Aptitude and Reasoning Questions

Q:

Ankita borrows Rs. 7000 at simple Interest from a lender. Atthe end of 3 years, she again borrows Rs. 3000 and settledthat amount after paying Rs. 4615 as interest after 8 years from the time she made the first borrowing. What is the rate of interest?

A) 5.5% B) 9.5%
C) 7.5% D) 6.5%
 
Answer & Explanation Answer: D) 6.5%

Explanation:

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Filed Under: Simple Interest

2 2696
Q:

Absolute value of 9?

A) 0 B) 9
C) 8 D) -9
 
Answer & Explanation Answer: B) 9

Explanation:

Absolute value of a number :

It means that the distance of a number from 0 on a number line. 

 

Here absolute value of 9 is that on a number line 9 is 9 units away from 0. Hence its absolute value is 9. Similarly, absolute value of -9 means -9 is also 9 units away from the 0 on number line. Hence, absolute value of -9 is also 9.

 

Hence, the absolute value of 9 is 9.

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Filed Under: Arithmetical Reasoning
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3 2692
Q:

If 5x - 17 = -x + 7, then x = ?

A) 4 B) 5
C) 7 D) 9
 
Answer & Explanation Answer: A) 4

Explanation:

Given equation  5x-17 = -x+7

Add 1x to each side of the equation

5x-17+x = -x+7+x

6x=24

x=4

 

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Filed Under: Logarithms
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17 2691
Q:

The average age of Ram and Rahim is 18 years. The average age of Rahim and Ramesh is 25 years. The average age of Ram and Ramesh is 29 years. What is the age (in years) of the eldest of the three?

A) 14 B) 22
C) 28 D) 36
 
Answer & Explanation Answer: D) 36

Explanation:
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Filed Under: Problems on Ages
Exam Prep: Bank Exams

2 2690
Q:

What is the sum of all 3 digits number that can be formed using digits 0,1,2,3,4,5 with no repitition ?

A) 28450 B) 26340
C) 32640 D) 36450
 
Answer & Explanation Answer: C) 32640

Explanation:

We know that zero can't be in hundreds place. But let's assume that our number could start with zero.

 

The formula to find sum of all numbers in a permutation is

 

111 x no of ways numbers can be formed for a number at given position x sum of all given digits

 

No of 1 s depends on number of digits

 

So,the answer us

 

111 x 20 x (0+1+2+3+4+5) = 33300

 

We got 20 as follows. If we have 0 in units place we can form a number in 4*5 ways. This is for all numbers. So we have substituted 20 in formula.

 

Now, this is not the final answer because we have included 0 in hundreds place. so we have to remove the sum of all numbers that starts with 0.

 

This is nothing but the sum of all 2 digits numbers formed by 1 2 3 4 5. Because 0 at first place makes it a 2 digit number.

 

So the sum for this is 11 x 4 x (1+2+3+4+5).
=660

 

Hope u understood why we use 4. Each number can be formed in 4x1 ways

 

So, the final answer is 33300-660 = 32640

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Filed Under: Permutations and Combinations
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2 2690
Q:

If a + b + c = 7/12, 3a – 4b + 5c = 3/4 and 7a – 11b – 13c = – 7/12, then what is the value of a + c?

A) 1/2 B) 5/12
C) 3/4 D) 1/4
 
Answer & Explanation Answer: B) 5/12

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

2 2686
Q:

In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by ?

A) 25 m B) 21 m
C) 22 m D) 19 m
 
Answer & Explanation Answer: A) 25 m

Explanation:

A:B = 200 : 169
A:C = 200 : 182
 CB = CA×AB 

 

182200×200169

 

=> 182:169

 

When C covers 182 m , B Covers 169 m
When C covers 350 m , B Covers 169182×350
=> 325 m

 

 

 

So C beats B by (350 - 325) = 25 m.

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Filed Under: Time and Distance
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6 2686
Q:

Statement: It is estimated that about twenty lakh people will visit the city during the ensuing festival.
Courses of action:
a. The civic authority should monitor the crowd and restrict entry of the people beyond a manageable number.
b. The local police authority should be put on high alert to maintain law and order during the festival.
c. All the hospitals in the city should be put on high alert in case of any eventuality.

A) Only a follows B) Both b & c follows
C) Only c follows D) Both a and b sufficient
 
Answer & Explanation Answer: B) Both b & c follows

Explanation:

Clearly, People cannot be deprived of enjoying the festival for lack of arrangements. Also, it becomes necessary to deploy police to regulate big crowds and avert any mishap in public gatherings. Further, it costs nothing but might prove useful to put hospitals on alert to be ready to provide quick medical aid to patients in case of any eventuality. So, both b and c follow.

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Filed Under: Statement and Courses of Action
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2 2684