Aptitude and Reasoning Questions

Q:

The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 9000, brokerage being 14%  is :

A) Rs.108.25 B) Rs.112.20
C) Rs.124.75 D) Rs.125.25
 
Answer & Explanation Answer: C) Rs.124.75

Explanation:

For an income of Rs.756, investment = Rs.9000 

 

For an income of Rs.212, investment = Rs.9000756*212 = Rs.125 

 

For a Rs.100 stock, investment = Rs.125.

 

Market value of Rs. 100 stock  = Rs.125-14 = Rs. 124.75

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Filed Under: Stocks and Shares

4 10136
Q:

An Engine length 1000 m moving at 10 m/s. A bird is flying from engine to end with 'x' m/s and coming back at '2x' m/s. Take total time of bird travelling as 187.5 s. Find x and 2x in km/hr ?

A) 21.4 and 42.8 B) 25.2 and 50.4
C) 31.4208 and 62.8416 D) 33.12 and 66.24
 
Answer & Explanation Answer: C) 31.4208 and 62.8416

Explanation:

Birds speeds in mtrs/sec is 'x' and '2x' .
While flying from Engine to end, relative speed = (x+10) m/sec
from end to engine, flying speed = (2x - 10) mtr/sec
so
1000/(x+10) + 1000/(2x-10) = 187.5 secs
solving it, we get
so x = 8.728 m/sec and 2x= 17.456 m/sec

x = 31.4208 km/hr and 2x = 62.8416 km/hr.

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Filed Under: Problems on Trains
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11 10135
Q:

1747 + 13212 - ? = 1123

A) 16 B) 17
C) 18 D) 19
 
Answer & Explanation Answer: D) 19

Explanation:

1747 + 13212 - ? = 1123

1237 + 15812 - ? = 353

=> ? = 1237 + 15812 - 353

=> ? = 1476 + 1106 - 98084

=> ? = 19.07

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Filed Under: Simplification
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13 10126
Q:

A is 50% more efficient than B. They together start the work and 7/12th of work is left after 8 days. Find in what time B alone will complete the whole work.

A) 36 days  B) 44 days 
C) 50 days  D) 40 days 
 
Answer & Explanation Answer:

Explanation:

Ratio of efficiency of A to B is 3 : 2

Let, In 8 days they complete = (3 + 2) × 8 = 40 units

So, total work = 40 × 12/5 units

Time taken by B alone to complete whole work = 40 ×  12/5 ×2 = 48 days 

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT

5 10112
Q:

What is the value of 62 tens?

A) 6 B) 620
C) 62 D) 2
 
Answer & Explanation Answer: B) 620

Explanation:

Here in the question it is asked that 62 tens, which implies ten times of 62.

=> 62 x 10 = 620.

 

Hence, the value of 62 tens = 620.

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Filed Under: Arithmetical Reasoning
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10 10106
Q:

In the arrangement of letters and numbers given below , first all the numbers are arranged in the descending order and then all the letters are written in the alphabetical order. Then which letter / number will be fourth to the left of the 11th element from the left end in the new arrangement?

 

P N 3 W 9 Q 1 8 L K 4 6 B 7 

A) K B) 3
C) B D) 1
 
Answer & Explanation Answer: D) 1

Explanation:

New arrangement becomes as follows:

9 8 7 6 4 3 1 B K L N P Q W

4th to the left of 11th element from the left means (10 - 3 = ) 7th element from the left, i.e 1

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Filed Under: Alphabet Test

16 10105
Q:

In how many years, Rs. 200 will produce the same interest @ 5 % as Rs. 900 produce in 2 years @ 3 ½ %  ?

A) 5.2 yrs B) 7 yrs
C) 7.9 yrs D) 6.3 yrs
 
Answer & Explanation Answer: D) 6.3 yrs

Explanation:

P = Rs. 900, R = 3 ½ % = 7/2 %, T = 2 years. 

Therefore, 

S.I. = PTR/100

S.I. = Rs. (900 x 7/2 x 2/100) = Rs. 63

Now, P = Rs. 200, S.I. = Rs. 63, R = 5 %

Time = ((100 x 63) / (200 x 5) ) years = 6.3 years.

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Filed Under: Simple Interest
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6 10093
Q:

Find the principal if the interest compounded at the rate of 10% per annum for two years is Rs. 420 ?

A) Rs. 2000 B) Rs. 2100
C) Rs. 1900 D) Rs. 2150
 
Answer & Explanation Answer: A) Rs. 2000

Explanation:

Given,
Compound rate, R = 10% per annum
Time = 2 years
C.I = Rs. 420
Let P be the required principal.
A = (P+C.I)
Amount, A = P1 + r100n

(P+C.I) = P1 + 101002

(P+420) = P[11/10][11/10]

P-1.21P = -420

0.21P = 420

Hence, P = 420/0.21 = Rs. 2000

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Filed Under: Compound Interest
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7 10088