Quantitative Aptitude - Arithmetic Ability Questions

Q:

What was the day on 31st Dec,2011 ?

A) Monday B) Saturday
C) Sunday D) Friday
 
Answer & Explanation Answer: B) Saturday

Explanation:

31st Dec, 2011 = (2010 years + Period from 1.1.2011 to 31.12.2011)

Odd days in 2000 years = 0

10 years has 2 leap years + 8 ordinary years.

Number of odd days in 10 years ( 2 x 2 + 8) = 5 odd days.

31st,Dec => complete year of 2011 (non-leap year) = 1 odd day.

Total number of odd days = (0 + 5 + 1) = 6.

Given day is saturday.

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Filed Under: Calendar

6 9476
Q:

In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?

A) 120960 B) 120000
C) 146700 D) None of these
 
Answer & Explanation Answer: A) 120960

Explanation:

In the word 'MATHEMATICS', we treat the vowels AEAI as one letter.

 

Thus, we have MTHMTCS (AEAI).

 

Now, we have to arrange 8 letters, out of which M occurs twice, T occurs twice and the rest are different.

 

Number of ways of arranging these letters = 8!/(2! x 2!)= 10080.

 

Now, AEAI has 4 letters in which A occurs 2 times and the rest are different.

 

Number of ways of arranging these letters =4!/2!= 12.

 

Required number of words = (10080 x 12) = 120960

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3 9471
Q:

A machine puts c caps on bottles in m minutes. How many hours will it take to put caps on b bottles

A) 60bm/c B) bm/60c
C) bc/60m D) 60b/cm
 
Answer & Explanation Answer: B) bm/60c

Explanation:

Substitute sensible numbers and work out the problem. Then change the numbers back to letters. For example if the machine puts 6 caps on bottles in 2 minutes, it will put 6 /2 caps on per minute, or (6 /2) x 60 caps per hour. Putting letters back this is 60c/m.If you divide the required number of caps (b) by the caps per hour you will get time taken in hours. This gives bm/60c

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Filed Under: Time and Distance
Exam Prep: GRE

16 9462
Q:

If you have 6 New Year greeting cards and you want to send them to 4 of your friends, in how many ways can this be done?

A) 720 B) 360
C) 240 D) 740
 
Answer & Explanation Answer: B) 360

Explanation:

We have to find number of permutations of 4 objects out of 6 objects.

 

This number is 6P4= 360

 

Therefore, cards can be sent in 360 ways.

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8 9459
Q:

(0.2 * 0.2 + 0.01) ( 0.1 * 0.1 + 0.02)^(-1) is equal to :

A) 5/3 B) 9/3
C) 11/3 D) 13/3
 
Answer & Explanation Answer: A) 5/3

Explanation:

Given = (0.2 * 0.2 + 0.01) / ( 0.1 * 0.1 + 0.02) = (0.04 + 0.01) / (0.01 + 0.02) = 0.05 / 0.03 = 5/3...

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Filed Under: Decimal Fractions

12 9440
Q:

Anu's present age is 9 years more than that of what Raj's age will be after five years. Raj's present age is seven years more than that of what Renu's age was 4 years ago. Renu's present age is 19 years. What will be Anu's age after 5 years ?

A) 39 yrs B) 36 yrs
C) 46 yrs D) 41 yrs
 
Answer & Explanation Answer: D) 41 yrs

Explanation:

Anu = (Raj + 5) + 9

= Raj + 14 -------- (I)

Raj = (Renu - 4) + 7

= Renu + 3 ------- (II)

Raj's age = 19 + 3 = 22 years

After 5 years Anu's age = 22 + 14 + 5 = 41 years

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Filed Under: Problems on Ages
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

9 9440
Q:

The Present worth of Rs.2310 due 212 years hence ,the rate of interest being 15% per annum, is :

A) Rs.1440 B) Rs.1750
C) Rs.1680 D) Rs.1840
 
Answer & Explanation Answer: C) Rs.1680

Explanation:

P.W=Rs.100×2310100+15×52 = Rs.1680

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Filed Under: True Discount

0 9440
Q:

10 men, working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the work in 12 days ?

A) 4 hours a day B) 5 hours a day
C) 6 hours a day D) 7 hours a day
 
Answer & Explanation Answer: C) 6 hours a day

Explanation:

More Men, Less Hours {Indirect Proportion}

Less Days, More Hours {Indirect Proportion}

 men15 : 10days12 : 18  6:x

 

=> 15 * 12 * x = 10 * 18 * 6

=>x = 6

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Filed Under: Chain Rule

8 9421