Exams Questions and Answers

Q:

The altitude drawn to the base of an isosceles triangle is 8cm and the perimeter is 32cm. Find the area of the triangle?

A) 50	B) 60
C) 70	D) 80

Answer & Explanation Answer: B) 60

Explanation:

let ABC be the isosceles triangle, the AD be the altitude

Let AB = AC = x then BC= 32-2x [because parameter = 2 (side) + Base]

since in an isoceles triange the altitude bisects the base so

BD = DC = 16-x

In a triangle ADC, ${(A C)}^{2} = {(A D)}^{2} + {(D C)}^{2}$

$x^{2} = 8^{2} + {(16 - x)}^{2}$ $\Rightarrow x = 10$

BC = 32-2x = 32-20 = 12 cm

Hence, required area = $\frac{1}{2} * B C * A D$ = $\frac{1}{2} * 12 * 10$ = 60 sq cm

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Filed Under: Area
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Q:

The gravitational force of attraction between two bodies is __________________ the product of their masses.

A) directly proportional to the square of	B) inversely proportional to
C) inversely proportional to the square of	D) directly proportional to

Answer & Explanation Answer: D) directly proportional to

Explanation:

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Filed Under: Physics
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1 35594

Q:

Ionic compounds ______.

I. have high boiling point

II. have high melting point

III. conduct electricity in solution

A) Only I and II	B) Only I and III
C) Only II and III	D) All I, II and III

Answer & Explanation Answer: D) All I, II and III

Explanation:

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Filed Under: Chemistry
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Q:

In Force equation, F is equal to

A) ma	B) mv
C) u+at	D) mgh

Answer & Explanation Answer: A) ma

Explanation:

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Q:

If 1 1 1 1 = R
2 2 2 2 = T
3 3 3 3 = E
4 4 4 4 = N

Then 5 5 5 5 = ?

A) Y	B) Z
C) T	D) X

Answer & Explanation Answer: A) Y

Explanation:

If you add all the terms of the LHS of equality, then the last letter of the sum written in words would give you the RHS.

1 + 1 + 1 + 1 = 4 = FOUR

2 + 2 + 2 + 2 = 8 = EIGHT

3 + 3 + 3 + 3 = 12 = TWELVE

4 + 4 + 4 + 4 = 16 = SIXTEEN

So, following the same pattern.

5 + 5 + 5 + 5 = 20 = TWENTY

That gives us our answer to 5 5 5 5 = "Y".

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Filed Under: Number Puzzles
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83 35511

Q:

Seven boys A,B,C,D,E,F and G are standing in a line.

(i) G is between A and E
(ii) F and A have one boy between them
(iii) E and C have two boys between them
(iv) D is immediate right of F
(v) C and B have three boys between them

Who is second from left?

A) C	B) G
C) E	D) A

Answer & Explanation Answer: C) E

Explanation:

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Filed Under: Arithmetical Reasoning
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0 35486

Q:

If 18$6 = 6, 8$2 = 3 and 8$4 = 2, then find the value of 18$12 = ?

A) 3	B) -8
C) 4	D) 6

Answer & Explanation Answer: A) 3

Explanation:

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Filed Under: Coding and Decoding
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Q:

At what angle the hands of a clock are inclined at 15 minutes past 5?

A) 57.5 degrees	B) 67.5 degrees
C) 77.5 degrees	D) 87.5 degrees

Answer & Explanation Answer: B) 67.5 degrees

Explanation:

Angle traced by hour hand in $\frac{21}{4}$ 21 hrs = ${(\frac{360}{12} \times \frac{21}{4})}^{0}$ = $157 \frac{1^{0}}{2}$

Angle traced by min. hand in 15 min = ${(\frac{360}{12} \times 15)}^{0}$ = $90^{0}$

$\therefore$ Required Angle = ${(157 \frac{1}{2})}^{0} - 90^{0}$ = $67 \frac{1^{0}}{2}$

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Filed Under: Clocks
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