Held in 2021
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Read the paper at your pace. Open an explanation when you need it.
Choose the correct analogy.
Aeroplane : Aerodrome: : ?
Car : Garage
Roots : Tree
Blood : Veins
Traffic : Road
Correct answer
Car : Garage
Why this answer is correct
Given,
Aeroplane : Aerodrome : : ?
Here we see aerodrome is the place where flight operations take place. Similarly, cars related operation takes place in the garage.
Hence, the correct answer is Car : Garage.
Brain : Skull :: Heart : ?
Pericardium
Head
Skull
Cranium
Correct answer
Pericardium
Why this answer is correct
The logic followed here is:
Second is a body protective covering for the first.
Skull protects the brain.
Similarly pericardium is the outer layer that protects the heart.
Hence, the correct answer is Pericardium.
Additional Information
Confusion Points
ACEG : IKMO :: PRTV : ?
QRUW
JLMP
WXAX
XZBD
Correct answer
XZBD
Why this answer is correct
Given,
ACEG : IKMO :: PRTV : ?
The pattern followed here is,
Hence, the correct answer is XZBD.
Iron : Fe :: Silver : ?
Na
CI
Ag
K
Correct answer
Ag
Why this answer is correct
Given,
Iron : Fe :: Silver : ?
Here we see Fe is the chemical symbol for Iron similarly for Silver the chemical symbol is Ag.
Hence, the correct answer is Ag.
? : Horse :: Board : Train
Stable
Shoe
Ride
Mount
Correct answer
Ride
Why this answer is correct
Given,
? : Horse :: Board : Train
Here we see we board the train similarly we ride the horse.
Hence, the correct answer is Ride.
? : Climb :: Recession : Withdrawl
Ascent
Absence
Dollar
Absorption
Correct answer
Ascent
Why this answer is correct
Given,
? : Climb :: Recession : Withdrawl
Here we see the synonym of withdrawl is recession similarly ascent is the synonym of climb.
Hence, the correct answer is Ascent.
.? : Play : : Sing : Anthem
Act
Scene
Theatre
Field
Correct answer
Act
Why this answer is correct
Given,
.? : Play : : Sing : Anthem
Here the relation is as we sing an anthem similarly we act a play.
Hence, the correct answer is Act.
Stars : Astronomy : : ? : History
Battles
Eclipse
Horse
Autumn
Correct answer
Battles
Why this answer is correct
Given,
Stars : Astronomy : : ? : History
Here we see stars are related to Astronomy similarly Battles are related to History.
Hence, the correct answer is Battles.
In these questions, a few complete messages are given in a coded language. Based on it find the code for a particular word.
If 123 stands for 987, 584 stands for ___?
526
485
876
None of these
Correct answer
526
Why this answer is correct
Given,
123 stands for 987
10 - 1 = 9 10 - 2 = 8 10 - 3 = 7
Similarly,
584 stands for 526.
10 - 5 = 5 10 - 8 = 2 10 - 4 = 6
Hence, the correct answer is 526.
If 2 = 5, 4 = 18, 6 = 39, then 8 = ?
43
58
68
103
Correct answer
68
Why this answer is correct
Given,
2 = 5, 4 = 18, 6 = 39.
The pattern here is,
2 = 22 + 1 = 5
4 = 42 + 2 = 18
6 = 62 + 3 = 39
Similarly,
8 = 82 + 4 = 68
Hence, the correct answer is 68.
If Orange is called Butter, Butter is called Soap, Soap is called Ink, Ink is called Honey and Honey is called Orange. Which of the following is used for writing?
Honey
Butter
Orange
Ink
Correct answer
Honey
Why this answer is correct
From the given information;
| Word | Called |
|---|---|
| Orange | Butter |
| Butter | Soap |
| Soap | Ink |
| Ink | Honey |
| Honey | Orange |
Here, we see to write we use ink, and ink is called honey.
Hence, the correct answer is Honey.
If MADRAS = NBESBT, BOMBAY = ?
CPNCBX
CPNCBZ
CPOCBZ
CQOCBZ
Correct answer
CPNCBZ
Why this answer is correct
We know,
Given,
MADRAS = NBESBT
The pattern followed here is,
Hence, the correct answer is CPNCBZ.
If 'L' stands for '+' , 'M' stands for '-', N stands for 'x', P stands for '÷' then 14 N 10 L 42 P 2 M 8 = ??
153
216
248
251
Correct answer
153
Why this answer is correct
Given,
'L' stands for '+' , 'M' stands for '-', N stands for 'x', P stands for '÷'
⇒ 14 N 10 L 42 P 2 M 8 = ??
⇒ 14 x 10 + 42 ÷ 2 - 8 = 140 + 21 - 8
= 161 - 8 = 153
If HAT is coded as 'jcv' then what will GUN be coded as?
iwp
ikm
kip
klp
Correct answer
iwp
Why this answer is correct
Given,
HAT is coded as 'jcv'
The pattern followed here is,
Hence, the correct answer is iwp.
In a certain code, '247' means 'spread red carpet' ; '236' means 'dust one carpet' and '234' means 'one red carpet'. Which digit in that code means 'dust'?
2
3
5
6
Correct answer
6
Why this answer is correct
Given,
'247' means 'spread red carpet' ; '236' means 'dust one carpet' and '234' means 'one red carpet'.
The pattern followed here is,
Here we see the code for 'dust' is 6.
Hence, the correct answer is 6.
Note: The question has been modified as it was errorenous
If 'wall' is called 'window', 'window' is called 'door', 'door' is called 'floor', 'floor' is called 'roof' and 'roof' is called 'ventilator', what will a person stand on?
Window
Wall
Floor
Roof
Correct answer
Roof
Why this answer is correct
Given,
The wall is called a window, the window is called a door, the door is called floor, the floor is called roof and roof is called a ventilator
Here we know that the person will be standing on the floor and the floor is called the roof.
Hence, the correct answer is the roof.
DIRECTIONS: Study the diagrams carefully and answer the following questions:
In the following diagram, the square represents Boys, the circle tall persons, the triangle is for Football players and the rectangle stands for swimmers.
Which represents boys who are swimmers, play football but are not tall?
D
E
G
J
Correct answer
G
Why this answer is correct
Given,
In the following diagram, the square represents Boys, the circle tall persons, the triangle is for Football players and the rectangle stands for swimmers.
The letter that represents boys who are swimmers, play football but are not tall is,
The letter G represents boys who are swimmers, play football but are not tall.
Hence, the correct answer is G.
Which letter represents female tall persons who play football but dont swim?
B
A
D
I
Correct answer
B
Why this answer is correct
Given,
Given,
In the following diagram, the square represents Boys, the circle tall persons, the triangle is for Football players and the rectangle stands for swimmers.
The letter that represents female tall persons who play football but don't swim are,
The letter B represents female tall persons who play football but don't swim.
Hence, the correct answer is B.
Boys who do not play football are swimmers?
C
D
J
H
Correct answer
J
Why this answer is correct
Given,
In the following diagram, the square represents Boys, the circle tall persons, the triangle is for Football players and the rectangle stands for swimmers.
Boys who do not play football are swimmers are,
Here we see the Boys who do not play football are swimmers are represented by J.
Hence, the correct answer is J.
Which letter represents tall boys who are football players?
C
D
G
H
Correct answer
D
Why this answer is correct
Given,
In the following diagram, the square represents Boys, the circle tall persons, the triangle is for Football players and the rectangle stands for swimmers.
The letter that represents tall boys who are football players is,
Here we see the letter D represents tall boys who are football players.
Hence, the correct answer is D.
Directions:
Refer the following diagram and answer the question given below:
Which letter among the following is brave but neither intelligent nor handsome?
Q
R
S
P
Correct answer
Q
Why this answer is correct
Given,
The letter that represents brave but neither intelligent nor handsome is,
Here we see both Q and U represents brave but neither intelligent nor handsome., but Option has only Q
Hence, the correct answer is Q.
Which letter among the following is intelligent, handsome and brave?
P
Q
R
S
Correct answer
S
Why this answer is correct
Given,
The letter that represents intelligent, handsome, and brave is,
∴ The letter that represents intelligent, handsome and brave is S.
Hence, the correct answer is S.
Which letter among the following is intelligent but not brave or handsome
T
Q
V
U
Correct answer
T
Why this answer is correct
Given,
The letter among the option is intelligent but not brave or handsome is,
Here we see both P and T represents intelligent but not brave or handsome.
In option there is only T,
Hence, the correct answer is T.
Which letter among the following is only intelligent and brave?
P
Q
R
U
Correct answer
R
Why this answer is correct
Given,
The letter that represents only intelligent and brave is, intersection region of only Intelligent and brave,
∴ The letter that represents only intelligent and brave is R.
Hence, the correct answer is R.
DIRECTIONS: The following questions are based on inter - se ranking between two people or a group of people:
In a queue, from the front, Karthik is 10th while from behind the rank of Ajay is 25th. Sovu is present in the middle of the two. It is given that the total number of persons is 50. Then determine the rank of Sovu from the front.
17
19
18
20
Correct answer
18
Why this answer is correct
Total number of person between Kartik and Ajay = 50 - (10 + 25) = 50 - 35 = 15
Sovu is the middle of these two it means 7 person between Sovu and Kartik and 7 person between Sovu and Ajay.
n Sovu and Kartik and 7 person between Sovu and Ajay.
So, Sovu's rank is 18th from the front.
Hence, the answer is 18.
Rank of Kikku is 3 from the top and 44 from the bottom of the list that shows qualified candidates. Fond the total number of qualified candidates.
34
36
46
33
Correct answer
46
Why this answer is correct
Total number of students qualified = Rank of Rikku from top + Rank of Rikku from bottom - 1
= 3 + 44 - 1
= 46
Hence, 46 is correct.
After the declaration of final result, Kumar found out that his rank is 6 below as that of Ashok, in a class having strength of 29. He also found out that from the last, his rank is 16th. Find out the rank of Ashok from the top?
8th
9th
14th
16th
Correct answer
8th
Why this answer is correct
Total number of students in a row = 29
Rank of Kumar from bottom = 16th
Rank of Ashok from bottom = 16 + 6 = 22nd
Rank of Ashok from top = Total number of students - Rank of Ashok from bottom + 1
= 29 - 22 + 1
= 8th
Hence, 8th is correct.
In a row of boys, the rank of Mannu is 6th from the top and 12th from the bottom. Similarly in another row of boys, rank of raju is 5th from the top and 15th from the bottom. Calculate the total number of boys present in the two rows?
38
40
36
Inadequate data
Correct answer
36
Why this answer is correct
Consider the first row, in which Mannu is sitting.
Total number of boys in a row = Position of Mannu from top + Position of Mannu from bottom - 1
= 6 + 12 - 1
= 17
Now, consider the second the row, in which Raju is sitting.
Total number of boys in a row = Position of Raju from top + Position of Raju from bottom - 1
= 5 + 15 - 1
= 19
Thus, total number of boys in both the rows: 17 + 19 = 36
Hence, 36 is correct.
In a queue, Ramesh is 12th from the front while Mayank is 21st from the back and Mohan is just in the middle of the two. If there are 50 persons in the queue, what position does Mohan occupy from the front?
20th
21st
22nd
23rd
Correct answer
21st
Why this answer is correct
1. Ramesh is 12th from the front while Mayank is 21st from the back. 2. Mohan is just in the middle of the two. 3. There are 50 persons in the queue.
Person between Raman and Mayank = 50 - (12 + 21) = 50 - 33 = 17
Person between Ramesh and Mohan = 8
Person between Mayank and Mohan = 8
Position of Mohan from the front is = 12 + 8 + 1(Mohan) = 21st
Hence, the answer is 21st.
Shree is shorter than Nilima. Pratima is taller than Shree. Subhash is taller than Nilima but shorter than Habib. Nilima is taller than Pratima. Who will be in the middle, if they stand in a row according to height?
Nilima
Subhash
Shree
Pratima
Correct answer
Nilima
Why this answer is correct
Given
Statements:
Shree is shorter than Nilima ⇒ Nilima > Shree
Pratima is taller than Shree ⇒ Pratima > Shree
Subhash is taller than Nilima but shorter than Habib ⇒ Habib > Subhash > Nilima
Nilima is taller than Pratima ⇒ Nilima > Pratima
On combining the above
Statements:
Habib > Subhash > Nilima > Pratima > Shree
Thus, Nilima is in the middle, if they stand in a row.
Hence, Nilima is correct.
Among five friends, Mohan is older than Raju but not as old as Lalit. Lalit is older than Neelesh and Kabir. Neelesh is younger than Raju but not the youngest. Who is fourth in the ascending order of age?
Mohan
Raju
Kabir
Neelesh
Correct answer
Mohan
Why this answer is correct
Given
Statements:
Mohan is older than Raju but not as old as Lalit ⇒ Lalit > Mohan > Raju
Lalit is older than Neelesh and Kabir ⇒ Lalit > Neelesh / Kabir
Neelesh is younger than Raju but not the youngest ⇒ Raju > Neelesh
On combining both the
Statements:
Lalit > Mohan > Raju > Neelesh > Kabir
Thus, Mohan is the fourth in ascending order.
Hence, Mohan is correct.
There are six sticks - P, Q, R, S, T, U. Stick Q is shorter than U, but taller than R, S is the tallest. P is little shorter than R and little taller than T. Which stick is the smallest?
P
Q
R
T
Correct answer
T
Why this answer is correct
Given
Statements:
Stick Q is shorter than U, but taller than R ⇒ U > Q > R
P is little shorter than R and little taller than T ⇒ R > P > T
S is the tallest.
On combining the statements ⇒ S > U > Q > R > P > T
Thus, stick T is the smallest.
Hence, T is correct.
DIRECTIONS: Results of class sixth were announced. Rubina and Begham stood at eight and ninth position respectively. Meher and Nasima ranked fifth and sixth positions respectively from the bottom. Due to calculation mistake fresh results were announced. This time Begham and Mehar exchanged their positions and consequently. Begham became fifteenth in the merit.
Rubina's position from the bottom is
12
13
14
18
Correct answer
12
Why this answer is correct
The initial position of Rubina from top = 8th
The initial position of Begham from top= 9th
The initial position of Meher from bottom = 5th
The initial position of Nasima from bottom = 6th
After exchanging the positions,
Begham exchanged the position with Meher,
Now, the position of Bhegam from the top implies the initial position of Meher from the top which is 15th.
So,
Total students = Initial position of Meher from the top + Initial position of Meher from the bottom - 1
Total students = 15 + 5 -1
Total students = 19
Rubina's current position from the bottom = total students - Rubina's current position from the top + 1
Rubina's current position from the bottom = 19 - 8 +1= 11 +1.
Hence, Rubina's position from the bottom is 12.
As per original results what was Nasima's position
5
13
14
16
Correct answer
14
Why this answer is correct
The initial position of Rubina from top = 8th
The initial position of Begham from top= 9th
The initial position of Meher from bottom = 5th
The initial position of Nasima from bottom = 6th
After exchanging the positions,
Begham exchanged the position with Meher,
Now, position of Bhegam from top implies the initial position of Meher from the top which is 15th.
So,
Total students = Initial position of Meher from the top + Initial position of Meher from the bottom - 1
Total students = 15 + 5 -1
Total students = 19
Nasima's current position from the top = total students - Nasima's current position from bottom +1
Nasima's position from the top = 19 - 6 + 1 = 13 + 1
Hence, the position of Nasima is 14th.
Directions
The following question is based on the relationship between different people and aspects related to those relationships:
Deepak said to Arun, "That boy in the photograph is the younger of the two brothers of the daughter of my father's wife." How is the boy in the photograph related to Deepak?
Son
Cousin
Brother
Nephew
Correct answer
Brother
Why this answer is correct
Given:
"That boy in the photograph is the younger of the two brothers of the daughter of my (Deepak's) father's wife (Deepak's mother).
This means, Deepak has a brother and a sister.
Thus, the person in the photograph is Deepak's brother.
The family diagram is as follows:
Hence, Brother is correct.
DIRECTIONS: Read the following passage and then answer the questions based on the information given in the passage.
In 1988 Mr and Mrs Sharma married and today they have two children, Saumya and Santosh. Their neighbours Mr and Mrs Dubey moved in to stay next to them in 1998. They had three children namely, Dolly, Deepak and Dinesh. In 2010, Deepak marries Saumya and they have two children Luv and Kush. Two years later, Dolly marries Guru who is also their neighbour and they two children lovely and Bunty.
How is Deepak related to Santosh?
Nephew
Brother
Cousin
Brother in law
Correct answer
Brother in law
Why this answer is correct
The below given diagram shows the relationship among members.
Deepak is the brother-in-law of Santosh.
Hence, brother-in-law is correct.
How is Santosh related to Kush?
Maternal Uncle
Aunt
Cousin
Brother in law
Correct answer
Maternal Uncle
Why this answer is correct
The below given diagram shows the relationship among members.
Santosh is the uncle of Kush.
Hence, Uncle is correct.
The following questions are based on relationship between different people and aspects related to those relationship:
Deepak said to Nitin, "That boy playing with the football is the younger of the two brothers of the daughter of my father's wife." How is the boy playing football related to Deepak?
Son
Brother
Cousin
Brother in law
Correct answer
Brother
Why this answer is correct
Given:
Deepak said to Nitin, "That boy playing with the football is the younger of the two brothers of the daughter of my father's wife (Deepak's mother)."
The below given diagram shows the relationship.
The boy playing with the football is the brother of Deepak.
Hence, Brother is correct.
Introducing a boy, a girl said, "He is the son of the daughter of the father of my uncle." How is the boy related to the girl?
Brother
Nephew
Uncle
Son in law
Correct answer
Brother
Why this answer is correct
Given
Statement:
Introducing a boy, a girl said, "He is the son of the daughter (girl's mother) of the father (girl's grandfather) of my (girl's) uncle''.
The below given diagram shows the relationship.
The boy is the brother of the girl.
Hence, Brother is correct.
Pointing to a photograph of a boy Suresh said, "He is the son of the only son of my mother." How is suresh related to that boy?
Brother
Uncle
Cousin
Father
Correct answer
Father
Why this answer is correct
Given:
Pointing to a photograph of a boy Suresh said, ''He is the son of the only son (Suresh) of my (Suresh's) mother''.
The below given diagram shows the relationship.
Suresh is the father of the boy in the photograph.
Hence, Father is correct.
DIRECTIONS: The following questions are based on the ability to perceive direction and distance:
Salim started to move in direction of west in an open field and stopped after moving 5km. Now he turned to his left - hand side and moved 15 km. How much total distance he has to cover to reach his starting point?
25 Km
20 Km
30 Km
15 Km
Correct answer
20 Km
Why this answer is correct
The below given diagram shows the direction of Salim:
Total distance covered by him to reach the starting point = 5 km + 15 km = 20 km
Hence, 20 km is correct.
Mamta walks 14 meters towards West, then turns to her right and walks 14 meters and then turns to her left and walks 10 meter. Again, turning to her left she walks 14 meters. What is the shortest distance between her starting point and the end position?
38 m
28 m
24 m
10 m
Correct answer
24 m
Why this answer is correct
The below given diagram shows the direction of Mamta:
Total distance between Mamta's starting point and end point = 10 m + 14 m = 24 m
Hence, 24 m is correct.
Prakash starts walking from a point A towards South. After walking 40 meters, he took a left turn. He then walked 30 meters and reached a point B. What is the total distance between A and B and B is towards which direction of A?
70 m SE
50 m SW
50 m SE
70 m SW
Correct answer
70 m SE
Why this answer is correct
The below given diagram shows the directions of Prakash.
Distance between A and B = 40 m + 30 m = 70 m
B is towards the South West of A.
Hence, 70 m SE is correct.
Mohan was going to the office in the morning and met his friend Sohan on the way. Their cars came close and stood opposite each other' car. If Mohan's car shadow was on its driver side, which direction was Sohan's car facing?
East
West
North
South
Correct answer
North
Why this answer is correct
In the morning, the Sun will be in the east and its shadow will be in the west.
Thus, Mohan's car must be towards the south direction. And, opposite to the will be Sohan's car i.e. North direction.
Hence, North is correct.
In a game of carrom, Akhilesh and Brijesh are sitting opposite. Dayasagar faces towards North. If Akhilesh faces towards West, then who faces towards South?
Akhilesh
Brijesh
Dayasagar
None of them
Correct answer
None of them
Why this answer is correct
Persons sitting around the carrom are shown in the below given diagram.
We can see that no one is facing south from the given persons.
Hence, None of the above is correct.
A child went 90 m towards the East to look for his father, then he turned right and went 20 m. After this he turned right and after going 30 m he reached his uncle's house. His father was not there. From there he went 100 m to his north and met his father. How far did he travel to meet his father from the starting point? (shortest distance)
80 m
100 m
170 m
260 m
Correct answer
100 m
Why this answer is correct
The diagram shows the direction of the child.
Shortest Distance between the starting point and the point where the child met his father:
= [(60)2 + (80)2]1/2
= [3600 + 6400]1/2
= [10000]1/2
=100 m
Hence, 100 m is correct.
P started from his house towards the west. After walking a distance of 25 m. He turned to the right and walked 10 m. He then again turned to the right and walked 15 m. After this, he is to turn at 135° clockwise direction and to cover 30 m. In which direction should he go?
West
South
South West
South East
Correct answer
South West
Why this answer is correct
Now, he is in South-west direction.
Hence, the answer is South-west.
A girl wants to go her school. She started from her house which was in the South and come to a crossing. The road to her right ended in a market, straight ahead was a cinema hall. In which direction was her school?
South
North
East
West
Correct answer
West
Why this answer is correct
A girl wants to go her school. She started from her house which was in the South and come to a crossing. The road to her right ended in a market, straight ahead was a cinema hall.
Her school was in the West direction.
Hence, the answer is West.
DIRECTIONS: In the following questions choose the correct alternative if:
(i) & means 'is greater than'
(ii) % means 'is lesser than'
(iii) > means 'is equal to'
(iv) = means 'is not equal to'
(v) @ means 'is a little more than'
(vi) # means 'is a little less than'
If ac & bd and ab > cd, then
c & b
b > a
a % c
Can't say
Correct answer
c & b
Why this answer is correct
According to the given information,
| Symbol | & | % | > | = | @ | # |
|---|---|---|---|---|---|---|
| Meaning | > | < | = | ≠ | > | < |
Given: ac & bd and ab > cd
After decoding symbols:
ac > bd and ab = cd
ac > bd
\( {a \over d}\) > \({b\over c}\)......(1)
ab = cd
\( {a\over d}\) = \({c\over b}\) .......(2)
By equation (1) and (2)
\({c\over b}\) > \({b\over c}\)
c2 > b2
c > b
Hence, c & b is the correct answer.
If ba > ac, then
a = c
b > c
a = b
All of them
Correct answer
b > c
Why this answer is correct
According to the given information,
| Symbol | & | % | > | = | @ | # |
|---|---|---|---|---|---|---|
| Meaning | > | < | = | ≠ | > | < |
Given : ba > ac
After decoding,
ba = ac
Imply that b > c
Hence, b > c is the correct answer.
If c % b and b # a, then
a & c
c @ a
b > c
c > a
Correct answer
a & c
Why this answer is correct
According to the given information,
| Symbol | & | % | > | = | @ | # |
|---|---|---|---|---|---|---|
| Meaning | > | < | = | ≠ | > | < |
Coded
Statement:
c % b and b # a
Decoded
Statement:
c < b and b < a
Combined
Statement:
c < b < a
Thus, a > c is true.
Hence, a & c is correct.
If a = b and b # c, then
c & a
b % a
a & c
Can't say
Correct answer
Can't say
Why this answer is correct
According to the given information,
| Symbol | & | % | > | = | @ | # |
|---|---|---|---|---|---|---|
| Meaning | > | < | = | ≠ | > | < |
Given
Statement:
a = b and b # c
Decoded
Statement:
a ≠ b and b < c
Combined
Statement:
a ≠ b < c
Here, we don't know the exact value of 'a'. Thus, we can't say anything about 'a'.
Hence, Can't say is correct.
If c @ a and a @ b, then
b & a
c @ b
b @ a
Can't say
Correct answer
c @ b
Why this answer is correct
According to the given information,
| Symbol | & | % | > | = | @ | # |
|---|---|---|---|---|---|---|
| Meaning | > | < | = | ≠ | > | < |
Coded
Statement:
c @ a and a @ b
Decoded
Statement:
c > a and a > b
Combined
Statement:
c > a > b
Thus, c > b is true.
Hence, c @ b is correct.
If a % b and b > c, then
a % c
c % a
c > a
Can't say
Correct answer
a % c
Why this answer is correct
According to the given information,
| Symbol | & | % | > | = | @ | # |
|---|---|---|---|---|---|---|
| Meaning | > | < | = | ≠ | > | < |
Coded
Statement:
a % b and b > c
Decoded
Statement:
a < b and b = c
Combined
Statement:
a < b = c
Thus, a < c is true.
Hence, a % c is correct.
DIRECTIONS: In each of the following questions, the sign of the equations are replaced by each other as per the following. Answer the questions that follow.
(i) + means -
(ii) - means ×
(iii) × means ÷
(iv) ÷ means +
5 ÷ 5 × 5 + 5 = ?
5
-5
0
None of the above
Correct answer
None of the above
Why this answer is correct
Given codes:
| Symbol | + | - | × | ÷ |
|---|---|---|---|---|
| Meaning | - | × | ÷ | + |
Given equation: 5 ÷ 5 × 5 + 5 = ?
Decoded equation: 5 + 5 ÷ 5 - 5
= 5 + 1 - 5
= 6 - 5
= 1
Hence, None of the above is correct.
28 ÷ 5 - 3 × 1 + 7 = ?
36
44
43
45
Correct answer
36
Why this answer is correct
Given codes:
| Symbol | + | - | × | ÷ |
|---|---|---|---|---|
| Meaning | - | × | ÷ | + |
Given equation: 28 ÷ 5 - 3 × 1 + 7 = ?
Decoded equation: 28 + 5 × 3 ÷ 1 - 7
28 + 5 × 3 - 7
28 + 15 - 7
43 - 7
36
Hence, 36 is correct.
The following questions are based on time, day and date, calender and clock.
Two people A and B are at a distance of 260 km from each other at 9:00 a.m. A immediately starts moving towards B at a speed of 25 km/h and at 11:00 a.m. B starts moving towards A at a speed of 10 km/hr. At what time (in p.m.) will they meet each other?
5:00 p.m.
6:00 p.m.
6:30 p.m.
7:00 p.m.
Correct answer
5:00 p.m.
Why this answer is correct
Distance covered by A in 2 hours = 25 km/hr × 2 hrs = 50 km
This means, he would have covered 50 km till 11:00 a.m.
Remaining distance between A and B = 260 km - 50 km = 210 km
B starts his journey at 11:00 a.m. and both are moving towards each other.
Thus, relative speed of A and B = 25 km/her + 10 km/hr = 35 km/hr
Time taken to meet A and B = Distance / Speed
= 210 km / 35 km
= 6 hours
The time, when A and B will meet be 11:00 a.m. + 6 hours = 5:00 p.m.
Hence, 5:00 p.m. is correct.
An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock 2 o'clock in the afternoon?
360
180
90
60
Correct answer
180
Why this answer is correct
At 8 o'clock in the morning, the hour hand will be at 8.
At 2 o'clock in the afternoon, the hour hand will be at 2.
In one hour the hour hand rotates 30 degrees.
8 o'clock morning to 2 o'clock afternoon = 6 hrs
Therefore the hour hand rotate = 6 × 30
= 180 degree
Hence, 180 is correct.
NOTE-
The hour hand at 8:00 and 2:00 makes a linear pair, which is of 180 degrees.
Today on Tuesday Japan's FM reached India for a bilateral talk and India's FM will go to Japan after 45 days. On which day will India's FM go to Japan?
Monday
Tuesday
Friday
Wednesday
Correct answer
Friday
Why this answer is correct
Given:
Today, the day on which Japan's FM reached India is Tuesday.
First, we will find number of odd days in these 45 days.
(45 ÷ 7) = 3 (Remainder)
Thus, odd days in these 45 days = 3.
Thus, the day when India's FM will go to japan: Tuesday + 3 odd days i.e. Friday.
Hence, Friday is correct.
Today, it is Friday, what will be the day after 91 days?
Sunday
Tuesday
Friday
Wednesday
Correct answer
Friday
Why this answer is correct
Given:
Today, it is Friday. We have to find the day after 91 days.
First, we will find number of odd days in these 91 days.
(91 ÷ 7) = 0 (Remainder)
Thus, odd days in these 91 days is 0.
Thus, the day after 91 days will be: Friday + 0 = Friday.
Hence, Friday is correct.
If 30th of a month is three days after Monday then what will be the day on 30th?
Saturday
Friday
Thursday
Wednesday
Correct answer
Thursday
Why this answer is correct
30th of the month is three days after Monday.
This means, the day on 30th will be: Monday + 3 days = Thursday
Hence, Thursday is correct.
If the World Trade Center attacked on Tuesday, what was the day on Indian Independence Day that year?
Monday
Friday
Tuesday
Wednesday
Correct answer
Wednesday
Why this answer is correct
The World Trade Center attacked on 11th September 2001
It means 11th September 2001 is - Tuesday
First, we will calculate the days between 15th August 2001 and 11th September 2001 i.e. 27 days.
Then, we will calculate the number of odd days in these 27 days = 27/7 =. 6(Remainder) odd days.
Thus, the day on 11th September 2001: Tuesday - 6 odd days = Wednesday
Hence, Wednesday is correct.
If Christmas was celebrated on a Friday, then on what day will be Republic day of next year be celebrated?
Monday
Tuesday
Thursday
Friday
Correct answer
Tuesday
Why this answer is correct
As we know that 25th December is Christmas.
According to the question 25th December - Friday
First, we will calculate the days between 25th December and 26th January = 6 + 26 =.32 days.
Then, we will calculate the number of odd days in these 32 days = 32/7 =. 4 (Remainder) odd days.
Thus, the day on 26th January : Friday + 4 odd days = Tuesday
Hence, Tuesday is correct.
If 3rd December, 2000 falls on Sunday then what will be the day on 3rd January, 2001?
Sunday
Monday
Tuesday
Wednesday
Correct answer
Wednesday
Why this answer is correct
Given:
3rd December 2000 - Sunday
First, we will calculate the days between 3rd December 2000 and 3rd January 2001 = 28 + 3 = 31 days.
Then, we will calculate the number of odd days in these 31 days = 31/7 =. 3 (Remainder) odd days.
Thus, the day on 3rd January 2001: Sunday + 3 odd days = Wednesday
Hence, Wednesday is correct.
DIRECTIONS: In each of the following series determine the order of the letters/numbers. Then from the given options select the one which will complete the given series.
2, A, 9, B, 6, C, 13, D, ?
9
10
12
19
Correct answer
10
Why this answer is correct
Given series: 2, A, 9, B, 6, C, 13, D, ?
There are two series, one is of numbers and other is of letters.
Number series: 2, 9, 6, 13, ?
Letter series: A, B, C, D
2 + 7 = 9
9 - 3 = 6
6 + 7 = 13
13 - 3 = 10
Hence, 10 is the correct. answer
CA, EE, GH, IL, KO, ?
RM
MA
MS
MR
Correct answer
MS
Why this answer is correct
Given series: CA, EE, GH, IL, KO, ?
Pattern:
Hence, MS is the correct answer.
2, 4, 8, 16, 32, ?
50
54
64
58
Correct answer
64
Why this answer is correct
Given series: 2, 4, 8, 16, 32, ?
2 × 2 = 4
4 × 2 = 8
8 × 2 = 16
16 × 2 = 32
32 × 2 = 64
Hence, 64 is correct.
2, 5, 10, 17, 26, ?
45
42
40
37
Correct answer
37
Why this answer is correct
Given series: 2, 5, 10, 17, 26, ?
2 + 3 = 5
5 + 5 = 10
10 + 7 = 17
17 + 9 = 26
26 + 11 = 37
Hence, 37 is correct.
1, 4, 9, 16, 25, ?
30
36
44
40
Correct answer
36
Why this answer is correct
Given series: 1, 4, 9, 25, ?
Pattern: The given series is a square of natural numbers.
(1)2 = 1
(2)2 = 4
(3)2 = 9
(4)2 = 16
(5)2 = 25
(6)2 = 36
Hence, 36 is correct.
E8Y, J27T, O64O, ?
T125J
T25J
T625O
T625J
Correct answer
T125J
Why this answer is correct
Given: E8Y, J27T, O64O, ?
The logic is as,
Hence, T125J is correct.
BC5, EF11, HI17, KL23, NO29, ?
PQ35
PQ33
QR33
QR35
Correct answer
QR35
Why this answer is correct
Given: BC5, EF11, HI17, KL23, NO29, ?
The logic is as:
Hence, QR35 is correct.
AZNP, ?, DWQP, FUTP, GTXP, IRCP
BXOP
CXOP
BYPP
CYPP
Correct answer
CXOP
Why this answer is correct
Given series:
AZNP, ?, DWQP, FUTP, GTXP, IRCP
The logic is as:
Hence, CXOP is correct.
V, A, H, ?
M
N
P
Q
Correct answer
Q
Why this answer is correct
Given series: V, A, H, ?
The logic is as,
V + 5 = A
A + 7 = H
H + 9 = Q
Hence, Q is correct.
PBD, REH, THL, ?
VKP
STK
RST
PRT
Correct answer
VKP
Why this answer is correct
In this question shows that first letter of the word add 2 and second letter of the word add 3 and third letter of the word add 4 then we get the answer VKP.
Hence, option 1 is the correct answer.
0, 4, 16, 40, 80, 140, ?
240
224
336
504
Correct answer
224
Why this answer is correct
The logic are given bellow
Hence, option 2 is the correct answer.
DIRECTIONS: Choose the next logical figure from the given alternatives.
1
2
3
4
Correct answer
1
Why this answer is correct
The given figure are
In above figure B is the water image of figure A.
Similarly, figure C is the mirror image of figure D which are given bellow
Hence, option 1 is the correct answer.
1
2
3
4
Correct answer
3
Why this answer is correct
The given figure are given bellow
In this figure (A) three lines are cut and inverted to the opposite side in figure (B). The dots are at same place.
Similarly, in figure (C) two lines are cut and inverted to the opposite side in figure (B). The dots are at same place.
Hence, option 3 is the correct answer.
1
2
3
4
Correct answer
1
Why this answer is correct
The given figure are
After observation the figure is
Hence, option 1 is the correct answer.
1
2
3
4
Correct answer
1
Why this answer is correct
The given figure are
After observation of the figure we fill that figure
Hence, option 1 is the correct answer.
1
2
3
4
Correct answer
3
Why this answer is correct
The given figure are
After the observation the next figure are
Hence, option 3 is the correct answer.
Directions
In each of the following questions one of the figures is different from the rest. Spot the figure.
1
2
3
4
Correct answer
1
Why this answer is correct
In this question the figure are
In the figure 1 all line with corner point but in figure 2, 3 and 4 all lines are with plane side. So (a) 1 is different from others.
Hence, option 1 is the correct answer.
Directions
In each of the following questions one of the figures is different from the rest. Spot the figure.
1
2
3
4
Correct answer
1
Why this answer is correct
The given figure are
In the figure 1 the arrow present at third line from large line but in figure 2, 3 and 4 the arrow present at fourth line from the large line.
Hence, option 1 is the correct answer.
Directions
In each of the following questions one of the figures is different from the rest. Spot the figure.
1
2
3
4
Correct answer
4
Why this answer is correct
The given figure are
In this figure 4 horizontal line are plane line but in figure 1, 2 and 3 the vertical line are plane line.
Hence, option 4 is the correct answer.
Directions
In each of the following questions one of the figures is different from the rest. Spot the figure.
1
2
3
4
Correct answer
1
Why this answer is correct
The given figure are
In figure 1 total number of lines closed in a shape from outer diagram to inner diagram: are 5, 4, 6 (not in sequence or uniform pattern of increasing or decreasing)
in figure 2 total number of lines from outer diagram to inner diagram: 5, 4, 3 (Uniform pattern of decreasing)
in figure 3 total number of line from outer diagram to inner diagram : 3, 4, 5 (Uniform pattern of increasing)
in figure 4 total number of lines from outer diagram to inner diagram : 6, 5, 4 (Uniform pattern of decreasing)
So we can say that in figure 2, 3 and 4 all number of line either increasing or decreasing order but in option 1 there is no order. So figure 1 is different from others.
Hence, option 1 is the correct answer.
Directions
In each of the following questions one of the figures is different from the rest. Spot the figure.
1
2
3
4
Correct answer
4
Why this answer is correct
The given figure are
In figure 1, 2 and 3 has + shape but no square shape present but in figure 4 square shape is present but no + Shape.
Hence, option 4 is the correct answer.
Directions
Choose the missing numbers with logic.
Find the next logical number from the given alternatives.
6
7
8
9
Correct answer
8
Why this answer is correct
The given figure are
The logic is:
add all the number in the sectors of circle except the middle one/ number of sectors = middle number
In the figure 1,
number of sectors = 4
3 + 8 + 7 + 2 = 20/ 4 = 5
In figure 2:
number of sectors = 5
6 + 4 + 8 + 5 + 7 = 30/5 = 6
Similarly,
Figure 3:
number of sectors = 6
9 + 7 + 8 + 9 + 7 + 8 = 48/6 = 8
Hence, option 3 is the correct answer.
Find the missing number in the third figure.
4
5
6
7
Correct answer
4
Why this answer is correct
In the figure a
(9 + 8) - ( 5 + 6) = 17 - 11 = 6
In the figure b
(8 + 3) - ( 2 + 1) = 11 - 3 = 8
Similarly, in the figure c
(6 + 7) - ( 4 + 5) = 13 - 9 = 4
Hence, option 1 is the correct answer.
Find the missing number.
7
8
9
10
Correct answer
8
Why this answer is correct
We add first triangle two number and second triangle two number and we get first triangle resultant-
5 + 3 + 1 + 4 = 13
We add second triangle two number and third triangle two number and we get second triangle resultant-
1 + 4 + 2 + 7 = 14
Similarly,
we add the fourth and Fifthh triangle to get the resultant of fourth triangle,
3 + ? + 4 + 3 = 18
? + 10 = 18
? = 18 - 10
? = 8
Hence, option 2 is the correct answer.
34
12
2
1
Correct answer
1
Why this answer is correct
We add first row two number we get second row first number and we add first row last two number we get second row second number. We add second row number we get third row number. We add fourth row two number we get third row number. We add fifth row first two number we get fourth row first number and we add fifth row last two number we get fourth row second number -
13 + 4 = 17
4 + ? = 5
? = 5 - 4
? = 1
Hence, option 4 is the correct answer.
7
9
6
1
Correct answer
6
Why this answer is correct
We add all the row number the we get 15.
9 + 1 + 5 = 15
4 + 8 + 3 = 15
Similarly,
2 + ? + 7 = 15
? = 15 - 9
? = 6.
Hence, option 3 is the correct answer.
In a low scoring T20 match the chasing team won by 10 wickets. the opener's age was 31 years and the first down was 11 years younger to him. The average of players who did not get their turn to bat is one year more than the overall average of the team. What is the average age of the team?
30 years
31 years
32 years
34 years
Correct answer
30 years
Why this answer is correct
Given
In a low scoring T20 match the chasing team won by 10 wickets. the opener's age was 31 years and the first down was 11 years younger to him. The average of players who did not get their turn to bat is one year more than the overall average of the team.
Concept used
Average
Calculation
T20 match was won by 10 wickets means no wicket fall.
Only the opening and one down batsmen played throughout.
As per the question,
Let the average of whole team be x
⇒ \(\frac{{11x\ -\ \left( {31\ +\ 20} \right)}}{9} = x + 1\)
⇒ 11x - 51 = 9x + 9
⇒ 2x = 60
⇒ x = 60/2 = 30 years.
The average of whole team = 30 years.
An important project was to be submitted to the Headquarters. Clerk Sunil could type 40 pages in 8 hours whereas Clerk Abhishek could type 36 pages in 6 hours. If they start typing together on two different computers at 8:00 in the morning, then at what time will they finish the project of 121 pages?
11:00 pm
9:00 pm
7:00 pm
7:00 am
Correct answer
7:00 pm
Why this answer is correct
Given
An important project was to be submitted to the Headquarters. Clerk Sunil could type 40 pages in 8 hours whereas Clerk Abhishek could type 36 pages in 6 hours. If they start typing together on two different computers at 8:00 in the morning.
Concept used
Time and work
Calculation
Total work = n × Time
nSunil = 40/8 = 5
nAbhishek = 36/6 = 6
⇒ 121 = (5 + 6) × t
⇒ t = 121/11
⇒ t = 11 hrs.
⇒ 8 : 00 am + 11 hrs = 7 : 00 p.m
A television of square shape of 21 inches, placed in the cook house was replaced by a new television of square size of 42 inches. What is the total screen surface area increase?
100%
200%
300%
400%
Correct answer
300%
Why this answer is correct
Given
A television of 21 inches placed in the cook house was replaced by a new television of 42 inches.
Concept used
Percentage increase
Area of Square = (Side)2
Calculation
Area of Television
⇒ 21 × 21 = 441
Area of newly replaced television
⇒ 42 × 42
⇒ 1764
Change in area = 1764 - 441 = 1323
% increase = \(\frac{{1323}}{{441}} × 100 = 300% \)
∴ The percentage increase is 300%.
The Regiment fund of a unit has been invested into FD offering interest rate of 8% per annum compounded quarterly. If the initial investment was for Rupees 12 housand and the maturity amount was Rupees 19301, then find the time period of investment.
2 years
3 years
4 years
6 years
Correct answer
4 years
Why this answer is correct
Concept:
A = \(\rm p[1 + \frac{r}{100}]^t \)
A = total amount
P = principal amount
r = rate of interest
t = time
For quarterly , we get
\(\rm A = p[1 + \frac{r}{400}]^{4t} - P\)
Concept:
Given: Total amount = 19301, Principal amount = 12000 and rate of interest = 8%
\(\rm A = p[1 + \frac{r}{400}]^{4t} \)
⇒ \(\rm 19301 =12000[1 \ +\ \frac {8}{400}]^{4t} \)
⇒ \(\rm \frac {19301}{12000} =[1 \ +\ \frac {1}{50}]^{4t}\)
⇒ \(\rm \frac {19301}{12000} =[\frac {51}{50}]^{4t}\)
We can take an approximation value of t
⇒ 1.6084 = (1.02)4t
For t = 6 year
The roman notation for 510 is:
CMX
DC
DX
CDX
Correct answer
DX
Why this answer is correct
Given
Roman notation for 510
Calculation
Here 500 is denoted by D
10 is denoted by X
510 = DX
At an online shopping site, the discount on an item 40% by the manufacturer. Then on top of that site gave additional discount of 20%. While making the payment the Credit Card company gave further discount of 5% on the transaction. If one had to pay Rupees 246.24 for the item, what was the MRP of the item?
500
520
540
560
Correct answer
540
Why this answer is correct
Given
At an online shopping site, the discount on an item 40% by the manufacturer. Then on top of that site gave additional discount of 20%. While making the payment the Credit Card company gave further discount of 5% on the transaction.
Concept used
Profit and loss
Calculation
Discount on the mark price of an article always gives us selling price.
First discount of 40% = 3/5
Second discount of 20% = 4/5
Third discount of 5% = 19/20
As per the question,
⇒ \(246.24 = MRP \times \frac{3}{5} \times \frac{4}{5} \times \frac{{19}}{{20}}\)
⇒ MRP = Rs.540
A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
3
4
5
6
Correct answer
5
Why this answer is correct
Given
A vendor bought toffees at 6 for a rupee.
Concept used
Profit and loss
Calculation
Cost price of 1 toffee = Rs.6
Selling price of 1 toffee = 120 % of Rs.1
SP = 6/5
Rs.6/5 toffees sold is six
For Rs.1 toffee sold = (6 × 5/6) = 5
One bus takes 7.5 h to move from A to B and another bus takes 9 h to move from A to C. If A is 300 km from B and 450 km from C, then find the ratio of the speeds of the two buses.
2:3
4:3
4:5
8:9
Correct answer
4:5
Why this answer is correct
Given
One bus takes 7.5 h to move from A to B and another bus takes 9 h to move from A to C. If A is 300 km from B and 450 km from C
Concept used
Time and distance
Calculation
Distance of A to B is 300 km.
Time taken by bus to move from A to B = 7.5 hours
Speed = 300/7.5
Speed = 40 km/hr
Distance of A to C is 450 km.
Time taken by bus to move from A to C = 9 hours
Speed = 450/9
Speed = 50 km/hr
Ratio of speed = 40 : 50
Ratio of speed = 4 : 5
The difference between 78% of a number and 59% of the same number is 323. What is 62% of that number?
1050
1080
1060
1054
Correct answer
1054
Why this answer is correct
Given
The difference between 78% of a number and 59% of the same number is 323.
Concept used
Percentage
Calculation
As the number is same,
⇒ 78% - 59% = 19%
⇒ Given that difference of 19% = 323
1% = 323/19
⇒ 100% = 1700
As per the question,
⇒ 62% of 1700
⇒ 62 × 17 = 1054
The greater ratio between 2 : 3 and 4 : 5 is
2 : 3
4 : 5
Both are same
Can't say
Correct answer
4 : 5
Why this answer is correct
Given
Two ratios 2 : 3 and 4 : 5
Concept used
Ratio and proportion
Calculation
⇒ 2 : 3 = 2/3 × 100 = 66.66
⇒ 4 : 5 = 4/5 × 100 = 80
Out of two 4 : 5 is greater ratio.
Rajesh is 10 years younger to Baskar, 10 years back, Rajesh's age was two thirds that of Baskar's. How old is Baskar now?
30
40
20
16
Correct answer
40
Why this answer is correct
Given
Rajesh is 10 years younger to Baskar, 10 years back, Rajesh's age was two thirds that of Baskar's.
Concept used
Ratio and proportion
Calculation
Let the present age of Baskar be x years.
Rajesh's present age = x - 10
10 years back, Rajesh's age was two thirds that of Baskar's.
⇒ \(x - 20 = \frac{2}{3}\left( {x - 10} \right)\)
⇒ 3x - 60 = 2x - 20
⇒ x = 40
Baskar is of 40 years now.
How long will it take for a sum of money to grow from Rs. 1250 to Rs. 10,000, if it is invested at 12.5% p.a. simple interest?
8 years
64 years
72 years
56 years
Correct answer
56 years
Why this answer is correct
Given
Principal = Rs.1250
Amount = Rs.10000
Rate = 12.5%
Concept used
Simple interest
Calculation
Interest = Amount - Principal
Interest = 10000 - 1250
Interest = Rs.8750
Let the time be n years.
Si = \(\frac{{P\ \times\ R\ \times\ T}}{{100}}\)
\(8750 = \frac{{1250\ \times\ 12.5\ \times\ n}}{{100}}\)
n = \(\frac{{700}}{{12.5}}\)
n = 56 years.
Working together, A and B can do a job in 6 days. B and C can do the same job in 10 days, while C and A can do it in 7.5 days. How long will it take if all A, B and C work together to complete the job?
8 days
5 days
3 days
7 days
Correct answer
5 days
Why this answer is correct
Given
Working together, A and B can do a job in 6 days. B and C can do the same job in 10 days, while C and A can do it in 7.5 days.
Concept used
Time and work
Calculation
Total work = Number of days × efficiency
A + B does a work in 6 days
B + C does a work in 10 days
C + A does a work in 7.5 days
Take Lcm of (6,10,7.5) which is 450
Total work = 450 units
Efficiency of A + B = 450/6 = 75
Efficiency of B + C = 450/10 = 45
Efficiency of A + C = 450/7.5 = 60
Total efficiency of A, B and C = (75 + 45 + 60) / 2
Total efficienct of A, B and C = 90
Number of days = 450 / 90
Number of days taken by A, B and C working together = 5 days.
Nikita takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Nikita during the time the car covers 1.6 km?
480m
520m
600m
800m
Correct answer
600m
Why this answer is correct
Given
Nikita takes as much time in running 18 meters as a car takes in covering 48 meters.
Concept used
Time and Distance
Calculation
Time taken by Nikita = Time taken by Car
Time = Distance / Speed
⇒ \(\frac{{{d_1}}}{{{S_{nikita}}}} = \frac{{{d_2}}}{{{S_{Car}}}}\)
⇒ \(\frac{{18}}{{{S_{nikita}}}} = \frac{{48}}{{{S_{Car}}}}\)
⇒ \(\frac{{{S_{nikita}}}}{{{S_{Car}}}} = \frac{{18}}{{48}} = \frac{d}{{1600}}\)
⇒ distance = 600 m
A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With the help of C, they did the job in 4 days only. Then, C alone can do the job in:
9 (1/5) days
9 (2/5) days
9 (3/5) days
10 days
Correct answer
9 (3/5) days
Why this answer is correct
Given
A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With the help of C, they did the job in 4 days only.
Concept used
Time and work
Calculation
Total work = Number of days × Efficiency
Take Lcm of (16, 12 and 4) which is 48
Efficiency of A = 48/16 = 3 unit
Efficiency of B = 48/12 = 4 unit
Efficiency of A + B + C = 48/4 = 12
Efficiency of C = 12 - (3 + 4)
Efficiency of C = 12 - 7
Efficiency of C = 5 unit
C alone can do the work in 48/5 = 9 (3/5) days.
If selling price is doubled, the profit triples. Find the profit percent.
66 2/3%
100%
105 1/3%
120%
Correct answer
100%
Why this answer is correct
Given
Selling price is doubled, the profit triples.
Concept used
Profit and Loss
Calculation
Let the CP be x and SP be y
As per the question,
⇒ 2y - x = 3(y - x)
⇒ 2y - x = 3y - 3x
⇒ 2x = y
⇒ \(\frac{x}{y} = \frac{1}{2}\)
CP = 1 unit, SP = 2 unit
Gain = 1 unit
Profit % = \(\frac{1}{1} \times 100 \)
Profit % = 100%
A, P, R, X, S and Z are sitting in a row facing north. S and Z are in the centre. A and P are at the ends. R is sitting to the left of A. Who is to the right of P?
A
X
S
Z
Correct answer
X
Why this answer is correct
According to the given information :
Thus, it is clear from both the cases that X is to the right of P.
Hence, the correct answer is "X".
Two numbers are respectively 20% and 50% more than a third number. Find the ratio of first and second number.
2 : 5
3 : 5
4 : 5
6 : 7
Correct answer
4 : 5
Why this answer is correct
Given
Two numbers are respectively 20% and 50% more than a third number.
Concept used
Ratio and proportion
Calculation
Let the third number be 100
Let the first and second numbers be A and B
A is 20% more than 100 = 120
B is 50% more than 100 = 150
A : B = 120 : 150
A : B = 12 : 15
A : B = 4 : 5
Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary after increment?
Rs. 17000
Rs. 20000
Rs. 25000
Rs. 38000
Correct answer
Rs. 38000
Why this answer is correct
Given
Salaries of ravi and Sumit are in the ratio 2 : 3.
If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57.
Concept used
Ratio and proportion
Calculation:
Let the initial salaries of Ravi and sumit be 2x and 3x
As per the question,
⇒ \(\frac{{2x\ +\ 4000}}{{3x\ +\ 4000}} = \frac{{40}}{{57}}\)
⇒ 57(2x + 4000) = 40(3x + 4000)
⇒ 6x = 68000
⇒ 3x = 34000
Sumit's present salary = 3x + 4000
⇒ Rs.(34000 + 4000) = Rs.38000
∴ Sumit's present salary is Rs. 38000
Alternate Method Given:
Salaries of ravi and Sumit are in the ratio 2 : 3.
If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57
Calculation:
To balance the given ratio, we need to multiply (before)Salary with 17 .
6 = 4000
1 = 4000/6
57(incremented salary) = (4000/6) × 57
⇒ 38,000
∴ Sumit's present salary is Rs. 38000
P and Q can finish work in 15 & 10 days. Q starts the work and leaves it after 5 days. The number of days in which P can complete the remaining work in
15/2 days
25/2 days
30/2 days
33/3 days
Correct answer
15/2 days
Why this answer is correct
Given
P and Q can finish a work in 15 & 10 days. Q starts the work and leaves it after 5 days.
Concept used
Time and work
Calculation
Total work = Number of days × Efficiency
Lcm of (15 and 10) is 30
Total work = 30 units
Efficiency of P = 30/15 = 2 unit
Efficiency of Q = 30/10 = 3 unit
Q does the work for 5 days = 5 × 3 = 15 work done
Remaining work = 30 - 15 = 15 unit
P does the work = (Remaining work) / efficiency
P does the work in = 15/2 days.
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
30%
70%
100%
250%
Correct answer
70%
Why this answer is correct
Given
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant.
Concept used
Profit and loss
Calculation
Let the CP be Rs.100
Profit = 320% of 100
Profit = Rs.320
SP = Rs.(320 + 100)
SP = Rs.420
Cost price increases by 25%
Cost price = Rs.125
Selling price = Rs.420
Profit = Rs.(420 - 125)
Profit = Rs.295
Required percentage = \(\frac{{295}}{{420}} \times 100\)
∴ 70% aprrox
A child has three different kinds of chocolates costing Rs. 2, Rs. 5, Rs. 10. He spends total Rs. 120 on the chocolates. What is the minimum possible number of chocolates he can buy, if there must be atleast one chocolate of each kind?
22
19
17
15
Correct answer
17
Why this answer is correct
Given
A child has three different kinds of chocolates costing Rs. 2, Rs. 5, Rs. 10. He spends total Rs. 120 on the chocolates.
Concept used
Ratio and proportion
Calculation
Minimum number of chocolates are possible when he purchases maximum number of costliest chocolates.
He spents Rs.120 on the chocolates.
Rs.100 must be spent on 10 chocolates = 10 × 10
⇒ 2 × 5 + 5 × 2 = Rs.20
Minimum number of chocolates = 2 + 5 + 10 = 17
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series
55, 60, 58, 63, 61, 66, 64, ___.
69
68
67
66
Correct answer
69
Why this answer is correct
Given
given series 55, 60, 58, 63, 61, 66, 64 ___.
Concept
Series
Calculation
The numbers at first, third, fifth have a common difference of 3
Similarly the numbers at second, fourth, sixth also has a difference of 3
⇒ 60 + 3 = 63
⇒ 63 + 3 = 66
⇒ 66 + 3 = 69
∴ Ans = 69
Arrange the following words in a logical and meaningful order.
1,2,3,4,5
3,2,1,4,5
4,3,5,2,1
2,1,3,5,4
Correct answer
1,2,3,4,5
Why this answer is correct
The logic follows here is :
First of all, Night occurs.
Then, Darkness comes.
After that, Lamp is switched on.
Then, it gives Light.
At last, we get Vision.
Thus, the final sequence will be :
Night → Darkness → Lamp → Light → Vision.
Hence, the correct answer is "1,2,3,4,5".
The average of 4 terms is 20 and the 1st term is 1/3 of the remaining terms. What will be the first number.
30
20
60
80
Correct answer
20
Why this answer is correct
Given
The average of 4 terms is 20 and the 1st term is 1/3 of the remaining terms.
Concept used
Average
Calculation
Let the four numbers be a, b, c, d
Average of 4 terms is 20
⇒ \(\frac{{a\ +\ b\ +\ c\ +\ d}}{4} = 20\)
⇒ a + b + c + d = 80
1st term is 1/3 of the remaining terms
⇒ a = 1/3 (b + c + d)
⇒ a = 1 and b + c + d = 3 units
⇒ 4 units = 80
⇒ 1 unit = 20
∴ a = 20
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:
100 Kmph
110 Kmph
120 Kmph
130 Kmph
Correct answer
120 Kmph
Why this answer is correct
Given
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B, 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations.
Concept used
Time and Distance
Calculation
Let the speed of the car be x km/hr
Speed of train becomes
⇒ \(x + \frac{x}{2} = \frac{{3x}}{2}km/hr\)
Time taken by car = 75/x
Time taken by Train = \(\frac{{75}}{{\frac{{3x}}{2}}} = \frac{{50}}{x}\)
As per the question,
⇒ \(\frac{{75}}{x} - \frac{{50}}{x} = \frac{{125}}{{600}}\)
⇒ \(\frac{{25}}{x} = \frac{{125}}{{600}}\)
⇒ x = 120 km/hr
Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?
Rs. 6400
Rs. 6500
Rs. 7200
Rs. 7500
Correct answer
Rs. 6400
Why this answer is correct
Given
Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508
Concept used
Simple interest
Calculation
Let the investment in scheme A be Rs.x
Investment in scheme B be Rs.(13900 - x)
Si = (P × R × T) / 100
Si for Rs.x for 2 years at 14% p.a = \(\frac{{28x}}{{100}}\)
Si for Rs.(13900 - x) for 2 years at 11% p.a = \(\frac{{(13900 - x) \times\ 2\ \times\ 11}}{{100}}\)
As per the question,
⇒ \(\frac{{28x}}{{100}} + \frac{{(13900 - x) \times\ 2\ \times\ 11}}{{100}} = Rs.3508\)
⇒ 28x - 22x = 45000
⇒ 6x = 45000
⇒ x = 7500
Investment in scheme B = 13900 - 7500
∴ Rs.6400
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
5.75
6.25
6.75
7.25
Correct answer
6.25
Why this answer is correct
Given
In the first 10 overs of a cricket game, the run rate was only 3.2.
Concept used
Average
Calculation
For first 10 overs run rate was 3.2
Runs scored = 3.2 × 10 = 32
Total runs to be scored = 282
Remaining runs = 282 - 32
Remaining runs = 250
Runs to be scored in 40 overs = 250/40
Required run rate in remaining overs = 6.25
Pooja is twice as efficient as Aarti and takes 90 days less than Aarti to complete the job. Find the time in which they can finish the job together?
30 days
45 days
60 days
90 days
Correct answer
60 days
Why this answer is correct
Given
Pooja is twice as efficient as Aarti and takes 90 days less than Aarti to complete the job.
Concept used
Time and work
Calculation
Total work = Number of days × Efficiency
Efficiency of Pooja and Aarti = 2 : 1
Pooja takes 90 days less than Aarti
⇒ 2(90 - x) = 1x
⇒ 180 - 2x = x
⇒ x = 60
Total work = 60 × (2 + 1) = 180 units
Together they can do the work in
⇒ 180 / 3 = 60 Days.
Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?
16 years
18 years
20 years
can't determine
Correct answer
16 years
Why this answer is correct
Given
Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10.
Concept used
Ratio and proportion
Calculation
Let the age of Kunal and Sagar 6 years ago be 6x and 5x
Their present age will be (6x + 6) and (5x + 6)
According to the question
Age of Kunal 4 year hence (6x + 10)
Age of Sagar 4 year hence (5x + 10)
Now, According to the question
⇒ \(\frac{{6x\ +\ 10}}{{5x\ +\ 10}} = \frac{{11}}{{10}}\)
⇒ 5x = 10
⇒ x = 2
Sagar's present age
⇒ 5 × 2 + 6
∴ 16 years.
Three of the following four are same in a certain way and hence form a group. Find out the one which does not belong to that group?
Ego
Anger
Miser
Brave
Correct answer
Miser
Why this answer is correct
Given:
Some words
Calculation:
⇒ The "Miser" is different from another because means "A person who hoards wealth and spends as little money as possible" and the remaining word represents the states of mind.
∴ The required result will be " Miser".
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:
1 hr
2 hr
3 hr
4 hr
Correct answer
1 hr
Why this answer is correct
Given:
Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes
Concept:
Speed = Distance/Time
Calculation:
Let be the original speed of aircraft be x km/h
⇒ Due to bad weather new speed = (x - 200) km/h
⇒ The time is taken by flight at original speed = 600/x
⇒ Time is taken by flight at new speed = 600/(x - 200)
⇒ Now the total time difference = 30 minutes = 1/2 hours
⇒ 600/(x - 200) - 600/x = 1/2
⇒ By solving the equation
⇒ x = 600, -400
⇒ The time is taken by aircraft at original speed = 600/600 = 1 hours
∴ The required result will be 1 hour.
A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:
3.6 kg
3.696 kg
36 kg
36.9 kg
Correct answer
3.696 kg
Why this answer is correct
Given:
The hollow iron pipe is 21 cm long
Concept:
The volume of cylinder = π × R2 × H
Calculation:
⇒ The external radius = 4 cm
⇒ The internal radius = 3 cm
⇒ Volume of iron = (22/7) × (42 - 32) × 21 = 462 cm3
⇒ Weight of iron = 462 × 8 = 3696 gram = 3.696 kg
∴ The required result will be 3.696 kg.
How many bricks, each measuring 25 cm × 11.25 cm × 6 cm, will be needed to build a wall of 80 m × 60 m × 22.5 cm?
560000
600000
640000
720000
Correct answer
640000
Why this answer is correct
Given:
Brick dimensions: 25 cm × 11.25 cm × 6 cm
Wall dimensions: 80 m × 60 m × 22.5 cm
Concept:
The volume of the cuboid = Length × Breadth × Height
Convert wall dimensions to cm: 8000 cm × 6000 cm × 22.5 cm
Calculation:
⇒ Volume of one brick = 25 cm × 11.25 cm × 6 cm = 1687.5 cm³
⇒ Volume of the wall = 8000 cm × 6000 cm × 22.5 cm = 1080000000 cm³
⇒ Number of bricks ⇒ 1080000000 cm³ / 1687.5 cm³ = 640000
∴ 640000 bricks are needed.
A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
13
59
35
37
Correct answer
37
Why this answer is correct
Given:
A number when divided by a divisor leaves a remainder of 24
Calculation:
Let be assume the number is X and the deviser is Y and the 2quotient is Z
⇒ X/Y = P + 24 ....
(1) ⇒ 2X/Y = Q + 11 .... (2) ⇒ By solving both the equation
⇒ Y = 37/(Q - 2P)
⇒ 37 is a prime number and Y is an integer
⇒ Y = 37 or 1
∴ The required result will be 37.
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
Rs. 375
Rs. 400
Rs. 600
Rs.800
Correct answer
Rs. 400
Why this answer is correct
Given:
A alone can do a piece of work in 6 days and B alone in 8 days
Calculation:
⇒ One day work of A and B together = (1/6 + 1/8) = 14/48 = 7/24
⇒ C can complete the work = 7/24 + 1/C = 1/3
⇒ C can complete the work = 24 days
⇒ The ratio of efficiency of A, B, and C = 4 : 3 : 1
⇒ Amount to be paid for C = (3200/8) × 1 = 400
∴ The required result will be 400.
Simplify the expression: 18 ÷ [6 × {4 - (8 - 6 + 3)}]
-3
5
-1
1
Correct answer
-3
Why this answer is correct
Given:
The expression is 18 ÷ [6 × {4 - (8 - 6 + 3)}]
Concept Used:
Follow the BODMAS rule according to the table given below:
Calculation:
⇒ 18 ÷ [6 × {4 - (8 - 6 + 3)}]
⇒ 18 ÷ [6 × {4 - 5}]
⇒ 18 ÷ (6 × -1)
⇒ 18 ÷ (-6) = -3
∴ The required result is -3.
A Sentry post wall is required to be made using ammunition boxes which measure 40 cm × 20 cm × 10 cm. Minimum how many such boxes will be required for making a wall with a total length of 6 m and height of 1 m?
75
150
300
60
Correct answer
75
Why this answer is correct
Concept:
Area of rectangle = length × height
Calculation:
Given: Ammunition boxes dimension = 40 cm × 20 cm × 10 cm and Wall dimension = 6 m length and 1 m height
For minimum number of boxes, we take larger side on the wall
so area of large side of box = 40 cm × 20 cm = 800 cm2
Area of wall = 6 m × 1 m = 6 m2
Number of boxes = area of wall/area of large side of boxes
⇒ (600 × 100)/(800) (∵1 m = 100 cm)
⇒ 75
Govt has decided to connect Tripura and Delhi via a train service which is called 'Tripura Sundari Express' Two trains are running from Tripura and Delhi towards each other. Train from Tripura in covering a distance of 60 km takes 2 hours more than that of the train from Delhi. If Tripura doubles its speed, then it would take 1 hour less than that of Delhi. Tripura train's speed is?
5
10
7
8
Correct answer
10
Why this answer is correct
Concept:
Speed = Distance/Time
Calculation:
Let be assume the speed of the Tripura train is X and the speed of the Delhi train is Y
⇒ 60 × (1/X - 1/Y) = 2 .....
(1) ⇒ When train Tripura double it's speed
⇒ 60 × (1/Y - 1/2X) = 1 ..... (2) ⇒ By solving equation (1) and (2)
⇒ X/Y = 2/3
⇒ From equation (1)
⇒ X = 10 km/h
∴ The required result will be 10 km/h.
P is thrice as good workman as Q and is therefore able to finish the work in 60 days less than Q. Q can finish the work in?
220 days
25 days
90 days
33 days
Correct answer
90 days
Why this answer is correct
Given:
P is thrice as good a workman as Q
Calculation:
⇒ The efficiency of P and Q is 3x and x respectively and the time is taken to complete the work P and Q is x and 3x respectively.
⇒ 3x - x = 60
⇒ x = 30
⇒ The Q can finish the work = 3x = 3 × 30 = 90 days
∴ The required result will be 90 days.
(Net few questions are about data analysis. Statistical data of 500 persons was obtained from the Department of Food Civil Supplies and Consumer Affairs. Their choices were taken on their liking of Italian, Thai and Indian Food. Answer the questions based on the data given)
Persons liked all three food - 62
Persons liked only Italian - 75
Persons liked only Thai - 20
Persons liked only Indian - 162
Persons not liked Italian but liked other two - 216
Persons not liked Thai but liked other two - 333
Persons not liked Indian but liked other two - 141
Persons did not like any of the three - 05
How many persons like at least any one food?
500
495
257
Can't say
Correct answer
495
Why this answer is correct
Calculation:
⇒ a + b + c + d + e + f + g = 500 - 5
⇒ a + b + c + d + e + f + g = 495
⇒ The person like atleast one food = 500 - 5 = 495
∴ The required result will be 495.
How many persons disliked only two types of food?
176
238
257
690
Correct answer
257
Why this answer is correct
Calculation:
⇒ a + b + c + d + e + f + g = 500 - 5
⇒ a + b + c + d + e + f + g = 495
⇒ How many person dislike only two type of food = a + c + e = 75 + 20 + 162 = 257
∴ The required result will be 257.
How many persons like Indian food and one more type of food?
354
292
130
Can't say
Correct answer
130
Why this answer is correct
Calculation:
⇒ a + b + c + d + e + f + g = 500 - 5
⇒ a + b + c + d + e + f + g = 495
⇒ The indian food and one more type of food = f + d = 96 + 34 = 130
∴ The required result will be 130.
How many persons disliked only any one type of food?
176
238
257
690
Correct answer
176
Why this answer is correct
Calculation:
⇒ a + b + c + d + e + f + g = 500 - 5
⇒ a + b + c + d + e + f + g = 495
⇒ Only dislike any one of type of food = b + d + f
⇒ 46 + 34 + 96 = 176
∴ The required result will be 176.
How many persons did not like Italian?
216
221
75
80
Correct answer
216
Why this answer is correct
Calculation:
⇒ a + b + c + d + e + f + g = 500 - 5
⇒ a + b + c + d + e + f + g = 495
⇒ Not liked italian = c + d + e = 20 + 34 + 162 = 216
∴ The required result will be 216.
I have a brother who was one forth my age 10 years ago. As on date the sum of our ages is half a century. What is the present age of my brother?
34
32
16
14
Correct answer
16
Why this answer is correct
Calculation:
Let be assume the age of present age of the brother is X
⇒ My present age = 4X - 40 + 10 = 4X - 30
⇒ The sum of their age = X + 4X - 30 = 50
⇒ X = 16
∴ The required result will be 16.
A boat takes 8h to row 48 km downstream and 12h to row the same distance upstream. Find the boat's rate and the rate of the current.
5 & 1 km/h
4 & 3 km/h
4 & 2 km/h
2 & 3 km/h
Correct answer
5 & 1 km/h
Why this answer is correct
Given:
A boat takes 8h to row 48 km downstream and 12h to row the same distance upstream
Calculation:
⇒ The speed of downstream of the boat = 48/8 = 6 km/h
⇒ The speed of upstream of the boat = 48/12 = 4 km/h
⇒ The speed of the boat = (6 + 4)/2 = 5 km/h
⇒ The speed of current = (6 - 4)/2 = 1 km/h
∴ The required result will be "5 & 1" km/h.
A shopkeeper sells two tables at Rupees 1500 each. He earned a profit of 20% on one table however suffered a loss of 20% on the other. Net profit or loss on this deal is:
4 % profit
4 % loss
No profit no loss
10% loss
Correct answer
4 % loss
Why this answer is correct
Given:
A shopkeeper sells two tables at Rupees 1500 each
Calculation:
Let be assume the cost of tables X and Y respectively
⇒ X × 1.2 = 1500, X = 1250
⇒ Y × 0.8 = 1500, Y = 1875
⇒ The required (loss/profit)% = (1500 + 1500)/(1250 + 1875) × 100 = 96%
⇒ The loss % = 100 - 96 = 4%
∴ The required result will be 4%.
The ratio between the monthly income of husband and wife working in the IT sector is 9:8 and the ratio of their individual expenditure is 8 : 7. If they save Rupees 9000 at the end of the month, then the wife's monthly salary is:
81000
72000
63000
56000
Correct answer
72000
Why this answer is correct
Given:
The ratio between the monthly income of husband and wife working in the IT sector is 9:8 and the ratio of their individual expenditure is 8 : 7
Calculation:
Let be assume the monthly salary of husband and wife is 9x and 8x respectively and expenditure 8y and 7y respectively
⇒ 9x - 8y = 9000 ....
(1) ⇒ 8x - 7y = 9000 .... (2) ⇒ x = 9000
⇒ Salary of wife's = 8x = 8 × 9000 = 72000
∴ The required result will be 72000.
While preparing a medicine the ayurvedic doctor mixed three medicines. 240 grams of first, 380 grams of second and 500 grams of third. Of the cost of first two medicines was Rs 40/kg & Rs 70/kg and the mixture was sold at Rs 50/kg, then price of the third medicine is
Rs 49.6/kg
Rs 39.8/kg
Rs 39.6/kg
Rs 49.8/kg
Correct answer
Rs 39.6/kg
Why this answer is correct
Given:
The price of the first two medicines is 40 rupees/kg 70 rupees/kg
Calculation:
Let be assume cost price of the third mixture is X
⇒ (0.24 × 40 + 0.38 × 70 + 0.5 × X)/(0.24 + 0.38 + 0.5) = 50
⇒ X = 39.6 kg
∴ The required result will be 39.6 rupees/kg.
A battery had enough charge to light 10 bulbs for a certain period of time. After 10 minutes of usage, 2 bulbs were disconnected from the battery, All the balance bulbs remained powered up just as long as before. How long was that?
30 minutes
10 minutes
60 minutes
40 minutes
Correct answer
10 minutes
Why this answer is correct
Given:
A battery had enough charge to light 10 bulbs for a certain period of time
Calculation:
Let be assume 10 bulbs will light to X minutes
⇒ 10X = 10 × 10 + 8(X - 10)
⇒ 10X = 100 + 8x - 80
⇒ 2X = 20
⇒ X = 10 minutes
∴ The required result will be 10 minutes.
In IPL 2021 there will be 9 teams. If like the IPL 2020, all teams play with all other teams twice, then what will be the number of league matches in all?
56
62
68
72
Correct answer
72
Why this answer is correct
Given:
The total team is nine
Calculation:
Let be assume teams is a, b, c, d, e, f, g, h, and i
⇒ For team a = 2 × {(a, b) (a, c), (a, d) (a, e) (a, f) (a, g) (a, h) (a, i)} = 2 × 8 = 16
⇒ For team b = 16 - 2 = 14
⇒ For team c = 16 - 4 = 12
⇒ For team d = 16 - 6 = 10
⇒ For team e = 16 - 8 = 8
⇒ For team f = 16 - 10 = 6
⇒ For team g = 16 - 12 = 4
⇒ For team h = 16 - 14 = 2
⇒ For team i = 16 - 16 = 0
⇒ The total match = 16 + 14 + 12 + 10 + 8 + 6 + 4 + 2 + 0 = 72
∴ The required result will be 72.
Shortcut Method
⇒ n = 9
⇒ The total leag match = n × (n - 1) = 9 × 8 = 72.
A beggar went to a bank to deposit his savings of Rupees 175. All his savings were in the form of one, two and five rupees coins. If the two rupee coins were double the one rupee coins and triple the five rupee coins, then what is the number of five rupee coins?
42
14
21
20
Correct answer
14
Why this answer is correct
Given:
The savings of the beggar is 175
Calculation:
Let be assume one, two and five rupees of the coin is a, b, and c respectively.
⇒ b = 2a and b = 3c
⇒ The ratio of 1 rupee coin 2 rupees coin and 5 rupees coin = 3 : 6 : 2
⇒ Let the one rupees coin is 3X and two rupees coin is 6X and 5 rupees coin is 2X
⇒ 3X + 2 × (6X) + 5 × (2X) = 175
⇒ 25X = 175
⇒ X = 7
⇒ The number of five rupees coin = 7 × 2 = 14
∴ The required result will be 14.
An amount is distributed among Suman, Aman and Gagan in the ratio of 3 : 7 : 11. If 24% of the share of Suman is Rupees 1080, then the difference between the shares of Aman and Gagan is?
5000
2500
6000
4500
Correct answer
6000
Why this answer is correct
Given:
An amount is distributed among Suman, Aman and Gagan in the ratio of 3 : 7 : 11
Calculation:
Let be assume Suman, Aman, and Gagan has amount is 3X, 7X, and 11X respectively.
⇒ 3X × (24/100) = 1080
⇒ X = 1500
⇒ The difference of share of man and gagan = 11X - 7X = 4X = 4 × 1500 = 6000
∴ The required result will be 6000.
In a Mall, one shop was selling the garments at flat 40% off and another at two successive discounts of 36% and 4%. If item 500 MRP bought from each of the shops then the difference between the discount amount will be?
No difference
Rupees 2
Rupees 1.93
Rupees 7.20
Correct answer
Rupees 7.20
Why this answer is correct
Given:
The marked price of the item from both the shop is 500
Calculation:
⇒ The discount at mall = 500 × (2/5) = 200
⇒ The discount at shop = 500 × (36 + 4 + (36 × 4)/100} = 207.2
⇒ The required difference = 207.2 - 200 = 7.20
∴ The required result will be 7.20.
In this examination of GMAT, consider that you score 2 marks for every correct answer and lose 0.5 marks for every wrong answer. If you have attempted all questions and scored 180 marks, the number of questions you got correct is?
100
102
104
120
Correct answer
102
Why this answer is correct
Given:
For every right answer, 2 marks will be award and for every wrong answer 0.5 marks deducted
Calculation:
Let be assume x questions is right and y question is wrong
⇒ The total number of question = 150
⇒ 2x - 0.5y = 180 ....
(1) ⇒ x + y = 150 ...... (2) ⇒ By solving both the equation (1) and (2)
⇒ x = 102, y = 48
∴ The required result will be 102.
By selling an item for Rupees 720, a man loses 10%. At what price should he sell it to earn a profit of 5%?
840
890
1000
995
Correct answer
840
Why this answer is correct
Calculation:
Let be assume cost price of item is X
⇒ X × 0.9 = 720
⇒ X = 800
⇒ New selling price = 800 × (105/100) = 840
∴ The required result will be 840.
The least number which when subtracted from 1850 makes it a perfect square, is?
5
7
1
11
Correct answer
1
Why this answer is correct
Given:
A number is 1850
Calculation:
⇒ When we substract 1 from 1850 = 1850 - 1 = 1849
⇒ √1849 = 43
∴ The required result will be 1.
A train 110 m long is running at the speed of 72 km/h. How much time it take to cross 132 m long platform?
9.8 sec
12.1 sec
12.42 sec
14.3 sec
Correct answer
12.1 sec
Why this answer is correct
Given:
The speed of the train is 72 km/h
Calculation:
⇒ (110 + 132)/{72 × (5/18)} = 12.1 seconds
∴ The required result will be 12.1 seconds.
A newly opened bank offered interest rate of 15%. Anmol had an account in SBI which provided him an interest rate of 5%. If Anmol opens his account in the new bank and makes an investment of Rupees 50000 for 6 years, how much additional profit will he makes as compared to SBI account?
Rs. 45000
Rs. 30000
Rs. 15000
No difference
Correct answer
Rs. 30000
Why this answer is correct
Given:
New bank offer 15% of interest rate and SBI offer a 5% interest
Concept:
Interest = (Principle × Time × Rate)/100
Calculation:
⇒ The required difference = 50000 × 6 × (15 - 5) × (1/100) = 30000
∴ The required result will be 30000.
150 questions in the full paper