Find real questions from previous competitive exam papers with answers and solutions.
Select the next serial term in the given number series, from the given options. 3, 10, 29, 66, ...
145
150
132
127
Correct answer
127
Why this answer is correct
The pattern followed is,
13 + 2 = 3
23 + 2 = 10
33 + 2 = 29
43 + 2 = 66
53 + 2 = 127
Hence, “127” is the correct answer.
‘A × B’ means ‘B is daughter of A’, ‘A – B’ means ‘A is sister of B’, ‘A + B’ means ‘B is son of A’, ‘A ÷ B’ means ‘A is brother of B’
If S – P + T ÷ Q × R, then how R is related to P?
Grandmother
Granddaughter
Mother
Aunt
Correct answer
Granddaughter
Why this answer is correct
Members: S, P, T, Q, R
Let us first decode the symbols and then draw a family tree.
| A is | B is | |||
|---|---|---|---|---|
| Symbol | – | ÷ | × | + |
| Meaning | Sister | Brother | Daughter | Son |
| of B | of A |
S – P + T ÷ Q × R → S is sister of P, T is son of P, T is brother of Q, R is daughter of Q
Preparing the family tree using the following symbols:
So, R is granddaughter of P.
Hence, granddaughter is correct answer.
Three different positions of the same dice are shown. Select the option that will be opposite to the face having ‘3’.
1
2
6
4
Correct answer
6
Why this answer is correct
Correct Option – 3
Adjacent elements of 3 = 1, 2, 4, 5
Adjacent elements can never be on the opposite face of a particular face.
The only element left is 6.
So, 6 will be opposite to the face having 3.
Hence,‘6’ is the correct answer.
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
All painters are actors.
No actor is a producer.
All choreographers are painters.
Conclusions:
I. No choreographer is producer.
II. Some actors are choreographers.
III. No painters is a producer.
Only conclusions I and II follow
All the conclusions follow
Only conclusions II and III follow
Only conclusions I and III follow
Correct answer
All the conclusions follow
Why this answer is correct
The least possible diagram:
I. No choreographer is producer. - True (All choreographer is a actor and no actor is a producer then no choreographers is producer is follow.)
II. Some actors are choreographers. True (If All choreographers are actors then some actors are choreographer. So some actors are choreographers is follow.)
III. No painters is a producer. True (All choreographer is a painters and all painters are actors then the relation is same between choreographer and producer, painter and producer and actor and producer. So no painter is a producer is follow.)
Hence, "option 2" is the correct answer.
VIT is related to FQD in the same way as SRM is related to MHG. Following the same pattern, BVP is related to ______.
KEY
ICW
LFZ
JDX
Correct answer
JDX
Why this answer is correct
This question is based on the concept of the positional value of the opposite alphabet.
The logic followed here is-
And
Similarly,
Hence, 'option 4' is the correct answer.
What is the length of the longest rod that can be placed in a room which is 5 metres long, 12 metres broad and 13 metres high?
8√2 metres
13√2 metres
15√2 metres
12√2 metres
Correct answer
13√2 metres
Why this answer is correct
Shortcut Trick
The length of the longest rod in a room is equal to the diagonal of the cuboid.
Diagonal = √(L2 + B2 + H2)
Diagonal = √(52 + 122 + 132) = √(25 + 144 + 169) = √338
Diagonal = √(169 × 2) = 13√2 m
∴ The correct answer is 13√2 metres.
Alternate Method
Given:
Length (L) = 5 m
Breadth (B) = 12 m
Height (H) = 13 m
Formula Used:
Length of longest rod = √(L2 + B2 + H2)
Calculations:
⇒ Square of Length = 52 = 25
⇒ Square of Breadth = 122 = 144
⇒ Square of Height = 132 = 169
⇒ Sum of squares = 25 + 144 + 169
⇒ Sum of squares = 169 + 169 = 338
⇒ Length of rod = √338
⇒ Length of rod = √(169 × 2)
⇒ Length of rod = 13√2 m
∴ The correct answer is 13√2 metres.
Additional Information
Total Surface Area of Cuboid
The total surface area of a room (cuboid) is given by 2(LB + BH + HL).
Volume of Cuboid
The space occupied by the room is calculated as Volume = Length × Breadth × Height.
Diagonal of a Cube
If all sides of the room are equal (a), then the longest rod length = a√3.
Lateral Surface Area
The area of the four walls of a room is given by 2H(L + B).
The price of a chair is 60% of a table. The price of a stool is 15% of the table. The stool costs what percent of the chair?
15%
20%
25%
30%
Correct answer
25%
Why this answer is correct
Shortcut Trick
Assume the price of the Table is 100 units.
Price of Chair = 60% of 100 = 60 units.
Price of Stool = 15% of 100 = 15 units.
Required Percentage = (Stool ÷ Chair) × 100 = (15 ÷ 60) × 100 = 1/4 × 100 = 25%.
∴ The correct answer is 25%.
Alternate Method
Given:
Price of Chair (C) = 60% of Table (T) ⇒ C = 0.60T
Price of Stool (S) = 15% of Table (T) ⇒ S = 0.15T
Formula Used:
Percentage = (Value / Base Value) × 100
Calculations:
⇒ Required % = (Price of Stool / Price of Chair) × 100
⇒ Required % = (0.15T / 0.60T) × 100
⇒ Required % = (15 / 60) × 100
⇒ Required % = (1 / 4) × 100
⇒ Required % = 25%
∴ The correct answer is 25%.
Additional Information
Base Change Rule
When comparing two quantities derived from the same base, the ratio of their percentages is equal to the ratio of their actual values.
Percentage to Fraction Conversion
Common fractions like 1/4 = 25%, 1/5 = 20%, and 3/4 = 75% help in solving comparison questions faster without long division.
If P can finish a job in 3 hours and Q can finish the same job in 6 hours independently, then they together will finish the job in x minutes. Find the value of x .
160
100
150
120
Correct answer
120
Why this answer is correct
Given:
P can finish a job in 3 hours.
Q can finish the same job in 6 hours.
Formula Used:
Work done by P in 1 hour = 1/3
Work done by Q in 1 hour = 1/6
Total work done by P and Q in 1 hour together = Work done by P in 1 hour + Work done by Q in 1 hour
Calculation:
Work done by P in 1 hour = 1/3
Work done by Q in 1 hour = 1/6
Total work done by P and Q in 1 hour together = 1/3 + 1/6
Total work done by P and Q in 1 hour together = 2/6 + 1/6
Total work done by P and Q in 1 hour together = 3/6
Total work done by P and Q in 1 hour together = 1/2
⇒ Time taken by P and Q together to finish the job = 1 / (1/2)
⇒ Time taken by P and Q together to finish the job = 2 hours
⇒ Time in minutes = 2 × 60 = 120 minutes
Therefore, P and Q together will finish the job in 120 minutes.
Shortcut Trick
The population of a village was 12,000 two years ago. If it increased by 2.5% and 3%, respectively, in the last two years, then what is the present population of the village?
12,669
12,607
12,652
12,731
Correct answer
12,669
Why this answer is correct
Given:
The population = 12,000.
It increased by 2.5% and 3%, respectively, in the last two years.
Calculation:
Population after two years will be,
⇒ 12,000 × 102.5/100 × 103/100 = 12669
∴ The correct option is 1
The average of eleven numbers is 60. The average of the first six numbers is 52 and that of the last four number is 54. Then the seventh number is
134
132
152
154
Correct answer
132
Why this answer is correct
Given:
The average of 11 numbers is 60
average of the first 6 numbers is 52
average of the last 4 numbers is 54
Concept used:
Average = Sum of all the observations/Total number of observations
Calculation:
Let the seventh number be n.
⇒ 60 = ((6 × 52) + n + (4 × 54)) ÷ 11
⇒ 60 × 11 = ((6 × 52) + (4 × 54) + n)
⇒ 660 = 312 + 216 + n
⇒ n = 132
∴ The seventh number is 132
7th = average ± (difference of the other numbers)
If difference of other number is +ve then we subtract , if the difference of the other number is -ve then we add
Difference = 6 × (-8) + 4 × (-6)
⇒ - 48 - 24 = - 72
7th = 60 + 72 = 132
∴ The seventh number is 132