Exams Questions and Answers

Q:

The difference between two parallel sides of a trapezium is 4 cm. perpendicular distance between them is 19 cm. If the area of the trapezium is 475 find the lengths of the parallel sides.

A) 27 and 23	B) 24 and 23
C) 25 and 23	D) 22 and 23

Answer & Explanation Answer: A) 27 and 23

Explanation:

Let the two parallel sides of the trapezium be a cm and b cm.

Then, a - b = 4

And, $\frac{1}{2} \times (a + b) \times 19 = 475 = > (a + b) = 50$

Solving (i) and (ii), we get: a = 27, b = 23.

So, the two parallel sides are 27 cm and 23 cm.

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Filed Under: Area
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Q:

A man walks 6 km at a speed of $1 \frac{1}{2}$ kmph, runs 8 km at a speed of 2 kmph and goes by bus another 32 km. Speed of the bus is 8 kmph. Find the average speed of the man in kmph.

$A) 4 \frac{3}{14}$

B) $4 \frac{2}{13}$

C) $2 \frac{4}{13}$

D) $3 \frac{4}{14}$

A) Option A	B) Option B
C) Option C	D) Option D

Answer & Explanation Answer: B) Option B

Explanation:

Man walked 6 km at 1.5 kmph, again he walked 8 km at speed of 2 kmph and 40 km at a speed of 8kmph
time taken indivisually:
=> 6/1.5 = 4 m
=> 8/2 = 4 m
=> 40/8 = 5 m

Average speed of man= total distance/ total time
=> 54/13 = $4 \frac{2}{13}$ kmph

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Filed Under: Time and Distance
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Q:

In the following question, select the missing number from the given series.

108, 104, 100, 96, 92, ?

A) 88	B) 84
C) 90	D) 86

Answer & Explanation Answer: A) 88

Explanation:

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Q:

In the following question, select the missing number from the given series.

91, 100, 118, 145, ?, 226

A) 161	B) 215
C) 181	D) 202

Answer & Explanation Answer: C) 181

Explanation:

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Q:

Today __________ are seen as personal accessory - portable, powerful and simple to operate.

A) e-mail	B) e-business
C) e-content	D) Computers

Answer & Explanation Answer: D) Computers

Explanation:

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Q:

A man invests Rs.5000 for 3 years at 5% p.a. compound interest reckoned yearly. Income tax at the rate of 20% on the interest earned is deducted at the end of each year. Find the amount at the end of the third year

A) Rs.5624.32	B) Rs.5423
C) Rs.5634	D) Rs.5976

Answer & Explanation Answer: A) Rs.5624.32

Explanation:

5% is the rate of interest. 20% of the interest amount is paid as tax.

i.e 80% of the interest amount stays back.

$\therefore$ if we compute the rate of interest as 80% of 5% = 4% p.a., we will get the same value.

The interest accrued for 3 years in compound interest = 3 x simple interest on principal + 3 x interest on simple interest + 1 x interest on interest on interest.

= 3 x (200) + 3 x (8) + 1 x 0.32 =600 + 24 + 0.32 = 624.32

The amount at the end of 3 years = 5000 + 624.32 = 5624.32

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Filed Under: Compound Interest
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Q:

Which of the following terms follows the trend of the given list?

AAAAAAA, BAAAAAA, BBAAAAA, BBBAAAA, BBBBAAA, _______________

A) BBBBBBA	B) BBBBBAA
C) AAAAAAA	D) BAAAAAA

Answer & Explanation Answer: A) BBBBBBA

Explanation:

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Filed Under: Alphabet Test
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Q:

Five farmers have 7,9,11,13 & 14 apple trees respectively in their orchards. Last year each of them discovered that every tree in their own orchard yields exactly the same number of apples. Further, if the 3rd farmer gives one apple to the 1st and the 5th gives 3 to each of the 2nd & d 4th, they would all exactly have the same number of apples, what were the yields per tree in the orchards of the 3rd & 4th farmers ?

A) 17 & 9	B) 9 & 11
C) 9 & 9	D) 11 & 9

Answer & Explanation Answer: D) 11 & 9

Explanation:

Let the number of apples in each tree of the 5 farmers be a, b, c, d,e respectively. Therefore total no of apples are 7a, 9b, 11c, 13d and 14e respectively.

Given,
7a+1 = 9b+3 = 11c-1 = 13d+3 = 14e-6 = x

9b+3 = 13d+3
===> 9b = 13d
so take b = 13 and d = 9

9b+3 = 9*13+3 = 120
ie, x=120

substituting
7a+1 = 120
7a = 119
a = 17

11c-1 = 120
11c = 121
c=11

14e-6 = 120
14e = 126
e = 9

Yields per tree in the orchards of d 3rd & 4th farmers= 11,9

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Filed Under: Arithmetical Reasoning
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