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. The difference between the smallest 3-digit even natural number and the largest 2-digit even natural number is
Q1. The difference between the smallest 3-digit even natural number and the largest 2-digit even natural number is

(A) 1
(A) 1

(B) 2
(B) 2

(D) 4
(D) 4

Answer: (B) 2
Answer: (B) 2

100 - 98 = 2

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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. If $\frac{X}{3} = \frac{Y}{4} = \frac{Z}{7}, t h e n \frac{X + Y + Z}{Z}$ is equal to
Q3. If $\frac{X}{3} = \frac{Y}{4} = \frac{Z}{7}, t h e n \frac{X + Y + Z}{Z}$ is equal to

(A) 2
(A) 2

(B) 3
(B) 3

(D) 5
(D) 5

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

\frac{X}{3} = \frac{Y}{4} = \frac{Z}{7}

Hence, X:Y:Z = 3:4:7

\frac{X + Y + Z}{Z}

\frac{3 + 4 + 7}{7}

\frac{14}{7}

= 2

\frac{X}{3} = \frac{Y}{4} = \frac{Z}{7}

Hence, X:Y:Z = 3:4:7

\frac{X + Y + Z}{Z}

\frac{3 + 4 + 7}{7}

\frac{14}{7}

= 2

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Q4. The ratio of the radii of two circles is 1 : 3. The ratio of their areas is
Q4. The ratio of the radii of two circles is 1 : 3. The ratio of their areas is

(A) 1:6
(A) 1:6

(B) 2:9
(B) 2:9

(D) 6:9
(D) 6:9

Answer: (C) 1:9
Answer: (C) 1:9

Area = πr² π1² : π3² = π1 : π9 = 1:9

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Q5. Which is the smallest Whole Number?
Q5. Which is the smallest Whole Number?

(A) -1
(A) -1

(B) 0
(B) 0

(D) 2
(D) 2

Answer: (B) 0
Answer: (B) 0

Zero

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2024-03-03

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Q6. In a school with 10 teachers, one retires and immediately a new teacher of age 25 years joins. As a result, the average age of the teacher reduces by 3. The age of the retired teacher is
Q6. In a school with 10 teachers, one retires and immediately a new teacher of age 25 years joins. As a result, the average age of the teacher reduces by 3. The age of the retired teacher is

(A) 55 years
(A) 55 years

(B) 65 years
(B) 65 years

(D) 60 years
(D) 60 years

Answer: (A) 55 years
Answer: (A) 55 years

25 years + (3*10) years = 55 years

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Q7. 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?
Q7. 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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Q8. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :
Q8. 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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Q9. 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 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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Q10. A lady deposits money in her savings bank in such a way that every next day her deposit amount is ₹ 12 more than her previous day deposit. If she starts her deposit with ₹ 12 on the first day, the total amount deposited by Liza at the end of 30 days will be :
Q10. A lady deposits money in her savings bank in such a way that every next day her deposit amount is ₹ 12 more than her previous day deposit. If she starts her deposit with ₹ 12 on the first day, the total amount deposited by Liza at the end of 30 days will be :

(A) 5,420
(A) 5,420

(B) 5,580
(B) 5,580

(D) 5,780
(D) 5,780

Answer: (B) 5,580
Answer: (B) 5,580

The formula for the sum of the first n terms of an arithmetic progression is

S_{n} = \frac{n}{2} (a + a n)

\frac{30}{2} (12 + 12 * 30)

= 15*(12+360) = 15 * 372 = 5580

The formula for the sum of the first n terms of an arithmetic progression is

S_{n} = \frac{n}{2} (a + a n)

\frac{30}{2} (12 + 12 * 30)

= 15*(12+360) = 15 * 372 = 5580

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Related Questions

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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. The difference between the smallest 3-digit even natural number and the largest 2-digit even natural number is
Q1. The difference between the smallest 3-digit even natural number and the largest 2-digit even natural 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. If $\frac{X}{3} = \frac{Y}{4} = \frac{Z}{7}, t h e n \frac{X + Y + Z}{Z}$ is equal to
Q3. If $\frac{X}{3} = \frac{Y}{4} = \frac{Z}{7}, t h e n \frac{X + Y + Z}{Z}$ is equal to

Q4. The ratio of the radii of two circles is 1 : 3. The ratio of their areas is
Q4. The ratio of the radii of two circles is 1 : 3. The ratio of their areas is

Q5. Which is the smallest Whole Number?
Q5. Which is the smallest Whole Number?

Q8. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :
Q8. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :

Q9. 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 price of an article is first decreased by 40% and then increased by 20%. The net change in the price will be :