Twisted and Difficulty Level Quantitative Aptitude Questions for NICL AO Mains 2017

  • 1. A watch dealer sells watches at Rs. 600 per watch. However, he is forced to give two successive discounts of 10% and 5% respectively. However, he recovers the sales tax on the net sale price from the customer at 5% of the net price. What price does a customer have to pay him to buy a watch?

Answer: Option 'B'

600 - 10% of 600 = 540 & 540 - 5% of 540 = 513
513 + 5% of 513 = 538.65

  • 2. Ganesha was hired on the basis of commission in NICL and got the bonus only on the first years commission. He got the policies of Rs. 2 lakh having maturity period of 10 year. His commission in the first, second, third, fourth and for the rest of the years is 20%, 16%, 12%, 10% and 4% respectively while bonus is 25% of the commission. If the annual premium is Rs. 20,000 then what is his total commission if the completion of the maturity of all the policies is mandatory?

Answer: Option 'B'

  • Directions (Q.3-4): Cities M and N are 600 km apart. Bus A starts from city M towards N at 9 am and bus B starts from city N towards M at the same time. Bus A travels the first 1/3rd of the distance at a speed of 40 kmph, the second 1/3rd at 60 kmph and the third 1/3rd at 50 km/hr. Bus B travels the first 1/3rd of the total distance at a speed of 60 kmph, the second 1/3 rd at 40 kmph and the third 1/3rd at 50 km/hr.
  • 3. When and where will the two buses cross each other?
   A.) 6 hrs, 320 kms from N
   B.) 5 hrs  20 minutes, 240 kms from N
   C.) 6 hrs 20 minutes, 280 kms from M
   D.) 4 hrs, 240 kms from M

Answer: Option 'C'

Bus A travels first 1/3 rd of the distance in 200/40 = 5 hrs
Bus B travels first 1/3 rd of the distance in = 200/60 = 10/3 hrs 
in 5 - 10/3 = 5/3 hrs Bus B travels another 5/3 × 40 = 200/3 kms 
Now, the distance between Buses A and B reduces 600 - (200 + 800/1) = 400/3 kms 
This is covered by both in (400/1)/(60+40) = 1(1/3) hr 
Hence, they will cross each other after = 5 + 1(1/3) = 6 hrs 20 minutes 
And the point of crossing is 200 + 80 = 280 kms from city M 

  • 4. What are the approximately average speeds of Bus A and Bus B?
   A.) 48.64 km/hr , 48.64 km/hr
   B.) 48.64 km/hr, 50 km,hr
   C.) 50 kmph, 48.64 km/hr
   D.) 40 kmph, 50 kmph

Answer: Option 'A'

Average speed of bus A = 600/[(20/40)+(200/50)+(200/60)] = 48.64 km/hr 
Average speed of bus B = 600/[(200/60)+(200/40)+(200/50)] = 48.64 km/hr 

  • Directions (Q.5-6): According to a plan, a team of woodcutters decided to harvest 216 cubic meters of wheat in several days. In the first three days, the team fulfilled the daily assignment, and then it harvested 8 cubic metre of wheat over and above the plan every day. Therefore, a day before the planned date, they had already harvested 232 cubic meters of wheat.
  • 5. How many cubic metres of wheat a day did the team have to cut according to the plan?

Answer: Option 'C'

Let, the planned no. of days be 'n' and planned harvest per day be 'x' m3
Then, nx = 216
ATQ, x(n-1) + 8(n-4) = 232
or, nx - x + 8n - 32 = 232
or, 8n - x = 48
or, 8n - 216/n = 48
or, 8n2 - 48n - 216 = 0
or, n2 - 6n - 27 = 0
=> (n-9)(n+3) = 0
=> n = 9
Hence, x = 216/9 = 24 m3