The conversion of $0.0 \bar{37}$ in the fractional form is [#1032]

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Q1. The conversion of $0.0 \bar{37}$ in the fractional form is
Q1. 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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Q1. If $\frac{X}{3} = \frac{Y}{4} = \frac{Z}{7}, t h e n \frac{X + Y + Z}{Z}$ is equal to
Q1. 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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Q2. A number when divided by 6 is diminished by 40. The number is
Q2. A number when divided by 6 is diminished by 40. The number is

(A) 72
(A) 72

(B) 48
(B) 48

(D) 84
(D) 84

Answer: (B) 48
Answer: (B) 48

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Q3. The smallest positive integer that is simultaneously divisible by 6, 8 and 12 is
Q3. The smallest positive integer that is simultaneously divisible by 6, 8 and 12 is

(A) 24
(A) 24

(B) 18
(B) 18

(D) 36
(D) 36

Answer: (A) 24
Answer: (A) 24

6*4 = 24 8*3 = 24 12*2 = 24

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Q4. 100% of 100 when added to 200% of 200 would result
Q4. 100% of 100 when added to 200% of 200 would result

(A) 300
(A) 300

(B) 400
(B) 400

(D) 600
(D) 600

Answer: (C) 500
Answer: (C) 500

100 * 100% + 200 * 200% =

100 \times \frac{100}{100} + 200 \times \frac{200}{100}

\frac{10000}{100} + \frac{40000}{100}

= 100 + 400 = 500

100 * 100% + 200 * 200% =

100 \times \frac{100}{100} + 200 \times \frac{200}{100}

\frac{10000}{100} + \frac{40000}{100}

= 100 + 400 = 500

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Q5. 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
Q5. 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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Q6. Three numbers are in the ratio 3:4:5. The sum of the largest and the smallest equals the sum of the third and 52. The smallest number is
Q6. Three numbers are in the ratio 3:4:5. The sum of the largest and the smallest equals the sum of the third and 52. The smallest number is

(A) 48
(A) 48

(B) 36
(B) 36

(D) 30
(D) 30

Answer: (C) 39
Answer: (C) 39

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Q7. The conversion of $0.0 \bar{37}$ in the fractional form is
Q7. 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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Q8. A 20 m long ladder is leaning on a vertical wall. It makes an angle of 30° with the ground. The height of the point the ladder touches wall is
Q8. A 20 m long ladder is leaning on a vertical wall. It makes an angle of 30° with the ground. The height of the point the ladder touches wall is

(A) 10 m
(A) 10 m

(B) 17.32 m
(B) 17.32 m

(D) 13 m
(D) 13 m

Answer: (A) 10 m
Answer: (A) 10 m

10 m

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Q9. The ratio of the radii of two circles is 1 : 3. The ratio of their areas is
Q9. 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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Q10. ‘A’ starts his journey at 1:00 p.m. from a location P with a speed of 1 m/sec. ‘B’ starts his journey from the same location P and along the same direction at 1:10 p.m. with a speed of 2 m/sec. If ‘B’ meets ‘A’ at the location Q, then the distance PQ is :
Q10. ‘A’ starts his journey at 1:00 p.m. from a location P with a speed of 1 m/sec. ‘B’ starts his journey from the same location P and along the same direction at 1:10 p.m. with a speed of 2 m/sec. If ‘B’ meets ‘A’ at the location Q, then the distance PQ is :

(A) 1.5 km
(A) 1.5 km

(B) 1.75 km
(B) 1.75 km

(D) 1.25 km
(D) 1.25 km

Answer: (C) 1.2 km
Answer: (C) 1.2 km

A starts journey before B at a speed of 1 m/s. Hence A will be ahead of B (10*60)s * 1m/s = 600m Let A covers a distance of X after starting of B, Then X + 600m = 2X => 2X - X = 600m => X = 600m Hence B will cover a distance of 2X = 2 * 600m = 1200m = 1.2 km

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The conversion of 0.037− in the fractional form is [#1032]

Q1. The conversion of 0.037− in the fractional form isQ1. The conversion of 0.037− in the fractional form is

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The conversion of $0.0 \bar{37}$ in the fractional form is [#1032]

Q1. The conversion of $0.0 \bar{37}$ in the fractional form is
Q1. The conversion of $0.0 \bar{37}$ in the fractional form is

Q1. If $\frac{X}{3} = \frac{Y}{4} = \frac{Z}{7}, t h e n \frac{X + Y + Z}{Z}$ is equal to
Q1. If $\frac{X}{3} = \frac{Y}{4} = \frac{Z}{7}, t h e n \frac{X + Y + Z}{Z}$ is equal to

Q2. A number when divided by 6 is diminished by 40. The number is
Q2. A number when divided by 6 is diminished by 40. The number is

Q3. The smallest positive integer that is simultaneously divisible by 6, 8 and 12 is
Q3. The smallest positive integer that is simultaneously divisible by 6, 8 and 12 is

Q4. 100% of 100 when added to 200% of 200 would result
Q4. 100% of 100 when added to 200% of 200 would result

Q5. 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
Q5. 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

Q6. Three numbers are in the ratio 3:4:5. The sum of the largest and the smallest equals the sum of the third and 52. The smallest number is
Q6. Three numbers are in the ratio 3:4:5. The sum of the largest and the smallest equals the sum of the third and 52. The smallest number is

Q7. The conversion of $0.0 \bar{37}$ in the fractional form is
Q7. The conversion of $0.0 \bar{37}$ in the fractional form is

Q8. A 20 m long ladder is leaning on a vertical wall. It makes an angle of 30° with the ground. The height of the point the ladder touches wall is
Q8. A 20 m long ladder is leaning on a vertical wall. It makes an angle of 30° with the ground. The height of the point the ladder touches wall is

Q9. The ratio of the radii of two circles is 1 : 3. The ratio of their areas is
Q9. The ratio of the radii of two circles is 1 : 3. The ratio of their areas is