Quantitative Aptitude - Arithmetic Ability Questions

Q:

If x/2 - [4(15/2 - x/3)]/3 = -x/18, then what is the value of x?

A) -10 B) 9/8
C) 10 D) -9/8
 
Answer & Explanation Answer: C) 10

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Q:

The mean of marks secured by 60 students in division A of class X is 66, 45 students of division B is 62 and that of 75 students of division C is 60. Find the mean of marks of the students of three divisions of Class X.

A) 61.8 B) 62.5
C) 61.1 D) 63.9
 
Answer & Explanation Answer: B) 62.5

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Q:

ABC is a triangle if sin (A+B2)=32 then the value of Sin c2 is

A) 12 B) 0
C) 1/2 D) 32
 
Answer & Explanation Answer: C) 1/2

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Q:

If 5 ­ 3x < 4 ­ x and 5(2 ­ x) > 2 ­ 2x, then x can take which of the following values?

A) 0 B) 1
C) 3 D) -1
 
Answer & Explanation Answer: B) 1

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Q:

Divide Rs. 368 in the ratio 1:5:8:9. The rupees in the respective ratios are given by

A) 16, 80, 127 7 145 B) 16, 80, 129 & 143
C) 16, 80, 128 & 144 D) 16, 80, 128 & 143
 
Answer & Explanation Answer: C) 16, 80, 128 & 144

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Q:

Given that the polynomial (x2+ ax+ b) leaves that same remainder when by (x –1) or (x + 1) What are the values of a and b respectively?

A) 4 and 0 B) 0 and 3
C) 3 and 0 D)  0 and any interger
 
Answer & Explanation Answer: D)  0 and any interger

Explanation:

Since x^2+ ax + b when divided by x-1 or x+1 leaves the same remainder

So on putting x=1 and x=-1 we get the same value

1+a+b = 1-a+b

2a=0

a=0

here b can take any value as it will always get cancelled out

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Q:

A rectangular playground ground of length 125 m and width 75 m, has a walking strip of width 3 m in the middle of the ground, along the longer side. What is the area of the ground without the walking strip?

A) 9375 sq.m B) 9000 sq.m
C) 9750 sq.m D) 8625 sq.m
 
Answer & Explanation Answer: B) 9000 sq.m

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Q:

The distance between the points (7,7) and (k,-5) is 13. Find k?

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

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