**Dear Aspirants,**

Quantitative Aptitude for IBPS Clerk Mains 2017 |

**Q1. In the figure, ABCD is a square with side 10. BFD is an arc of a circle with centre C and BGD is an arc of another circle with centre A. What is the area of shaded region?**

(a) 100π – 50

(b) 100 – 25π

(c) 50π – 100

(d) 25π – 10

(e) 100 – 50π

**Q2. A circle is inscribed in an equilateral triangle and a square is inscribed in the circle. The ratio of the area of the triangle to the area of the square is**

(a) √3 ∶√2

(b) 3√3:2

(c) 3∶√2

(d) √2: 1

(e) 2 : 3√3

**Q3. A starts driving from P to Q at 9 am and B starts driving from Q to P at 10 am B is 50% faster than A. What is the time when they meet if P and Q are 300 km apart and A’s speed is 50 km/h.**

(a) 12 : 30 pm

(b) 12 noon

(c) 11 : 00 am

(d) 11 : 30 am

(e) 1 : 30 pm

**Q4. Two persons A and B are standing diametrically opposite on a circular track with a radius of 3.5 units. They start running in an opposite direction on the circular track and their speeds are 4 units/minute and 7 units/minute respectively. On meeting each other they take rest for half a minute and then start running with twice the original speed. In five minutes how many times will they meet ?**

(a) 6 times

(b) 7 times

(c) 10 times

(d) 5 times

(e) 12 times

**Q5. A man works twice as fast as a woman. A woman works twice as fast as a child. If 16 men can complete a job in 12days, how many days would be required for 32 women and 64 boys together to complete the same job?**

(a) 2 days

(b) 3 days

(c) 4 days

(d) 6 days

(e) 8 days

**Q6. A cistern can be filled by two taps A and B coming from the same main pipeline in 20 and 30 minutes respectively. Both the taps are opened at the same time but due to partial closing of a valve in the main pipeline tap A was supplying only 4/5th of its capacity and tap B, 5/6th of its capacity. After some time, the valve in the main pipeline was opened fully thereby enabling the two taps to supply at full capacity. It took another 5 minutes to fill the cistern completely. What was the time for which the main pipeline was get partially closed ?**

(a) 7 minutes

(b) 9 minutes

(c) 11 minutes

(d) 13 minutes

(e) 6 minutes

**Q7. Two pipes A and B can fill a tank in 20 hours and 25 hours respectively and a third pipe C can empty the tank in 50 hours. All of three pipes opened together and after some times pipe C is closed. If total time to fill the tank from beginning is 13 hours, find after how much time pipe C was closed?**

(a) 11 hrs

(b) 9 hrs

(c) 8.5 hrs

(d) 7.5 hrs

(e)10.5 hrs.

**Q8. A starts a business with an initial investment of Rs 18000. After 4 months, B enters into the partnership with an investment of Rs 24000. Again after two months, C enters with an investment of Rs 30000. If C receives Rs 1845 in the profit at the end of the year, what is total annual profit?**

(a) Rs 6027

(b) Rs 6327

(c) Rs 6527

(d) Rs 6080

(e) Rs 6800

**Q9. A, B and C started a business by investing Rs 20,000, Rs 28,000 and Rs 36,000 respectively. After 6 months, A and B withdrew an amount of Rs 8,000 each and C invested an additional amount of Rs 8,000. All of them invested for equal period of time. If at the end of the year, C got Rs 12,550 as his share of profit, what was the total profit earned?**

(a) Rs 25,100

(b) Rs 26,600

(c) Rs 24,300

(d) Rs 22,960

(e) Rs 21,440

**Q10. If the simple interest on a certain sum of money for 15 months at 7 1/2% p.a. exceeds the simple interest on the same sum for 8 months at 12 1/2% p.a. by Rs 32.50. The sum is**

(a) Rs. 312

(b) Rs. 312.50

(c) Rs. 3120

(d) Rs. 3120. 50

(e) None of these

**Q11. There are 6 filling pipes each capable of filling a cistern alone in 16 minutes and 4 emptying pipes each capable of emptying a cistern alone in 20 minutes. All pipes are opened together and as a result, tank fills 28 litres of water per minute. Find the capacity of the tank.**

(a) 145 l

(b) 160 l

(c) 240 l

(d) 180 l

(e) 154 l

**Q12. Ravi borrowed some money at the rate of 4 p.c.p.a for the first three years, at the rate of 8 p.c.p.a for the next two years and at the rate of 9 p.c.p.a for the period beyond 5 years. If he pays a total simple interest of Rs 19550 at the end of 7 years, how much money did he borrow?**

(a) Rs 39500

(b) Rs 42500

(c) Rs 41900

(d) Rs 43000

(e) Rs 34000

**Q13. A sum of Rs 16800 is divided into two parts. One part is lent at the simple interest of 6% per annum and the other at 8% per annum. After 2 years total sum received is Rs 19000. The sum lent at 6% of simple interest is**

(a) Rs 12200

(b) Rs 12000

(c) Rs 11000

(d) Rs 10000

(e) Rs 14500

**Q14. A discount of 15% is given on the marked price of an article. The shopkeeper charges sales tax of 6% on the discounted price. If the selling price be Rs 1081.20, what is the marked price of the article?**

(a) Rs 1185.20

(b) Rs 1250.20

(c) Rs 302

(d) Rs 1200

(e) Rs 1205.50

**Q15. In Arun’s opinion his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Arun and he thinks that Arun’s weight is greater than 60 kg but less than 70 kg. His mother’s view is that his weight cannot be greater than 68 kg. if all of them are correct in their estimation, what is the average of different probably weights of Arun?**

(a) 69 kg

(b) 67 kg

(c) 68 kg

(d) Data inadequate

(e) None of these