Quantitative Aptitude - Arithmetic Ability Questions

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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Q:

100 percent of which number is 20?

A) 100 B) 500
C) 20 D) 0
 
Answer & Explanation Answer: C) 20

Explanation:

Let the rquired number be 'P'

According to the question,

100 x P100 = 20=> P = 20 x 100100 = 20

Hence, 100 percent of the number 20 is 20.

 

Now, you can also try for

20 percent of what number is 100

20 x P100 = 100=> P = 100 x 10020 = 500=> P = 500

Hence, 20 percent of the number 500 is 100.

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13 5183
Q:

2660 of 17 of 12 of 19.5 of 12 = ?

A) 1 B) 10
C) 0.1 D) 100
 
Answer & Explanation Answer: B) 10

Explanation:

17x12x19.5x12x 2660 = 2660266 = 10

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Filed Under: Simplification
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3 5183
Q:

 A and B entered in a business by making investment of Rs. 4000 & Rs. 5500 respectively. After six months A & B withdrew Rs. 1000 and Rs. 1500 respectively and C joined them with capital of Rs. 4x. If after one year and three months C received Rs. 2250 as profit share out of total profit of Rs. 12250, then find investment of C? 

A)  Rs. 3600  B)  Rs. 3200 
C)  Rs. 4400  D)  Rs. 3000 
 
Answer & Explanation Answer: D)  Rs. 3000 

Explanation:

 Investment ratio of A, B & C = (4000 ×6+3000×9):(5500 ×6+4000×9):4

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Filed Under: Partnership
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Q:

Sandeep got Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Saketh earned at the end of one year. If Sandeep invested Rs. 20000 for 6 months, whereas Saketh invested his amount for the whole year, the amount invested by Saketh?

A) Rs. 5000 B) Rs. 6200
C) Rs. 8100 D) R. 7600
 
Answer & Explanation Answer: A) Rs. 5000

Explanation:

Let the amount invested by saketh = RS. p

Now, that of sandeep = 20,000 x 6

saketh = 12 x p

Ratio of their earnings = 120000 : 12p = 6000 : (9000 - 6000)

=> 12000012p = 60003000 => p= Rs. 5000

Hence, the amount investe by saketh  = Rs. p  = Rs. 5000.

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Q:

A jar can 20 litre milk. From the jar, 4 litres milk was taken out and replaced with an equal quantity of water. If 4 litres of the newly formed mixture is taken out of the can, then what is the final quantity of milk left in the can?

A) 14.5 lit B) 12.8 lit
C) 11.6 lit D) 10.46 lit
 
Answer & Explanation Answer: B) 12.8 lit

Explanation:

This can be solved as

 

20 1 - 4202  =  20 1 - 152= 20452= 20 1625= 645= 12.8

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11 5175
Q:

A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?

A) 34 B) 40
C) 68 D) 88
 
Answer & Explanation Answer: D) 88

Explanation:

We have: l = 20 ft and lb = 680 sq. ft.

So, b = 34 ft.

Length of fencing = (l + 2b) = (20 + 68) ft = 88 ft.

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2 5173
Q:

Find value of log27 +log 8 +log1000log 120

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

Explanation:

 = log 33 + log 23+ log 103log10×3×22 

 

 

 

=log33 12+log 23+log 10312log(10×3×22)  

 

 

 

 

 

 

 

=12log 33+3 log 2+12 log103log10+log3+log22  

 

 

 

 

 

 

 

=32log 3 + 2 log 2 + log 10log 3 + 2 log 2 + log 10 = 32  

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