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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23 24590

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
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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24 24575

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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26 24543

Q:

Which of the statements given below are correct?

A) Rafael Nadal won the Tennis 2017 Australian Open Men's Singles.

B) In 2017, Virat Kohli captained the IPL team Royal Challengers Bangalore.

C) Serena Williams won the Table Tennis 2017 ITTF World Tour Grand Finals Women's Singles

A) Only A	B) Only B
C) Both A and C	D) None of these

Answer & Explanation Answer: B) Only B

Explanation:

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Filed Under: Sports
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Q:

Which of the statements given below are correct?

A) Alexander Zverev won the Tennis 2017 Italian Open Men's Singles.

B) In 2017 Pro Kabaddi League, Selvamani K played for Puneri Paltan.

C) United States hosted the Tennis 2017 Hopman Cup.

A) Only A	B) Only B
C) Both A and B	D) Both A and C

Answer & Explanation Answer: A) Only A

Explanation:

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Filed Under: Sports
Exam Prep: Bank Exams

0 24524

Q:

Which of the statements given below are correct?

A) In 2017, Dani Pedrosa raced in MotoGP for Yamaha.

B) Alexander Zverev won the Tennis 2017 Miami Open Men's Singles.

C) Viktor Axelsen won the Badminton 2017 BWF Super Series Finals Men's Singles.

A) Only B	B) Only C
C) Both A and C	D) None of these

Answer & Explanation Answer: B) Only C

Explanation:

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Exam Prep: Bank Exams

1 24510

Q:

Afreena walks 8 km towards East and then walks 13 km back, then she turns left and walks 4 km; then walks 5 km after turning left; she turns left again and walks 3 km. How far is she from the starting point ?

A) 3 km	B) 2 km
C) 1 km	D) 6 km

Answer & Explanation Answer: C) 1 km

Explanation:

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Filed Under: Direction Sense Test
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

75 24494

Q:

Rs. 5887 is divided between Shyam and Ram, such that Shyam's share at the end of 9 years is equal to Ram's share at the end of 11 years, compounded annually at the rate of 5%. Find the share of Shyam.

A) 3567	B) 3452
C) 3087	D) 3544

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