If 2^x = 32, then the value of x is [#1705]

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Q1. If 2^x = 32, then the value of x is
Q1. If 2^x = 32, then the value of x is

(A) 4
(A) 4

(B) 5
(B) 5

(D) 7
(D) 7

Answer: (B) 5
Answer: (B) 5

2⁵ = 2*2*2*2*2 = 32

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Q1. Three fourth of a number is more than two third of the number by 5. Then the number is
Q1. Three fourth of a number is more than two third of the number by 5. Then the number is

(A) 72
(A) 72

(B) 60
(B) 60

(D) 48
(D) 48

Answer: (B) 60
Answer: (B) 60

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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. Which of the following is a prime number?
Q3. Which of the following is a prime number?

81,33,71,93

81,33,71,93

(A) 93
(A) 93

(B) 33
(B) 33

(D) 81
(D) 81

Answer: (C) 71
Answer: (C) 71

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Q4. At what speed should a car travel on a highway to reach a destination 12 km away in 15 minutes?
Q4. At what speed should a car travel on a highway to reach a destination 12 km away in 15 minutes?

(A) 64 kmph
(A) 64 kmph

(B) 84 kmph
(B) 84 kmph

(D) 36 kmph
(D) 36 kmph

Answer: (C) 48 kmph
Answer: (C) 48 kmph

12 ---- x 60 = 48 KMPH 15

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2024-10-23

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Q5. A number when divided by 6 is diminished by 40. The number is
Q5. A number when divided by 6 is diminished by 40. The number is

(A) 72
(A) 72

(B) 48
(B) 48

(D) 84
(D) 84

Answer: (B) 48
Answer: (B) 48

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Q6. The smallest among $\sqrt{\frac{1}{2}}, \sqrt{\frac{1}{3}}, \sqrt{\frac{1}{4}} a n d \sqrt{\frac{2}{3}}$ is
Q6. The smallest among $\sqrt{\frac{1}{2}}, \sqrt{\frac{1}{3}}, \sqrt{\frac{1}{4}} a n d \sqrt{\frac{2}{3}}$ is

(A)

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

(A)

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

(B)

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

(B)

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

(C)

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

(C)

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

(D)

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

(D)

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

Answer: (C)

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

Answer: (C)

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

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

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

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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 8th term of the sequence 2, 6, 18, 54, ...... is
Q8. The 8th term of the sequence 2, 6, 18, 54, ...... is

(A) 4370
(A) 4370

(B) 4374
(B) 4374

(D) 7434
(D) 7434

Answer: (B) 4374
Answer: (B) 4374

4374

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2024-04-13

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Q9. If '÷' means ‘addition’, ‘+’ means ‘subtraction’, ‘–’ means ‘multiplication’ and ‘×’ means ‘division’, then the value of 18 ÷ 12 × 4 – 5 is
Q9. If '÷' means ‘addition’, ‘+’ means ‘subtraction’, ‘–’ means ‘multiplication’ and ‘×’ means ‘division’, then the value of 18 ÷ 12 × 4 – 5 is

(A) 25
(A) 25

(B) 35
(B) 35

(D) 33
(D) 33

Answer: (D) 33
Answer: (D) 33

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Q10. 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 :
Q10. 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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If 2x = 32, then the value of x is [#1705]

Q1. If 2x = 32, then the value of x isQ1. If 2x = 32, then the value of x is

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If 2^x = 32, then the value of x is [#1705]

Q1. If 2^x = 32, then the value of x is
Q1. If 2^x = 32, then the value of x is

Q1. Three fourth of a number is more than two third of the number by 5. Then the number is
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