Quantitative Aptitude - Arithmetic Ability Questions

Q:

A cow s tethered in the middle of a field with a 14feet long rope.If the cow grazes 100 sq feet per day, then approximately what time will be taken by the cow to graze the whole field?

A) 616 B) 716
C) 816 D) 516
 
Answer & Explanation Answer: A) 616

Explanation:

area of the field grazed = (22/7) * 14 * 14 = 616 sq feet

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Q:

If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is:

A) 1:1 B) 1:2
C) 1:3 D) 1:4
 
Answer & Explanation Answer: A) 1:1

Explanation:

A square and a rhombus on the same base are equal in area

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10 13871
Q:

What is the rate of simple interest?
I. The total interest earned was Rs. 4000.
II. The sum was invested for 4 years.

A) I alone sufficient while II alone not sufficient to answer B) II alone sufficient while I alone not sufficient to answer
C) Either I or II alone sufficient to answer D) Both I and II are not sufficient to answer
 
Answer & Explanation Answer: D) Both I and II are not sufficient to answer

Explanation:

We know that, R = (100 x S.I) / (P x T)

Now I gives, S.I = Rs. 4000.

        II gives,  T = 4 years.

But, P is unknown. So, we cannot find R.

So, given data is insufficient to get R.

 

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3 13864
Q:

Lagaan is levied on the 60% of the cultivated land. The revenue department collected total Rs. 3,84,000 through the lagaan from the village of Sukhiya. Sukhiya, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Sukhiya over the total taxable land of the village is:

A) 0.15% B) 15%
C) 0.125% D) None of these
 
Answer & Explanation Answer: D) None of these

Explanation:

Total land of Sukhiya = 480x/0.6 = 800x

 

Cultivated land of village = 384000x

 

Required percentage = 800x384000x 100 = 0.20833

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16 13837
Q:

A shopkeeper sold a mobile phone for Rs. 12000. Had he offered discount of 10% on the selling price, there would be a loss of 4%. What is the cost price of that Mobile phone?

A) Rs. 12,500 B) Rs. 11,250
C) Rs. 12,750 D) Rs. 11,680
 
Answer & Explanation Answer: B) Rs. 11,250

Explanation:

Given that SP = Rs. 12000 - 10%  = Rs. 10,800

Loss% = 4

We know that, C.P = 100/(100 - Loss%) x 100

=> 100/100-4 x 10800

=> 1080000/96

C.P = Rs. 11,250

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14 13823
Q:

Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a girl sitting at window seat in the slower train in 32 seconds. Find the length of the faster train ?

A) 170 m B) 100 m
C) 270 m D) 320 m
 
Answer & Explanation Answer: D) 320 m

Explanation:

Relative speed = (72 - 36) x 5/18 = 2 x 5 = 10 mps.
Distance covered in 32 sec = 32 x 10 = 320 m.

The length of the faster train = 320 m.

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11 13820
Q:

n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2*n is divided by 4 ?

A) 3 B) 2
C) 1 D) 0
 
Answer & Explanation Answer: B) 2

Explanation:

Let n=4*q + 3. Then, 2*n = 8*q + 6 = 4(2*q + 1) + 2.
Thus when 2*n is divided by 4, the reminder is 2.

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22 13814
Q:

If the diagonals of a rhombus are 24cm and 10cm the area and the perimeter of the rhombus are respectively.

A) 10 B) 11
C) 12 D) 13
 
Answer & Explanation Answer: D) 13

Explanation:

Area = 12*diagonal1*12diagonal2 = 12*24*10 sq.cm  

 

12*daigonal1=12*24=12cm 

 

12*diagonal2=12*10=5cm 


side of a rhombus = (12)² + (5)² = 169      => AB = 13cm

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