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Q:

Four usual dice are thrown on the ground. The total of numbers on the top faces of these four dice is 13 as the top faces showed 4, 3, 1 and 5 respectively. What is the total of the faces touching the ground?

A) 12	B) 13
C) 15	D) Cannot be determined

Answer & Explanation Answer: C) 15

Explanation:

In a usual dice, the sum of the numbers on any two opposite faces is always 7. Thus, 1 is opposite 6, 2 is opposite 5 and 3 is opposite 4.

Consequently, when 4, 3, 1 and 5 are the numbers on the top faces, then 3, 4, 6 and 2 respectively are the numbers on the face touching the ground. The total of these numbers = 3 + 4 + 6 + 2 = 15.

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Filed Under: Cubes and Dice

Q:

A cube has six different symbols drawn over its six faces. The symbols are dot, circle, triangle, square, cross and arrow. Three different positions of the cube are shown in figures X, Y, and Z.

Which symbol is opposite the dot?

A) Circle	B) Triangle
C) Arrow	D) Cross

Answer & Explanation Answer: D) Cross

Explanation:

From figures X and Y, we conclude that dot, circle, square and cross lie adjacent to the triangle. Therefore, the arrow must lie opposite the triangle. From figures X and Z, we conclude that dot, triangle, arrow and cross lie adjacent to the circle. Therefore, the square must lie opposite the circle. Thus, the arrow lies opposite the triangle, the square lies opposite the circle and consequently, the cross lies opposite the dot.

As analysed above, the cross lies opposite the dot.

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Filed Under: Cubes and Dice

Q:

A dice is numbered from 1 to 6 in different ways.

If 1 is opposite to 5 and 2 is opposite to 3, then

A) 4 is adjacent to 3 and 6	B) 2 is adjacent to 4 and 6
C) 4 is adjacent to 5 and 6	D) 6 is adjacent to 3 and 4

Answer & Explanation Answer: B) 2 is adjacent to 4 and 6

Explanation:

If 1 is opposite to 5 and 2 is opposite to 3, then 4 definitely lies opposite to 6. Therefore, 2 cannot lie opposite to any of the two numbers - 4 or 6. Hence, 2 necessarily lies adjacent to both 4 and 6.

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Filed Under: Cubes and Dice

Q:

What will be the number at the bottom, if 5 is at the top; the two positions of the dice being as given below:

A) 1	B) 2
C) 3	D) 6

Answer & Explanation Answer: B) 2

Explanation:

From figures (i) and (ii), it is clear that 4, 1, 3 and 6 he adjacent to 2. Therefore, 5 must lie opposite 2. Thus, if 5 is at the top, then 2 must be at the bottom.

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Filed Under: Cubes and Dice

Q:

A dice is numbered from 1 to 6 in different ways.

If 1 is adjacent to 2, 3 and 5, then which of the following statements is necessarily true?

A) 4 is adjacent to 6	B) 2 is adjacent to 5
C) 1 is adjacent to 6	D) 1 is adjacent to 4

Answer & Explanation Answer: A) 4 is adjacent to 6

Explanation:

If 1 is adjacent to 2, 3 and 5, then either 4 or 6 lies opposite to 1. So, the numbers 4 and 6 cannot lie opposite to each other. Hence, 4 necessarily lies adjacent to 6.

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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,= > $\frac{1920 - x}{x} * 100 = \frac{x - 1280}{x} * 100$

=> 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:

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

A) 15	B) 16
C) 18	D) 25

Answer & Explanation Answer: B) 16

Explanation:

Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.

S.P. of x articles = Rs. 20.

Profit = Rs. (20 - x).

$(\frac{20 - x}{x} * 100 = 25)$

=> 2000 - 100x = 25x

=> 125x=2000

=> x=16

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Filed Under: Profit and Loss

Q:

Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?

A) 10 min. 20 sec.	B) 11 min. 45 sec.
C) 12 min. 30 sec.	D) 14 min. 40 sec.

Answer & Explanation Answer: D) 14 min. 40 sec.

Explanation:

Part filled in 4 minutes =4(1/15+1/20) = 7/15

Remaining part =(1-7/15) = 8/15

Part filled by B in 1 minute =1/20 : 8/15 :: 1:x

x = (8/15*1*20) = $10 \frac{2}{3} m i n = 10 m i n 40 s e c$

The tank will be full in (4 min. + 10 min. + 40 sec.) = 14 min. 40 sec

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Filed Under: Pipes and Cistern

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