Quantitative Aptitude - Arithmetic Ability Questions

Q:

If tan x = 1, 0 < x < 90, then what is the value of 2 sin x cos x?

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

Explanation:

tan x = 1

then x = 45

2sin x. cos x = 2× 1/√2 x 1/√2 = 1

an x = 1
then
x = 45
o
2sin x. cos x =
2
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Q:

If 1/3(12x/5 - 1/2) + 6/5 = 7/6, then what is the value of x?

A) 1/6 B) -1/6
C) 1/5 D) -1/5
 
Answer & Explanation Answer: A) 1/6

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Q:

If Sin 31° = xy, then the value of Sec 31° - Sin 59° is

A) x2yy2-x2 B) -x2yy2-x2
C) -y2y2-x2 D) x
 
Answer & Explanation Answer: A) x2yy2-x2

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Q:

Roshan's current age is three years less than 1.5 times that of Usha's. 12 years ago Usha's age was three years more than half of Roshan's age. What is Roshan's present age in

A) 42 B) 39
C) 33 D) 30
 
Answer & Explanation Answer: A) 42

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Q:

The average weight of 10 parcels is 1.7 kg. Addition of another new parcel reduces the average weight by 60 gram. What is the weight , in kg, of the new parcel?

A) 1.04 B) 1.08
C) 1.4 D) 1.8
 
Answer & Explanation Answer: A) 1.04

Explanation:
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Q:

In a committee there are 15 members. If two members whose ages are 45 years and 55 years are replaced by the two new members, then average age of 15 members is increased by 2 years. What is the average age (in years) of the new members?

A) 59 B) 61
C) 65 D) 68
 
Answer & Explanation Answer: C) 65

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Q:

Two pipes X and Y can fill an empty tank in 16 hours and 20 hours respectively. Pipe Z alone can empty the completely filled tank in 25 hours. Firstly both pipes X and Y are opened and after 6 hours pipe Z is also opened. What will be the total time (in hours) taken to completely fill the tank?

 

A) 80/7 B) 67/7
C) 28/3 D) 304/29
 
Answer & Explanation Answer: D) 304/29

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Q:

At 30% discount the selling price of an article is Rs 1050. What is the selling price (in Rs) if the discount is 15%?

A) 1200 B) 1175
C) 1100 D) 1275
 
Answer & Explanation Answer: D) 1275

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