Aptitude and Reasoning Questions

Q:

In the circle above, chord AB is extended to meet the tangent DE at D. If AB = 12 cm and DE = 8 cm, find the length of BD.

A) 4 cm B) 5 cm
C) 6 cm D) 7 cm
 
Answer & Explanation Answer: A) 4 cm

Explanation:
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Filed Under: Area
Exam Prep: AIEEE , Bank Exams , CAT

4 2722
Q:

The average of X, Y, Z is 24. Also, X:Y = 2:3 and X+Y = 60, then find the value of (X-Z)?

A) 9 B) 10
C) 11 D) 12
 
Answer & Explanation Answer: D) 12

Explanation:

X+Y+Z = 24*3 = 72 X:Y = 2:3 (Given)
Let ‘X’ to be 2a & ‘Y’ to be 3a
X+Y = 60 (Given)
2a+3a = 60
5a = 60
a = 12
Hence, X = 24 & Y = 36
From equation (1)...
Z = 72 - 60
Z = 12
Hence, X - Z = 24-12 = 12.

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Filed Under: Average
Exam Prep: Bank Exams

0 2719
Q:

The ratio of speed of three racers is 3 : 4 : 6. What is the ratio of time taken by the three racers to cover the same distance?

 

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

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

3 2716
Q:

3x2-14x+16=05y2-16y+12=0

A) x > y B) x < y
C) x=y or relation cannot be established between x and y D) x ≥ y
 
Answer & Explanation Answer: C) x=y or relation cannot be established between x and y

Explanation:

3x2 – 14x + 16=0

3x2 –6x – 8x + 16=0

3x (x-2) – 8 (x-2)

(3x-8) (x-2)=0

x=8/3 or 2

5y2 – 16y + 12=0

5y2 – 10y – 6y + 12=0

5y (y-2) – 6 (y-2)=0

(5y-6) (y-2)=0

y=6/5 or 2

Can't be determined.

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Filed Under: Simplification

1 2715
Q:

If the sum of digits is 9 and the difference between the digit in the ten's place and unit's place is 1, then the two-digit number is?

A) 45 B) 63
C) 54 D) 72
 
Answer & Explanation Answer: C) 54

Explanation:
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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

1 2714
Q:

If a mirror is placed on the line AB, then which of the answer figures is the right image of the given figure?

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

Explanation:
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7 2713
Q:

A swimming pool is filled in 10 hours by three tankers A, B and C. The tanker C is twice as fast as B and B is twice as fast as A. How much time will tanker A alone take to fill the swimming pool?

A) 90 hours B) 40 hours
C) 70 hours D) 80 hours
 
Answer & Explanation Answer: C) 70 hours

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Filed Under: Pipes and Cistern
Exam Prep: AIEEE , Bank Exams , CAT

0 2711
Q:

In a certain code language, "VENUS" is written as "TVOFW". How is "FAMILY" written in that code language?

A) ZMJNBG B) GBNJMZ
C) EZLQKX D) XKHLZQ
 
Answer & Explanation Answer: A) ZMJNBG

Explanation:
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Filed Under: Coding and Decoding

1 2711