Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of (sin45 - √3) ?

 

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

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 84816
Q:

If 19x2 = 1002 - 902, then find the value of x.

 

A) 10 B) 9
C) 11 D) 12
 
Answer & Explanation Answer: A) 10

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Exam Prep: Bank Exams

1 84794
Q:

Solve the following :

 

(-8) [36 / {7 - (-2)}] / (-4){19 - (-3) x (-5)} = ?

A) 4 B) -4
C) -2 D) 2
 
Answer & Explanation Answer: D) 2

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Filed Under: Simplification
Exam Prep: Bank Exams

2 84788
Q:

In the below word how many words are there in which R and W are at the end positions?

RAINBOW

A) 120 B) 180
C) 210 D) 240
 
Answer & Explanation Answer: D) 240

Explanation:

When R and W are the first and last letters of all the words then we can arrange them in 5!ways. Similarly When W and R are the first and last letters of the words then the remaining letters can be arrange in 5! ways.

Thus the total number of permutations = 2 x 5!  = 2 x 120 = 240

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4 84507
Q:

At what time between 5 and 6 o' clock are the hands of a 3 minutes apart ?

A) 24min B) 12min
C) 13min D) 14min
 
Answer & Explanation Answer: A) 24min

Explanation:

In this type of problems the formuae is
(5*x+ or - t)*12/11
Here x is replaced by the first interval of given time. Here x is 5.
t is spaces apart

  Case 1 : (5*x + t) * 12/11

 (5*5 + 3) * 12/11

 28 * 12/11 = 336/11= 31511 min

therefore the hands will be 3 min apart at 31 5/11 min past 5.

Case 2 : (5*x - t) * 12/11

(5*5 -3 ) * 12/11

 22 *12/11 = 24 min 

 therefore the hands will be 3 min apart at 24 min past 5

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

202 84191
Q:

If z = 6 - 2√3, then find the value of (z - 1z)2.

 

A) 102 - 4634 B) 102 - 4632
C) 102 - 46324 D) 12 - 46324
 
Answer & Explanation Answer: C) 102 - 46324

Explanation:
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0 83921
Q:

If S is the midpoint of a straight line PQ and R is a point different from S, such that PR =RQ, then

 

A) ∠PRS = 90° B) ∠QRS = 90°
C) ∠PSR = 90° D) ∠QSR = 90°
 
Answer & Explanation Answer: C) ∠PSR = 90°

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Filed Under: Area
Exam Prep: Bank Exams

1 83861
Q:

Tea worth of Rs. 135/kg & Rs. 126/kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be____?

A) Rs. 169.50 B) Rs.1700
C) Rs. 175.50 D) Rs. 180
 
Answer & Explanation Answer: C) Rs. 175.50

Explanation:

Since first second varieties are mixed in equal proportions, so their average price = Rs.(126+135)/2= Rs.130.50

So, Now the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say Rs. 'x' per kg in the ratio 2 : 2, i.e., 1 : 1. We have to find 'x'.

 

Cost of 1 kg tea of 1st kind         Cost of 1 kg tea of 2nd kind 

 

 

  

x-153/22.50 = 1  => x - 153 = 22.50  => x=175.50.

 Hence, price of the third variety = Rs.175.50 per kg.

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Filed Under: Alligation or Mixture
Exam Prep: CAT , Bank Exams , AIEEE

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