Quantitative Aptitude - Arithmetic Ability Questions

Q:

If cosec θ + sinθ = 5/2 then the value of cosecθ - sinθ is

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

Explanation:
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Q:

When a discount of 50% is given on a shirt, the profit is 25%. If the discount is 10%, then the profit is

A) 35 percent B) 55 percent
C) 215 percent D) 125 percent
 
Answer & Explanation Answer: D) 125 percent

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Q:

Study the information carefully to answer the following questions: An urn contains 5 red, 3 green, 2 blue and 4 yellow marbles. If three marbles are picked at random, what is the probability that one is green and two are yellow?

A) 3/14 B) 2/91
C) 9/182 D) 7/545
 
Answer & Explanation Answer: C) 9/182

Explanation:

Required probability = 3×6364=9182

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Q:

If R = 97 and S = 155.2, then S is how much percentage more than R?

A) 60 B) 37.2
C) 58.4 D) 48
 
Answer & Explanation Answer: A) 60

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Q:

A T.V was sold at a profit of 5% If it had been sold at a profit of 10% , the profit would have been Rs. 1000 more. What is its cost price ?

A) Rs.20000 B) Rs.5000
C) Rs.10000 D) Rs.15000
 
Answer & Explanation Answer: A) Rs.20000

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Q:

If 1 + secA = x, then the value of x is

A) sinAtanA/(1 + cosA) B) √[sinAtanA/(1 - cosA)]
C) sinAtanA/(1 - cosA) D) √[sinAtanA/(1 + cosA)]
 
Answer & Explanation Answer: C) sinAtanA/(1 - cosA)

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Q:

In the question, two equations I and II are given. You have to solve both the equations and give answer

x2-11x+28=0y2-18y+81=0

A) x > y B) x < y
C)  x=y, or relation cannot be established between x and y D) x ≥ y
 
Answer & Explanation Answer: B) x < y

Explanation:

x2 – 11x + 28=0

x2 – 7x – 4x + 28=0

x (x-7) – 4 (x-7)=0

(x-4) (x-7)=0 x=4, 7

y2 – 18y + 81=0

y2 –9y – 9y + 81=0

y (y-9) – 9 (y-9)=0

(y-9) (y-9)=0 y=9, 9

So, x<y.

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Q:

The compound interest earned in two years at 8% per annum is Rs 4160. What is the sum (in Rs) invested?

A) 24000 B) 25000
C) 30000 D) 20000
 
Answer & Explanation Answer: B) 25000

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