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 bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:

A) 2/91 B) 1/22
C) 3/22 D) 2/77
 
Answer & Explanation Answer: A) 2/91

Explanation:

Let S be the sample space.

Then, n(S) = number of ways of drawing 3 balls out of 15 = 15C3  =15*14*133*2*1= 455.  

Let E = event of getting all the 3 red balls.

 n(E) = 5C3 = 5*42*1 = 10.

 => P(E) = n(E)/n(S) = 10/455 = 2/91.

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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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Q:

SM@A#N2B4O&3C5P+D2

Using the above sequence find the characters that do NOT belong the group?

AO+, MB5, N32, $2P

 

A) N32 B) AO+
C) $2P D) MB5
 
Answer & Explanation Answer: C) $2P

Explanation:
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Q:

The radius of base of a right circular cone is 6cm and its slant height is 10cm. Then its volume is

(use π=227)

A) 301.71 cm3 B) 310.71 cm3
C) 301.17 cm3 D) 310.17 cm3
 
Answer & Explanation Answer: A) 301.71 cm3

Explanation:
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Q:

Find the odd one out?

6, 3, 3, 4.5, 10

A) 3 B) 4.5
C) 6 D) 10
 
Answer & Explanation Answer: D) 10

Explanation:

Here the given number series is 6, 3, 3, 4.5, 10

The odd one in the given series is 10

The pattern it follows is

6

6 x 0.5 = 3

3 x  1  = 3

3 x 1.5 = 4.5

4.5 x 2 = 9

 

Hence, the odd number is 10.

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Q:

23-[24-25-(26-27-28¯)]=?

 

 

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

Explanation:
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Q:

What will come in place of question mark (?) in the following number series?

4, 3, 4, 7, 15, ?

A) 42 B) 44
C) 53 D) 56
 
Answer & Explanation Answer: B) 44

Explanation:

  4             3             4             7               15        ?
×1-1      ×1+1       ×2-1       ×2+1           ×3-1

 

15x3 - 1 = 45 - 1 = 44

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