**Dear Readers,**

Practice is the key to perfection in Quant, so brush up your skills and test yourself with these 15 questions of

**Twisted Ones Quantitative Aptitude Questions for NICL AO Mains.**

**Directions (Q.1-2): A is thrice as good a workman as B and therefore is able to finish a job in 60 days less than B. If A and B complete 2/3 rd of the job and then A is replaced by C, the remaining job is done by B and C in 10 days. If A and B complete 3/4th of the job and then B is replaced by D the remaining job is done by A and D in 5 days.**

**Q1. How long will it take for A, B, C and D to complete the job working together?**

(a) 12 days

(b) 20 days

(c) 15 days

(d) 14 days

(e) None of these

**Q2. The job is completed in the following manner: A and B work on day 1, B and C work on day 2, C and D work on day 3, D and A work on day 4 and so on. How long will it take for the job to be completed in this manner?**

(a) 25 days

(b) 24 days

(c) 22 days

(d) 30 days

(e) None of these

**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.**

**Q3. 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

(e) None of these

**Q4. What are the approximately average speeds of Bus A and Bus B?**

(a) 48.64 km/hr , 48.64 km/hr

(b) 50 kmph, 48.64 km/hr

(c) 40 kmph, 50 kmph

(d) 48.64 km/hr, 50 km,hr

(e) None of these

**Q5. Quantity I:**Overall profit percentage if the cost prices of two shirts are equal. One shirt is sold for 20% profit and the other is sold for 10% loss.

**Quantity II:**Profit % made in selling each meter if the profit made in selling 20 m of a cloth equals the cost price of 5 m of that cloth.

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or No relation

**Q6. The largest possible right circular cylinder is cut out from a wooden cube of edge 7 cm.**

**Quantity I:**volume of the cube left over after cutting out the cylinder

**Quantity II:**Surface area of cube remained after cutting out the cylinder.

Note: compare the magnitudes of both quantities.

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or No relation

**Q7. Quantity 1:**Value of y. A vessel contains 2.5 liters of water and 10 liters of milk. 20% of the contents of the vessel are removed. To the remaining contents, x liters of water are added to reverse the ratio of water and milk. Then y liters of milk are added again to reverse the ratio of water and milk.

**Quantity 2:**120 ltr.

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or No relation

**Q8. P can complete a piece of work in 16 days which Q can complete in 32 days. P and Q work on alternate days.**

**Quantity 1:**Time taken by them to complete the work if P starts on day 1.

**Quantity 2:**time taken by them to complete the work if Q starts on day 1.

(a) Quantity I > Quantity II

(b) Quantity I < Quantity II

(c) Quantity I ≥ Quantity II

(d) Quantity I ≤ Quantity II

(e) Quantity I = Quantity II or No relation

**Directions (Q.9-10): There are four boxes. Each box contains two balls. One red and one blue. You draw one ball from each of the four boxes.**

**Q9. What is the probability of drawing at least one red ball?**

(a) 13/16

(b) 15/16

(c) 9/16

(d) 11/16

(e) None of these

**Q10. If each bag a green ball is added, then find the probability of drawing at least one blue ball?**

(a) 1/9

(b) 16/81

(c) 65/81

(d) 8/9

(e) None of these

**Directions (Q.11-12): These questions are based on the information given below.**

**A shopkeeper sold a two-digit number of toys all priced at a certain value (also a two-digit number when expressed in rupees). By mistake he reversed the digits of both, the number of items sold and the price (in Rs.) of that item while entering in the computer. So, the stock left at the end of the day showed 81 items more than what it actually was.**

**Q11. How many possibilities exist for the actual number of toys sold?**

(a) 1

(b) 2

(c) 3

(d) 4

(e) None of these

**Q12. If the faulty calculations show a total sale of Rs. 486, what was the actual selling price (in Rs.) of each toy?**

(a) 54

(b) 45

(c) 63

(d) 36

(e) None of these

**Directions (Q.13-14): 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.**

**Q13. How many cubic metres of wheat a day did the team have to cut according to the plan?**

(a) 24

(b) 28

(c) 26

(d) Can’t be determined

(e) None of these

**Q14. To harvest 216 cubic metre of wheat 2 days before the planned date, how many cubic metres of wheat must be harvested by team over and the above the plan every day after first three days?**

(a) 08 cubic metre

(b) 12 cubic metre

(c) 10 cubic metre

(d) 16 cubic metre

(e) None of these

**Q15. A solid sphere of radius 6 cm is melted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder?**

(a) 3 cm

(b) 1.5 cm

(c) 1 cm

(d) 2.5 cm

(e) None of these

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