Aptitude and Reasoning Questions

Q:

In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may hold all of the toys?

A) 15 B) 10
C) 25 D) 20
 
Answer & Explanation Answer: C) 25

Explanation:

The toys are different; The boxes are identical
If none of the boxes is to remain empty, then we can pack the toys in one of the following ways
a. 2,2,1
b. 3,1,1

Case a. Number of ways of achieving the first option 2−2–1

Two toys out of the 5 can be selected in5C2 5 ways. Another 2 out of the remaining 3 can be selected in3C2 ways and the last toy can be selected in 1C1  way.

However, as the boxes are identical, the two different ways of selecting which box holds the first two toys and which one holds the second set of two toys will look the same. Hence, we need to divide the result by 2.

Therefore, total number of ways of achieving the 2−2–1 option is:

5C2*3C22=10*32=15 ways.

Case b. Number of ways of achieving the second option 3−1–1

Three toys out of the 5 can be selected in 5C3  ways. As the boxes are identical, the remaining two toys can go into the two identical looking boxes in only one way.
Therefore, total number of ways of getting the 3−1–1 option is5C3=10 ways.

Total ways in which the 5 toys can be packed in 3 identical boxes
=number of ways of achieving Case a + number of ways of achieving Case b
=15 + 10 = 25 ways

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0 6660
Q:

If sum of three consecutive numbers is 42 . What will the sum of the digits of middle number .

Answer

Let the numbers be x, x+1, x+2 


Then x + x+1 + x+2 = 42


           =>  3x + 3 = 42


           => 3x = 39 


          =>  x = 13


 


The numbers would be 13, 14, 15 


Therefore, Sum of the digits of middle number = 1+4 = 5

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8 6645
Q:

A car is purchased on hire-purchase. The cash price is $21 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly instalments. Interest is charged at 12% p.a.  What is the monthly instalment?

A) $503 B) $504
C) $505 D) %506
 
Answer & Explanation Answer: B) $504

Explanation:

Cash price = $21 000

Deposit = 10% × $21 000 = $2100 

Loan amount = $21000 − $2100 = $18900

I=p x r x t/100 

I=11340

Total amount = 18900 + 11340 = $30240

Regular payment = total amount /number of payments

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

7 6645
Q:

A bag contains 3 black, 4 white and 5 red balls. One ball is drawn at random. Find the probability that it is either black or red ball:

A) 2/3 B) 1/4
C) 5/12 D) 1/2
 
Answer & Explanation Answer: A) 2/3

Explanation:

P(black ball)=3/12

P(red ball)=5/12

P(black or red)=3/12+5/12=2/3

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Filed Under: Probability

1 6639
Q:

Uma sold an article for 3400 and got a profit of 25%. If he had sold the article for Rs. 3265. How much profit% would Uma have got ?

A) 22% B) 27%
C) 20% D) 18%
 
Answer & Explanation Answer: C) 20%

Explanation:

Given

      125% ---- 3400

=> 100% ---- ?

=> ? = 3400x100/125 = 2720

=> Cost price of the article = Rs. 2720

Profit when article sold at Rs. 3265 = 3265 - 2720 = 545

Hence, Profit% = Gain x 100/cost price

=> P% = 545 x 100/2720

=> P% = 20%

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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15 6638
Q:

 If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?

A) Sunday B) Saturday
C) Tuesday D) Wednesday
 
Answer & Explanation Answer: A) Sunday

Explanation:

ke

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Filed Under: Calendar

6 6631
Q:

Assertive sentences examples list.

Answer

An assertive sentence is a sentence that state, assert, or declare something. It means it is a simple statement making thing. As it declares something, is also called as Declarative sentence.


 


 


 


Examples of assertive sentence or statements ::


 


1. Anamika loves him very much.


 


2. He picks her daily.


 


3. Attitude is everything.


 


4. The sun sets in the west.


 


5. She likes roses.


 


6. He is a student.


 


7. Karthik planned a tour.


 


8. Peacock is a beautiful bird.


 


9. India is our country.


 


10. Joel want to be a doctor.

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Subject: Alphabet Test Exam Prep: TOEFL , GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: IT Trainer , Bank PO , Bank Clerk , Analyst

32 6625
Q:

Munna and Chinna are partners in a firm out of which Munna is sleeping partner and Chinna is working partner. Munna invests Rs. 1,40,000 and Chinna invests Rs. 80,000. Chinna receives 14.5% of profit for managing the business and the rest is shared between both in ratio of their investments. Munna's share in the profit of Rs. 19600 is ?

A) Rs. 9580.25 B) Rs. 10600
C) Rs. 10664.15 D) Rs. 11060.48
 
Answer & Explanation Answer: C) Rs. 10664.15

Explanation:

Profit received by Chinna as working partner = 14.5% of Rs. 19600

= 14.5x19600/100 = Rs. 2842

Balance in profit = 19600-2842 = Rs. 16758

Ratio of investment of Chinna & Munna = 80,000 : 1,40,000 = 4 : 7

Hence share of Chinna in investment = 4x16758/100 = Rs. 6093.85

Therefore, Share of Munna = 19600 - 2842 - 6093.85 = Rs. 10664.15

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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7 6624