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Q:

Two positions of a block are shown below: When six is at the bottom, what number will be at the top?

A) 1 B) 2
C) 4 D) 5
 
Answer & Explanation Answer: D) 5

Explanation:

From figures (i) and (ii) we conclude that the number 1, 2, 3 and 4 appear adjacent to 6. Thus, the number 5 will appear opposite 6. Therefore, when six is at the bottom, then 5 will be at the top.

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Filed Under: Cubes and Dice

Q:

Observe the dots on a dice (one to six dots) in the following figures. How many dots are contained on the face opposite to that containing four dots?

A) 2 B) 3
C) 6 D) Cannot be determined
 
Answer & Explanation Answer: A) 2

Explanation:

We shall assume the dice in fig. (ii) to be rotated so that the 5 dots appear at the same position as in fig. (i) i.e. on RHS face (i.e. on face II as per activity 1) and 1 dot appears at the same position as in fig; (i) i.e. on Front face (i.e. on face I). Then, from the, two figures, 2 dots appear on the top face (i.e. on face V) and 4 dots appear on the Bottom face (i.e. on face VI).

 

Since, these two faces are opposite to each other, therefore, two dots are contained on the face opposite to that containing four dots.

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Filed Under: Cubes and Dice

Q:

The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

A) Rs. 2000 B) Rs. 2200
C) Rs. 2400 D) Data inadequate
 
Answer & Explanation Answer: A) Rs. 2000

Explanation:

Let C.P. be Rs. x.

 

Then,= >1920-xx*100=x-1280x*100

 

=>  1920 - x = x - 1280

 

=>  2x = 3200

 

=>  x = 1600

 

 Required S.P. = 125% of Rs. 1600 =Rs(125/100*1600) = Rs2000

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Filed Under: Profit and Loss

Q:

A pump can fill a tank with water in 2 hours. Because of a leak, it took 213 hours to fill the tank. The leak can drain all the water of the tank in:

A) 7 hours B) 8 hours
C) 12 hours D) 14 hours
 
Answer & Explanation Answer: D) 14 hours

Explanation:

If the total area of pump=1 part

The pumop take 2 hrs to fill 1 part 

The pumop take1 hour to fill 1/2 portion 

 

Due to lickage  

The pumop take 7/3 hrs to fill 1 part 

The pumop take1 hour to fill 3/7 portion 

Now the difference of area = (1/2-3/7)=1/14 

 

This 1/14 part of water drains in 1 hour 

Total area=1 part of water drains in (1x14/1)hours= 14 hours 

 

So the leak can drain all the water of the tank in 14 hours. 

Leak will empty the tank in 14 hrs

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Filed Under: Pipes and Cistern
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

Q:

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

A) 3 hrs 15 min B) 3 hrs 45 min
C) 4 hrs 15 min D) 4 hrs 1
 
Answer & Explanation Answer: B) 3 hrs 45 min

Explanation:

Time taken by one tap to fill half of the tank = 3 hrs.

 

  Part filled by the four taps in 1 hour =4*1/6 =2/3

 

Remaining part =1-12=12

 

23:12::1:x

 

=> x = 12*1*32=34

 

So, total time taken = 3 hrs. 45 mins.

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Filed Under: Pipes and Cistern

Q:

Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:

A) 10 B) 12
C) 14 D) 16
 
Answer & Explanation Answer: C) 14

Explanation:

Part filled in 2 hours = 2/6=1/3

 

Remaining part =1-13=23

 

 (A + B)'s 7 hour's work = 2/3

 

(A + B)'s 1 hour's work = 2/21

 

C's 1 hour's work = { (A + B + C)'s 1 hour's work } - { (A + B)'s 1 hour's work }

 

=1/6-2/21 = 1/14

 

C alone can fill the tank in 14 hours.

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Filed Under: Pipes and Cistern

Q:

 In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?

A) 1 B) 1/40
C) 40 D) 80
 
Answer & Explanation Answer: C) 40

Explanation:

Let the required number of days be x.

 

Less cows, More days (Indirect Proportion)

 

Less bags, Less days (Direct Proportion)

 

cows  1:40 :40:xbags   40:1 :40:x

 

1 x 40 x x = 40 x 1 x 40

 

=>  x = 40.

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Filed Under: Chain Rule

Q:

In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?

A) 50 B) 40
C) 30 D) 20
 
Answer & Explanation Answer: C) 30

Explanation:

There is a meal for 200 children. 150 children have taken the meal.

 

Remaining meal is to be catered to 50 children.

 

Now, 200 children = 120 men.

 

50 children = 12020050 =30men

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Filed Under: Chain Rule