Three numbers are in the ratio 3:4:6 and their product is 1944. The largest of the numbers is. [#897]

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Q1. Three numbers are in the ratio 3:4:6 and their product is 1944. The largest of the numbers is.
Q1. Three numbers are in the ratio 3:4:6 and their product is 1944. The largest of the numbers is.

(A) 21
(A) 21

(B) 12
(B) 12

(D) 9
(D) 9

Answer: (C) 18
Answer: (C) 18

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@897

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2024-03-03

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(D) 45
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Q2. A ladder of length 13 m is leaning against a vertical wall with the upper end at the height of 5 m. The horizontal distance between the foot of the wall and the lower end of the ladder is
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(A) 9m
(A) 9m

(B) 5m
(B) 5m

(D) 12m
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Answer: (D) 12m
Answer: (D) 12m

5² + X² = 13² => 25 + X² = 169 => X² = 196 - 25 => X² = 144 => X = 12

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

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

(A)

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

(B)

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

(B)

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

(C)

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

(D)

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

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Answer: (C)

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

Answer: (C)

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

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Q5. 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
Q5. 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
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(D) 13 m
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Answer: (A) 10 m
Answer: (A) 10 m

10 m

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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
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Answer: (A) 55 years
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25 years + (3*10) years = 55 years

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Q7. 100% of 100 when added to 200% of 200 would result
Q7. 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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Q8. The sum of first 6 prime numbers is
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(A) 40
(A) 40

(B) 43
(B) 43

(D) 42
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Answer: (C) 41
Answer: (C) 41

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Q9. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :
Q9. 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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Q10. The conversion of $0.0 \bar{37}$ in the fractional form is
Q10. 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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Three numbers are in the ratio 3:4:6 and their product is 1944. The largest of the numbers is. [#897]

Q1. Three numbers are in the ratio 3:4:6 and their product is 1944. The largest of the numbers is.Q1. Three numbers are in the ratio 3:4:6 and their product is 1944. The largest of the numbers is.

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