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Q:

If O is the centre of a circle of radius 5 cm. At a distance of 13 cm from O, a point P is taken. From this point, two tangents PQ and PR are drawn to the circle. Then , the area of quadrilateral PQOR is

A) 60 cm2	B) 32.5 cm2
C) 65 cm2	D) 30 cm2

Answer & Explanation Answer: A) 60 cm2

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

If $\frac{a}{b} + \frac{b}{a} = 1,$ then the value of $a^{3} + b^{3}$ is

A) 1	B) 0
C) -1	D) 2

Answer & Explanation Answer: B) 0

Explanation:

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Filed Under: Simplification
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Q:

If $a^{2} + b^{2} + c^{2} = 14$ and $a + b + c = 6$ , then the value of $(a b + b c + c a)$ is,

A) 11	B) 12
C) 13	D) 14

Answer & Explanation Answer: A) 11

Explanation:

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Q:

Which of the following statements concerning atmosphere of the Earth are correct?

1. In stratosphere, temperature increases with altitude.

2. In mesosphere, temperature decreases with altitude.

3. The lowest temperature of the atmosphere is recorded in the upper part of mesosphere.

4. Tropopause is an isothermal zone.

Select the correct answer using the code given below.

A) 1 and 2 only	B) 1, 2 and 3 only
C) 3 and 4 only	D) 1, 2, 3 and 4

Answer & Explanation Answer: D) 1, 2, 3 and 4

Explanation:

In troposphere and mesosphere, temperature declines with increasing altitude. In stratosphere and thermosphere, temperature increases with increasing altitude.The coldest temperatures in Earth’s atmosphere occur at the top of mesosphere, the Mesopause, especially in the summer near the pole.Transitional layers of atmosphere include tropopause, stratopause, and mesopause. These layers are relatively thin and are located between major layers of atmosphere. These have contrasting thermal properties. Hence, in these layers there is no change in temperature with change in altitude.

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Filed Under: General Science
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Q:

A truck covers a distance of 550 metres in one minute where as a bus covers a distance of 33 km in 3/4 hours. Then the ratio of their speeds is :

A) 1:3	B) 2:3
C) 3:4	D) 1:4

Answer & Explanation Answer: C) 3:4

Explanation:

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Filed Under: Ratios and Proportions
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Q:

If the latitude and longitudinal extent of an Indian State/UT is 15o48’00’’N to 14o53’15’’N and 74o20’13’’E to 74o40’33’’E, then which one of the following is that State/UT ?

A) Puducherry	B) Chandigarh
C) Goa	D) Delhi

Answer & Explanation Answer: C) Goa

Explanation:

Delhi: Latitude-28.38 N, Longitude-77.12 E

Chandigarh: Latitude-30.44 N, Longitude-76.47 E

Puducherry: Latitude-11° 54' N, Longitude-79° 48' E

Goa: Latitude-15°29'N. N, Longitude-73°48'E.

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Filed Under: Indian Geography
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Q:

With regard to water transportation in India, which of the following statements are correct?

1.Headquarters of Central Inland Water Transport Corporation is located at Delhi.

2.Headquarters of Inland Waterways Authority of India is located at Noida.

3.National Inland Navigation Institute is located at Kolkata.

4.First National Inland Waterway was between Haldia and Allahabad.

Select the correct answer using the code given below.

A) 1 and 2 only	B) 2 and 3
C) 2 and 4 only	D) 1, 2and 4

Answer & Explanation Answer: C) 2 and 4 only

Explanation:

Central Inland Water Transport Corporation - Kolkata

Inland Waterways Authority of India - Noida

National Inland Navigation Institute - Patna

First National Inland Waterway - Between Haldia and Allahabad

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Filed Under: Indian Geography
Exam Prep: Bank Exams

Q:

The radius of base of a right circular cone is 6cm and its slant height is 10cm. Then its volume is

$(u s e π = \frac{22}{7})$

A) 301.71 cm3	B) 310.71 cm3
C) 301.17 cm3	D) 310.17 cm3

Answer & Explanation Answer: A) 301.71 cm3

Explanation:

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Filed Under: Simplification
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