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. A lady deposits money in her savings bank in such a way that every next day her deposit amount is ₹ 12 more than her previous day deposit. If she starts her deposit with ₹ 12 on the first day, the total amount deposited by Liza at the end of 30 days will be :
Q1. A lady deposits money in her savings bank in such a way that every next day her deposit amount is ₹ 12 more than her previous day deposit. If she starts her deposit with ₹ 12 on the first day, the total amount deposited by Liza at the end of 30 days will be :

(A) 5,420
(A) 5,420

(B) 5,580
(B) 5,580

(D) 5,780
(D) 5,780

Answer: (B) 5,580
Answer: (B) 5,580

The formula for the sum of the first n terms of an arithmetic progression is

S_{n} = \frac{n}{2} (a + a n)

\frac{30}{2} (12 + 12 * 30)

= 15*(12+360) = 15 * 372 = 5580

The formula for the sum of the first n terms of an arithmetic progression is

S_{n} = \frac{n}{2} (a + a n)

\frac{30}{2} (12 + 12 * 30)

= 15*(12+360) = 15 * 372 = 5580

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Q2. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$
Q2. 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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Q3. The value of $\sqrt{0.04} + \sqrt{1.44} + \sqrt{1.69} + \sqrt{0.0009}$ is :
Q3. 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

Answer: (C) 2.73
Answer: (C) 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

\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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Q4. The median of the sequence of numbers 2, – 1, 3, 1, – 2, 5, 6 is
Q4. The median of the sequence of numbers 2, – 1, 3, 1, – 2, 5, 6 is

(A) 1
(A) 1

(B) -1
(B) -1

(D) 3
(D) 3

Answer: (C) 2
Answer: (C) 2

In ascending order = -2, -1, 1, 2, 3, 5, 6 median =

\frac{7 + 1}{2}

th term = 4th term = 2

In ascending order = -2, -1, 1, 2, 3, 5, 6 median =

\frac{7 + 1}{2}

th term = 4th term = 2

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Q5. The product of two consecutive odd numbers is 19043. Which is the smaller number?
Q5. The product of two consecutive odd numbers is 19043. Which is the smaller number?

(A) 133
(A) 133

(B) 131
(B) 131

(D) 129
(D) 129

Answer: (C) 137
Answer: (C) 137

137

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Q6. 3/4 of a number is 19 less than the original number. The number is
Q6. 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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Q7. Which is the smallest Whole Number?
Q7. Which is the smallest Whole Number?

(A) -1
(A) -1

(B) 0
(B) 0

(D) 2
(D) 2

Answer: (B) 0
Answer: (B) 0

Zero

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Q8. Which is the smallest Natural Number?
Q8. Which is the smallest Natural Number?

(A) -1
(A) -1

(B) 0
(B) 0

(D) 2
(D) 2

Answer: (C) 1
Answer: (C) 1

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Q9. What is the term for the result of multiplying a number by itself?
Q9. What is the term for the result of multiplying a number by itself?

(A) Factor
(A) Factor

(B) Product
(B) Product

(D) Square
(D) Square

Answer: (D) Square
Answer: (D) Square

The result of multiplying a number by itself is called a square, such as 4 × 4 = 16, which is denoted as 4² (four squared).

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Q10. Find the odd number - 15, 17, 6, 12.
Q10. Find the odd number - 15, 17, 6, 12.

(A) 6
(A) 6

(B) 12
(B) 12

(D) 17
(D) 17

Answer: (D) 17
Answer: (D) 17

17 which is a Prime number.

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Find the value of 225729-25144-1681 [#1121]

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

Q2. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$
Q2. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$

Q3. The value of $\sqrt{0.04} + \sqrt{1.44} + \sqrt{1.69} + \sqrt{0.0009}$ is :
Q3. The value of $\sqrt{0.04} + \sqrt{1.44} + \sqrt{1.69} + \sqrt{0.0009}$ is :

Q4. The median of the sequence of numbers 2, – 1, 3, 1, – 2, 5, 6 is
Q4. The median of the sequence of numbers 2, – 1, 3, 1, – 2, 5, 6 is

Q5. The product of two consecutive odd numbers is 19043. Which is the smaller number?
Q5. The product of two consecutive odd numbers is 19043. Which is the smaller number?

Q6. 3/4 of a number is 19 less than the original number. The number is
Q6. 3/4 of a number is 19 less than the original number. The number is

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Q7. Which is the smallest Whole Number?

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Q8. Which is the smallest Natural Number?

Q9. What is the term for the result of multiplying a number by itself?
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Q10. Find the odd number - 15, 17, 6, 12.
Q10. Find the odd number - 15, 17, 6, 12.