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Q:

"The Law of Kepler" is related with which among the following ?

A) Planetary Motion	B) Law of Conservation of energy
C) Law of Gravitation	D) None

Answer & Explanation Answer: A) Planetary Motion

Explanation:

Kepler's laws of planetary motion are three scientific laws describing the motion of planets around the Sun.

Kepler’s three laws of planetary motion can be stated as follows:

(1) All planets move about the Sun in elliptical orbits, having the Sun as one of the foci.

(2) A radius vector joining any planet to the Sun sweeps out equal areas in equal lengths of time.

(3) The squares of the sidereal periods (of revolution) of the planets are directly proportional to the cubes of their mean distances from the Sun.

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Filed Under: Physics
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Q:

A Conical tent was erected by the army at a base camp with height 3 m and base diameter 10 m. If every person requires 3.92 cu.m air, then how many persons can be seated in that tent approximately?

A) 20	B) 19
C) 17	D) 22

Answer & Explanation Answer: A) 20

Explanation:

Given height of the conical tent = 3 m

Diameter = 10 => Radius = D/2 = 10/2 = 5 m

Now, as the tent is in the conical form

Volume of the conical tent = $π r^{2} \frac{h}{3}$

=> (22 x 5 x 5 x 3) / (7 x 3)

= 22 x 25/7

= 78.54 cu.m

Given each person requires 3.92 cu.m of air

=> Number of persons can be seated in the tent = 78.54/3.92 = 20.03 =~ 20

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Filed Under: Volume and Surface Area
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Q:

Three taps P, Q and R can fill a tank in 12 hrs, 15 hrs and 20 hrs respectively. If P is open all the time and Q and R are open for one hour each alternately, starting with Q, then the tank will be full in how many hours ?

A) 9 hrs	B) 7 hrs
C) 13 hrs	D) 11 hrs

Answer & Explanation Answer: B) 7 hrs

Explanation:

Given,

P can fill in 12 hrs

Q can fill in 15 hrs

R can fill in 20 hrs

=> Volume of tank = LCM of 12, 15, 20 = 60 lit

=> P alone can fill the tank in 60/12 = 5 hrs

=> Q alone can fill the tank in 60/15 = 4 hrs

=> R alone can fill the tank in 60/20 = 3 hrs

Tank can be filled in the way that

(P+Q) + (P+R) + (P+Q) + (P+R) + ....

=> Tank filled in 2 hrs = (5+4) + (5+3) = 9 + 8 = 17 lit

=> In 6 hrs = 17 x 6/2 = 51 lit

=> In 7th hr = 51 + (5+4) = 51 + 9 = 60 lit

=> So, total tank will be filled in 7 hrs.

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Filed Under: Time and Work
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Q:

Ramesh spent Rs. 38460 on the renovation of his home, Rs. 24468 on buying furniture and remaining 28% of the total amount he had as cash with him. What was the total amount ?

A) 87400	B) 92520
C) 88470	D) 90150

Answer & Explanation Answer: A) 87400

Explanation:

Let X be the total amount with Ramesh

Given 28% of X = Cash remaining

=> Amount spent = 72% of X = 38460 + 24468 = 62928

=> 72% of X = 62928

=> X = ?

=> X = 87400

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Filed Under: Percentage
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Q:

A can complete 9/10 part of a work in 31 days. After that, with the help of B he can complete the remaining work in 4 days. In how many days will A and B together can complete that work ?

A) 36	B) 40
C) 42	D) 38

Answer & Explanation Answer: B) 40

Explanation:

Remaining work = 1 - 9/10 = 1/10

=> A & B together completes 1/10 of work in 4 days

=> 1 work can completed in ------ ? days

Let it be x days

=> $\frac{4}{\frac{1}{10}} = \frac{x}{1}$

=> x = 40 days.

Hence, A & B together can complete the work in 40 days.

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Filed Under: Time and Work
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Q:

Which Bank has tied up with Samsung Pay through which cardholders will be able to pay using smartphones at merchant establishments ?

A) HDFC Bank	B) Yes Bank
C) Kotak Mahindra Bank	D) Punjab National Bank

Answer & Explanation Answer: C) Kotak Mahindra Bank

Explanation:

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Filed Under: Marketing and Sales
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Q:

"Kalinga Prize" associated with which of the following fields ?

A) Sports	B) Journalism
C) Science	D) Literature

Answer & Explanation Answer: C) Science

Explanation:

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Filed Under: Honours and Awards
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Q:

With reference to the first battle of freedom in 1857, who was related to Jhansi ?

A) Chandra Shekhar Azad	B) Rani Lakshmi Bai
C) Mangal Pandey	D) Bhagat Singh

Answer & Explanation Answer: B) Rani Lakshmi Bai

Explanation:

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Filed Under: Indian History
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