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CDS Exam ELEMENTARY MATHEMATICS Study Material

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Simplification

Simplify: √-50 + √-18 ? √-8

a) 8√2
b) 7√2
c) 6√2
d) 5√2

✔Answer

✔Solution

Correct Answer Is : 6√2

Solution Is : Given , √-50 + √-18 ? √-8 √25 x √-2 + √9 x √-2 - √4 x √-2 = 5x√-2 + 3x√-2 - 2 x √-2 = 6 √-2

Simplify (81 x2 - 49 y2 ) / ( 9x + 7y)

a) 9x + 7y
b) 9x - 7y
c) 9x
d) 7y

✔Answer

✔Solution

Correct Answer Is : 9x - 7y

Solution Is : Given 81 x2 - 49 y2 / 9x + 7y = 9² 72 y2 / 9x + 7y = ( 9x + 7y ) ( 9x - 7y ) / 9x + 7y = 9x - 7y

5. Find the value of
( ( 0.0112 - 0.0012 ) 0f 0.14 + 0.25 x 0.2 ) / ( 0.02 x 0.01)

a) 257
b) 25.7
c) 2.57
d) 0.0257

✔Answer

✔Solution

Correct Answer Is : 257

Solution Is : ( (0.0112 - 0.0012) 0f 0.14 + 0.25 x 0.2 ) / (0.02 x 0.01) ( 0.01 x 0.14 + 0.25x 0.2 ) / 0.0002 = ( 0.0014 + 0.05) / 0.0002 = 0.0514 / 0.0002 = 514 / 2 = 257

Simplify:
( 2 1/3 - 1 1/2 ) of 3/5 + 1 2/5 / 2 1/3

a) 1 / 10
b) 3 / 10
c) 1 1/10
d) 1

✔Answer

✔Solution

Correct Answer Is : 1 1/10

Solution Is : ( 2 1/3 - 1 1/2 ) of 3/5 + 1 2/5 / 2 1/3 = ( 7/3 - 3/2 ) * 3/5 + 7/5 / 7/3 = 14-9 /6 * 3/5 + 7/5 * 3/7 = 5/6 * 3/5 + 3/5 = 1/2 + 3/5 = 5 + 6 / 10 = 11 / 10 = 1 1/10

If ! = / , # = +, ^ =

a) 68
b) 61
c) 54
d) 65

✔Answer

✔Solution

Correct Answer Is : 61

Solution Is : Calculate the value of 32 ! 4 ^ 7 # 5 Given , ! = / , # = +, ^ = ? , 32 / 4 x 7 + 5 = 8 x 7 + 5 = 56 + 5 = 61

The correct Value of(0.01)+(0.01)² is

a) 0.0101
b) 0.1001
c) 0.0011
d) 0.0001

✔Answer

✔Solution

Correct Answer Is : 0.0101

Solution Is : (0.01)+(0.01)²=0.01+0.0001=0.0101

Following the equations are solved on the basis of a certain system. On the same basis find out the correct answer for the un solved equation.
8+5+3=358, 3+7+6=673, 4+7+6=?

a) 476
b) 674
c) 764
d) 746

✔Answer

✔Solution

Correct Answer Is : 476

Solution Is :

a) 1.04
b) 0.96
c) 0.92
d) 0.84

✔Answer

✔Solution

Correct Answer Is : 0.96

Solution Is :

√(√0.000064) is equal to

a) 0.0002
b) 0.002
c) 0.02
d) 0.2

✔Answer

✔Solution

Correct Answer Is : 0.2

Solution Is :

a)
b)
c)
d)

✔Answer

✔Solution

CDS Exam ELEMENTARY MATHEMATICS Study Material

Simplification

Simplify: √-50 + √-18 ? √-8

Correct Answer Is : 6√2

Solution Is : Given , √-50 + √-18 ? √-8 √25 x √-2 + √9 x √-2 - √4 x √-2 = 5x√-2 + 3x√-2 - 2 x √-2 = 6 √-2

Simplify (81 x2 - 49 y2 ) / ( 9x + 7y)

Correct Answer Is : 9x - 7y

Solution Is : Given 81 x2 - 49 y2 / 9x + 7y = 92 72 y2 / 9x + 7y = ( 9x + 7y ) ( 9x - 7y ) / 9x + 7y = 9x - 7y

5. Find the value of ( ( 0.0112 - 0.0012 ) 0f 0.14 + 0.25 x 0.2 ) / ( 0.02 x 0.01)

Correct Answer Is : 257

Solution Is : ( (0.0112 - 0.0012) 0f 0.14 + 0.25 x 0.2 ) / (0.02 x 0.01) ( 0.01 x 0.14 + 0.25x 0.2 ) / 0.0002 = ( 0.0014 + 0.05) / 0.0002 = 0.0514 / 0.0002 = 514 / 2 = 257

Simplify: ( 2 1/3 - 1 1/2 ) of 3/5 + 1 2/5 / 2 1/3

Correct Answer Is : 1 1/10

Solution Is : ( 2 1/3 - 1 1/2 ) of 3/5 + 1 2/5 / 2 1/3 = ( 7/3 - 3/2 ) * 3/5 + 7/5 / 7/3 = 14-9 /6 * 3/5 + 7/5 * 3/7 = 5/6 * 3/5 + 3/5 = 1/2 + 3/5 = 5 + 6 / 10 = 11 / 10 = 1 1/10

If ! = / , # = +, ^ =

Correct Answer Is : 61

Solution Is : Calculate the value of 32 ! 4 ^ 7 # 5 Given , ! = / , # = +, ^ = ? , 32 / 4 x 7 + 5 = 8 x 7 + 5 = 56 + 5 = 61

The correct Value of(0.01)+(0.01)2 is

Correct Answer Is : 0.0101

Solution Is : (0.01)+(0.01)2=0.01+0.0001=0.0101

Following the equations are solved on the basis of a certain system. On the same basis find out the correct answer for the un solved equation. 8+5+3=358, 3+7+6=673, 4+7+6=?

Correct Answer Is : 476

Solution Is :

Correct Answer Is : 0.96

Solution Is :

√(√0.000064) is equal to

Correct Answer Is : 0.2

Solution Is :

Correct Answer Is :

Solution Is :

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Academics

Competitive Exams

Govt. Jobs Exams

Solution Is : Given 81 x2 - 49 y2 / 9x + 7y = 9² 72 y2 / 9x + 7y = ( 9x + 7y ) ( 9x - 7y ) / 9x + 7y = 9x - 7y

5. Find the value of
( ( 0.0112 - 0.0012 ) 0f 0.14 + 0.25 x 0.2 ) / ( 0.02 x 0.01)

Simplify:
( 2 1/3 - 1 1/2 ) of 3/5 + 1 2/5 / 2 1/3

The correct Value of(0.01)+(0.01)² is

Solution Is : (0.01)+(0.01)²=0.01+0.0001=0.0101

Following the equations are solved on the basis of a certain system. On the same basis find out the correct answer for the un solved equation.
8+5+3=358, 3+7+6=673, 4+7+6=?