Quantitative Aptitude - Arithmetic Ability Questions

Q:

ΔABC is right angled at B. If m∠C = 60°, then find the value of (cotA - 1/2).

A) -1/√3 B) (3-√2)/3√2
C) (2√3-1)/2 D) (√2-√3)/√6
 
Answer & Explanation Answer: C) (2√3-1)/2

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Q:

If 5x/2 - [7(6x - 3/2)]/4 = 5/8, then what is the value of x?

A) 1/4 B) -1/4
C) 4 D) -4
 
Answer & Explanation Answer: A) 1/4

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Q:

What is the value of (4a2 + 8b + 14c + 2)/2 ?

A) 2a2 + 4b + 7c + 1 B) a2 + 4b + 7c + 1
C) 2a2 + 4b + 7c + 2 D) a2 + 4b + 7c + 2
 
Answer & Explanation Answer: A) 2a2 + 4b + 7c + 1

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Q:

What is the value of cos2A/(1 + sinA)?

A) 1 + sinA B) 1 ­- sinA
C) 1 -­ secA D) 1 + secA
 
Answer & Explanation Answer: B) 1 ­- sinA

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Q:

Marked price of an item is Rs 300. On purchase of 2 items discount is 24%, on purchase of 5 items discount is 38%. Rachna buys 7 items, what is the effective discount?

A) 17.5 percent B) 20.4 percent
C) 34 percent D) 12.8 percent
 
Answer & Explanation Answer: C) 34 percent

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Q:

In a bag, the ratio of red balls to green balls is 4:9. If 7 more red balls are added to the bag, the ratio of red balls to green balls will become 5:6. How many green balls are there in the bag?

A) 12 B) 27
C) 18 D) 9
 
Answer & Explanation Answer: C) 18

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Q:

D and E are points on the sides AB and AC respectively of ΔABC such that DE is parallel to BC and AD:DB = 4:5, CD and BE intersect each other at F. Then the ratio of the areas of ΔDEF and ΔCBF

A) 16:25 B) 16:81
C) 81:16 D) 4:9
 
Answer & Explanation Answer: B) 16:81

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Q:

(secA - 1)/(secA + 1) is equal to?

A) (1 - sinA)/(1 + sinA) B) (1 + cosA)/(1 - cosA)
C) (1 + sinA)/(1 - sinA) D) (1 - cosA)/(1 + cosA)
 
Answer & Explanation Answer: D) (1 - cosA)/(1 + cosA)

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