Aptitude and Reasoning Questions

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:

The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:

A) 15360 B) 153600
C) .30720 D) 307200
 
Answer & Explanation Answer: B) 153600

Explanation:

Perimeter = Distance covered in 8 min. = (12000/60) * 8 = 1600m 

Let length = 3x metres and breadth = 2x metres.  

Then, 2(3x + 2x) = 1600 or x = 160.  

Length = 480 m and Breadth = 320 m.

Area = (480 x 320) = 153600 

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Q:

 If n is even, which of the following cannot be odd?

A) n+3 B) 2n
C) n+4 D) 3n
 
Answer & Explanation Answer: B) 2n

Explanation:

In case B, odd times even will give even

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Filed Under: Numbers
Exam Prep: GRE

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Q:

Hemavathi cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is fifteen grams in weight. If she has nine pieces of the cake in all with her, how heavy was the original cake ?

A) 240 gms B) 280 gms
C) 180 gms D) 170 gms
 
Answer & Explanation Answer: A) 240 gms

Explanation:

The nine pieces consist of 8 smaller equal pieces and one half cake piece.
Weight of each small piece = 15 g.
So, total weight of the cake = [2 x (15 x 8)]g = 240 g.

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Filed Under: Arithmetical Reasoning
Exam Prep: Bank Exams
Job Role: Bank Clerk

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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:

In a hoel, 60% had vegetarian lunch while 30% had non-vegetaian lunch and 15% had both types of lunch. If 96 people were present, how many did not eat either type of lunch ?

A) 24 B) 30
C) 36 D) 42
 
Answer & Explanation Answer: A) 24

Explanation:

n (A) = (60/100 * 96) = 288/5, n (B) = (30/100 * 96) = 144/5, n (A ∩ B) = (15/100 * 96) = 72/5.

n(A ∪ B) = n (A) + n (B) - n (A ∩ B) = 72.

So, people who had either or both types of lunch = 72.

Hence, people who had neither type of lunch = (96 - 72)= 24.

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Q:

If the letters of the word OBSERVANT are interchanged, such that the first becomes ninth, second becomes eighth and so on, and the position of the fifth letter remains unchanged then what will be the new arrangement of letters?

A) TNAVERSBO B) TNAVRESBO
C) NTAVERSBO D) VANTRESBO
 
Answer & Explanation Answer: B) TNAVRESBO

Explanation:

Given word is O B S E R V A N T. After making the change as given in the question, we get the following arrangement:

T N A V R E S B O. 

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Filed Under: Alphabet Test

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Q:

Madhu got 32% of the maximum marks in a Bank examination and failed by 8 marks. However, Kumar who took the same examination got 42% of the total marks and got 16 marks more than the cut-off marks. What was the cut-off marks in the examination ?

A) 76.8 B) 86.8
C) 78.8 D) 84.8
 
Answer & Explanation Answer: D) 84.8

Explanation:

Let 'M' be the maximum marks in the examination.

Therefore, Madhu got 32% of M = 32M/100 = 0.32M
And Kumar got 42% of M = 42M/100 = 0.42M.
In terms of the maximum marks Kumar got 0.42M - 0.32M = 0.1M more than Madhu. ---- (1)

The problem however, states that Kumar got 16 marks more than the cut-off mark and Madhu got 8 marks less than the cut-off mark. Therefore, Kumar has got 16 + 8 = 24 marks more than Madhu. ---- (2)

Now, Equating (1) and (2), we get
0.1M = 24 => M = 24/0.1 = 240
'M' is the maximum mark and is equal to 240 marks.
We know that Madhu got 32% of the maximum marks.
Therefore, Madhu got 32 x 240/100 = 76.8 marks.
We also know that Madhu got 8 marks less than the cut-off marks.

Therefore, the cut-off marks will be 8 marks more than what Madhu got
= 76.8 + 8 = 84.8.

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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