Exams Questions and Answers

Q:

The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is ?

A) 8 kmph	B) 6 kmph
C) 7.5 kmph	D) 5.5 kmph

Answer & Explanation Answer: B) 6 kmph

Explanation:

Speed of the stream = 1
Motor boat speed in still water be = x kmph
Down Stream = x + 1 kmph
Up Stream = x - 1 kmph
[35/(x + 1)] + [35/(x - 1)] = 12
x = 6 kmph

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Filed Under: Boats and Streams
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

70 27328

Q:

Which of the following awards is Sachin Tendulkar NOT awarded with?

A) Bharat Ratna	B) Dhyan Chand Award
C) Padma Vibhushan	D) Rajiv Gandhi Khel Ratna

Answer & Explanation Answer: B) Dhyan Chand Award

Explanation:

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Filed Under: Honours and Awards
Exam Prep: Bank Exams

1 27317

Q:

If side of a square is increased by 60%, then what will be the percentage increase in its area?

A) 156	B) 120
C) 126	D) 132

Answer & Explanation Answer: A) 156

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

1 27262

Q:

In the following question, select the odd letter/letters from the given alternatives.

A) PNLJ	B) USQO
C) MKIG	D) QNKH

Answer & Explanation Answer: D) QNKH

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

2 27248

Q:

select the letter missing from the following series.

U, O, I, ?,A

A) D	B) Q
C) p	D) E

Answer & Explanation Answer: D) E

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 27211

Q:

What annual payment will discharge a debt of Rs.7620 due in 3years at $16 \frac{2}{3}$ % per annum interest?

A) 5430	B) 4430
C) 3430	D) 2430

Answer & Explanation Answer: C) 3430

Explanation:

Let each installment be Rs.x. Then,

(P.W. of Rs.x due 1 year hence) + (P.W of Rs.x due 2 years hence) + (P.W of Rs. X due 3 years hence) = 7620.

$[\frac{x}{(1 + \frac{50}{3 x 100})}] + [\frac{x}{1 + {(\frac{50}{3 x 100})}^{2}}] + [\frac{x}{1 + {(\frac{50}{3 x 100})}^{3}}] = 7620$

$\frac{6 x}{7} + \frac{36 x}{49} + \frac{216 x}{343} = 7620$

$294 x + 252 x + 216 x = 7620 x 343$

=> x = 3430

Amount of each installment = Rs.3430

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

78 27202

Q:

Consider the following statements:

1) The perimeter of a triangle is greater than the sum of its three medinas.

2) In any triangle ABC, if D is any point on BC, then AB + BC + CA > 2AD.

Which of the above statements is/are correct?

A) 1 only	B) 2 only
C) Both 1 and 2	D) Neither 1 nor 2

Answer & Explanation Answer: C) Both 1 and 2

Explanation:

Let ABC be the triangle and D. E and F are midpoints of BC, CA and AB respectively.

Recall that the sum of two sides of a triangle is greater than twice the median bisecting the third side,(Theorem to be remembered)

Hence in ΔABD, AD is a median

⇒

AB + AC > 2(AD)

Similarly, we get

BC + AC > 2CF

BC + AB > 2BE

On adding the above inequations, we get

(AB + AC) + (BC + AC) + (BC + AB )> 2AD + 2CD + 2BE

2(AB + BC + AC) > 2(AD + BE + CF)

∴

AB + BC + AC > AD + BE +CF

2.

To prove: AB + BC + CA > 2AD

Construction: AD is joined

Proof: In triangle ABD,

AB + BD > AD [because, the sum of any two sides of a triangle is always greater than the

third side]

----

1

In triangle ADC,

AC + DC > AD [because, the sum of any two

sides of a tri

angle is always greater than the

third side]

----

2

Adding 1 and 2 we get,

AB + BD + AC + DC > AD + AD

=> AB + (BD + DC) + AC > 2AD

=> AB + BC + AC > 2AD

Hence proved

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

1 27177

Q:

A brother and sister daily leave home together to go to their respective schools. The brother goes 3 km North, then turns left and goes 1 km to reach his school. The sister goes 4 km West, then 3 km North, then turns left and goes 5 km to reach her school. Where is the brother's school with respect to the sister's school?

A) 10 km East	B) 8 km West
C) 10 km West	D) 8 km East

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