Quantitative Aptitude - Arithmetic Ability Questions

Q:

In a simultaneous throw of two dice, what is the probability of getting a total of 7 ?

A) 1/6 B) 1/4
C) 1/20 D) 3/4
 
Answer & Explanation Answer: A) 1/6

Explanation:

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Filed Under: Probability

16 9417
Q:

When the price of whear was increased by 32%, a family reduced its consumption in such a way that the expenditure on wheat was only 10% more than before. If 30 kg per month were consumed before, find the new monthly consumption of family?

A) 27 kgs B) 25 kgs
C) 24 kgs D) 21 kgs
 
Answer & Explanation Answer: B) 25 kgs

Explanation:

Initial wheat per kg cost be Rs. 100

Then, monthly expenditure of the family = 30 x 100 = 3000

After increase in cost,

Let P be new monthly consumption of family.

P x 132 = 110/100 x 3000

=> P = 25 kg.

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Filed Under: Percentage
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7 9400
Q:

A supplier supplies cartridges to a news paper publishing house. He earns a profit of 25% by selling cartridges for Rs. 1540. Find the cost price of the Cartridges ?

A) Rs. 1100 B) Rs. 1793.4
C) Rs. 1440 D) Rs. 1232
 
Answer & Explanation Answer: D) Rs. 1232

Explanation:

Let Cost Price(C.P) = P
gain% = {(S.P-C.P)/C.P} x 100
25 = {(1540-P)/P} x 100
25/100 = (1540-P)/P
=> P = 4(1540)-4P
=> 5P = 4(1540)
=> P = 1232
So, Cost Price = Rs. 1232

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Filed Under: Profit and Loss
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11 9399
Q:

Two persons start running simultaneously around a circular track of length 600 m from the same point at speeds of 25 kmph and 35 kmph. When will they meet for the first time any where on the track  ?

A) 54 sec B) 36 sec
C) 72 sec D) 11 sec
 
Answer & Explanation Answer: B) 36 sec

Explanation:

Time taken to meet the first time = length of track/relative speed

 

Given the length of the track is 600 m

 

The relative speed = 25 + 35 = 60 kmph = 60 x 5/18 m

 

Therefore Time = 60025+35518= 600/60 x (18/5) = 36 sec.

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Filed Under: Time and Distance
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8 9386
Q:

A bag contains 12 white and 18 black balls. Two balls are drawn in succession without replacement. What is the probability that first is white and second is black?

A) 6/145 B) 36/145
C) 18/95 D) 12/145
 
Answer & Explanation Answer: B) 36/145

Explanation:
 

The probability that first ball is white:
=C112C130=1230=25


Since, the ball is not replaced; hence the number of balls left in bag is 29.
Hence the probability the second ball is black:
=C118C129=1829


Required probability =(25)×(1829)


=36/145

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10 9378
Q:

Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times taken to reach the destination would be (in minutes).

A) 18 min B) 30 min
C) 27 min D) 32 min
 
Answer & Explanation Answer: B) 30 min

Explanation:

Distance travelled by Ramu = 45 x 4 = 180 km

Somu travelled the same distance in 6 hours.

His speed = 180/6 = 30 km/hr

Hence in the conditional case, Ramu's speed = 45 - 9 = 36 km/hr and Somu's speed = 30 + 10 = 40km/hr.

Therefore travel time of Ramu and Somu would be 5 hours and 4.5 hours respectively.

Hence difference in the time taken = 0.5 hours = 30 minutes.

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Filed Under: Time and Distance
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6 9378
Q:

A man sells Rs.5000, 12 % stock at 156 and uinvests the proceeds parity in 8 % stock at 90 and 9 % stock at 108. He hereby increases his income by Rs. 70. How much of the proceeds were invested in each stock?

A) 4000 B) 4200
C) 4002 D) 4020
 
Answer & Explanation Answer: B) 4200

Explanation:

S.P of Rs. 5000 stock = Rs.156100*5000= Rs. 7800. 

 

Income from this stock = Rs.12100*5000 = Rs. 600.  

 

Let investment in 8 % stock be x and that in 9 % stock = (7800 - x).

 

Therefore,  

 

x*890+7800-x*9108=600+70  

 

4x45+7800-x12=670x=3600 

 

Therefore,  Money invested in 8 % stock at 90 = Rs. 3600.

 

Money invested in 9 % at 108 = Rs. (7800-3600) = Rs. 4200.

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Filed Under: Stocks and Shares

14 9363
Q:

The probability that a card drawn from a pack of 52 cards will be a diamond or a king, is

A) 5/12 B) 4/13
C) 5/13 D) 3/14
 
Answer & Explanation Answer: B) 4/13

Explanation:

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Filed Under: Probability

8 9361