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Q:

A jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger ?

A) 10 sec	B) 48 sec
C) 36 sec	D) 56 sec

Answer & Explanation Answer: C) 36 sec

Explanation:

Given speed of jogger = 9 kmph
Speed of train = 45 kmph
As they are in same direction,
Relative speed = 45 - 9 = 36 kmph = 36x5/18 = 10 m/s
Distance = 240 + 120 = 360 mts
Time = distance/speed = 360/10 = 36 sec.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

India has been placed in the _______ spot in the renewable energy country attractiveness index by EY.

A) 1st	B) 2nd
C) 3rd	D) 4th

Answer & Explanation Answer: B) 2nd

Explanation:

India has been placed in the second spot in the renewable energy country attractiveness index by EY. The UK accountancy firm noted the fast pace of growth in Indian renewable energy in the past three years. Over 10 gigawatt (Gw) of solar power was added between 2015 and 2017 and wind energy capacity grew to 5.4 Gw in 2017-18. This growth is in the context of the government’s ambitious targets — 175 Gw of renewables by 2022, with 40 per cent installed capacity from renewables by 2030 — and the dramatic price falls in photovoltaic technology.

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Filed Under: Indian Economy
Exam Prep: Bank Exams , CAT
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Q:

Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions ?

A) 27 sec	B) 31 sec
C) 23 sec	D) 29 sec

Answer & Explanation Answer: A) 27 sec

Explanation:

Time taken to meet for the first time anywhere on the track

= length of the track / relative speed

= 300 / (15 + 25)5/18 = 300x 18 / 40 x 5 = 27 seconds.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

A jogger running at 9 km/hr along side a railway track is 260 m ahead of the engine of a 140 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger ?

A) 25 sec	B) 40 sec
C) 38 sec	D) 32 sec

Answer & Explanation Answer: B) 40 sec

Explanation:

Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 x 5/18 = 10 m/sec.

Distance to be covered = 260 + 140 = 400 m.

Time taken = 400/10 = 40 sec.

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Filed Under: Problems on Trains
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Q:

In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m ?

A) 127.5 m	B) 254 m
C) 184 m	D) 212 m

Answer & Explanation Answer: A) 127.5 m

Explanation:

When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m.

When B runs 900 m, distance that C runs = (900 x 700)/800 = 6300/8 = 787.5 m.

In a race of 1000 m, A beats C by (1000 - 787.5) = 212.5 m to C.

In a race of 600 m, the number of meters by which A beats C

= (600 x 212.5)/1000 = 127.5 m.

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Filed Under: Races and Games
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

Which state in India is set to become the first state to invite all Twitter and Facebook users to interact with the Chief Minister and contribute towards improving various services ?

A) Chattisgarh	B) Punjab
C) Karnataka	D) Haryana

Answer & Explanation Answer: D) Haryana

Explanation:

Haryana is poised to become the first state to invite all Twitter and Facebook users to interact with the Chief Minister Manohar Lal and contribute towards further improving various services being provided by different departments.

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Filed Under: Famous Places
Exam Prep: Bank Exams , CAT
Job Role: Bank Clerk

Q:

Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction ?

A) 2 9/7 km	B) 3 7/5 km
C) 1 3/4 km	D) 4 3/8 km

Answer & Explanation Answer: D) 4 3/8 km

Explanation:

Relative Speed = 5 ¾ - 4 ½ = 1 ¼

Time = 3 ½ h.

Distance = 5/4 x 7/2 = 35/8 = 4 3/8 km.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

Solve the equation ${(\frac{1}{2})}^{2 x + 1} = 1$ ?

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

Answer & Explanation Answer: A) -1/2

Explanation:

Rewrite equation as ${(\frac{1}{2})}^{2 x + 1} = {(\frac{1}{2})}^{0}$

Leads to 2x + 1 = 0

Solve for x : x = -1/2

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

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