Aptitude and Reasoning Questions

Q:

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

 

Argument :

 

A mother is crying in the hospital as her only son died in a road accident while driving his bike.

 

Assumptions :

 

1. The mother thinks it's her son's fault.

2. The mother thinks that God is not with her.

 

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

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

0 4636
Q:

Two parallel chords on the same side of the centre of a circle are 5 cm apart. If the chords are 20 and 28 cm long, what is the radius of the circle? 

A) 14.69 cm B) 15.69 cm
C) 18.65 cm D) 16.42 cm
 
Answer & Explanation Answer: B) 15.69 cm

Explanation:

circle11487663359.jpg image

Draw the two chords as shown in the figure. Let O be the center of the circle. Draw OC
perpendicular to both chords. That divides the two chords in half.
So CD = 10 and AB = 14. Draw radii OA and OD, both equal to radius r.
We are given that BC = 5, the distance between the two chords. Let
OB = x.

We use the Pythagorean theorem on right triangle ABO

AO² = AB² + OB²
r² = 14² + x²

We use the Pythagorean theorem on right triangle DCO

DO² = CD² + OC²

We see that OC = OB+BC = x+5, so

r² = 10² + (x+5)²

So we have a system of two equations:

r² = 14² + x²
r² = 10² + (x+5)²

Since both left sides equal r², set the right sides
equal to each other.

14² + x² = 10² + (x+5)²
196 + x² = 100 + x² + 10x + 25
196 = 125 + 10x
71 = 10x
7.1 = x

r² = 14² + x²
r² = 196 + (7.1)²
r² = 196 + 50.41
r² = 246.41
r = √246.41
r = 15.69745202 cm

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Filed Under: Simplification
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4 4632
Q:

Sharon Stone deposits $2000 at the end of each year in an account earning 10% compounded annually. Determine how much money she has after 25 years. How much interest did she earn?

A) 146694.12 B) 13452
C) 18232 D) 15627
 
Answer & Explanation Answer: A) 146694.12

Explanation:

S=R[(1+i)^n-1]/i

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

0 4630
Q:

How many such pair of letters are there in the word ‘TROUBLED’ which have as many letters between them in the word as they have between them in the English alphabet?

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

Explanation:

Hence there are two pairs

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13 4624
Q:

Prabhas is twice as good a workman as Rana and finishes a piece of work in 3 hours. In how many hours they together could finish that piece of work?

A) 3 hrs B) 3.5 hrs
C) 2.5 hrs D) 2 hrs
 
Answer & Explanation Answer: D) 2 hrs

Explanation:

Given Prabhas is twice as good a workman as Rana.

Prabhas finishes the work in 3 hrs

=> Rana finishes the work in 6 hrs.

Number of hours required together they could finish the work

= 3 x 6 / 3 + 6

= 18/9

= 2 hrs.

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Filed Under: Time and Work
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6 4620
Q:

How many more words can be formed by using the letters of the given word 'CREATIVITY'?

A) 851250 B) 751210
C) 362880 D) 907200
 
Answer & Explanation Answer: D) 907200

Explanation:

The number of letters in the given word CREATIVITY = 10

 

Here T & I letters are repeated

 

=> Number of Words that can be formed from CREATIVITY = 10!/2!x2! = 3628800/4 = 907200

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Filed Under: Permutations and Combinations
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8 4618
Q:

If - means ÷ , + means x , ÷ means - , x means +, then which of the following equations is correct?

A) 43 x 7 ÷ 5 + 4 - 8 = 25 B) 48 ÷ 5 + 8 x 10 - 2 = 03
C) 36 x 4 - 12 + 5 ÷ 3 = 420 D) 42 + 5 ÷ 6 x 8 - 3 = 28
 
Answer & Explanation Answer: B) 48 ÷ 5 + 8 x 10 - 2 = 03

Explanation:
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Filed Under: Coding and Decoding

3 4616
Q:

One word substitute for 'a post without remuneration?'

A) Voluntary B) Honorary
C) Involuntary D) Sinecure
 
Answer & Explanation Answer: B) Honorary

Explanation:

The One-word substitute for 'a post without remuneration' is Honorary.

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Filed Under: Alphabet Test
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