Quant Twisted Ones for IBPS/BOB Exams

Q1. Three pieces of cakes of weights 4 (1/2) lbs, 6 (3/4) lbs and 7 (1/5) lbs respectively are to be divided into parts of equal weights. Further, each part must be as heavy as possible. If one such part is served to each guest, then what is the maximum number of guests that could be entertained?

Q2. The price of Darjeeling tea (in rupees per kilogram) is 100 + 0.10n, on the nth day of 2007 (n = 1, 2, …., 100), and then remains constant. On the other hand, the price of Ooty tea (in rupees per kilogram) is 89 + 0.15n, on the nth day of 2007 (n = 1, 2, …., 365). On which date in 2007 will the prices of these two varieties of tea be equal?

Q3. 

Q4. Akhil and Bhanu start from A and B respectively with uniform velocities. Akhil is going to B and Bhanu towards A and both cities are 600 km apart. Akhil rests whenever Bhanu is on the move and Bhanu rest whenever Akhil is on the move. The speed of Akhil and Bhanu is 25 km/h and 30 km/h respectively. If Akhil starts first and reaches B in 36 hours, then find the least time that Bhanu would take to reach his destination after Akhil makes a start.

Directions for questions 5 & 6: Two trains A and B starts simultaneously from Delhi and Patna towards each other and continuously shuttle between these two places. Every time these trains meet each other, they turn back after exchanging their respective speeds, the initial ratio of their speeds is 2 : 1. 


Q5.  What is the number of distinct places at which they will meet?

Q6. Let these two trains first time meet at ‘C’ then what is the ratio of distances covered by trains A and B till they meet for the third time at the same place C.

Q7. Cost price of 12 articles is equals to the selling price of 9 articles. While discount given on 10 article equal to profit earn on 5 articles. Find the difference between profit percentage and discount percentage?

Directions for Question 8 to 10: Kishore goes at a speed of 60 km/h. Avinash goes at a speed of 36 km/hr. Kamal can go from A to B in 2 hours. The distance between A to B is equal to the distance between A to C. Avinash takes the same time in travelling from B to A as from B to C at his regular speed which is twice the speed of kamal. 


Q8.  What is the speed of Kamal?

Q9. How much time will Kishore take to complete a trip of the three cities?

Q10. If Kishore and Kamal travel towards each other from B and C respectively, how far from B will they meet each other?

Q11. Mohini goes to office from her home, which is 8 km apart. Her speed is 4 km/hr. After 5 min she feels that she left some important documents at home. She returns to home and now she travels with some fast speed towards the office, and reaches office on time. Find her increased speed?

Q12. Two places A and B are 750 km apart from place A, a car and a bus start at the same time towards B. The speed of the car is 15 km/h more than the speed of the bus. The bus travels 2/3 rd part of the total distance with its initial speed, after this it stops for 20 min, then its speed changes 4/5 of its original speed and it travel the remaining distance with this speed. The car travel 1/3 part of the total distance with its initial speed, and after this it stops for 40 min, after this its speed reduced by 1/6 of the original speed and travels the remaining distance with this speed. If the car reaches 1 1/18) hours earlier than B. Then find the initial speeds of the car and the Bus. And also find if the bus starts at 10 am then at what time will it reach to B?

Directions for Question 13 and 14. Avinash and his girlfriend meet a Rajiv Chowk after a long time. Avinash stays in laxmi nagar and his girlfriend stays in Gurgaon. Both of them travel by bus. They reaches the bus stop, and get to know that a bus had just left their each destinations. Neither wanted to leave the other alone at the bus stop. If the frequency of buses to Gurgaon was 9 min and that to laxmi nagar was 11 min 


Q13. How long would they wait at the bus stop?

Q14. How many buses going to their destinations would be missed by them ?

Q15. A bus meets with an auto at 10:00 am while going the same way in the same direction towards Haridwar. The Bus reach at Haridwar at 12:30 p.m. and take 1 hour rest at there. Bus return on the same way and meet with the same auto half an hour later. At what time the auto will reach at Haridwar?