Quantitative Aptitude for RBI Grade B & ECGC PO Quiz 3

Q1. Time taken by car A to cover distance from point X to point Y is 6½ hrs including ½ hour of stoppage. B also started from point X and stopped 90 km earlier from point Y after travelling for 6½ hrs. Had they started from same point and at same time, the difference between their distance covered in 7.5 minutes will be 2.5 km. Find the distance between two cars, if they start a race for the distance which is twice the distance between X and Y, assuming that both cars stops when one of the car finish the race.

1. 360 km

2. 240 km

3. 180 km

4. 300 km

5. 280 km

Q2. A person bought some mobiles and he sold 60% of them at the profit of 3.5% & sold rest of them at the rate of Rs. 6,660 each. In this transaction, he earned an overall profit% of 6.5%. Find the SP (in Rs.) of each mobile which were sold at 3.5% profit.

1. Rs 6210

2. Rs 7230

3. Rs 5830

4. Rs 5760

5. Rs 5466

Q3. Tank 1 can be filled by pipe A alone in 7.5 min, while total time taken by pipe B to fill & to empty the same tank is 25 min and the efficiency of pipe B during time of filling and empty is same. Pipe A was opened for 12 minutes alone in tank 2. Then pipe B alone for 12 minutes. Remaining of tank 2 was filled by pipe C in 18 minutes. Find the time taken by pipe C to fill 80% of tank 1, if the ratio of volume of tank 1 to tank 2 is 1 : 4.

1. 12.5 minutes

2. 13.5 minutes

3. 8.5 minutes

4. 8 minutes

5. 10 minutes

Q4. A person ‘A’, invested 37½% of his savings in scheme XYZ, while B invested 62½% of his savings in the same scheme. If B invested 50% of his remaining savings in scheme PQR, and A thought to invest double of the amount invested by B in PQR scheme then find what percent of A’s remaining savings after investment in XYZ, A should invest in PQR. Given that amount invested by B in XYZ is twice the amount invested by A in same scheme.

1. 80%

2. 68%

3. 64%

4. 72%

5. 60%

Q5. Two trains A and B with their length difference 17 m cross each other in 2.6 seconds while running in opposite direction. Train A crosses train B in 13 seconds while they are running in same direction. If train A takes 2 seconds to cross a pole, then find the sum of speed of both the trains, assuming that train B is longer than train A.

Q6. A group of students prepared stuffed toys as part of their group activity. They spent Rs. 100 on velvet, Rs 5 other end and needle and Rs. 27 on miscellaneous items.They made 30 toys, 50% of which were purchased by force by some senior students causing them a loss of 50%. At what % proﬁt should they sell the remaining toys so as to gain 50% on their total cost?

A) 100%

B) 150%

C) 75%

D) 50%

E) None of these

Q7. A shopkeeper marks up his goods by 20% and then gives a discount of 20%. Besides he cheats both his supplier and customer by 100 g, i.e., he takes 1100 g from his supplier and sells only 900 g to his customer. What is his net proﬁt percentage? (Rounded off to two decimal points)

A) 24.5%

B) 17.33%

C) 25%

D) 32.5%

E) None of these

Q8. A person sells his table at a profit of 12.5% and the chair at a loss of 8 1/3% but on the whole he gains Rs. 25. On the other hand if he sells the table at a loss of 8 1/3% and the chair at a profit of 12.5%, then he nether gains nor loses. Find the cost price of the table and the chair.

A) Rs. 360, Rs. 240

B) Rs. 380, 260

C) Rs. 400, Rs. 420

D) Rs. 360, 410

E) none of these

Q9. Pankaj calculates his profit percentage on the selling price whereas Chandan calculates his profit on the cost price. They find that the difference of their profit is Rs. 135. If the selling price of both of them are the same, and Pankaj gets 30% profit and Chandan gets 25% profit, then find their selling price.

A) Rs. 1250

B) Rs. 1150

C) Rs. 1450

D) Rs. 1350

E) none of these

Q10. On a Rs. 10,000 payment order, a person has a choice between three successive discounts of 10%, 10% and 30% and three successive discounts of 40%, 5% and 5%. By choosing the better offer, he can save x Rs more. Find the value of x.

A) Rs. 200

B) Rs. 225

C) Rs. 400

D) Rs. 433

E) Rs. 255