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Q:

The solution of 3(2u + v) = 7 uv and 3(u + 3v) = 11 uv is _____

A) u = 1, v = 0	B) u = 1, v = 3/2
C) u = 0, v = 3/4	D) u = 0, v = 1

Answer & Explanation Answer: B) u = 1, v = 3/2

Explanation:

Using Trial and error method,

From the options u = 1, v = 3/2 satisfies both the equations.

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Filed Under: Mathematical Operations
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Q:

Social Rights will not include _____ of the following?

A) Adivasi	B) Women
C) Care for Political Section	D) Children

Answer & Explanation Answer: C) Care for Political Section

Explanation:

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Filed Under: Indian Politics
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Q:

12 students of class IX took part in GK quiz. If the number of boys is 4 more than the number of girls. Find the number of boys and girls took part in the quiz ?

A) 7, 5	B) 9, 3
C) 8, 4	D) 6, 6

Answer & Explanation Answer: C) 8, 4

Explanation:

Let the number of girls = x

=> x + x + 4 = 12

=> 2x = 8

=> x = 4

=> Number of girls = 4

=> Number of boys = 4 + 4 = 8

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Filed Under: Problems on Numbers
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Q:

A boat whose speed in still water is 9 kmph, goes 12 km downstream and comes back in 3 hrs. Find the speed of the stream?

A) 1 kmph	B) 3 kmph
C) 5 kmph	D) 4 kmph

Answer & Explanation Answer: B) 3 kmph

Explanation:

Let the speed of the stream = x kmph

From the given data,

$\frac{12}{9 + x} + \frac{12}{9 - x} = 3 h r s$

$3 x^{2} = 27$

=> x = 3 kmph

Therefore, the speed of the stream = 3 kmph

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Filed Under: Boats and Streams
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Q:

A Conical tent was erected by the army at a base camp with height 3 m and base diameter 10 m. If every person requires 3.92 cu.m air, then how many persons can be seated in that tent approximately?

A) 20	B) 19
C) 17	D) 22

Answer & Explanation Answer: A) 20

Explanation:

Given height of the conical tent = 3 m

Diameter = 10 => Radius = D/2 = 10/2 = 5 m

Now, as the tent is in the conical form

Volume of the conical tent = $π r^{2} \frac{h}{3}$

=> (22 x 5 x 5 x 3) / (7 x 3)

= 22 x 25/7

= 78.54 cu.m

Given each person requires 3.92 cu.m of air

=> Number of persons can be seated in the tent = 78.54/3.92 = 20.03 =~ 20

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Filed Under: Volume and Surface Area
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Q:

If the LCM and HCF of two numbers are equal, then the numbers must be

A) Prime Numbers	B) Composite Numbers
C) Equal	D) Co- prime Numbers

Answer & Explanation Answer: C) Equal

Explanation:

If LCM = HCF then, the two numbers are equal.

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Filed Under: Arithmetical Reasoning
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Q:

The construction of Warangal Fort was started by ______ ?

A) Beta - II	B) Rudra
C) Jayapa	D) Prola - II

Answer & Explanation Answer: B) Rudra

Explanation:

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Filed Under: Indian History
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Q:

The mean of 100 observations is 40. It is found that an observation 84 was misread as 48. Then the correct mean is ?

A) 40.36	B) 41.24
C) 41.92	D) 42.05

Answer & Explanation Answer: A) 40.36

Explanation:

Given,

mean of 100 observations is 40

=> Total of 100 observations = 40 x 100 = 4000

84 is misread as 48

=> Difference = 84 - 48 = 36

=> Now, new total of 100 observations = 4000 + 36 = 4036

Correct Mean = 4036/100 = 40.36

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Filed Under: Average
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