Aptitude and Reasoning Questions

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:

If 16 men working 7 hours day can plough a fieid in 4l days, inhow many days will 14 men working 12 hours a clay plough the samefield ?

A) 46 B) 32
C) 35 D) 30
 
Answer & Explanation Answer: B) 32

Explanation:

(Men 14 : 16) : (Hrs/Day 12 : 7) :: 48 : x
14 * 12 * x = 16 * 7 * 48 or x = 32

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Filed Under: Chain Rule

11 5717
Q:

The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

A) 25% increase B) 50% increase
C) 50% decrease D) 75% decrease
 
Answer & Explanation Answer: B) 50% increase

Explanation:

Let original length = x and original breadth = y.

Original area = xy.

 

New length = x/2 and New breadth = 3y.

New area = (x/2 * 3y) = (3/2 )xy

 

Therefore,  Increase % = [(1/2)xy * (1/xy) * 100] % = 50%

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0 5716
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

5 5712
Q:

Manju borrows Rs.5000 for 2 years at 4% p.a. simple interest from Sudha. She immediately lends it to another person at 6 1⁄4% p.a for 2 years. Find her gain in the transaction per year.

A) Rs. 101 B) Rs. 98.5
C) Rs. 124.3 D) Rs. 112.5
 
Answer & Explanation Answer: D) Rs. 112.5

Explanation:

Manju borrows Rs. 5000 for 2 years at 4% p.a. simple interest 

She also lends it at 6 1⁄4% p.a for 2 years 

=> Total Gain = 6 1/4% − 4% = 2 1/4%

So her gain in the transaction for 1 year

= The simple interest she gets for Rs.5000 for 1 year at 2 1⁄4% per annum

PTR100=5000×94×1100 = Rs. 112.5/ year.

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Filed Under: Simple Interest
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

19 5708
Q:

A $1000 face value Series S50 compound interest Canada Savings Bond (CSB) was presented to a credit union branch for redemption.What amount did the owner receive if the redemption was requested on:January 17, 2001?

A) 1206 B) 1306
C) 1406 D) 1506
 
Answer & Explanation Answer: B) 1306

Explanation:

I  = ptr

Therefore, the total amount the owner received on January 17, 2001 was

$1295.57 + $10.47 = $1306.04

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

3 5702
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
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

5 5702
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
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

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