Aptitude and Reasoning Questions

Q:

A school committee of 5 is to be formed from 12 students.How many committees can be formed if John must be on the committee?

A) 11P4 B) 11C4
C) 11P5 D) 11C5
 
Answer & Explanation Answer: B) 11C4

Explanation:

If John must be on the committee,we have 11 students remaining,out of which we choose 4. So,11C4

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Q:

From a deck of 52 cards, a 5 card hand is dealt.How may distinct five card hands are there if the queen of spades and the four of diamonds must be in the hand?

A) 52C5 B) 50C3
C) 52C4 D) 50C4
 
Answer & Explanation Answer: B) 50C3

Explanation:

If the queen of spades and the four of diamonds must be in hand,we have 50 cards remaining out of which we are choosing 3.

 

So, 50C3

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Q:

A Bus is running at 9/10 of its own speed reached a place in 22 hours. How much time could be saved if the bus would run at its own speed ?

A) 1.5 hrs B) 1.7 hrs
C) 2.2 hrs D) 3.5 hrs
 
Answer & Explanation Answer: C) 2.2 hrs

Explanation:

Let the original Speed be "s" kmph
And the usual time be "t" hrs
Given that if the bus is running at 9s/10 kmph the time is 22 hrs
=> [9s/10] x 22 = t x s
=> 99/5 = t
=> t = 19.8 hrs

 

Hence, if bus runs at its own speed, the time saved = 22 - 19.8 = 2.2 hrs.

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Filed Under: Time and Distance
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Q:

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

If the first half of the given alphabets are written in reverse order which letter should be 8th letter to the left of 14th letter from the right?

A) E B) G
C) J D) None of these
 
Answer & Explanation Answer: D) None of these

Explanation:

8th letter of the left of 14th letter from the right means (8 + 14 =) 22nd letter from the right. 22nd letter from the right means (26 - 22 + 1 =) 5th letter from the left.  We know that 5th letter falls into the first half of the series which is reversed.

Hence, the required letter is (13 - 5 + 1 =) 9th letter from the left of the English alphabet.

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Filed Under: Alphabet Test

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Q:

Hooke is related to cells in the same way as Mulder is related to

A) Carbohydrates B) Minerals
C) Vitamins D) Proteins
 
Answer & Explanation Answer: D) Proteins

Explanation:

Hooke dicovered the Cells. Similarly, Mulder discovered the protiens. 

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Filed Under: Analogy

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Q:

The length of two superfast trains are 140 mts and 160 mts respectively. If they run at the speed of 60 km/hr and 80 km/hr respectively in opposite direction, find the time in which they will cross each other ? 

A) 7.71 sec B) 10.48 sec
C) 9.36 sec D) 8.45 sec
 
Answer & Explanation Answer: A) 7.71 sec

Explanation:

Given L1 = 140 m

L2 = 160 m

S1 = 60 km/hr

S2 = 80 km/hr

From the question we get,

S1 + S2 = (L1 + L2) / T

=> (60 + 80) 5/18 m/s = 140 + 160/T

=> T = 54/7 = 7.71 sec

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Filed Under: Problems on Trains
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Q:

Mathematics : Numbers :: History : ?

A) Wars B) People
C) Events D) Dates
 
Answer & Explanation Answer: C) Events

Explanation:

Mathematics is the theory of numbers and history is the theory of past events.

Hence Mathematics : Numbers :: History : Events.

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Filed Under: Analogy
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Q:

There are two examinations rooms P and Q. If 10 students are sent from P to Q, then the number of students in each room is the same. If 20 candidates are sent from Q to P, then the number of students in P is double the number of students in Q. The number of students in room Q is ?

A) 100 B) 70
C) 120 D) 80
 
Answer & Explanation Answer: D) 80

Explanation:

If 'k' is number of students in P and 'l' is number of students in Q, then
From the given conditions, we have
=> k - 10 = l + 10 .......(1)
=> k + 20 = 2(l - 20) ....(2)

Solving these eqns, we get
k = 100 and l = 80.
Therefore, number of students in class Q is 80.

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Filed Under: Arithmetical Reasoning
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