When the numerator of a fraction increases by 3, the fraction increases by its three-fourth. The numerator of the fraction is [#1089]

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Q1. When the numerator of a fraction increases by 3, the fraction increases by its three-fourth. The numerator of the fraction is
Q1. When the numerator of a fraction increases by 3, the fraction increases by its three-fourth. The numerator of the fraction is

(A) 3
(A) 3

(B) 4
(B) 4

(D) 6
(D) 6

Answer: (B) 4
Answer: (B) 4

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Q1. The largest of 2⁶, 3⁵, 4⁴ and 5³ is
Q1. The largest of 2⁶, 3⁵, 4⁴ and 5³ is

(A) 2⁶
(A) 2⁶

(B) 3⁵
(B) 3⁵

(D) 5³
(D) 5³

Answer: (C) 4⁴
Answer: (C) 4⁴

2⁶ = 64 3⁵ = 243 4⁴ = 256 5³ = 125

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Q2. The price of an article is first decreased by 40% and then increased by 20%. The net change in the price will be :
Q2. 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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Q3. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :
Q3. 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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Q4. The simple interest earned by 4,000 in 18 months at 12% per annum is
Q4. The simple interest earned by 4,000 in 18 months at 12% per annum is

(A) 216
(A) 216

(B) 720
(B) 720

(D) 960
(D) 960

Answer: (B) 720
Answer: (B) 720

720

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Q5. Find the median of the data set.
Q5. Find the median of the data set.

1, 2, 4, 1, 5, 12, 7, 8, 5, 1, 16, 17, 12

1, 2, 4, 1, 5, 12, 7, 8, 5, 1, 16, 17, 12

(A) 8
(A) 8

(B) 7
(B) 7

(D) 4
(D) 4

Answer: (C) 5
Answer: (C) 5

1, 2, 4, 1, 5, 12, 7, 8, 5, 1, 16, 17, 12 = 1, 1, 1, 2, 4, 5, 5, 7, 8, 12, 12, 16, 17 Total numbers of values N = 13 Hence median value = (N + 1)/2 = (13 + 1)/2 = 7th 7th Number = 5

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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. What is the sum of the interior angles of a triangle?
Q7. What is the sum of the interior angles of a triangle?

(A) 180 degrees
(A) 180 degrees

(B) 270 degrees
(B) 270 degrees

(D) 450 degrees
(D) 450 degrees

Answer: (A) 180 degrees
Answer: (A) 180 degrees

The sum of the interior angles of a triangle is always 180 degrees, a fundamental principle in geometry.

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Q8. p, q, r are three numbers such that the LCM of p and q is q and the LCM of q and r is r. The LCM of p, q and r will be
Q8. p, q, r are three numbers such that the LCM of p and q is q and the LCM of q and r is r. The LCM of p, q and r will be

(A) q
(A) q

(B) r
(B) r

(D) pqr
(D) pqr

Answer: (B) r
Answer: (B) r

LCM will be r. px= q and qy = r, hence r = pxy.

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Q9. 3/4 of a number is 19 less than the original number. The number is
Q9. 3/4 of a number is 19 less than the original number. The number is

(A) 62
(A) 62

(B) 64
(B) 64

(D) 76
(D) 76

Answer: (D) 76
Answer: (D) 76

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Q10. A number was increased by 40% and thereafter decreased by 40%. The net change in the number in percentage is
Q10. 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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When the numerator of a fraction increases by 3, the fraction increases by its three-fourth. The numerator of the fraction is [#1089]

Q1. When the numerator of a fraction increases by 3, the fraction increases by its three-fourth. The numerator of the fraction isQ1. When the numerator of a fraction increases by 3, the fraction increases by its three-fourth. The numerator of the fraction is

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