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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

6 times a fraction is greater than 7 times its reciprocal by 11. What is the fraction?

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

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Q:

If cosC + cosD = x, then value of x is

A) 2cos[(C+D)/2]cos[(C-D)/2] B) 2sin[(C+D)/2]sin[(C-D)/2]
C) 2cos[(C+D)/2]sin[(C-D)/2] D) 2sin[(C+D)/2]cos[(C-D)/2]
 
Answer & Explanation Answer: A) 2cos[(C+D)/2]cos[(C-D)/2]

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Q:

If 2A = 3B = 8C; What is A : B : C?

A) 8 : 3 : 2 B) 8 : 4 : 3
C) 2 : 3 : 8 D) 12 : 8 : 3
 
Answer & Explanation Answer: D) 12 : 8 : 3

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Q:

In the given figure, SX is tangent. SX = OX = OR. If QX = 3 cm and PQ = 9 cm, then what is the value (in cm) of OS?

A) 6 B) 5
C) 4 D) 3
 
Answer & Explanation Answer: D) 3

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Q:

(secA ­- tanA)/(cosecA + cotA) is equal to

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

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Q:

If Cos θ = 35/37, then what is the value of Cosec θ?

A) 37/12 B) 33/12
C) 35/12 D) 12/35
 
Answer & Explanation Answer: A) 37/12

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Q:

Price of diesel increased from Rs 45/litre to Rs 50/litre. How much should the consumption of diesel be reduced (in %) so as to increase expenditure by only 5%?

A) 5.5 B) 5
C) 4 D) 4.5
 
Answer & Explanation Answer: A) 5.5

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Q:

20% discount is offered on an item. By applying a promo code the customer wins 5% cash back. What is the effective discount?

A) 24 percent B) 25.2 percent
C) 25 percent D) 6 percent
 
Answer & Explanation Answer: A) 24 percent

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