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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

ΔABC is right angled at B. If m∠C = 45 deg, then find the value of (cosecA - √3).

 

A) (4-√3)/2   B) √2-√3  
C) -√3/2 D) (√6-1)/√3
 
Answer & Explanation Answer: B) √2-√3  

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The length of a diagonal in cms of a rectangle of length 5 cm and width 6 cm is

 

A) 61 B) ±61
C) 11 D) ±11
 
Answer & Explanation Answer: A) 61

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

3 46310
Q:

Three unbiased coins are tossed.What is the probability of getting at least 2 heads?

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

Explanation:

Here S= {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}.

Let E = event of getting at least two heads = {THH, HTH, HHT, HHH}.

P(E) = n(E) / n(S)

      = 4/8= 1/2

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Filed Under: Probability

92 46234
Q:

What will come in place of the question mark in the series below?

2, 17, 89, 359, 1079, ?

A) 2137 B) 2121
C) 2377 D) 2159
 
Answer & Explanation Answer: D) 2159

Explanation:

Ans. 
17 = 2 x 6 + 5
89 = 17 x 5 + 4
359 = 89 x 4 + 3
1079 = 359 x 3 + 2
? = 1079 x 2 + 1, i.e. ? = 2159

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , GATE

2 46210
Q:

∆DEF is right angled at E. If m∠F = 60 deg, then find the value of (cotD - 2/√3).

 

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

Explanation:
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Q:

4 + (16) [-10 x 25 - 13 - 3 ÷ -5] = ?

 

A) 8 B) 9
C) 6 D) 7
 
Answer & Explanation Answer: D) 7

Explanation:
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Filed Under: Simplification
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0 46114
Q:

The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is :

A) 100 B) 200
C) 300 D) 400
 
Answer & Explanation Answer: D) 400

Explanation:

Let the numbers be x and y.

 

Then, xy = 9375 and  x/y = 15.

 

xyxy=9375/15

 

=>y2 =625

 

=> y = 25

 

=> x = 15y = 15 x 25 = 375.

 

Sum of the numbers = 375 + 25 = 400.

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Filed Under: Problems on Numbers

38 46089
Q:

An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:

A) 1.04 B) 2.04
C) 3.04 D) 4.04
 
Answer & Explanation Answer: D) 4.04

Explanation:

100 cm is read as 102 cm. 

A1 = (100*100)Sq.cm 

A2 = (102*102)Sq.cm

(A2 - A1) = 1022-1002 = (102 + 100) x (102 - 100) = 404 sq.cm.

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

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