Quantitative Aptitude - Arithmetic Ability Questions

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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247 68232
Q:

The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is : 

A) 45 kg B) 46 kg
C) 47 kg D) 48 kg
 
Answer & Explanation Answer: A) 45 kg

Explanation:

Weight of the teacher = (35.4 x 25 - 35 x 24) kg = 45 kg.

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233 67845
Q:

Find the angle between the hour hand and the minute hand of a clock when the time is 3.25

A) 47.5 degrees B) 57.5 degrees
C) 45.5 degrees D) 55.5 degrees
 
Answer & Explanation Answer: A) 47.5 degrees

Explanation:

At 3 O'clock, Minute hand is at 12 while the Hour hand is at 3. Again the minute hand has to sweep through ( 30 x 5 ) ie 150° for reaching the figure 5 to show 25 mins. 

Simultaneously the Hour hand will also rotate for 25 mins. Thus starting from the mark, 3 the hour hand will cover an angle = (25 x 30) / 60 = 12.5° 

Hence, Angle between Hour and the Minute hand = ( 60 - 12.5 ) = 47.5°

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Filed Under: Clocks
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175 67826
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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89 67802
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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231 67675
Q:

What should come in place of question mark (?) in the following question?

45% of 400+ √? = 56% of 750 - 40% of 350

A) 10000 B) 1000
C) 10201 D) 9801
 
Answer & Explanation Answer: A) 10000

Explanation:

45/100×400+√?=56/100 ×750 -40/100 ×350

180 + √? = 420 - 140 180 + √? = 280 √? = 280 - 180 √? = 100 ? = 1002 ? = 10000

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Q:

Simplify the following expression?

40% of (244 x ?) = 48

A) 24 B) 22
C) 20 D) 18
 
Answer & Explanation Answer: C) 20

Explanation:

We know that 

40% = 40100 = 2525 x 244 x ? = 48? = 48 x 5 x 42 x 24 = 20

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Filed Under: Simplification
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3 67411
Q:

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

 

I . 11×3+13×5+15×7+...+111×13 = 1213

II. 11×2+12×3+13×4+...+112×13 = 1213

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

Explanation:
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