The smallest among $\sqrt{\frac{1}{2}}, \sqrt{\frac{1}{3}}, \sqrt{\frac{1}{4}} a n d \sqrt{\frac{2}{3}}$ is [#1691]

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Q1. The smallest among $\sqrt{\frac{1}{2}}, \sqrt{\frac{1}{3}}, \sqrt{\frac{1}{4}} a n d \sqrt{\frac{2}{3}}$ is
Q1. 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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Q1. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :
Q1. 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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Q2. A number was increased by 40% and thereafter decreased by 40%. The net change in the number in percentage is
Q2. 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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Q3. The value of $\sqrt[3]{8^{2}}$ is
Q3. The value of $\sqrt[3]{8^{2}}$ is

(A) 1
(A) 1

(B) 3
(B) 3

(D) 4
(D) 4

Answer: (D) 4
Answer: (D) 4

\sqrt[3]{8^{2}}

\sqrt[3]{64}

\sqrt[3]{4^{3}}

= 4

\sqrt[3]{8^{2}}

\sqrt[3]{64}

\sqrt[3]{4^{3}}

= 4

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Q4. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$
Q4. 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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Q5. The sum of two numbers is 15 and the sum of their squares is 113. The numbers are
Q5. The sum of two numbers is 15 and the sum of their squares is 113. The numbers are

(A) 4 and 10
(A) 4 and 10

(B) 6 and 9
(B) 6 and 9

(D) 7 and 8
(D) 7 and 8

Answer: (D) 7 and 8
Answer: (D) 7 and 8

7 and 8

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2024-03-03

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Q6. The ratio of the number of boys and girls in a school of 720 students is 7 : 5. How many more girls should be admitted to make the ratio 1 : 1?
Q6. The ratio of the number of boys and girls in a school of 720 students is 7 : 5. How many more girls should be admitted to make the ratio 1 : 1?

(A) 60
(A) 60

(B) 120
(B) 120

(D) 240
(D) 240

Answer: (B) 120
Answer: (B) 120

120

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Q7. Find the odd number - 15, 17, 6, 12.
Q7. Find the odd number - 15, 17, 6, 12.

(A) 6
(A) 6

(B) 12
(B) 12

(D) 17
(D) 17

Answer: (D) 17
Answer: (D) 17

17 which is a Prime number.

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Q8. The price of an article is first decreased by 40% and then increased by 20%. The net change in the price will be :
Q8. The price of an article is first decreased by 40% and then increased by 20%. The net change in the price will be :

(A) 20%
(A) 20%

(B) 40%
(B) 40%

(D) 28%
(D) 28%

Answer: (D) 28%
Answer: (D) 28%

Net change (-40 + 20 +

\frac{(- 40) * 20}{100}

)% = (-20 +

\frac{- 800}{100}

)% = (-20 - 8)% = -28% = 28%

Net change (-40 + 20 +

\frac{(- 40) * 20}{100}

)% = (-20 +

\frac{- 800}{100}

)% = (-20 - 8)% = -28% = 28%

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2024-05-15

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Q9. The number when divided by 2, leaves remainder 1; when divided by 3, leaves remainder 2 and when divided by 4, leaves remainder 3, is
Q9. The number when divided by 2, leaves remainder 1; when divided by 3, leaves remainder 2 and when divided by 4, leaves remainder 3, is

(A) 25
(A) 25

(B) 41
(B) 41

(D) 11
(D) 11

Answer: (D) 11
Answer: (D) 11

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Q10. What is the name of the mathematical concept that describes a value that never changes, like the ratio of a circle's circumference to its diameter?
Q10. What is the name of the mathematical concept that describes a value that never changes, like the ratio of a circle's circumference to its diameter?

(A) Variable
(A) Variable

(B) Constant
(B) Constant

(D) Decimal
(D) Decimal

Answer: (B) Constant
Answer: (B) Constant

A constant is a mathematical concept that represents a value that remains unchanged, like pi (π), which is approximately 3.14 and never changes.

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The smallest among 12, 13, 14 and 23 is [#1691]

Q1. The smallest among 12, 13, 14 and 23 isQ1. The smallest among 12, 13, 14 and 23 is

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Related Questions

The smallest among $\sqrt{\frac{1}{2}}, \sqrt{\frac{1}{3}}, \sqrt{\frac{1}{4}} a n d \sqrt{\frac{2}{3}}$ is [#1691]

Q1. The smallest among $\sqrt{\frac{1}{2}}, \sqrt{\frac{1}{3}}, \sqrt{\frac{1}{4}} a n d \sqrt{\frac{2}{3}}$ is
Q1. The smallest among $\sqrt{\frac{1}{2}}, \sqrt{\frac{1}{3}}, \sqrt{\frac{1}{4}} a n d \sqrt{\frac{2}{3}}$ is

Q1. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :
Q1. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :

Q2. A number was increased by 40% and thereafter decreased by 40%. The net change in the number in percentage is
Q2. A number was increased by 40% and thereafter decreased by 40%. The net change in the number in percentage is

Q3. The value of $\sqrt[3]{8^{2}}$ is
Q3. The value of $\sqrt[3]{8^{2}}$ is

Q4. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$
Q4. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$

Q5. The sum of two numbers is 15 and the sum of their squares is 113. The numbers are
Q5. The sum of two numbers is 15 and the sum of their squares is 113. The numbers are

Q6. The ratio of the number of boys and girls in a school of 720 students is 7 : 5. How many more girls should be admitted to make the ratio 1 : 1?
Q6. The ratio of the number of boys and girls in a school of 720 students is 7 : 5. How many more girls should be admitted to make the ratio 1 : 1?

Q7. Find the odd number - 15, 17, 6, 12.
Q7. Find the odd number - 15, 17, 6, 12.

Q8. The price of an article is first decreased by 40% and then increased by 20%. The net change in the price will be :
Q8. The price of an article is first decreased by 40% and then increased by 20%. The net change in the price will be :

Q9. The number when divided by 2, leaves remainder 1; when divided by 3, leaves remainder 2 and when divided by 4, leaves remainder 3, is
Q9. The number when divided by 2, leaves remainder 1; when divided by 3, leaves remainder 2 and when divided by 4, leaves remainder 3, is