Quantitative Aptitude - Arithmetic Ability Questions

Q:

A sum of Rs 3170 is divided among X, Y and Z such that if Rs 13, Rs 12 and Rs 18 will be diminished from the shares of X, Y and Z respectively, then their shares will be in the ratio 20 : 18 : 21. What is the initial share (in Rs) of Z?

A) 1131 B) 1530
C) 910 D) 1350
 
Answer & Explanation Answer: A) 1131

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Q:

If x + [1/(4x)] = 5/2, then what is the value of (64x6+ 1)/8x3?

A) 110 B) 115
C) 125 D) 140
 
Answer & Explanation Answer: A) 110

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Q:

Find the least common multiple of 15 and 12?

A) 3 B) 12
C) 30 D) 60
 
Answer & Explanation Answer: D) 60

Explanation:

The least common multiple of 12 and 15 is

12 = 2 x 2 x 3

15 = 3 x 5

 

LCM of 12 and 15 is  2 x 2 x 3 x 5 = 60.

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Filed Under: HCF and LCM
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Q:

What is the HCF (highest common factor) of 133 and 112?

A) 15 B) 7
C) 19 D) 6
 
Answer & Explanation Answer: B) 7

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Q:

By selling a bag at Rs. 230, profit of 15% is made. The selling price of the bag, when it is sold at 20% profit would be

A) Rs.250 B) Rs.205
C) Rs.240 D) Rs.200
 
Answer & Explanation Answer: C) Rs.240

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Q:

The product of two 2-digit numbers is 2160 and their H.C.F. is 12. The numbers are

A) (12, 60) B) (72, 30)
C) (36, 60) D) (60, 72)
 
Answer & Explanation Answer: C) (36, 60)

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Q:

If (1 + cosA)/2 = x, then the value of x is

A) sin(A/2) B) √sin(A/2)
C) √cos(A/2) D) cos2(A/2)
 
Answer & Explanation Answer: D) cos2(A/2)

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Q:

If cotA + cotB = x, then value of x is

A) (cotAcotB + 1)/(cotB - cotA) B) (cotAcotB + 1)/(cotB + cotA)
C) (cotAcotB - 1)/(cotB + cotA) D) (cotAcotB - 1)/(cotB - cotA)
 
Answer & Explanation Answer: C) (cotAcotB - 1)/(cotB + cotA)

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