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Q:

In $∆ A B C$ if the median AD=1/2 BC, then $∠ B A C$ is

A) 90°	B) 45°
C) 60°	D) 75°

Answer & Explanation Answer: A) 90°

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Filed Under: Simplification
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Q:

If $2 x + \frac{2}{x} = 3,$ then the value of $x^{3} + \frac{1}{x^{3}} + 2$ is

A) 3/4	B) 4/5
C) 5/8	D) 7/8

Answer & Explanation Answer: D) 7/8

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Q:

If $\frac{a^{2}}{b + c} = \frac{b^{2}}{c + a} = \frac{c^{2}}{a + b} = 1$ then the value of $\frac{2}{1 + a} + \frac{2}{1 + b} + \frac{2}{1 + c}$

A) 0	B) 1
C) 2	D) 3

Answer & Explanation Answer: C) 2

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Q:

If $x + \frac{1}{x} = 5,$ then the value of $\frac{x}{1 + x + x^{2}}$ is

A) 1/5	B) 1/6
C) 5	D) 6

Answer & Explanation Answer: B) 1/6

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Q:

If a+b=2c then the value of $\frac{a}{a - c} + \frac{c}{b - c}$ is equal to (where $a \neq b \neq c$ )

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

Answer & Explanation Answer: B) 1

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Q:

Consider the following chemical reaction :

${aFe}_{2} O_{3} (s) + bCO (g) + cFe (s) + {dCO}_{2}$

In the balanced chemical equation of the above, which of the following will be the values of the coefficients a, b, c and d respectively?

A) 3, 2, 3, 1	B) 1, 3, 2, 3
C) 2, 3, 3, 1	D) 3, 3, 2, 1

Answer & Explanation Answer: B) 1, 3, 2, 3

Explanation:

Fe2O3 + 3CO = 2Fe + 3CO2

Hematite + Carbon Monoxide = Iron + Carbon Dioxide

In this reaction, the iron oxide is reduced to iron, and the carbon is oxidised to carbon dioxide.

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Filed Under: Chemistry
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Q:

If A/3 = B/2 = C/5, then what is the value of ratio ${(C + A)}^{2} : {(A + B)}^{2} : {(B + C)}^{2} ?$

A) 9 : 4 : 25	B) 25 : 4 : 9
C) 64 : 25 : 49	D) 49 : 25 : 64

Answer & Explanation Answer: C) 64 : 25 : 49

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Q:

The Entrepreneurship Development Scheme (EDS) has been launched under New Economy Development Policy (NEDP) on January 19, 2017 at _____.

A) New Delhi	B) Mizoram
C) Gujrat	D) Uttar Pradesh

Answer & Explanation Answer: B) Mizoram

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