# NIACL AO Prelims – Quantitative Aptitude Questions Day- 79

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NIACL AO Prelims โ Quantitative Aptitude Questions Day- 79

maximum of 10 points

1) Three pipes A, B and C can fill a tank in 18 hours. After working at it together for 6 hours, C is closed and A and B can fill the remaining part in 16 hours. How much time taken by C to fill the tank alone?

a) 66 hours

b) 60 hours

c) 72 hours

d) 54 hours

e) None of these

2) Perimeter of a rectangle is x meter and circumference of a circle is 8 meter more than the perimeter of the rectangle. Ratio of radius of circle and length of the rectangle is 1 : 2 and ratio of length and breadth of rectangle is 7 : 3. Find the length of the rectangle?

a) 18 m

b) 24 m

c) 28 m

d) 30 m

e) None of these

3) 3 years ago, Ganesh and Magathiโs age is in the ratio of 3 : 4. Sum of their present ages are 7 years more than Manoโs present age. Find the present age of Mano, if Magathiโs age after 4 years is 35 years?

a) 20 years

b) 48 years

c) 28 years

d) 22 years

e) None of these

4) P, Q and R started a business by investing Rs. 15000, Rs. 18000 and Rs. 24000 respectively. After 3 months, P invested 40 % of the initial investment more. And after 5 months, R withdraw Rs. 4000. Find the share of Q, if the total profit at the end of the year is Rs. 61370?

a) Rs. 18360

b) Rs. 19520

c) Rs. 20480

d) Rs. 17500

e) None of these

5) A customer sold an article at 20% discount on the marked price, yet he got 12% profit on the cost price. If the cost price of the article is Rs. 250, then selling price is what percent of marked price?

a) 120 %

b) 150 %

c) 80 %

d) 65 %

e) 100 %

Directions (Q. 6 โ 10) Study the following information carefully and answer the given questions:

The following table shows the temperature (In ยฐC) in various cities in different months in the year 2017.

6) Find the difference between the total temperatures in Delhi to that in Hyderabad in all the given months together?

a) 15ยฐC

b) 4ยฐC

c) 22ยฐC

d) 18ยฐC

e) None of these

7) Find the ratio between the total temperature in the month of August to that of October in all the given cities together?
a) 65 : 53

b) 12 : 5

c) 33 : 17

d) 97 : 15

e) None of these

8) Find the average temperature in the month of December in all the given cities together?

a) 38.6ยฐC

b) 41.2ยฐC

c) 33.5ยฐC

d) 35.4ยฐC

e) None of these

9) The total temperature in Chennai in all the given months together is approximately what percentage of the total temperature in Lucknow in all the given months together?

a) 72ยฐC

b) 87ยฐC

c) 56ยฐC

d) 95ยฐC

e) 105ยฐC

10) The total temperature in the month of July is approximately what percentage of the total temperature in the month of November in all the given cities together?

a) 108 %

b) 97 %

c) 122 %

d) 135 %

e) 76 %

Three pipes A, B and C can fill a tank in 18 hours.

A, B and Cโs 1 hour work = 1/18

A, B and Cโs 6 hour work = 6/18 = 1/3

Remaining work = 1 – 1/3 = 2/3

The remaining part will be filled by A and B in 6 hours. Then,

= > (2/3)*(A+B) = 16

= > (A+B)โs whole work = 24 hr

(A+B)โs 1 hour work = 1/24

A, B and Cโs 1 hour work = 1/18

Cโs 1 hour work= (A+B+C) – (A+B)

= > (1/18) โ (1/24)

= > 1/72

C can fill the tank in 72 hours.

Perimeter of rectangle = 2*(l + b) = x

2l + 2b = x and 2ฯr = x + 8

r/l = 1/2 and l/b = 7/3

r : l : b = 7 : 14 : 6 (7y, 14y, 6y)

2ฯr = x + 8

2ฯr = 2l + 2b + 8

2*(22/7)*7y = 2*14y + 2*6y + 8

44y = 28y + 12y + 8

44y โ 40y = 8

4y = 8

Y = 2

Length of the rectangle = 14y = 28 m

3 years ago, the ratio of ages of Ganesh and Magathi = 3 : 4 (3x, 4x)

Magathiโs age after 4 years = 35 years

Magathiโs present age = 31 years

4โs = 28

1โs = 7

Ganeshโs present age = 3x + 3 = 24 years

According to the question,

31 + 24 = 7 + Manoโs present age

55 โ 7 = Manoโs present age

Manoโs present age = 48 years

The share of P, Q and R

= > [15000*3 + 15000*(140/100)*9] : [18000*12] : [24000*8 + 20000*4]

= > 234000 : 216000 : 272000

= > 117 : 108 : 136

361โs = 61370

1โs = 170

The share of Q = 108โs = Rs. 18360

MP*(80/100) = 250*(112/100)

MP = 250*(112/100)*(100/80)

MP = Rs. 350

SP = 250*(112/100) = 280

Required % = (280/350)*100 = 80 %

Directions (6-10):

The total temperature in Delhi in all the given months together

= > 41 + 43 + 37 + 33 + 29 + 31 = 214ยฐC

The total temperature in Hyderabad in all the given months together

= > 44 + 42 + 27 + 29 + 32 + 36 = 210ยฐC

Required difference = 214 โ 210 = 4ยฐC

The total temperature in the month of August in all the given cities together

= > 32 + 43 + 37 + 41 + 42 = 195ยฐC

The total temperature in the month of October in all the given cities together

= > 28 + 33 + 36 + 33 + 29 = 159ยฐC

Required ratio = 195 : 159 = 65 : 53

The total temperature in the month of December in all the given cities together

= > 38 + 31 + 45 + 27 + 36 = 177ยฐC

Required average = 177/5 = 35.4ยฐC

The total temperature in Chennai in all the given months together

= > 36 + 32 + 30 + 28 + 34 + 38 = 198ยฐC

The total temperature in Lucknow in all the given months together

= > 35 + 37 + 32 + 36 + 43 + 45 = 228ยฐC

Required % = (198/228)*100 = 87ยฐC

The total temperature in the month of July in all the given cities together

= > 36 + 41 + 35 + 47 + 44 = 203ยฐC

The total temperature in the month of November in all the given cities together

= > 34 + 29 + 43 + 29 + 32 = 167ยฐC

Required % = (203/167)*100 = 122 %