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 [#1022]

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Q1. 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
Q1. 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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Q1. If 16℅ of 40℅ of a number is 8, then the number is
Q1. If 16℅ of 40℅ of a number is 8, then the number is

(A) 250
(A) 250

(B) 125
(B) 125

(D) 100
(D) 100

Answer: (B) 125
Answer: (B) 125

125

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Q2. Three numbers are in the ratio 3:4:6 and their product is 1944. The largest of the numbers is.
Q2. 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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Q3. The sum of two numbers is 15 and the sum of their squares is 113. The numbers are
Q3. 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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Q4. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is
Q4. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is

(A) 2 : 5
(A) 2 : 5

(B) 3 : 5
(B) 3 : 5

(D) 7 : 5
(D) 7 : 5

Answer: (C) 4 : 5
Answer: (C) 4 : 5

4 : 5

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Q5. The sum of the four consecutive alternate numbers is 64. The smallest number amongst them is
Q5. The sum of the four consecutive alternate numbers is 64. The smallest number amongst them is

(A) 13
(A) 13

(B) 11
(B) 11

(D) 9
(D) 9

Answer: (A) 13
Answer: (A) 13

The smallest number amongst them is 13 => X + (X+2) + (X+4) + (X+6) = 64 => 4X + 12 = 64 => 4X = 64 - 12 => 4X = 52 => X = 13

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Q6. The value of $\sqrt[3]{8^{2}}$ is
Q6. 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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Q7. 4/5 of a number is 64. Then half of the number is
Q7. 4/5 of a number is 64. Then half of the number is

(A) 16
(A) 16

(B) 80
(B) 80

(D) 40
(D) 40

Answer: (D) 40
Answer: (D) 40

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2024-03-03

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Q8. What is the term for a triangle with three equal sides?
Q8. What is the term for a triangle with three equal sides?

(A) Isosceles triangle
(A) Isosceles triangle

(B) Equilateral triangle
(B) Equilateral triangle

(D) Right triangle
(D) Right triangle

Answer: (B) Equilateral triangle
Answer: (B) Equilateral triangle

An equilateral triangle is a triangle with three equal sides and angles, a regular polygon with three sides.

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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. If $\frac{X}{3} = \frac{Y}{4} = \frac{Z}{7}, t h e n \frac{X + Y + Z}{Z}$ is equal to
Q10. 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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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 [#1022]

Q1. 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 isQ1. 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

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Q1. 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
Q1. 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

Q1. If 16℅ of 40℅ of a number is 8, then the number is
Q1. If 16℅ of 40℅ of a number is 8, then the number is

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Q3. The sum of two numbers is 15 and the sum of their squares is 113. The numbers are
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Q4. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is

Q5. The sum of the four consecutive alternate numbers is 64. The smallest number amongst them is
Q5. The sum of the four consecutive alternate numbers is 64. The smallest number amongst them is

Q6. The value of $\sqrt[3]{8^{2}}$ is
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Q7. 4/5 of a number is 64. Then half of the number is
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Q8. What is the term for a triangle with three equal sides?

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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 :

Q10. If $\frac{X}{3} = \frac{Y}{4} = \frac{Z}{7}, t h e n \frac{X + Y + Z}{Z}$ is equal to
Q10. If $\frac{X}{3} = \frac{Y}{4} = \frac{Z}{7}, t h e n \frac{X + Y + Z}{Z}$ is equal to