Quantitative Aptitude - Arithmetic Ability Questions

Q:

ΔXYZ is right angled at Y. If sinX = 12/13, then what is the value of cosecZ ?

 

A) 5/12   B)  5/13  
C) 13/5   D)  13/12
 
Answer & Explanation Answer: C) 13/5  

Explanation:
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Q:

A's salary is 40% of B's salary which is 25% of C's salary. What percentage of C's salary is A's salary ? 

A) 10 B) 20
C) 30 D) 40
 
Answer & Explanation Answer: A) 10

Explanation:

A's Salary  = 40% of B = 40% of (25% of C) = 40/100[(52/100)*100] % of C = 10% of C.

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Filed Under: Percentage

228 77719
Q:

A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: C) 3

Explanation:

Area of the park = (60 x 40) = 2400m2

Area of the lawn = 2109m2 

Area of the crossroads = (2400 - 2109) = 291m2 

Let the width of the road be x metres. Then,

60x+40x-X2=291 

x2-100x+291=0 

  (x - 97)(x - 3) = 0
   x = 3.

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84 77674
Q:

What should come in place of question mark (?) in the following question?

52000 ÷ 40 ÷ 65 × 30 = ? - √400

A) 580 B) 620
C) 720 D) 780
 
Answer & Explanation Answer: B) 620

Explanation:

52000 ÷ 40 ÷ 65 × 30 = ? - √400

(52000 ÷ 40) ÷ 65 × 30 = ? - 20

(1300 ÷ 65) × 30 = ? - 20

20 × 30 = ? - 20

600 = ? - 20

? = 620

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Filed Under: Simplification

1 77663
Q:

At what rate percent per annum will a sum of money double in 8 years.

A) 12.5% B) 13.5%
C) 11.5% D) 14.5%
 
Answer & Explanation Answer: A) 12.5%

Explanation:

Let principal = P, Then, S.I.= P and Time = 8 years

 

We know that S.I. = PTR/100

 

Rate = [(100 x P)/ (P x 8)]% = 12.5% per annum.

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Filed Under: Simple Interest
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466 77418
Q:

The length of a diagonal in cms of a rectangle of length 5 cm and width 3 cm is

 

A) √34 B) +-√34
C) 4 D) +-4
 
Answer & Explanation Answer: A) √34

Explanation:
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Q:

A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability of wife's selection is (1/5). What is the probability that only one of them is selected ?

A) 2/7 B) 1/7
C) 3/4 D) 4/5
 
Answer & Explanation Answer: A) 2/7

Explanation:

Probability_35.jpg

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Q:

Find out the wrong number in the series.

7, 8, 18, 57, 228, 1165, 6996

A) 8 B) 18
C) 57 D) 228
 
Answer & Explanation Answer: D) 228

Explanation:

Let the given numbers be A, B, C, D, E, F, G.

Then, A, A x 1 + 1, B x 2 + 2, C x 3 + 3, D x 4 + 4, E x 5 + 5, F x 6 + 6 are the required numbers.

Clearly, 228 is wrong.

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Filed Under: Odd Man Out

34 76248