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Browse complete papersFind out the wrong number in the following number series:
56, 58, 62, 70, 84, 118, 182
58
62
84
118
Correct answer
84
Why this answer is correct
The logic is:
Hence, ‘84’ is the correct answer.
Find out the missing number:
2
6
4
16
Correct answer
4
Why this answer is correct
The logic is:
Similarly,
Hence, ‘4’ is the correct answer.
In an examination, 78% of the total students who appeared were successful. If the total number of failures was 176 and 34% got first-class out of total students, then how many students got first class?
272
112
210
254
Correct answer
272
Why this answer is correct
Given:
Students who were successful = 78%
Total number of failures = 176
Students who got first class = 34%
Calculation:
Students who failed = (100 – 78)% = 22%
22% of total students = 176
1% of total students = 176/22 = 8
34% of total students = 8 × 34 = 272
∴ The number of students who got first class are 272.
Which number should come in place of the question mark (?) in the following chart :
| 1 | 7 | 9 |
|---|---|---|
| 2 | 14 | ? |
| 3 | 105 | 117 |
16
26
20
12
Correct answer
12
Why this answer is correct
The logic is:
Column 1: 2 × 1 + 1 = 3
Column 2: 14 × 7 + 7 = 105
Similarly,
Column 3: ? × 9 + 9 = 117
=> ? × 9 = 117 – 9
=> ? × 9 = 108
=> ? = 108 ÷ 9
=> ? = 12
Hence, ‘12’ is the correct answer.
Find the missing number:
21
16
10
8
Correct answer
16
Why this answer is correct
The logic is:
96 ÷ 2 = 48; 48 ÷ 2 = 24
Similarly,
64 ÷ 2 = 32; 32 ÷ 2 = 16
Hence, ‘16’ is the correct answer.
How many minimum numbers of colours will be required to paint all the sides of a cube without the adjacent sides having the same colours?
3
4
5
6
Correct answer
3
Why this answer is correct
As no two adjacent faces can have the same colour, the pair of two opposite faces can have the same colour.
∴ Minimum numbers of colours required = 6 ÷ 2 = 3
Hence, ‘3’ is the correct answer.
If a man walks at the rate of 4 km/hr, he misses a train by only 6 minutes. However, if he walks at the rate of 5 km/hr, he reaches the station 6 minutes before the arrival of the train. The distance covered by him to reach the station is:
4 km
7 km
9 km
5 km
Correct answer
4 km
Why this answer is correct
Given:
Speed of the man when he is 6 minutes late = 4 km/hr
Speed of the man when he is 6 minutes before = 5 km/hr
Concept used:
Distance = Speed × Time
1 min = 1/60 hrs
Calculation:
Let the correct time of train arrival be t and distance to reach the station be d.
⇒ d = 4 × (t + 6)/60 ----(1)
⇒ d = 5 × (t – 6)/60 ----(2)
From equations (1) and (2),
⇒ 4 × (t + 6)/60 = 5 × (t – 6)/60
⇒ 4t + 24 = 5t – 30
⇒ 5t – 4t = 30 + 24
⇒ t = 54 min
Putting the value of t in equation (1),
⇒ d = 4 × (54 + 6)/60
⇒ 4 × 60/60
⇒ 4 km
∴ The distance covered by him to reach the station is 4 km.
If the numerator of a fraction is increased by 25% and denominator decreased by 20%, the new value is 5/4. What is the original value?
3/5
4/5
7/8
3/7
Correct answer
4/5
Why this answer is correct
Given:
Increase in numerator = 25%
Decrease in denominator = 20%
New value = 5/4
Concept used:
x% increase = (100 + x)/100
x% decrease = (100 – x)/100
Calculation:
Let the original fraction be x/y.
Change in numerator = (100 + 25)/100 = 5/4
Change in denominator = (100 – 20)/100 = 4/5
⇒ (x × 5/4)/(y × 4/5) = 5/4
⇒ (5x × 5)/(4y × 4) = 5/4
⇒ 25x/16y = 5/4
⇒ x/y = 4/5
∴ The original value of the fraction is 4/5.
Read the following information carefully and answer the questions given below:
i. Five friends Amar, Kapil, Sarvesh, Rohan and Nagesh put on five shirts of different colours, i.e., Red, Yellow, Blue, White, and Green, while they were going to attend a party. These colours are not in the order.
ii. They have different hobbies as reading, playing, outing, singing and writing.
iii. Kapil, who likes singing, does not wear Yellow shirt. Sarvesh wears Red shirt and he does not like reading or writing. Nagesh likes playing and he does not wear Blue or Yellow shirt. Amar likes writing and Rohan does not wear Yellow or Green shirt.
What is the colour of Kapil's shirt?
White
Green
Blue
Insufficient data to answer
Correct answer
Insufficient data to answer
Why this answer is correct
Five friends: Amar, Kapil, Sarvesh, Rohan and Nagesh
Different colours: Red, Yellow, Blue, White, and Green, while they were going to attend a party. These colours are not in the order.
Different hobbies: reading, playing, outing, singing and writing.
Kapil, who likes singing, does not wear Yellow shirt.
Sarvesh wears Red shirt and he does not like reading or writing.
Nagesh likes playing and he does not wear Blue or Yellow shirt.
Amar likes writing and Rohan does not wear Yellow or Green shirt.
| Friends | Colour | Hobbies |
|---|---|---|
| Amar | Writing | |
| Kapil | Yellow | Singing |
| Sarvesh | Red | Reading, Writing |
| Rohan | Yellow, Green | |
| Nagesh | Blue, Yellow | Playing |
Amar wears Yellow shirt and Rohan likes Reading.
Sarvesh likes outing.
| Friends | Colour | Hobbies |
|---|---|---|
| Amar | Yellow | Writing |
| Kapil | Yellow | Singing |
| Sarvesh | Red | Outing |
| Rohan | Yellow, Green | Reading |
| Nagesh | Blue, Yellow | Playing |
The colour of Kapil’s shirt may be Green or Blue or White.
The colour of Rohan’s shirt may be White or Blue.
The colour of Nagesh’s shirt may be White or Green.
| Friends | Colour | Hobbies |
|---|---|---|
| Amar | Yellow | Writing |
| Kapil | Green/Blue/ White | Singing |
| Sarvesh | Red | Outing |
| Rohan | Blue/ White | Reading |
| Nagesh | Green/White | Playing |
The colour of Kapil's shirt cannot be answered as data is insufficient.
Hence, ‘Insufficient data to answer’ is the correct answer.
Read the following information carefully and answer the questions given below:
i. Five friends Amar, Kapil, Sarvesh, Rohan and Nagesh put on five shirts of different colours, i.e., Red, Yellow, Blue, White, and Green, while they were going to attend a party. These colours are not in the order.
ii. They have different hobbies as reading, playing, outing, singing and writing.
iii. Kapil, who likes singing, does not wear Yellow shirt. Sarvesh wears Red shirt and he does not like reading or writing. Nagesh likes playing and he does not wear Blue or Yellow shirt. Amar likes writing and Rohan does not wear Yellow or Green shirt.
Who likes writing?
Rohan
Amar
Kapil
Insufficient data to answer
Correct answer
Amar
Why this answer is correct
Five friends: Amar, Kapil, Sarvesh, Rohan and Nagesh
Different colours: Red, Yellow, Blue, White, and Green, while they were going to attend a party. These colours are not in the order.
Different hobbies: reading, playing, outing, singing and writing.
Kapil, who likes singing, does not wear Yellow shirt.
Sarvesh wears Red shirt and he does not like reading or writing.
Nagesh likes playing and he does not wear Blue or Yellow shirt.
Amar likes writing and Rohan does not wear Yellow or Green shirt.
| Friends | Colour | Hobbies |
|---|---|---|
| Amar | Writing | |
| Kapil | Yellow | Singing |
| Sarvesh | Red | Reading, Writing |
| Rohan | Yellow, Green | |
| Nagesh | Blue, Yellow | Playing |
Amar wears Yellow shirt and Rohan likes Reading.
Sarvesh likes outing.
| Friends | Colour | Hobbies |
|---|---|---|
| Amar | Yellow | Writing |
| Kapil | Yellow | Singing |
| Sarvesh | Red | Outing |
| Rohan | Yellow, Green | Reading |
| Nagesh | Blue, Yellow | Playing |
The colour of Kapil’s shirt may be Green or Blue or White.
The colour of Rohan’s shirt may be White or Blue.
The colour of Nagesh’s shirt may be White or Green.
| Friends | Colour | Hobbies |
|---|---|---|
| Amar | Yellow | Writing |
| Kapil | Green/Blue/ White | Singing |
| Sarvesh | Red | Outing |
| Rohan | Blue/ White | Reading |
| Nagesh | Green/White | Playing |
So, Amar likes Writing.
Hence, ‘Amar’ is the correct answer.