Quantitative Aptitude - Arithmetic Ability Questions

Q:

∆UVW is right angled at V. If cosU = 8/17, then what is the value of sinW ?

 

A) 15/17 B) 17/8
C) 8/17 D) 17/15
 
Answer & Explanation Answer: C) 8/17

Explanation:
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Q:

Which of the following statement(s) is/are TRUE?

 

I. √(64) + √(0.0064) + √(0.81) + √(0.0081) = 9.07
II. √(0.010201) + √(98.01) + √(0.25) = 11.51

A) Only I B) Only II
C) Both I and II D) Neither I nor II
 
Answer & Explanation Answer: A) Only I

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Q:

In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?

A) 720 B) 520
C) 700 D) 750
 
Answer & Explanation Answer: A) 720

Explanation:

The word 'LEADING' has 7 different letters.

When the vowels EAI are always together, they can be supposed to form one letter.

Then, we have to arrange the letters LNDG (EAI).

Now, 5 (4 + 1) letters can be arranged in 5! = 120 ways.

The vowels (EAI) can be arranged among themselves in 3! = 6 ways.

Required number of ways = (120 x 6) = 720.

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Q:

What is the area of this trapezoidal garden? (All measurements are in cm)

 

A) 60 sq.cm B) 180 sq.cm
C) 210 sq.cm D) 240 sq.cm
 
Answer & Explanation Answer: D) 240 sq.cm

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Q:

45 - [38 - {80 / 4 - (8 - 12 / 3) / 4}] = ?

 

A) 25 B) 27
C) 26 D) 28
 
Answer & Explanation Answer: C) 26

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Q:

Find the unit place digit in the given expression.

 

153144 - 115123 - 111510 + 21625

 

A) 1 B) 5
C) 6 D) 3
 
Answer & Explanation Answer: A) 1

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Q:

(5x- 3)(x + 4) - (2x + 5)(3x - 4) = ?

 

A) -x2+10x-8 B) -x2+10x+8
C) x2+10x-8 D) x2+10x+8
 
Answer & Explanation Answer: B) -x2+10x+8

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Q:

A salesman gets commission on total sales at 9%. If the sale is exceeded Rs.10,000 he gets an additional commission as bonus of 3% on the excess of sales over Rs.10,000. If he gets total commission of Rs.1380, then the bonus he received is:

A) Rs.180 B) Rs.120
C) Rs.480 D) data insufficient
 
Answer & Explanation Answer: B) Rs.120

Explanation:

Commission up to 10000 = 10000x9100 = 900 

 

Again after 10000, 

 

              Commission    :   Bonus 

                           9       :   3 

                         3x        :   x

 

 Therefore,   Bonus = 1380-900×14 = Rs. 120

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