Aptitude and Reasoning Questions

Q:

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

Assertion (A)  : Shivaji developed the guerilla warfare. 

 Reason (R)    : Shivaji feared the Mughals. 

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: C) A is true but R is false.

Explanation:

 Shivaji initiated the guerilla warfare to defeat the Mughuls but he did not fear them. 

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Filed Under: Assertion and Reason

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Q:

The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is

A) 1677 B) 1683
C) 2523 D) 3363
 
Answer & Explanation Answer: B) 1683

Explanation:

 L.C.M of 5, 6, 7, 8 = 840

 

Therefore, Required Number is of the form 840k+3.

 

Least value of k for which (840k+3) is divisible by 9 is k = 2 

 

Therefore, Required  Number = (840 x 2+3)=1683

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Filed Under: HCF and LCM

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Q:

 

The given table represents the marks obtained by four students W, X, Y and Z in four subjects P, C, B and M, with the maximum marks in each subject being 100. Based on the given data, the student who got the lowest percentage in P, C, M and B combined is

A) Y B) X
C) Z D) W
 
Answer & Explanation Answer: A) Y

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

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Q:

What is the number of digits in 333? Given that log3 = 0.47712?

A) 12 B) 13
C) 14 D) 15
 
Answer & Explanation Answer: B) 13

Explanation:

 Let   Let x=333 333

 

 Then, logx = 33 log3  

 

= 27 x 0.47712 = 12.88224 

 

Since the characteristic in the resultant value of log x is 12

 

The number of digits in x is (12 + 1) = 13 

 

Hence the required number of digits in 333is 13.

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Filed Under: Logarithms
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

50 11604
Q:

If three groups could be formed using the given figures only once, these groups would be

 

 

A) (1,2,5), (3,6,8) and (4,7,9) B) (1,2,5), (4,7,8) and (3,6,9)
C) (1,2,9), (3,7,8) and (4,6,5) D) (1,2,5), (3,7,8) and (4,6,9)
 
Answer & Explanation Answer: D) (1,2,5), (3,7,8) and (4,6,9)

Explanation:
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Filed Under: Image Analysis
Exam Prep: Bank Exams

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Q:

Based on the given data, the percentage of literates in city A is ___.

 



A) 65 B) 70
C) 75 D) 80
 
Answer & Explanation Answer: C) 75

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

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Q:

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?

A) 1 : 2 : 3 B) 2 : 3 : 4
C) 3: 4 : 5 D) 4 : 5 : 6
 
Answer & Explanation Answer: B) 2 : 3 : 4

Explanation:

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8.

Seats for Mathematics, Physics and Biology in a school are 5x, 7x and 8x.

There is a proposal to increase these seats by 40%, 50% and 75% respectively.

Then Seats for Mathematics, Physics and Biology in a school will be

1.4 X 5x, 1.5 X 7x and 1.75 X 8x and

ratio will be 7 : 10.5 : 14  => 2:3:4.

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

21 11602
Q:

How many alphabets need to be there in a language if one were to make 1 million distinct 3 digit initials using the alphabets of the language?

A) 1000 B) 100
C) 500 D) 999
 
Answer & Explanation Answer: B) 100

Explanation:

1 million distinct 3 digit initials are needed.

 

Let the number of required alphabets in the language be ‘n’.

 

Therefore, using ‘n’ alphabets we can form n * n * n = n3 distinct 3 digit initials.

 

Note distinct initials is different from initials where the digits are different.

 

For instance, AAA and BBB are acceptable combinations in the case of distinct initials while they are not permitted when the digits of the initials need to be different.

 

This n3 different initials = 1 million 

i.e. n3=106  (1 million = 106)

  => n = 102 = 100

 

Hence, the language needs to have a minimum of 100 alphabets to achieve the objective.

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