Searching for "If"

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 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). 

20-xx*100=25 

=> 2000 - 100x = 25x 

=> 125x=2000 

=> x=16

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Filed Under: Profit and Loss

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

Q:

If the cost of x metres of wire is d rupees, then what is the cost of y metres of wire at the same rate?

A) Rs. (xy/d) B) Rs. (xd)
C) Rs. (yd) D) Rs. (yd/x)
 
Answer & Explanation Answer: D) Rs. (yd/x)

Explanation:

Cost of x metres = Rs. d.

Cost of 1 metre = Rs.(d/x)

Cost of y metres = Rs.[(d/x).y] = Rs.(yd/x)

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Filed Under: Chain Rule

Q:

If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost?

A) 48 paise B) 54 paise
C) 56 paise D) 72 paise
 
Answer & Explanation Answer: A) 48 paise

Explanation:

Let the required weight be x kg.

 

 

 

Less weight, Less cost (Direct Proportion)

 

 

 

 250 : 200 :: 60 : x   =>    250 x x = (200 x 60)

 

 

 

=>

 

 

 

=> x = 48.

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Q:

If the price of 23 toys is 276, then what will the price of 12 toys ?

A) 144 B) 148
C) 156 D) 186
 
Answer & Explanation Answer: A) 144

Explanation:

Less toys, Less Price (Direct Proportion)
So, let the price be Rs. x
then,

             23:12::276:x    => x=(276*12)/23

                                    => x=144

So price of 12 toys will be Rs. 144

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Filed Under: Chain Rule