Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$ [#1121]

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Q1. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$
Q1. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$

(A)

\frac{- 5}{9}

(A)

\frac{- 5}{9}

(B)

\frac{- 7}{12}

(B)

\frac{- 7}{12}

(C)

\frac{- 20}{27}

(C)

\frac{- 20}{27}

(D)

\frac{- 11}{36}

(D)

\frac{- 11}{36}

Answer: (D)

\frac{- 11}{36}

Answer: (D)

\frac{- 11}{36}

\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}

\sqrt{\frac{15 * 15}{27 * 27}} - \sqrt{\frac{5 * 5}{12 * 12}} - \sqrt{\frac{4 * 4}{9 * 9}}

\frac{15}{27} - \frac{5}{12} - \frac{4}{9}

\frac{60 - 45 - 48}{108}

\frac{- 33}{108}

\frac{- 11}{36}

\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}

\sqrt{\frac{15 * 15}{27 * 27}} - \sqrt{\frac{5 * 5}{12 * 12}} - \sqrt{\frac{4 * 4}{9 * 9}}

\frac{15}{27} - \frac{5}{12} - \frac{4}{9}

\frac{60 - 45 - 48}{108}

\frac{- 33}{108}

\frac{- 11}{36}

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Q1. The value of $\sqrt{0.04} + \sqrt{1.44} + \sqrt{1.69} + \sqrt{0.0009}$ is :
Q1. The value of $\sqrt{0.04} + \sqrt{1.44} + \sqrt{1.69} + \sqrt{0.0009}$ is :

(A) 1.73
(A) 1.73

(B) 2.03
(B) 2.03

(D) 1.03
(D) 1.03

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\sqrt{0.04} + \sqrt{1.44} + \sqrt{1.69} + \sqrt{0.0009}

\sqrt{0.02*0.02} + \sqrt{1.2*1.2} + \sqrt{1.3*1.3} + \sqrt{0.03*0.03}

= 0.2 + 1.2 + 1.3 + 0.03 = 2.73

\sqrt{0.04} + \sqrt{1.44} + \sqrt{1.69} + \sqrt{0.0009}

\sqrt{0.02*0.02} + \sqrt{1.2*1.2} + \sqrt{1.3*1.3} + \sqrt{0.03*0.03}

= 0.2 + 1.2 + 1.3 + 0.03 = 2.73

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Q2. What is the term for a number that can be divided by 2?
Q2. What is the term for a number that can be divided by 2?

(A) Prime number
(A) Prime number

(B) Odd number
(B) Odd number

(D) Fraction
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Answer: (C) Even number

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Q3. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$
Q3. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$

(A)

\frac{- 5}{9}

(A)

\frac{- 5}{9}

(B)

\frac{- 7}{12}

(B)

\frac{- 7}{12}

(C)

\frac{- 20}{27}

(C)

\frac{- 20}{27}

(D)

\frac{- 11}{36}

(D)

\frac{- 11}{36}

Answer: (D)

\frac{- 11}{36}

Answer: (D)

\frac{- 11}{36}

\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}

\sqrt{\frac{15 * 15}{27 * 27}} - \sqrt{\frac{5 * 5}{12 * 12}} - \sqrt{\frac{4 * 4}{9 * 9}}

\frac{15}{27} - \frac{5}{12} - \frac{4}{9}

\frac{60 - 45 - 48}{108}

\frac{- 33}{108}

\frac{- 11}{36}

\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}

\sqrt{\frac{15 * 15}{27 * 27}} - \sqrt{\frac{5 * 5}{12 * 12}} - \sqrt{\frac{4 * 4}{9 * 9}}

\frac{15}{27} - \frac{5}{12} - \frac{4}{9}

\frac{60 - 45 - 48}{108}

\frac{- 33}{108}

\frac{- 11}{36}

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Q4. The missing term in the sequence 7, 11, 19, 31, , 67 is
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(A) 43

(B) 47
(B) 47

(D) 45
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Q5. What is the term for a line that divides a shape into two equal parts?
Q5. What is the term for a line that divides a shape into two equal parts?

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(A) Axis

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(D) Bisector
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Answer: (D) Bisector

A bisector is a line that divides a shape into two equal parts, like a line that cuts a triangle into two equal areas or a line that divides a circle into two equal parts (semi-circles).

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Q6. What is the formula to calculate the area of a circle?
Q6. What is the formula to calculate the area of a circle?

(A) A = πr²
(A) A = πr²

(B) A = 2πr
(B) A = 2πr

(D) A = 1/2πr²
(D) A = 1/2πr²

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The formula to calculate the area of a circle is A = πr², where A is the area and r is the radius of the circle.

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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
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100 * 100% + 200 * 200% =

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= 100 + 400 = 500

100 * 100% + 200 * 200% =

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

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= 100 + 400 = 500

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Q8. What is the term for the point where two or more lines intersect?
Q8. What is the term for the point where two or more lines intersect?

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(B) Edge
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In geometry, a vertex (plural: vertices) is the point where two or more lines, rays, or edges meet, like the corner of a triangle or the point where two streets intersect.

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Q9. Find the median of the data set.
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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
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(B) 7
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(D) 4
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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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Q10. The LCM of two numbers is 40 and their HCF is 4. If the difference between the two numbers is 12, then the sum of the numbers is
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(A) 20
(A) 20

(B) 24
(B) 24

(D) 32
(D) 32

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Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$ [#1121]

Q1. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$
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Q1. The value of $\sqrt{0.04} + \sqrt{1.44} + \sqrt{1.69} + \sqrt{0.0009}$ is :
Q1. The value of $\sqrt{0.04} + \sqrt{1.44} + \sqrt{1.69} + \sqrt{0.0009}$ is :

Q2. What is the term for a number that can be divided by 2?
Q2. What is the term for a number that can be divided by 2?

Q3. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$
Q3. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$

Q4. The missing term in the sequence 7, 11, 19, 31, , 67 is
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Q10. The LCM of two numbers is 40 and their HCF is 4. If the difference between the two numbers is 12, then the sum of the numbers is
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