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Q:

A and B runs around a circular track. A beats B by one round or 10 minutes. In this race, they had completed 4 rounds. If the race was only of one round, find the A's time over the course:

A) 8 min	B) 7.5 min
C) 12.5 min	D) 12 min

Answer & Explanation Answer: B) 7.5 min

Explanation:

B runs around the track in 10 min.

i.e , Speed of B = 10 min per round

Therefore, A beats B by 1 round

Time taken by A to complete 4 rounds

= Time taken by B to complete 3 rounds

= 30 min

Therefore, A's speed = 30/4 min per round = 7.5 min per round

Hence, if the race is only of one round A's time over the course = 7 min 30 sec

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

Q:

In a race of 800m Kaushik gives Piyush a start of 200m and then loses the race by 20 seconds. What is the speed of Piyush and Kaushik respectively ? If the ratio of respective speeds be 3:2.

Answer

Let the speed of Kaushik be Sk and speed of Piyush be Sp and let the time taken by Piyush be t second then,

$\frac{Sk}{Sp} = \frac{\frac{800}{t + 20}}{\frac{600}{t}} = \frac{2}{3} (since given ratio)$

t = 20 s

Speed of Piyush = Sp = 600/20 = 30 m/s

and Speed of Kaushik = 800/40 = 20 m/s

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Subject: Time and Distance Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

Q:

Find value of $\frac{\log \sqrt{27} + \log 8 + l o g \sqrt{1000}}{\log 120}$

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

Answer & Explanation Answer: B) 3/2

Explanation:

$= \frac{\log \sqrt{3^{3}} + \log 2^{3} + \log \sqrt{10^{3}}}{\log (10 \times 3 \times 2^{2})}$

$= \frac{\log (3^{3})^{\frac{1}{2}} + \log 2^{3} + \log {(10^{3})}^{\frac{1}{2}}}{\log (10 \times 3 \times 2^{2})}$

$= \frac{\frac{1}{2} \log 3^{3} + 3 \log 2 + \frac{1}{2} \log 10^{3}}{\log 10 + \log 3 + \log 2^{2}}$

$= \frac{\frac{3}{2} (\log 3 + 2 \log 2 + \log 10)}{\log 3 + 2 \log 2 + \log 10}$ = $\frac{3}{2}$

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Filed Under: Logarithms
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank Clerk , Bank PO

Q:

Q 2 3 B 9 V 5 L S R F P

If one is subtracted from each of the numbers, which of the following will be the fourth to the right of the tenth from the right ?

A) 4	B) 8
C) 2	D) 1

Answer & Explanation Answer: A) 4

Explanation:

Fourth to the right of the tenth from the right means (10 - 4 = )6th from the right, ie 5. But according to the queswtion, one is subtracted from each of the numbers, ie 4.

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Filed Under: Alphabet Test

Q:

As per the results of the 2011 Populatiom Census, which of the following groups occupies the three top places in respect of literacy?

A) Kerala, Goa, West Bengal	B) Chandigarh, Goa, Kerala
C) Kerala, Lakshadweep, Mizoram	D) Mizoram, Kerala, Tripura

Answer & Explanation Answer: D) Mizoram, Kerala, Tripura

Explanation:

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Filed Under: Indian Geography

Q:

Primitive people practice animal rearing in the tropical grasslands of _______

A) Brazil	B) Northern Australia
C) East Africa	D) Orinoco Basin in South America

Answer & Explanation Answer: C) East Africa

Explanation:

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Filed Under: World Geography

Q:

A weathering process in which layers of rocks peel off as expansion alternates with contraction , is known as ___

A) Shattering	B) Block seperation
C) Granular disintegration	D) Exfoliation

Answer & Explanation Answer: D) Exfoliation

Explanation:

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Filed Under: World Geography

Q:

Which of the following indexes is developed to measure life expectancy, level of literacy, education and standard of living of people in a country?

A) Inflation	B) Sensex
C) SLR	D) Human Development Index (HDI)

Answer & Explanation Answer: D) Human Development Index (HDI)

Explanation:

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Filed Under: Indian Economy

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