Quantitative Aptitude - Arithmetic Ability Questions

Q:

A milkman claims to sell milk at its cost price, still, he is making a profit of 30% since he has mixed some amount of water in the milk. What is the % of milk in the mixture?

A) 71.02% B) 76.92%
C) 63.22% D) 86.42%
 
Answer & Explanation Answer: B) 76.92%

Explanation:

Let the milk he bought is 1000 ml

Let C.P of 1000 ml is Rs. 100

Here let he is mixing K ml of water

He is getting 30% profit

=> Now, the selling price is also Rs. 100 for 1000 ml

=> 100 : K%

= 100 : 30

10 : 3 is ratio of milk to water

=> Percentage of milk = 10 x 100/13 = 1000/13 = 76.92%

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Filed Under: Alligation or Mixture
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Q:

A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group ?

A) 600 B) 610
C) 609 D) 599
 
Answer & Explanation Answer: A) 600

Explanation:

Two men, three women and one child can be selected in ⁴C₂ x ⁶C₃ x ⁵C₁ ways = 600 ways.

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Filed Under: Permutations and Combinations
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6 15742
Q:

Albert invested an amount of Rs. 8000 in a fixed deposit scheme for 2 years at compound interest rate 5 p.c.p.a. How much amount will Albert get on maturity of the fixed deposit

A) Rs.8820 B) Rs.8620
C) Rs.8520 D) Rs.8320
 
Answer & Explanation Answer: A) Rs.8820

Explanation:

 

Amount = Rs.8000*1+51002=Rs.8820

 

 

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Filed Under: Compound Interest
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12 15738
Q:

If the rate increases by 2%, the simple interest received on a sum of money increases by Rs. 108. If the time period is increased by 2 years, the simple interest on the same sum increases by Rs.180. The sum is ?

A) Rs. 540 B) Rs. 415
C) Rs. 404 D) Data is not sufficient
 
Answer & Explanation Answer: D) Data is not sufficient

Explanation:

Let the sum be Rs. p, rate be R% p.a. and time be T years.

Then,

 P×T×(R+2)100-P×T×R100=108  2PT= 10800  ...... (1)

 And, 

 P×R×(T+2)100-P×R×T100=180   2PR = 18000 ......(2)

Clearly, from (1) and (2), we cannot find the value of p
So, the data is not sufficient.

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Filed Under: Simple Interest
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11 15717
Q:

If the perimeters of a square and a rectangle are the same, then the area a & b enclosed by them would satisfy the condition:

A) a B) a>b
C) a=b D) none
 
Answer & Explanation Answer: B) a>b

Explanation:

Take a square of side 4cm and a rectangle having l=6cm and b=2cm

then perimeter of square = perimeter of rectangle

area of square = 16 sq.cm

area of rectangle = 12 sq.cm

Hence a >b

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Filed Under: Area
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8 15696
Q:

The area of a square field is 69696sq.cm..its diagonal will be equal to

A) 373 B) 573
C) 473 D) 673
 
Answer & Explanation Answer: A) 373

Explanation:

d=2*s=>d=2*69696

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Filed Under: Area
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Q:

If yesterday were tomorrow, then today would be Friday. What day is today?

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

Explanation:

If yesterday were tomorrow, today is Friday => tomorrow of friday is Saturday.

 

Hence, it implies that today is Sunday if tomorrow is Saturday.

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Filed Under: Calendar
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86 15677
Q:

The wheel of a motorcycle 70cm in diameter makes 40 revolutions in every 10sec.What is the speed of motorcycle n km/hr?

A) 13.68kmph B) 31.68kmph
C) 41.68kmph D) 45.68kmph
 
Answer & Explanation Answer: B) 31.68kmph

Explanation:

In this type of question, we will first calculate the distance covered in given time.

 

Distance covered will be : Number of revolutions x Circumference 

 

So we will be having distance and time, from which we can calculate the speed. 

 

Radius of wheel = 70 / 2 = 35 cm

 

Distance covered in 40 revolutions will be 40*circumferene=40*2πr=40*2*227*35=8800cm = 88 m

 

Distance covered in 1 sec  = 8810=8.8m/s=8.8*185km/hr=31.68km/hr

 

 

 

 

 

 

 

 

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Filed Under: Area
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