Quantitative Aptitude - Arithmetic Ability Questions

Q:

If the simple interest on a sum of money at 5% per annum for 3 years is Rs. 1200, find the compound interest on the same sum for the same period at the same rate.

A) Rs.1251 B) Rs.1261
C) Rs.1271 D) Rs,1281
 
Answer & Explanation Answer: B) Rs.1261

Explanation:

Clearly, Rate = 5% p.a .,

Time = 3 years

S.I =Rs.1200.

So,Principal

=Rs.(100 x 1200/3x5)

=Rs.8000.

 

Amount

=Rs.[8000 x (1+5/100)³]

=Rs(8000x21/20x21/20x21/20)

= Rs.9261

 

C.I

=Rs.(9261-8000)

=Rs.1261.

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Filed Under: Compound Interest
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Q:

Two candidates fought in a municipality election. One of them got 54% of the total votes pooled and won by 1080 votes. What was the total number of votes polled ?

A) 12000 B) 13500
C) 15400 D) 11000
 
Answer & Explanation Answer: B) 13500

Explanation:

Given in municipality election 54% votes have won by 1080

 

Let the total number of votes be x.

 

 54x100 - 46x100 = 1080

 

8x = 108000

 

x = 13,500

 

Therefore, total number of votes = 13,500.

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Q:

What is the profit or loss % when a shopkeeper bought 4 mangoes for Rs. 6 and sold them @ 4 mangoes for Rs. 4?

A) 36.333% B) 33.666%
C) 33.333% D) 36.666%
 
Answer & Explanation Answer: C) 33.333%

Explanation:

Cost of 4 mangoes = Rs. 6 

Cost of 1 mango = Rs. 6/4 = Rs. 1.5

Now, Selling Price of 4 mangoes = Rs. 4

Selling Price of 1 mango = Rs. 4/4 = Rs. 1.0

 

      • We observe that, S.P < C.P

 

Hence, the shopkeeper incurs a loss.

 

Required loss% = loss/C.P x 100

Loss = 1.5 - 1 = 0.5

C.P = 1.5

Loss% = (0.5/1.5) x 100

 = (5/15) x 100

 = 1/3 x 100

 = 100/3

 = 33.333%.

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Filed Under: Profit and Loss
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Q:

Ten years ago, A was half of B in age. If the ratio of their present ages is 3:4, then what will be the total of their present ages?

Answer

Let A's age 10 years ago be x years . Then B's age 10 years ago be 2x years





 Total of their present ages = x + 10 + 2x + 10


= 3x+20


= 3 * 5 + 20 = 35 years


 

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Subject: Problems on Ages

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Q:

A student council of 5 members is to be formed from a selection pool of 6 boys and 8 girls.How many councils can have Jason on the council?

A) 715 B) 725
C) 419 D) 341
 
Answer & Explanation Answer: A) 715

Explanation:

If Jason is on th ecouncil,this reduces the selction pool to only 13 people,out of which we still need to select 4.

 

So, 13C4 = 715

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Q:

What percent is 120 of 85 ?

A) 133.33 % B) 141.17 %
C) 145.54 % D) 139.29 %
 
Answer & Explanation Answer: B) 141.17 %

Explanation:

Px85100=120

 

=> p = 12000/85 = 141.17 %

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Q:

If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost?

A) 48 paise B) 54 paise
C) 56 paise D) 72 paise
 
Answer & Explanation Answer: A) 48 paise

Explanation:

Let the required weight be x kg.

 

 

 

Less weight, Less cost (Direct Proportion)

 

 

 

 250 : 200 :: 60 : x   =>    250 x x = (200 x 60)

 

 

 

=>

 

 

 

=> x = 48.

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Q:

A store owner is packing books into larger boxes that measure 25 by 42 by 60 inches. If the measurement of each book is 7 by 6 by 5 inches, then how many books can be placed in the box ?

A) 175 B) 345
C) 265 D) 300
 
Answer & Explanation Answer: D) 300

Explanation:

Number of books that can be placed in the larger box is given by Volume of Box / Volume of book.
Now, n = 25 x 42 x 60 / 7 x 6 x 5
= 63000 / 210
= 300.
Therefore, 300 books can be in that box.

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Filed Under: Volume and Surface Area
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