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Q:

Two boys are playing on a ground. Both the boys are less than 10 years old. Age of the younger boy is equal to the cube root of the product of the age of the two boys. If we place the digit representing the age of the younger boy to the left of the digit representing the age of the elder boy, we get the age of the father of the younger boy. Similarly, we place the digit representing the age of the elder boy to the left of the digit representing the age of the younger boy and divide the figure by 2, we get the age of the mother of the younger boy. The mother of the younger boy is younger than his father by 3 years. Then, what are the ages of elder and younger boys ?

A) E = 15 & Y = 3 B) E = 14 & Y = 12
C) E = 40 & Y = 22 D) E = 4 & Y = 2
 
Answer & Explanation Answer: D) E = 4 & Y = 2

Explanation:

Let the the age of the elder boy = E

 

Let the the age of the younger boy = Y

 

Given that Y = cube root of EY

 


=> Y3 = EY => E = Y2 .....(1)
By the condition of number replacement the age of the father is YE

 

The Mother's age = EY/2

 

But she is 3 years less than father => EY/2 + 3 = YE
2YE = EY + 6 ......(2)

 

Then now from the given options we can identify which satisfies the all the conditions.

 

Here Y =2 and E = 4 satisfies all the conditions.

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Filed Under: Problems on Ages
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8 8499
Q:

The first 8 alphabets are written down at random. what is the probability that the letters b,c,d,e always come together ?

A) 1/7 B) 8!
C) 7! D) 1/14
 
Answer & Explanation Answer: D) 1/14

Explanation:

The 8 letters can be written in 8! ways.
n(S) = 8!
Let E be the event that the letters b,c,d,e always come together when the first 8 alphabets are written down.
Now the letters a, (bcde), f, g and h can be arranged in 5! ways.
The letters b,c,d and e can be arranged themselves in 4! ways.
n(E) = 5! x 4!
Now, the required P(E) = n(E)/n(S) = 5! x 4!/8! = 1/14
Hence the answer is 1/14. 

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Filed Under: Probability
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15 8496
Q:

Consider the given statement and decide which of the given assumptions is/are implicit.

Statement :
The train fares have increased by 25% with immediate effect.

Assumptions :
1. People still prefer travelling by train despite the increase.
2. Other modes of commutation may also increase their fares.

 

 

A) Only assumption 2 is implicit B) Neither assumption 1 nor 2 is implicit
C) Only assumption 1 is implicit D) Both assumptions 1 and 2 are implicit
 
Answer & Explanation Answer: C) Only assumption 1 is implicit

Explanation:
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Filed Under: Statement and Assumptions
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1 8496
Q:

One who dies for a noble cause

A) Martyr B) Pilgrim
C) Astronomer D) Pantomath
 
Answer & Explanation Answer: A) Martyr

Explanation:

One who dies for a noble cause is called a martyr. He is a person who dies fighting for what they believe in like advocating religious or other beliefs, refusing to renounce, etc...

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Filed Under: English
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10 8494
Q:

How many number of weights do you need to weight 31 kg of Rice if you have one kg of weight stone ?

A) 3 B) 5
C) 7 D) 9
 
Answer & Explanation Answer: B) 5

Explanation:

There are total 5 ways.
we have only one kg of weight so,
2kg = 1kg + 1kg
4kg = 1 + 2 + 1
8kg = 1 + 2 + 4 + 1
16kg = 1 + 2 + 4 + 8 + 1
31kg = 1 + 2 + 4 + 8 + 16
So 5 weights are needed.

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Filed Under: Arithmetical Reasoning
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11 8489
Q:

A button that makes characters either upper or lower case and numbers to symbols___

A) Shift B) Ctrl
C) Space bar D) Back space
 
Answer & Explanation Answer: A) Shift

Explanation:
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Filed Under: Computer
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10 8488
Q:

When was Uttarakhand separated from Uttar pradesh to form new state ?

A) 1997 B) 1998
C) 1999 D) 2000
 
Answer & Explanation Answer: D) 2000

Explanation:
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Filed Under: Indian Geography
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23 8485
Q:

Which gas is known as "Fuel of Future" ?

A) Methane B) Oxygen
C) Neon D) Hydrogen
 
Answer & Explanation Answer: D) Hydrogen

Explanation:

Because of its being pollution free and  combustion efficient, Hydrogen gas is  called fuel of future. Because of its origin in marshy places, Methane is called as 'Marsh Gas'.

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Filed Under: Chemistry
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37 8476