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. The largest of 2⁶, 3⁵, 4⁴ and 5³ is
Q2. The largest of 2⁶, 3⁵, 4⁴ and 5³ is

(A) 2⁶
(A) 2⁶

(B) 3⁵
(B) 3⁵

(D) 5³
(D) 5³

Answer: (C) 4⁴
Answer: (C) 4⁴

2⁶ = 64 3⁵ = 243 4⁴ = 256 5³ = 125

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Q3. If $\frac{X}{3} = \frac{Y}{4} = \frac{Z}{7}, t h e n \frac{X + Y + Z}{Z}$ is equal to
Q3. 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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Q4. The price of an article is first decreased by 40% and then increased by 20%. The net change in the price will be :
Q4. 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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Q5. Find the median of the data set.
Q5. Find the median of the data set.

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
(A) 8

(B) 7
(B) 7

(D) 4
(D) 4

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

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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Q6. What is the sum of the interior angles of a triangle?
Q6. What is the sum of the interior angles of a triangle?

(A) 180 degrees
(A) 180 degrees

(B) 270 degrees
(B) 270 degrees

(D) 450 degrees
(D) 450 degrees

Answer: (A) 180 degrees
Answer: (A) 180 degrees

The sum of the interior angles of a triangle is always 180 degrees, a fundamental principle in geometry.

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Q7. Which is the smallest prime number?
Q7. Which is the smallest prime number?

(A) 1
(A) 1

(B) 2
(B) 2

(D) 5
(D) 5

Answer: (B) 2
Answer: (B) 2

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Q8. A person moves along a path such that he is always away from a given point by 7 m. After moving for some time, he again reaches his starting point. The approximate distance the person moved during the time is
Q8. A person moves along a path such that he is always away from a given point by 7 m. After moving for some time, he again reaches his starting point. The approximate distance the person moved during the time is

(A) 22 m
(A) 22 m

(B) 44 m
(B) 44 m

(D) 144 m
(D) 144 m

Answer: (B) 44 m
Answer: (B) 44 m

2 *

\frac{22}{7}

* 7 = 2 * 22 = 44

2 *

\frac{22}{7}

* 7 = 2 * 22 = 44

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Q9. 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
Q9. 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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Q10. What is the term for a angle greater than 90 degrees but less than 180 degrees?
Q10. What is the term for a angle greater than 90 degrees but less than 180 degrees?

(A) Acute angle
(A) Acute angle

(B) Right angle
(B) Right angle

(D) Straight angle
(D) Straight angle

Answer: (C) Obtuse angle
Answer: (C) Obtuse angle

An obtuse angle is an angle greater than 90 degrees but less than 180 degrees, like the angle formed by two walls that meet at a corner.

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

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

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Q4. The price of an article is first decreased by 40% and then increased by 20%. The net change in the price will be :
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