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Q:

A capillary tube is partially dipped vertically in a vessel containing water. Due to capillarity water rises in the tube. The height of water rise in the tube can be increased by

A) decreasing the radius of the capillary tube	B) increasing the radius of the capillary tube
C) increasing the height of water in the vessel	D) None of these

Answer & Explanation Answer: A) decreasing the radius of the capillary tube

Explanation:

The water rise in a capillary tube dipped in water is such that the weight of water in the tube above the surface of water in the vessel is equal to (balances) the upward force due to surface tension. So it is clear that if the the bore (radius) to the tube is decreased, the height of the water column in it must be greater. So, (a) is correct.

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Filed Under: Physics

Q:

Two pipes A and B can fill a tank in 24 hours and $17 \frac{1}{7}$ hours respectively. Harihar opened the pipes A and B to fill an empty tank and some times later he closed the taps A and B , when the tank was supposed to be full. After that it was found that the tank was emptied in 2.5 hours because an outlet pipe "C" connected to the tank was open from the beginning. If Harihar closed the pipe C instead of closing pipes A and B the remaining tank would have been filled in :

A) 2 hours	B) 8 hours
C) 6 hours	D) 4 hours

Answer & Explanation Answer: B) 8 hours

Explanation:

Efficiency of Inlet pipe A = 4.16% $(\frac{100}{24})$

Efficiency of Inlet pipe B = 5.83% $(\frac{100}{17 \frac{1}{7}})$

Therefore, Efficiency of A and B together = 100 %

Now, if the efficiency of outlet pipe be x% then in 10 hours the capacity of tank which will be filled = 10 * (10 - x)

Now, since this amount of water is being emptied by 'C' at x% per hour, then

$\frac{10 x (10 - x)}{x} = 2.5 h r s$

=> x = 8

Therefore, in 10 hours 20% tank is filled only. Hence, the remaining 80% of the capacity will be filled by pipes A and B in 80/10 = 8 hours

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Filed Under: Time and Work
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Q:

There are three boats B1, B2 and B3 working together they carry 60 people in each trip. One day an early morning B1 carried 50 people in few trips alone. When it stopped carrying the passengers B2 and B3 started carrying the people together. It took a total of 10 trips to carry 300 people by B1, B2 and B3. It is known that each day on an average 300 people cross the river using only one of the 3 boats B1, B2 and B3. How many trips it would take to B1, to carry 150 passengers alone?

A) 15	B) 30
C) 25	D) 10

Answer & Explanation Answer: A) 15

Explanation:

Combined efficiency of all the three boats = 60 passenger/trip

Now, consider option(a)

15 trips and 150 passengers means efficiency of B1 = 10 passenger/trip

which means in carrying 50 passengers B1 must has taken 5 trips. So the rest trips equal to 5 (10-5 = 5) in which B2 and B3 together carried remaining 250 (300 - 50 = 250) Passengers.

Therefore the efficiency of B2 and B3 = 250/5 = 50 passenger/trip

Since, the combined efficiency of B1, B2 and B3 is 60. Which is same as given in the first statement hence option(a) is correct.

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Filed Under: Time and Work

Q:

Tickets are numbered from 1 to 18 are mixed up together and then 9 tickets are drawn at random. Find the probability that the ticket has a number, which is a multiple of 2 or 3.

A) 1/3	B) 3/5
C) 2/3	D) 5/6

Answer & Explanation Answer: C) 2/3

Explanation:

S = { 1, 2, 3, 4, .....18 }

=> n(S) = 18

E1 = {2, 4, 6, 8, 10, 12, 14, 16, 18}

=> n(E1) = 9

E2 = {3, 6, 9, 12, 15, 18 }

=> n(E2) = 6

$E 3 = (E 1 \cap E 2) = {6, 12, 18}$

=> n(E3) = 3

$∴ E = E 1 \cup E 2 = E 1 + E 2 - E 3$

=> n(E) = 9 + 6 - 3 =12

where E = { 2, 3, 4, 6, 8, 9, 10, 12, 12, 14, 15, 16, 18 }

$∴ P (E) = \frac{n (E)}{n (S)} = \frac{12}{18} = \frac{2}{3}$

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Filed Under: Probability

Q:

An unbiased die is rolled. Find the probability of getting a multiple of 3?

A) 1/6	B) 1/3
C) 5/6	D) None of these

Answer & Explanation Answer: B) 1/3

Explanation:

S = { 1, 2, 3, 4, 5, 6 }

=> n(S) = 6

E = { 3, 6}

=> n(E) = 2

Therefore, P(E) = 2/6 =1/3

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Filed Under: Probability

Q:

The following question consist of two words each that have a certain relationship to each other, followed by lettered pairs of words . Select the lettered pair that has the same relationship as the original pair of words.

Proscenium : Stage

A) Lamp : Table	B) Lines : Bed
C) Portico : House	D) Compass : Needle

Answer & Explanation Answer: C) Portico : House

Explanation:

First is a part of the second.

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Filed Under: Analogy

Q:

The Bhakra Nangal Multipurpose proje3ct is a joint venture of _____

A) Punjab and Haryana only	B) Punjab,Haryana and Rajasthan only
C) Punjab, Haryana, Rajasthan and Himachal Pradesh	D) Punjab and Himachal Pradesh only

Answer & Explanation Answer: B) Punjab,Haryana and Rajasthan only

Explanation:

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Filed Under: Indian Geography

Q:

Who of the following was the first scientific geographer who ascertained the length of equator on sound principles?

A) Herodotus	B) Hecataeus
C) Anaximander	D) Eratosthenes

Answer & Explanation Answer: D) Eratosthenes

Explanation:

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Filed Under: World Geography

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