Quantitative Aptitude - Arithmetic Ability Questions

Q:

If by selling an article for Rs. 390 a shopkeeper gains 20% , then the cost is

A) Rs. 370 B) Rs. 325
C) Rs. 350 D) Rs. 300
 
Answer & Explanation Answer: B) Rs. 325

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Q:

A wholesaler sells a watch to a retailer at a gain of 20% and the retailer sells it to a customer at a loss of 10%. If the customer pays Rs 874.8, what had it cost the wholesaler?

A) Rs 945 B) Rs 810
C) Rs 994 D) Rs 675
 
Answer & Explanation Answer: B) Rs 810

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Q:

If (6x ­- 1) -­ (8x -­ 5) = 7, then the value of x is _______ .

A) -3/2 B) 3/2
C) 11/2 D) -11/2
 
Answer & Explanation Answer: A) -3/2

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Q:

What is the value of 53% of 7400?

A) 4312 B) 3478
C) 3922 D) 4124
 
Answer & Explanation Answer: C) 3922

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Q:

If 3 tan θ = cot θ where 0 < θ < π/2, then what is the value of θ ?

A) π/6 B) π/4
C) π/2 D) 1
 
Answer & Explanation Answer: A) π/6

Explanation:
3tan θ = cot θ 
3tan θ = 1/tan θ
tan2θ = 1/3
tan θ = 1/√3
θ = π/6
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Q:

PQR is right angled at Q. If m∠R = 45°, then find the value of (cosecP - √3/2)

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

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Q:

tan(A/2) is equal to

A) tanA/(1 + secA) B) 1/(cosecA + cotA)
C) tanA/(1 + cosecA) D) 1/(secA + cotA)
 
Answer & Explanation Answer: A) tanA/(1 + secA)

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Q:

Calculate the total numbers of prime factors in the expression (5)11 x (5)7 x (7)5 x (3)2 x (17)2.

 

A) 35 B)  36
C) 37 D) 38
 
Answer & Explanation Answer: D) 38

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