29-09-2021 Answers

 1. Find the value of the below expression.


Answer: None of these

Solution: As answer is 0.63. The value is √(16/40) = √(4/10)

= √(0.4) = 0.63 approx


2. Find the value of the below expression.


Answer:17

Solution: The expression becomes SQRT(280 + SQRT(69+12))

= √(280+9) = 17


3. Find the value of a based on the below expression.


Answer: 28

Solution: 84 = 2*2*3*7

So a = 2*2*3*7*2*2*3*7/(18*14) = 28


4. Find the value of the below expression.


Answer: 35/3

Solution: Multiply numerator and denominator with 100000.

The expression becomes √(19600/144)

= 140/12 = 35/3


5. Find the value of the below expression.


Answer: 2.12

Solution: The value is 0.1 + 0.9 + 1.1 + 0.02 = 2.12


6. Find the value of the below expression.


Answer: 2/3

Solution: Sqrt(64/729) = 8/27

Cuberoot(8/27) = 2/3


7. If a=5, what is the value of the below expression?


Answer: 500

Solution: a^3 - a^2 = 125-25 = 100

So the expression becomes 10*5*√(100) = 50*10 = 500


8. Find the value of the expression below.


Answer: 9/4

Solution: The expression becomes √((5*16+1)/16)

= √(81/16) = 9/4


9. What number should be divided by √0.25 to give the result as 25 ?

Answer: 12.5

Solution: Let the number be x.

SQRT(0.25) = 0.5, x/0.5 = 25; x=12.5


10. Find the value of m and n based on the equation given below. (m,n are positive integers)


Answer: 8,5

Solution: (m-1)(n+2) = 49.

Going through the options, m=8 and n=5 is the answer.


11. Find the value of the below expression.


Ans: 0.3

√(√(0.0081)) = √(0.09) = 0.3


12. Find the value of m, if https://cdn.skillrack.com/exhibit/questionv2/1421131446692/sqrt5.png

Ans: 6

4^3 = 64,

So m=6 so that √(4^6) = 4^3


13. Find the value of the below expression.


Answer: 4/9

Solution: The expression becomes √((25-9)/81)

= √(16/81) = 4/9


14. (REF=25934) :

Find the value of the below expression.


Answer: 16/3

Solution: Squaring the value is 3 + 1/3 + 2 * √(3) * 1/√(3)

= 3 + 1/3 + 2 = 5 + 1/3 = 16/3


15. Find the value of m based on the equation given below.


Answer: 25

Solution: 1 + m/144 = 169/144,

144 + m = 169, m=25


16. The square root of  272^2 - 128^2 is

Answer: 240

a^2 - b^2 = (a+b)(a-b)

The expression becomes √((272+128)(272-128))

= √(400*144) = 20*12 = 240


17. Find the value of x based on the equation below.


Ans: 8.1

32.4/x = 4, x = 32.4/4 = 8.1


18. Find the value of m based on the below expression.


Answer: 9

Solution: 5^3 = 125.

So m=9 so that CUBEROOT(5^9) = 5^3


19. Find the value of the expression given below.


Answer: 1.6

The expression can be written as cuberoot(512/125)

= Cuberoot(8^3/5^3) = 8/5 = 1.6


20. If 0.13 / m^2 = 13, then m is

Answer: 0.1

m^2 = 0.13/13 = 1/100

m = 1/10 = 0.1

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