Quantitative Aptitude - Arithmetic Ability Questions

Q:

ΔXYZ is right angled at Y. If m∠Z = 30°, then find the value of (sinX - 3/√2).

 

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

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 103080
Q:

Find the Missing number in the given Series ?

 

2, 3, 6, 15, ? , 157.5

A) 87 B) 78.5
C) 56.5 D) 45
 
Answer & Explanation Answer: D) 45

Explanation:

Here given 

2, 3, 6, 15, ? , 157.5

2 x 1.5 = 3

3 x 2  = 6

6 x 2.5 = 15

15 x 3 = 45

45 x 3.5 = 157.5

Therefore, the missing number is 45

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

7 102828
Q:

What number should replace the question mark?

125, 138, 164, ?, 255

A) 189 B) 197
C) 200 D) 203
 
Answer & Explanation Answer: D) 203

Explanation:

The given number series is 125,   138,   164,   ?,   255

 

125

 

125 + 13x1 = 138

 

138 + 13x2 = 164

 

164 + 13x3 = 203

 

203 + 13x4 = 255

 

 

 

Hence, the missing number in the series is 203.

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Exam Prep: GATE , CAT , Bank Exams , AIEEE
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5 102543
Q:

A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B's share ?

A) 144 B) 169
C) 225 D) 339
 
Answer & Explanation Answer: A) 144

Explanation:

Ratio of initial investments = 1/2 : 1/3 : 1/4 = 6 : 4 : 3.

Let their initial investments be 6x, 2x and 3x respectively.

A : B : C = (6x * 2 + 3x * 10) : (4x * 12) : (3x * 12) = 42 : 48 : 36 = 7 : 8 : 6.

B's share =  Rs. (378 * 8/21) = Rs. 144.

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Filed Under: Partnership

149 102311
Q:

The perimeter of a square is 34 cm. Find its area (in cm2).

 

A) 144.5   B) 82.25  
C) 164.5   D) 72.25
 
Answer & Explanation Answer: D) 72.25

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

3 102244
Q:

If a/b = 1/4, b/c = 1/8 and a = 2 then the value of c is -

 

A) 8 B) 16
C) 32 D) 64
 
Answer & Explanation Answer: D) 64

Explanation:
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1 102123
Q:

If 3x2 + kx + k = 0 has no solution, then the value of k will satisfy

 

A) k > -12 B) k > 12
C) k < 12 D) 0 < k < 12
 
Answer & Explanation Answer: D) 0 < k < 12

Explanation:
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0 102060
Q:

(a - b)2 + 2ab = ?

 

A) a2 - b2 B) a2 + b2
C) a2 - 4ab + b2 D) a2 -  2ab + b2
 
Answer & Explanation Answer: B) a2 + b2

Explanation:
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Exam Prep: Bank Exams

4 101250