Aptitude and Reasoning Questions

Q:

If 78K928L is divisible by 6, then which of the following can Q and R take ?

A) K=2 & L=3 B) K=1 & L=4
C) K=1 & L=2 D) K=3 & L=3
 
Answer & Explanation Answer: B) K=1 & L=4

Explanation:

As per divisibility rule a number is divisible by 6 means it should be divisible by 2 and 3

case 1 : the divisibility rule for 2 is the number should be end with even number
in this case R =2 & R=4


case 2 : The divisibility rule for 3 is the sum of numbers should be divisible by 3
so if we take option (2) Q=1 & R=4 the sum is 39
if we take option (3) Q=1 & R=2 the sum is 37

So Option (2) is correct 39 is divided by 3

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Filed Under: Problems on Numbers
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Q:

What is the probability that a number is divisible by 4?

A) 2 B) 1/2
C) 1/4 D) 1
 
Answer & Explanation Answer: B) 1/2

Explanation:

Probability is Number of favourable outcomes by total outcomes

Total comes = 2 (Divisible or not)

Favourable = 1 (Divisible)

 

Hence, probability = 1/2.

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Filed Under: Probability
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35 4221
Q:

A milkman has 20 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk. If the cost of pure milk is Rs. 18 per litre, then the profit of the milkman, when he sells all the mixture at cost price, the profit % ?

A) 22.5% B) 25%
C) 20% D) 33.33%
 
Answer & Explanation Answer: B) 25%

Explanation:

As water costs free, water sold at cost price of milk gives the profit.

Required profit % = 5/20 x 100 = 5 x 5 = 25%.

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT
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19 4219
Q:

If you write down all the numbers from 1 to 100, then how many times do you write 4 ?

A) 11 B) 20
C) 17 D) 14
 
Answer & Explanation Answer: B) 20

Explanation:

4, 14, 24, 34, 44, 54, 64, 74, 84, 94 => has 11 number of (4's)
40, 41, 42, 43, 45, 46, 47, 48, 49 => has 9 number of (4's)
So, totally (11 + 9 = 20) number of 4's in 1 to 100.

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Filed Under: Numbers
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2 4212
Q:

Dot cabs company provides cabs for software employees. The company has 8 Swift dzires, 6 Scorpios, 7 Innovas and few small cars. If Swift dzire makes one fourth of the total fleet, how many small cars are there in the company ?

A) 9 B) 10
C) 11 D) 12
 
Answer & Explanation Answer: C) 11

Explanation:

Given the company has 8 SD + 6 SRP + 7 IN = 21 cars + 'x' small cars.
Given SD makes 1/4 th of the total fleet.
=> 8 = 1/4 (21 + x)
=> 32 = 21 + x
=> x = 11
Therefore, the company has 11 small cars.

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Filed Under: Percentage
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3 4212
Q:

What is the number of decimal places in a cube root of a number having 27 decimal places ?

A) 3 B) 6
C) 9 D) 27
 
Answer & Explanation Answer: C) 9

Explanation:
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Filed Under: Square Roots and Cube Roots
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Q:

29 is 0.8% of?

A) 3625 B) 1450
C) 7250 D) 10875
 
Answer & Explanation Answer: A) 3625

Explanation:
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Filed Under: Percentage
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Q:

Consider the given argument and decide which of the given assumptions is (are) implicit.

 


Argument :

 

An army general said 'Shoot Now' to the soldier.

 

Assumptions :

 

1. The soldier knows where and what to shoot.

2. The army general doesn't know to shoot.

 

A) Only assumption 2 is implicit B) Both 1 and 2 are implicit
C) Neither 1 nor 2 is implicit D) Only assumption 1 is implicit
 
Answer & Explanation Answer: D) Only assumption 1 is implicit

Explanation:
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Filed Under: Statement and Assumptions
Exam Prep: Bank Exams

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