Aptitude and Reasoning Questions

Q:

Find by how much percentage the average of first 10 odd numbers (starting from 1) is greater than the last term ?

A) 991/16 % B) 900/19 %
C) 874/13 % D) 719/17 %
 
Answer & Explanation Answer: B) 900/19 %

Explanation:

First ten odd numbers form an arithmetic progression of the form
1,3,5,7,9......
here a = first term = 1
d = common difference = 2
Average of first n numbers = (2a + (n - 1)d)/2
n th term of the AP = a + (n - 1)d
Substituting a = 1, d = 2 and n = 10 in the above formulas
average of first 10 numbers = 10
10 th term of the AP = 19
Therefore average of first 10 terms is 19 - 10 = 9 greater than
the last term. Hence the average is greater than the sum by
9/19 X 100 = 900/19 %

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Filed Under: Arithmetical Reasoning
Exam Prep: AIEEE , Bank Exams , CAT
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4 4409
Q:

If × means ÷,  - means ×,  ÷ means + and  + means- than (3 - 15 ÷ 19) × 8 + 6 = ?

A) 8 B) 4
C) 2 D) -1
 
Answer & Explanation Answer: C) 2

Explanation:

By the given data, we have  the expression :

(3 × 15 + 19) ÷ 8 - 6 = (45 + 19) ÷ 8 - 6 = 64 ÷ 8 - 6 = 8 - 6 = 2

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107 4404
Q:

Find out which of the figures (1), (2), (3) and (4) can be formed from the pieces given in figure (X).

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

Explanation:
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20 4390
Q:

The ratio of two positive numbers is 3 : 5 and the average of the number is 48. What is the product of numbers?

A) 3365 B) 2160
C) 1854 D) 1632
 
Answer & Explanation Answer: B) 2160

Explanation:

Let the number be 3p and 5p

ATQ,

8p = 2 x 48

p = 96/8

p = 12

 

The numbers are 36 and 60.

 

Hence, the product of the numbers = 36 x 60 = 2160.

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3 4385
Q:

A, B & C started a business and invested in the ratio 7:6:5. Next Year, they increased their investment by 25%, 20% and 15%, respectively. In what ratio should profit earned only during 2ndyear be distributed?

A) 155:144:175 B) 155:124:95
C) 135:147:152 D) 175:144:115
 
Answer & Explanation Answer: D) 175:144:115

Explanation:

Let A’s investment be= 7a
Let B’s investment be= 6a
Let C’s investment be= 5a
Their investment in 2ndyear:= (125% of 7a): (120% of 6a) : (115% of 5a) = 175 : 144 : 115

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Filed Under: Partnership
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3 4383
Q:

Throughout the ages the businessman has helped build civilisation's great cities, provided people with luxuries and artists with patronage, and lift his fellow citizens to understand the standard of living. In the last few centuries the businessman has seeded the Industrial Revolution around the world. 

 

The passage best supports the statement that the businessman _____

A) lives luxurious and comfortable life. B) is the beneficiary of the Industrial Revolution.
C) is capable of raising his standard of living. D) has contributed to the growth of civilisation.
 
Answer & Explanation Answer: D) has contributed to the growth of civilisation.

Explanation:
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Filed Under: Theme Detection

16 4383
Q:

Tom's father is thrice as old as Tom. 10 years ago Tom's father's age was 7 times his age. What is Tom's current age? 

 

 

A) 17 years  B) 16 years 
C) 15 years  D) 14 years
 
Answer & Explanation Answer: D) 14 years

Explanation:
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Filed Under: Problems on Ages
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Q:

The total of the ages of Ashok, Akbar and Anil is 65 years. What was the total of their ages six years ago ?

A) 59 B) 43
C) 57 D) 47
 
Answer & Explanation Answer: D) 47

Explanation:

Let their ages be x, y, z
Hence given that x + y + z = 65
Now, six years ago x age is x - 6, y is y - 6 and that of z is z - 6
Then the sum of their ages six years ago is (x + y + z) - (6 + 6 + 6) = 65 - 18 = 47

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Filed Under: Problems on Ages
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3 4380