# Solutions of Numerical Ability for SBI Clerk Prelims Exam 2018: 5th March 2018

**Dear Students,**

**Numerical Ability for SBI Clerk Prelims 2018**

Numerical Ability Section has given heebie-jeebies to the aspirants when they appear for a banking examination. As the level of every other section is only getting complex and convoluted, there is no doubt that this section, too, makes your blood run cold. The questions asked in this section are calculative and very time-consuming. But once dealt with proper strategy, speed and accuracy, this section can get you the maximum marks in the examination. Following is the

**Numerical Ability quiz**to help you practice with the best of latest pattern questions.

**Q1. Kumar purchased 320 kg of rice at Rs 17.60 per kg and mixed it with 160 kg of rice purchased at Rs 16.40 pr kg. He wants to earn a profit of Rs 9.45 per kg by selling it. What should be the selling price of the mixture per kg?**

(a) Rs 25

(b) Rs 26.65

(c) Rs 28.45

(d) Rs 25.65

(e) Rs. 24.65

**Q2. Two pipes X and Y can fill a tank in 16 minutes and 24 minutes respectively. If both the pipes are opened simultaneously, after how much time should pipe X be closed so that the tank is full in 21 minutes?**

(a) 5 minutes

(b) 2 minutes

(c) 6 minutes

(d) 8 minutes

(e) 3 minutes

**Q3. In how many different ways can 5 girls and 4 boys be seated in a row so that they come alternately?**

(a) 2880

(b) 3000

(c) 2580

(d) 2780

(e) 2680

**Q4. A shopkeeper marks the price of an article at Rs 2400. What will be the selling price if he allows two successive discounts of 20% each?**

(a) Rs 1336

(b) Rs 1550

(c) Rs 1536

(d) Rs 1760

(e) Rs. 1456

**Q5. In a mixture of 90 litres, the ratio of milk to water is 2 : 1. If this ratio is to be 1 : 2, then what is the quantity of water needed to be added?**

(a) 90 litres

(b) 60 litres

(c) 30 litres

(d) 75 litres

(e) 85 liters

**Solutions (1-5):****Q6. Raju sells an article at a gain of 15%. Had he sold it for Rs 3780 more, he would have gained 20%. What is the cost price of the article?**

(a) Rs 75000

(b) Rs 75600

(c) Rs 75800

(d) Rs 76500

(e) Rs. 74600

**Q7. Shailesh was conducting an experiment in which the average of 11 observations came to 82, while the average of the first five observations was 77, and that of the last five was 78. What was the measure of the 6th observation?**

(a) 127

(b) 125

(c) 123

(d) 120

(e) 129

**Q8. How much water must be added to a cask which contains 35 litres of milk at a cost price of Rs 44 per litre so that the cost of milk reduces to Rs 40 per litre?**

(a) 6 Litre

(b) 5 Litre

(c) 3.5 Litre

(d) 4 Litre

(e) 4.5 liters

**Q9. The speed of a man in still water is 7.5 kmph and the rate of flow of water is 2.5 kmph. He takes 30 hours to row to a place and back. What is the distance between these two places?**

(a) 160 km

(b) 100 km

(c) 120 km

(d) 150 km

(e) 125 km

**Q10. A sum of Rs 11700 each is lent by three brothers Rangesh, Mangesh and Ganesh at a simple interest of 5% per annum for 2 years, 3 years and 4 years respectively. The interest earned by Ganesh is how much more (in Rs) than that of Mangesh?**

(a) 558

(b) 568

(c) 658

(d) 585

(e) 595

**Solutions (6-10):****Q11. How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/h. In the direction of the moving train if the speed of the train is 63 km/h ?**

(a) 25

(b) 30

(c) 40

(d) 45

(e) 35

**Q12. Rs. 165 was distributed between two persons in such a way that for an amount of Rs. 1.50 given to one, another will get an amount of Rs. 1.25. What will be the difference in their shares ?**

(a) Rs. 15

(b) Rs. 30

(c) Rs. 22.5

(d) Rs. 37.5

(e) Rs. 20

**Q13. The circumferences of two circles are 66 cm and 176 cm respectively. What is the difference between the area of the larger circle and that of the smaller circle?**

(a) 2022 cm²

(b) 2017.5 cm²

(c) 2117.5 cm²

(d) 2175.5 cm²

(e) None of these

**Q14. A man takes a total of 6 hours 30 minutes by walking to a certain place and coming back by cycle. He would have gained 1 hour 30 minutes by cycling both ways. The time he would take to walk both ways is.**

(a) 8 hours

(b) 7 hours

(c) 10 hours

(d) 12 hours

(e) 6.5 hours

**Q15. The ratio of milk to water in a solution is 2 : 1. After adding 15 litres of water to the solution the ratio of milk to water interchanges. Then how much milk does the solution contain initially?**

(a) 5 litres

(b) 10 litres

(c) 7.5 litres

(d) 15 litres

(e) 12 litres