Quantitative Aptitude - Arithmetic Ability Questions

Q:

Simplify : 69 X 69 X 69 -65 X 65 X 669 X 69 + 69 X 65 + 65 X 65

A) 1 B) 4
C) 0.216 D) 0.164
 
Answer & Explanation Answer: B) 4

Explanation:

69 –65 = 4

69
65 = 4
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Q:

In math questions answers each questions are solved with explanation. The questions are based from different topics. Care has been taken to solve the questions in such a way that students can understand each and every step

1. Which is greater than 4?

(a) 5,

(b) -5,

(c) -1/2,

(d) -25.
                                             

A) 5 B) 20
C) 2 D) 3
 
Answer & Explanation Answer: A) 5

Explanation:

Solution:

5 greater than 4.

Answer: (a)

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Q:

If p and q are the roots of the equation x2 –15x + r = 0 and p –q = 1, then what is the value of r ?

A) 55 B) 56
C) 60 D) 64
 
Answer & Explanation Answer: B) 56

Explanation:

In the below equation,

x2–15x + r = 0

sum of roots = p + q = -(-15)/1 = 15 (sum of roots for equation ax2+ bx + c is -b/a)

product of roots = pq = r/1 = r     (product of roots for equation ax2+ bx + c is c/a)

given p –q = 1

also we know that p+q = 15

subtracting the squares of both

(p+q)2 + (p-q)2 = 15^2–1

p2 + q2 + 2pq –p2 –q2 +2pq = 225 -1

4pq = 224

4r = 224

r = 56

 

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Q:

The difference between the simple interest obtained by investing Rs. 'X' with 8% per annum for an year and by investing Rs. 'X+1400' with 8% per annum for two years is 240 Rs. Find the value of X.

A) 200 B) 100
C) 400 D) 300
 
Answer & Explanation Answer: A) 200

Explanation:

[(X+1400)*8*2/100] - [(X*8*1)/100]= 240
0.16X + 14*16 - 0.08X = 240
0.08X = 240 - 224
0.08X = 16
X = Rs. 200

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Q:

The average weight of 35 apples is 50 grams. If some apples of weight 40 grams each were removed, then average weight becomes 57.5 grams. How many apples of weight 40 grams were removed?

A) 5 B) 10
C) 15 D) 20
 
Answer & Explanation Answer: C) 15

Explanation:
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Q:

If 35% of A's income is equal to 25% of B's income, then the ratio of A's income to B's income is

A) 7:5 B) 5:7
C) 4:7 D) 4:3
 
Answer & Explanation Answer: B) 5:7

Explanation:
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Q:

If x(2x + 3) = 90 and 7y-1/2+ 2y-1/2= y1/2 (x and y are positive numbers), then what is the value of x2+ y2?

A) 45 B) 109
C) 117 D) 126
 
Answer & Explanation Answer: C) 117

Explanation:
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Q:

A shopkeeper, sold cocoa seeds at the rate Rs 1330 a kg and bears a loss of 15%. Now if he decides to sell it at Rs 1463 per kg, what will be the result?

A) 13 percent loss B) 6.5 percent gain
C) 6.5 percent loss D) 13 percent gain
 
Answer & Explanation Answer: C) 6.5 percent loss

Explanation:
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