Aptitude and Reasoning Questions

Q:

Which of the following is correct?

A) (3x -­ 2y)2 = 9x2 -­ 12xy + 4y2 B) (3x -­ 2y)2 = 9x2 -­ 6xy + 4y2
C) (3x + 2y)2 = 9x2 -­ 12xy + 4y2 D) (3x + 2y)2 = 9x2 -­ 6xy + 4y2
 
Answer & Explanation Answer: A) (3x -­ 2y)2 = 9x2 -­ 12xy + 4y2

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Filed Under: Simplification
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Q:

On dividing a number by 47, we get 75 as quotient and 18 as remainder. What is the number?

A) 3507 B) 3543
C) 3489 D) 3561
 
Answer & Explanation Answer: B) 3543

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

A, B and C can do a job working alone in 6, 9 and 18 days respectively. They all work together for 1 day, then A and B quit. How many days C working alone will take to complete the remainder of the job?

A) 9 B) 6
C) 12 D) 10
 
Answer & Explanation Answer: C) 12

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

If x=aCosθCosΦ, y = aCosθSinΦ and z= aSinθ, then the value of x2+ y2 + z2 is

A) 2a2 B) 0
C) 4a2 D) a2
 
Answer & Explanation Answer: D) a2

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Q:

A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.

144, 256, 400, ?

A) 441 B) 576
C) 625 D) 289
 
Answer & Explanation Answer: B) 576

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Filed Under: Number Series
Exam Prep: Bank Exams

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Q:

Dodecahedron has 20 vertices. How many edges does it have?

A) 30 B) 16
C) 12 D) 24
 
Answer & Explanation Answer: A) 30

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Q:

The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ratio of the number of boys to the number of girls in the class is:-

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

Explanation:

Let the ratio be x : y
Total boys = 16.4 X x
Total girls = 15.4 X y
Total number of students in class = 16.4x + 15.4y
The average age of all students is 15.8
The total age of boys is 15.8x
The total age of girls is 15.8y
16.4x + 15.4y = 15.8x + 15.8y
0.6 x = 0.4 y
x/y = 0.4/0.6 = 2/3

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

The mean score in a test of the 12 boys in a class was 16 while the overall mean of the 30 students in the class was 18.1. What was the mean score of the girls?

A) 19.8 B) 20.5
C) 20 D) 19.5
 
Answer & Explanation Answer: D) 19.5

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Filed Under: Average
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