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# Simplification Questions

Home > Quantitative Aptitude > Simplification > General Questions
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Choose the correct option.

The age of the grand father is the sum of his three grandsons.The second is 2 year younger than first one and the third one is 2 year younger than the second one. Then what will be the age of the grandfather?

A3 times as older as his second grandson

B2 times as older as his second grandson

C4 times as older as his second grandson

DNone of these

Explanation:

Lets assume second grandson = x year.
So, first grandson age = (x+2) year ,
third grandson = (x-2) year
So, x+2+x+x-2=3x
i.e grandfather age is 3 times as older as his second grandson

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If x(a) = a^2+2a-1, then x(8)-x(5) =

A43

B45

C14

D3

Explanation:

x(8) = 64 + 16 - 1 = 79
x(5) = 25 + 10 - 1 = 34
So, x(8)-x(5) = 79 - 34 = 45

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If 3/p = 6 and 3/q = 15 then p - q = ?

A1/3

B2/5

C3/10

DNone of these

Explanation:

Given, p=1/2,q=1/5
So, p-q = (3/6 - 3/15) = (1/2 - 1/5) = 3/10

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Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?

A1 year

B2 years

C25 years

Explanation:

As per question R > Q > T
So, R - Q = Q - T and R + T = 50
By solving above 2 condition.
=> Q = 25
As the difference between R & Q and Q & T is same
So it is 25 years

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If 2x+y = 11, 2y+z = 12 and z+2x = 8, find the value of 2x + 3y +4z.

A29

B33

C25

D39

Explanation:

Without Finding x & y & z
2x+y = 11 -->(1) 2y+z = 12 -->(2) z+2x = 8 ---> (3)
(2)* 2=> 4y+2z=24-----(A)
(3)* 2=> 2z+4x=16-----(B)
(1)*-1=> -2x-y =-11-----(C)
2x + 3y +4z=29

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5/11 of the paper produced can be recycled if 6,42,400 tonnes of paper is produced. what quantity of recycle of paper can be made after its use?

A3,92,000 tonnes

B2,92,000 tonnes

C1,92,000 tonnes

D4,92,000 tonnes

Explanation:

642400*5/11=292000

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If 13 = 13w/(1-w) ,then (2w)2 =

A1/4

B1/2

C1

D2

Explanation:

13 = 13w/(1-w)  solving this we get w=1/2

now finding the value of the square of 2w that is 1

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Consider the following two curves in the X-Y plane.
y = x^3 + x^2 + 5
y = x^2 + x + 5
Which of the following statements is true for -2 < x < 2?

AThe two curves do not intersect.

BThe two curves intersect thrice.

CThe two curves intersect twice.

DThe two curves intersect once.

ENone of the above

Explanation:

Here x^3 + x^2 + 5 = x^2 + x + 5
=> x^3 - x = 0
Factor: x(x^2 - 1) = 0
Factor: x(x+1)(x-1) = 0
x= -1, 0, 1
Three points of intersection.

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