# Quants Quiz for Banking / IBPS - 15

1. An amount of ₹ 7800 is lent at the beginning of a year at a certain rate of interest. After 54 months, an additional sum of ₹ 4700 is lent at the rate 2.5 times the former. At the end of seven years ₹ 5038.50 is earned as interest from both the loans. What was the original rate of interest?
• 1) 4.5%
• 2) 6%
• 3) 7.5%
• 4) 12%
• 5) 15%

2. A person swims a certain distance downstream in 30 minutes and comes back upstream in 180 minutes . If the speed of stream is 2.5 kmh–1, what is the speed of the swimmer in still water?
• 1) 3 kmh–1
• 2) 3.5 kmh–1
• 3) 4 kmh–1
• 4) 4.5 kmh–1
• 5) 6 kmh–1

3. At what rate of interest per annum will the interest on ₹ 16000 be ₹ 8334 in three years? The interest is compounded yearly.
• 1) 10%
• 2) 12%
• 3) 15%
• 4) 16%
• 5) 17.5%

4. 272 litres mixture of milk and water contains milk and water in the ratio of 5 : 3. How much milk is to be added to the mixture to get a new mixture of milk and water in the ratio of 7 : 2?
• 1) 181 litres
• 2) 187 litres
• 3) 192 litres
• 4) 198 litres
• 5) 144 litres

5. A shopkeeper sells an item at a profit of 12%. If he reduces the price of the item by `130, he makes a loss of 8%. What is the cost price of the item?
• 1) 500
• 2) 540
• 3) 600
• 4) 650
• 5) 720

6. A shopkeeper has 120 kg sugar. He sells a certain amount of sugar at 20% profit and the rest at 55% loss. In the whole process his loss is 5%. Find the difference between the amount of sugar he sold at 20% profit and the amount he sold at 55% loss.
• 1) 10 kg
• 2) 20 kg
• 3) 40 kg
• 4) 60 kg
• 5) 80 kg

7. The length and breadth of a rectangular park are 100m and 400m respectively. If the area of a path which runs all along the perimeter inside the park is 1056 sqm, what is the width of the path?
• 1) 4 metres
• 2) 5 metres
• 3) 6 metres
• 4) 7.5 metres
• 5) 8 metres

8. A person can row 11 kmh–1 in still water. If he takes thrice as much to row up as to row down a river, what is the speed of the stream?
• 1) 3 kmh–1
• 2) 4 kmh–1
• 3) 4.5 kmh–1
• 4) 5 kmh–1
• 5) 5.5 kmh–1

9. A train after covering 1200 km meets with an accident and due to this it proceeds at of its original speed and arrives at the station in 5 hours. Had the accident taken place after covering a distance of 300 km further, it would have arrived 2.5 hours earlier. What is the speed of the train?
• 1) 30 kmh–1
• 2) 45 kmh–1
• 3) 48 kmh–1
• 4) 54 kmh–1
• 5) 60 kmh–1

10. A person drives a certain distance on a car at the rate of 25 kmh–1 and returns to its starting point on a bicycle at the rate of 10 kmh–1. The whole journey took 11 hours and 12 minutes. Find the distance travelled by him on car.
• 1) 40 km
• 2) 50 km
• 3) 60 km
• 4) 70 km
• 5) 80 km

1. 2
2. 2
3. 3
4. 2
5. 4
6. 3
7. 1
8. 3
9. 5
10. 5
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