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Arithmetic Aptitude :: Simplification

Home > Arithmetic Aptitude > Simplification > General Questions

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71. if f(x) is a function for all real numbers x holds good for maximum of 2x+4 and 12+3x. Then what is the value of x so that f(x) is equal to 2x+4.

Explanation:

maximum (2x+4 ,12+3x)
and ques says maximum is 2x+4
if x= -9 2x+4 = -14 and 12+3x= -15 maximum is -14
Value of x = -9

Workspace

Tags:  TCS

72. If ab3133ab is divisible by 12.What is the minimum value of (a+b)?

Explanation:

The Trick is that we should check ab3133ab for its divisibility by 3

A number is divisible by 3 only when the sum of all the digits of that number is divisible by 3 so,

2a+2b+3+1+3+3 = 2a+2b+10 = 2(a+b)+10

Going by options only 4 and 7 satisfy

Then if we put 4 then also it's not divisible by 12 so the final answer is 7

Workspace

Tags:  TCS

73. A number lying between 1000 and 2000 is such that on division by 2, 3, 4,5,6,7 and 8 Leavers remainders 1, 2, 3, 4, 5,6and 7 respectively. The number is

Explanation:

LCM(2,3,4,5,6,7,8)= 1680
2-1=3-2=4-3=...=8-7=1
So, the number = 1680-1 = 1679

Workspace

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74. Simplify the below

5y-(4x+3y)-6x

Explanation:

5y-(4x+3y)-6x
= 5y-4x-3y-6x
= 2y-10x

Workspace

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75. (2/9+2/3)*2 1/4 /(5/6*5/12)

Explanation:

2/9+2/3=8/9
2 1/4=9/4
25/72
8/9*9/4*25/72=1

Workspace

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76. How many 1/15 are there in 243/5 ?

Explanation:

Solution : Just simply divide 243/5 by 1/15

Workspace

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77. If x+y+z=9 and both y and z are positive integers greater than zero, then the maximum value x can take is?

Explanation:

Acc. to the question y and z are positive integers greater than zero so taking the lowest possible value for them is 1 so putting y=z=1 in equation x+y+z=9 we get x value as 7 which is the maximum possible value of x.

Workspace

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78. [ 2/9 + 2/3 ]*2 1/4+5/6*5/12

Explanation:

[2+6 /9]*9/4 divide 5/6 * 5/12
8/9 *9/4 divide 5/6 *5/12
8/9 * 9/4 * 6/5 * 5/12=1

Workspace

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79. [6/4 + 4/9] of 3/4 divide 5/3 * 5/4 - 1/3

Explanation:

[6/4 + 4/9 ] of 3/4 divides 5/3 *5/4-1/3
=[35/18] of 3/4 divides 25/12-1/3
=35/24 divides 21/12
=35/24/21/12
=35/24*12/21
=5/6

Workspace

Tags:  iGate

80. If 13 = 13w/(1-w) ,then (2w)2 =

Explanation:

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

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