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Q:

The distance of the college and home of Rajeev is 80km. One day he was late by 1 hour than the normal time to leave for the college, so he increased his speed by 4km/h and thus he reached to college at the normal time. What is the changed (or increased) speed of Rajeev?

A) 28 km/h	B) 30 km/h
C) 40 km/h	D) 20 km/h

Answer & Explanation Answer: D) 20 km/h

Explanation:

Let the normal speed be x km/h, then

$\frac{80}{x} - \frac{80}{(x + 4)} = 1$

$\Rightarrow$ $x^{2} + 4 x - 320 = 0$

$\Rightarrow$ x (x + 20) - 16 (x + 20) = 0

(x + 20 ) (x - 16) =0

x = 16 km/h

Therefore (x + 4) = 20 km/h

Therefore increased speed = 20 km/h

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Filed Under: Time and Distance

Q:

An urn contains 4 white 6 black and 8 red balls . If 3 balls are drawn one by one without replacement, find the probability of getting all white balls.

A) 5/204	B) 1/204
C) 13/204	D) None of these

Answer & Explanation Answer: B) 1/204

Explanation:

Let A, B, C be the events of getting a white ball in first, second and third draw respectively, then

Required probability = $P (A \cap B \cap C)$

= $P (A) P (\frac{B}{A}) P (\frac{C}{A \cap B})$

Now, P(A) = Probability of drawing a white ball in first draw = 4/18 = 2/9

When a white ball is drawn in the first draw there are 17 balls left in the urn, out of which 3 are white

$∴ P (\frac{B}{A}) = \frac{3}{17}$

Since the ball drawn is not replaced, therefore after drawing a white ball in the second draw there are 16 balls left in the urn, out of which 2 are white.

$∴ P (\frac{C}{A \cap B}) = \frac{2}{16} = \frac{1}{8}$

Hence the required probability = $\frac{2}{9} \times \frac{3}{17} \times \frac{1}{8} = \frac{1}{204}$

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Filed Under: Probability

Q:

In How many ways is it possible to make a selection by taking any number of 15 fruits, namely 3 oranges, 5 apples and 7 mangoes?

A) 131	B) 191
C) 68	D) 3720

Answer & Explanation Answer: B) 191

Explanation:

Out of 15 fruits, 7 are alike of one kind, 5 are alike of a second kind and 3 are alike of a third kind.

Hence, the required number of ways = [ (7+1) (5+1) (3+1) -1] =191

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Filed Under: Permutations and Combinations

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:

Which of the following will be the changed form of the word OBLIQUE when the word is written again by substituting each vowel by the second letter following it in the English alphabet and each consonant is substituted by the third letter following it in the English alphabet?

A) MEDGTSD	B) RDNLSXH
C) QEOKTXG	D) QEOKTWG

Answer & Explanation Answer: D) QEOKTWG

Explanation:

The Given word is OBLIQUE. After making necessary changes that is all vowels are substituted by the next second letter and all consonants are substituted by the next third letter in the English alphabet, we get the following form of the given word: QEOKTWG.

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Filed Under: Alphabet Test

Q:

Which Party was founded by Subhash Chandra Bose in the Year 1939 after he broke away from the congress?

A) Indian Freedom Party	B) Azad Hind Fauj
C) Revolutionary Front	D) Forward Bloc

Answer & Explanation Answer: D) Forward Bloc

Explanation:

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Filed Under: Indian History

Q:

The uranium mines being develope by UCIL at Lambapur and Domiasiat are located, respectively, in which of the following states?

A) Jharkhand and Arunachal Pradesh	B) West Bengal and Assam
C) Andhra Pradesh and Meghalaya	D) Maharashtra and Sikkim

Answer & Explanation Answer: C) Andhra Pradesh and Meghalaya

Explanation:

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Filed Under: Indian Geography

Q:

Air temperatures are effected by slope and orientation as slopes facing into the Sun will be

A) Warmer than those facing away	B) Colder than those facing away
C) Neither warmer nor colder than those facing away	D) None of these

Answer & Explanation Answer: A) Warmer than those facing away

Explanation:

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Filed Under: World Geography

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