Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of (sin30° + 1/3) ?

 

A) (2√2+√3)/2 B) (√6+1)/√3
C) 7/3   D) 5/6
 
Answer & Explanation Answer: D) 5/6

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Q:

Find the approximate value of ? in (14.998)3 = ?

 

A) 3573 B) 4096
C) 3378 D) 3374
 
Answer & Explanation Answer: D) 3374

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Q:

What is the value of [(√529) + (√5.29) + (√0.0529)]?

 

A) 25.323   B) 25.53  
C) 23.253   D) 23.53
 
Answer & Explanation Answer: B) 25.53  

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Q:

Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

A) 3/20 B) 29/34
C) 47/100 D) 13/102
 
Answer & Explanation Answer: D) 13/102

Explanation:

Let S be the sample space.

 

Then, n(S) = 52C2=(52 x 51)/(2 x 1) = 1326.

 

Let E = event of getting 1 spade and 1 heart.

 

n(E)= number of ways of choosing 1 spade out of 13 and 1 heart out of 13 = 13C1*13C1 = 169.

 

P(E) = n(E)/n(S) = 169/1326 = 13/102.

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Q:

The area of the largest circle that can be drawn inside a rectangle with sides 18cm by 14cm is

A) 49 B) 154
C) 378 D) 1078
 
Answer & Explanation Answer: B) 154

Explanation:

The diameter is equal to the shortest side of the rectangle.

 So radius= 14/2 = 7cm. 

Therefore,  area of circle =πr2=227×49=154cm2

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Q:

If Tan A = 15/8 and Tan B = 7/24, then Cos (A + B) = ?

 

A) 87/425 B) 304/425
C) 297/425 D) 416/425
 
Answer & Explanation Answer: A) 87/425

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Q:

Odd man out of the series

90 72 56 42 36 20

A) 20 B) 36
C) 42 D) 56
 
Answer & Explanation Answer: B) 36

Explanation:

The given number series is 90 72 56 42 36 20

9 x 10 = 90

8 x 9 = 72

7 x 8 = 56

6 x 7 = 42

5 x 6 = 30 (not 36) 

4 x 5 = 20

 

Hence, the odd man in the given number series is 36.

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Q:

Which of the following value of 'x' satisfies the equation 

4x-1.92x-6 = 5184

 

A) 2 B) 3
C) 4 D) 6
 
Answer & Explanation Answer: C) 4

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