If 2^x = 32, then the value of x is [#1705]

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Q1. If 2^x = 32, then the value of x is
Q1. If 2^x = 32, then the value of x is

(A) 4
(A) 4

(B) 5
(B) 5

(D) 7
(D) 7

Answer: (B) 5
Answer: (B) 5

2⁵ = 2*2*2*2*2 = 32

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Q1. The count of prime numbers between 80 and 100 is
Q1. The count of prime numbers between 80 and 100 is

(A) 2
(A) 2

(B) 5
(B) 5

(D) 4
(D) 4

Answer: (C) 3
Answer: (C) 3

Prime numbers are numbers that are only divisible by 1 and themselves. Between 80 and 100, the prime numbers are 83, 89, and 97. Therefore, there are 3 prime numbers in this range.

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Q2. A number is as much greater than 31 as is less 55. Then the number is
Q2. A number is as much greater than 31 as is less 55. Then the number is

(A) 39
(A) 39

(B) 32
(B) 32

(D) 47
(D) 47

Answer: (C) 43
Answer: (C) 43

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Q3. The conversion of $0.0 \bar{37}$ in the fractional form is
Q3. The conversion of $0.0 \bar{37}$ in the fractional form is

(A)

\frac{37}{100}

(A)

\frac{37}{100}

(B)

\frac{37}{999}

(B)

\frac{37}{999}

(C)

\frac{37}{990}

(C)

\frac{37}{990}

(D)

\frac{37}{1000}

(D)

\frac{37}{1000}

Answer: (C)

\frac{37}{990}

Answer: (C)

\frac{37}{990}

\frac{37}{990}

\frac{37}{990}

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Q4. If the average age of A, B and C is 22 years and the average age of B and C is 25 years, then find the age of A after 9 years from now.
Q4. If the average age of A, B and C is 22 years and the average age of B and C is 25 years, then find the age of A after 9 years from now.

(A) 25 years
(A) 25 years

(B) 35 years
(B) 35 years

(D) 45 years
(D) 45 years

Answer: (A) 25 years
Answer: (A) 25 years

25 years => A+B+C = 22*3 => A+(B+C) = 66 => A+(25*2) = 66 => A = 66-50 => A = 16 After 9 years A = 16+9 = 25 years

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Q5. The sum of the four consecutive alternate numbers is 64. The smallest number amongst them is
Q5. The sum of the four consecutive alternate numbers is 64. The smallest number amongst them is

(A) 13
(A) 13

(B) 11
(B) 11

(D) 9
(D) 9

Answer: (A) 13
Answer: (A) 13

The smallest number amongst them is 13 => X + (X+2) + (X+4) + (X+6) = 64 => 4X + 12 = 64 => 4X = 64 - 12 => 4X = 52 => X = 13

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Q6. The smallest among $\sqrt{\frac{1}{2}}, \sqrt{\frac{1}{3}}, \sqrt{\frac{1}{4}} a n d \sqrt{\frac{2}{3}}$ is
Q6. The smallest among $\sqrt{\frac{1}{2}}, \sqrt{\frac{1}{3}}, \sqrt{\frac{1}{4}} a n d \sqrt{\frac{2}{3}}$ is

(A)

\sqrt{\frac{1}{2}}

(A)

\sqrt{\frac{1}{2}}

(B)

\sqrt{\frac{1}{3}}

(B)

\sqrt{\frac{1}{3}}

(C)

\sqrt{\frac{1}{4}}

(C)

\sqrt{\frac{1}{4}}

(D)

\sqrt{\frac{2}{3}}

(D)

\sqrt{\frac{2}{3}}

Answer: (C)

\sqrt{\frac{1}{4}}

Answer: (C)

\sqrt{\frac{1}{4}}

\sqrt{\frac{1}{4}}

\sqrt{\frac{1}{4}}

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Q7. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$
Q7. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$

(A)

\frac{- 5}{9}

(A)

\frac{- 5}{9}

(B)

\frac{- 7}{12}

(B)

\frac{- 7}{12}

(C)

\frac{- 20}{27}

(C)

\frac{- 20}{27}

(D)

\frac{- 11}{36}

(D)

\frac{- 11}{36}

Answer: (D)

\frac{- 11}{36}

Answer: (D)

\frac{- 11}{36}

\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}

\sqrt{\frac{15 * 15}{27 * 27}} - \sqrt{\frac{5 * 5}{12 * 12}} - \sqrt{\frac{4 * 4}{9 * 9}}

\frac{15}{27} - \frac{5}{12} - \frac{4}{9}

\frac{60 - 45 - 48}{108}

\frac{- 33}{108}

\frac{- 11}{36}

\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}

\sqrt{\frac{15 * 15}{27 * 27}} - \sqrt{\frac{5 * 5}{12 * 12}} - \sqrt{\frac{4 * 4}{9 * 9}}

\frac{15}{27} - \frac{5}{12} - \frac{4}{9}

\frac{60 - 45 - 48}{108}

\frac{- 33}{108}

\frac{- 11}{36}

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Q8. A number was increased by 40% and thereafter decreased by 40%. The net change in the number in percentage is
Q8. A number was increased by 40% and thereafter decreased by 40%. The net change in the number in percentage is

(A) 16% increase
(A) 16% increase

(B) 16% decrease
(B) 16% decrease

(D) No change
(D) No change

Answer: (B) 16% decrease
Answer: (B) 16% decrease

16% decrease = 40-40-

\frac{40 * 40}{100}

% = -

\frac{1600}{100}

% = -16%

16% decrease = 40-40-

\frac{40 * 40}{100}

% = -

\frac{1600}{100}

% = -16%

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Q9. What is the value of x in the equation 2x + 5 = 11?
Q9. What is the value of x in the equation 2x + 5 = 11?

(A) 2
(A) 2

(B) 3
(B) 3

(D) 5
(D) 5

Answer: (B) 3
Answer: (B) 3

To solve for x, subtract 5 from both sides of the equation, resulting in 2x = 6. Then, divide both sides by 2, giving x = 3.

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Q10. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :
Q10. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :

(A) 2 : 3
(A) 2 : 3

(B) 3 : 5
(B) 3 : 5

(D) 2 : 5
(D) 2 : 5

Answer: (A) 2 : 3
Answer: (A) 2 : 3

\frac{45}{100} * X = \frac{30}{100} * Y

\frac{X}{Y} = \frac{30 * 100}{100 * 45}

\frac{X}{Y} = \frac{2}{3}

= X:Y = 2:3

\frac{45}{100} * X = \frac{30}{100} * Y

\frac{X}{Y} = \frac{30 * 100}{100 * 45}

\frac{X}{Y} = \frac{2}{3}

= X:Y = 2:3

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If 2x = 32, then the value of x is [#1705]

Q1. If 2x = 32, then the value of x isQ1. If 2x = 32, then the value of x is

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If 2^x = 32, then the value of x is [#1705]

Q1. If 2^x = 32, then the value of x is
Q1. If 2^x = 32, then the value of x is

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Q1. The count of prime numbers between 80 and 100 is

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Q2. A number is as much greater than 31 as is less 55. Then the number is

Q3. The conversion of $0.0 \bar{37}$ in the fractional form is
Q3. The conversion of $0.0 \bar{37}$ in the fractional form is

Q4. If the average age of A, B and C is 22 years and the average age of B and C is 25 years, then find the age of A after 9 years from now.
Q4. If the average age of A, B and C is 22 years and the average age of B and C is 25 years, then find the age of A after 9 years from now.

Q5. The sum of the four consecutive alternate numbers is 64. The smallest number amongst them is
Q5. The sum of the four consecutive alternate numbers is 64. The smallest number amongst them is

Q6. The smallest among $\sqrt{\frac{1}{2}}, \sqrt{\frac{1}{3}}, \sqrt{\frac{1}{4}} a n d \sqrt{\frac{2}{3}}$ is
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Q7. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$
Q7. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$

Q8. A number was increased by 40% and thereafter decreased by 40%. The net change in the number in percentage is
Q8. A number was increased by 40% and thereafter decreased by 40%. The net change in the number in percentage is

Q9. What is the value of x in the equation 2x + 5 = 11?
Q9. What is the value of x in the equation 2x + 5 = 11?

Q10. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :
Q10. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :