Quantitative Aptitude - Arithmetic Ability Questions

Q:

If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 4650, C will receive ____

A) Rs.700 B) Rs.800
C) Rs.900 D) Rs.1000
 
Answer & Explanation Answer: C) Rs.900

Explanation:

Let 4A = 6B = 1OC = k. Then, A = k/4, B = k/6,  and C =k/10 .

 

A : B :C = k/4 : k/6 : k/10 = 15 : 10 : 6.

 

Hence, C's share (4650 *  6/31) = Rs, 900.

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Q:

Calculate the area (in sq.cm) of a circle whose diameter is 14 cm.

 

A) 154 B) 308
C) 224 D) 448
 
Answer & Explanation Answer: A) 154

Explanation:
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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:

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

Explanation:
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Q:

A watch which gains uniformly ,is 5 min,slow at 8 o'clock in the morning on sunday and it is 5 min 48 sec.fast at 8 p.m on following sunday. when was it correct?

A) 7pm on wednesday B) 20 min past 7pm on wednesday
C) 15min past 7pm on wednesday D) 8pm on wednesday
 
Answer & Explanation Answer: B) 20 min past 7pm on wednesday

Explanation:

This sunday morning at 8:00 AM, the watch is 5 min. Slow, and the next sunday at 8:00PM it becomes 5 min 48 sec fast.  The watch gains 5+54860 min in a time of  (7×24)+12 = 180 hours. 

 

To show the correct time, it has to gain 5 min.

 

545min180hours

5min ->

5542×180

 

8313hrs=72hrs+1113hrs=3days+11hrs+20min

 

So the correct time will be shown on wednesday at 7:20 PM

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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

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

Explanation:
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Q:

 If a2 = 12, then a4 =? 

 

A) 144 B) 72
C) 36 D) 24
 
Answer & Explanation Answer: A) 144

Explanation:

Given a x a = 12

asked to find a x a x a x a =  (a x a) x (a x a)

a4 = a2 x a2 

= 12 x 12

= 144.

 

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