Aptitude and Reasoning Questions

Q:

Directions : For the Assertion (A) and Reason (R) below, choose the correct alternative 

Assertion (A)  :  Diamond is used for cutting glass. 

Reason (R)     :  Diamond has a high refractive index. 

A) Both A and R are true and R is the correct explanation of A. B) Both A and R are true but R is NOT the correct explanation of A.
C) A is true but R is false. D) A is false but R is true.
 
Answer & Explanation Answer: B) Both A and R are true but R is NOT the correct explanation of A.

Explanation:

Diamond is very hard due to its rigid three dimensional structure and so, it is used for cutting glass. Refractive index of diamond is high and gives it the greater transparency and brilliance. 

 

 

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Filed Under: Assertion and Reason

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Q:

In a pot, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk, the pot would be full and ratio of milk and water would become 6 : 5. Find the capacity of the pot ?

A) 11 lit B) 22 lit
C) 33 lit D) 44 lit
 
Answer & Explanation Answer: B) 22 lit

Explanation:

Let the capacity of the pot be 'P' litres.
Quantity of milk in the mixture before adding milk = 4/9 (P - 8)
After adding milk, quantity of milk in the mixture = 6/11 P.
6P/11 - 8 = 4/9(P - 8)
10P = 792 - 352 => P = 44.

The capacity of the pot is 44 liters.

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Filed Under: Alligation or Mixture
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

43 23491
Q:

If two letters are taken at random from the word HOME, what is the probability that none of the letters would be vowels?

A) 1/6 B) 1/2
C) 1/3 D) 1/4
 
Answer & Explanation Answer: A) 1/6

Explanation:

P(first letter is not vowel) = 24

 

P(second letter is not vowel) = 13

 

So, probability that none of letters would be vowels is = 24×13=16

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Filed Under: Probability

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Q:

If each side of a square is increased by 25%, find the percentage change in its area.

A) 56.25% B) 36.25%
C) 16.25% D) 12.25%
 
Answer & Explanation Answer: A) 56.25%

Explanation:

Let each side of the square be a. Then, area = .a2
New side =125a100=5a4. New area = 5a42 = 25a216

 

Increase in area = 25a216-a2=9a216
Increase% = 9a216*1a2*100 % = 56.25%.

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

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Q:

Which of the following has the most number of divisors?

A) 99 B) 101
C) 176 D) 182
 
Answer & Explanation Answer: C) 176

Explanation:

99 = 1 x 3 x 3 x 11

 

101 = 1 x 101

 

176 = 1 x 2 x 2 x 2 x 2 x 11

 

182 = 1 x 2 x 7 x 13

 

So, divisors of 99 are 1, 3, 9, 11, 33, .99

 

Divisors of 101 are 1 and 101

 

Divisors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88 and 176

 

Divisors of 182 are 1, 2, 7, 13, 14, 26, 91 and 182.

 

Hence, 176 has the most number of divisors.

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Filed Under: HCF and LCM

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Q:

The total surface area of a cube is 253.5 sq.cm. Find its side (in cm).

 

A) 7.5 B) 5.5
C) 6.5 D) 8.5
 
Answer & Explanation Answer: C) 6.5

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

Refer the below table and answer the following question.

How many cars were manufactured in the months of April and May?

A) 690 B) 1130
C) 3660 D) 950
 
Answer & Explanation Answer: D) 950

Explanation:
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Filed Under: Table Charts
Exam Prep: Bank Exams

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Q:

Some mangoes are yellow.
Some tixo are mangoes.

Conclusions:
(i) Some mangoes are green.
(ii) Tixo is a yellow.

A) Only conclusion (i) follows B) Only conclusion (ii) follows
C) Either (i) or (ii) follows D) Neither (i) nor (ii) follows
 
Answer & Explanation Answer: D) Neither (i) nor (ii) follows

Explanation:
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Filed Under: Verification of Truth of the statement
Exam Prep: CAT
Job Role: Bank Clerk

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