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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

If (7x+5) deg and (x+5) deg are complementary angles, then find the value of x.

 

 

A) 10 B) 20
C) 30 D) 40
 
Answer & Explanation Answer: A) 10

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

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Q:

The average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20kg. If the average weight of the whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in the same class?

A) 14 and 16 B) 13 and 27
C) 17 and 27 D) None of these
 
Answer & Explanation Answer: B) 13 and 27

Explanation:

Total no.of boys : no. of girls = 13:27

       27             :                13

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Filed Under: Alligation or Mixture

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Q:

The difference between the compound interest and the simple interest on a certain sum at 12% p.a. for two years is Rs.90. What will be the value of the amount at the end of 3 years?

A) 8560 B) 8673
C) 8746 D) 8780.80
 
Answer & Explanation Answer: D) 8780.80

Explanation:

when interest is reckoned using compound interest, interest being compounded annually. The difference in the simple interest and compound interest for two years is on account of the interest paid on the first year's interest  Hence 12% of simple interest = 90 => simple interest =90/0.12 =750.

As the simple interest for a year = 750 @ 12% p.a., the principal =750/0.12 = Rs.6250.

If the principal is 6250, then the amount outstanding at the end of 3 years = 6250 + 3(simple interest on 6250) + 3 (interest on simple interest) + 1 (interest on interest on interest) = 6250 +3(750) + 3(90) + 1(10.80) = 8780.80.

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

20 27890
Q:

What time will it be 18 hours from now in India, if in the USA it is 4:15 AM?

(Hint : IST = US + 9:30 hrs)

A) 1:45 in the afternoon B) 7:45 in the evening
C) 7:45 in the next morning D) 1:45 in the next morning
 
Answer & Explanation Answer: C) 7:45 in the next morning

Explanation:

We know that the time difference between India and USA is 9 hrs 30 min.

India is 9:30 hrs ahead of USA.

Time in India = 4:15 + 9:30 = 13:45 PM.

Required Time after 18 hrs = 13:45 + 18 hrs = 7:45 AM.

 

Hence it is 7:45 AM on the next morning.

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Filed Under: Clocks
Exam Prep: AIEEE , Bank Exams , CAT , GRE , TOEFL
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer , Network Engineer

20 27877
Q:

Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?

A) 10 : 5 B) 15 : 2
C) 20 : 2 D) 25 : 2
 
Answer & Explanation Answer: D) 25 : 2

Explanation:

Indian stamps are common to both ratios. Multiply both ratios by factors such that the Indian stamps are represented by the same number.

US : Indian = 5 : 2, and Indian : British = 5 : 1. Multiply the first by 5, and the second by 2. 

Now US : Indian = 25 : 10, and Indian : British = 10 : 2

Hence the two ratios can be combined and US : British = 25 : 2

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Filed Under: Ratios and Proportions
Exam Prep: GRE

220 27876
Q:

Consider the following frequency distribution:

x     f

8     6

5     4

6     5

10    8

9     9

4     6

7     4

What is the median for the distribution?

A) 6 B) 7
C) 8 D) 9
 
Answer & Explanation Answer: C) 8

Explanation:
Summation of frequencies = 6+4+5+8+9+6+4 = 42
Median = mid value = average of 21st and 22nd value
Arranging data in increasing order we get

x     f

4     6

5     4

6     5

7     4

8     6

9     9

10    8

 
So mid value i.e 21st and 22nd value = 8
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Filed Under: Average
Exam Prep: Bank Exams

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Q:

A shopkeeper sells one-third of his goods at a profit of 10%, another one-third at a profit of 20%, and the rest at a loss of 6%.What is his overall profit percentage ?

A) 6% B) 8%
C) 10% D) 12%
 
Answer & Explanation Answer: B) 8%

Explanation:

Let the shopkeeper buy 300g for Rs.300. Now he sells 100g for Rs.110, another 100g for Rs120, and the rest 100g for Rs94. 

 

Therefore, the total amount he receives = Rs.110 + Rs.120 + Rs.94 = 324. 

 

Therefore, the shopkeeper spends Rs.300 and gets back Rs.324.

 

Therefore, his profit percentage = 24300x100 % = 8%

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

51 27843
Q:

A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more thanC. Out of a total profit  of Rs. 35,000, A receives :

A) 14700 B) 15000
C) 12000 D) 13500
 
Answer & Explanation Answer: A) 14700

Explanation:

Let C = x. Then, B = x + 5000  and A =  x + 5000 + 4000 = x + 9000.

So,  x + x + 5000 + x + 9000 = 50000  <=>  3x = 36000  <=>

x = 12000.

A : B : C =  21000 : 17000 : 12000 = 21 : 17 : 12.

A's share = Rs. (35000 * 21/50 ) = Rs. 14,700.

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Filed Under: Partnership

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