Aptitude and Reasoning Questions

Q:

If a+b+c = 6 and ab+bc+ca = 1, then the value of bc(b+c) + ca(c+a) +ab(a+b) +3abc is

A) 33 B) 66
C) 55 D) 23
 
Answer & Explanation Answer: B) 66

Explanation:
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Q:

A natural number when increased by 12 equals 160 times its reciprocal. Find the number?

A) 20 B) 12
C) 8 D) 4
 
Answer & Explanation Answer: C) 8

Explanation:

Let the required number be 'p'.

From the given data,

p + 12 = 160 x 1/p

=> p + 12 = 160/p

=> p(p + 12) = 160

=> P^2 + 12p - 160 = 0

=> p^2 + 20p - 8p - 160 = 0

=> P(p + 20) - 8(p + 20) = 0

=> (p + 20)(p - 8) = 0

=> p = -20 or p = 8

As, given the number is a natural number, so it can't be negative.

Hence, the required number p = 8.

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

4 3241
Q:

The Civic administration has asked the residets of the dilapidated buildings to move out as these buildings will be demolished within the next thirty days

Assumptions : 

I. The Civic administration may be able to demolish these buildings as per schedule.

II. The residents of these buildings may vacate and stay elsewhere

A) If only assumption I is Implicit B) If only assumption II is Implicit
C) If either I or II is Implicit D) If both I and II are Implicit
 
Answer & Explanation Answer: D) If both I and II are Implicit

Explanation:

I is implicit in the deadline given. II is implicit in the notice given to the residents to move out.

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2 3234
Q:

Tushar takes 6 hours to complete a piece of work, while Amar completes the same work in 10 hours. If both of them work together, then what is the time required to complete the work?

 

A)  3 hours B) 3 hours 15 minutes
C) 3 hours 30 minutes D) 3 hours 45 minutes
 
Answer & Explanation Answer: D) 3 hours 45 minutes

Explanation:

Let them take x hours working together

1/x = 1/10 + 1/6 = 8/30

X= 30/8 hours = 15/4 hours = 3 hours 45 minutes

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Filed Under: Time and Work
Exam Prep: Bank Exams

1 3231
Q:

An amount of 5,000 is invested at a fixed rate of 8 per cent per annum. What amount will be the value of the investment in five years time, if the interest is compounded annually

A) 7346.64 B) 8346
C) 3456 D) 4567
 
Answer & Explanation Answer: A) 7346.64

Explanation:

The only part of this type of calculation that needs particular
care is that concerning the interest rate. The formula assumes that
r is a proportion, and so, in this case:
r = 0.08
In addition, we have P = 5,000 and n = 5, so:
V = P(1 + r)5 = 5,000 x (1 + 0.08)5 = 5,000 x 1.469328 = 7,346.64
Thus the value of the investment will be 7,346.64

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

0 3230
Q:

In the following question, select the missing number from the given series.
19, 11, 13, 16, 15, 17, 13, 19, 21, ?

A) 10 B) 11
C) 12 D) 15
 
Answer & Explanation Answer: A) 10

Explanation:
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Filed Under: Number Series
Exam Prep: Bank Exams

8 3228
Q:

When a number is divided by 138 the remainder is 26. What will be the remainder if the same number is divided by 23 ?

A) 4 B) 6
C) 3 D) 1
 
Answer & Explanation Answer: C) 3

Explanation:

Number = quotient x divisor + remainder;
so, here
number = 138 k + 26
=> (23 x 6k) + (23+3)
=> 23(6k+1)+3
so, remainder is 3.

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

4 3227
Q:

If 133 = 20, 127 = 10 and 125 = 14 then find the value of 162?

A) 14 B) 4
C) 28 D) 8
 
Answer & Explanation Answer: C) 28

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams
Job Role: Bank PO , Bank Clerk

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