## Quantitative Aptitude for Syndicate Bank PO 2018

**Q1. A and B together can do a piece of work in 16 days and B and C can do the same work in 24 days. From starting A and B worked for 4 days and 7 days respectively and remaining work is completed by C in 23 days, then find in how many days will C complete the work alone?**

(a) 32 days

**(b) 16 days**

(c) 8 days

(d) 24 days

(e) 36 days

**Q2. Ravi takes thrice the time of Manish to complete a piece of work, and Manish takes five times of Pawan to complete the same work. If they work together then they can finish the work in 30 days. Then find the time taken by them to complete the work individually?**

**(a) 570 days, 190 days, 57 days**

(b) 380 days, 190 days, 38 days

**(c) 570 days, 190 days, 38 days**

(d) 470 days, 290 days, 41 days

(e) None of these

**Q3. In an examination on which full marks were 500. A got 10% less than B. B got 25% more than C. C got 20% less than D. If A got 360 marks, what percentage of full marks was obtained by D?**

(a) 90%

**(b) 80%**

(c) 50%

(d) 60%

(e) 85%

**Q4. The income of four persons are in the ratio of 7 : 4 : 8 : 10 respectively. First person spends 20% of his income second person saves 30%, 3rd person saves 40% and fourth person spends 10%. If the difference of total income of four persons and total expenditure of 4 persons is Rs 5700, what is the total income of all four persons:**

**(a) 8700**

(b) 8500

(c) 8300

(d) 8900

(e) 7800

**Q5. In a class, the number of girls is 20% more than that of the boys. The strength of the class is 66. If 4 more girls are admitted to the class, the ratio of the number of boys to that of the girls is :**

(a) 1 : 2

**(b) 3 : 4**

(c) 1 : 4

(d) 3 : 5

(e) 4 : 3

**Q6. 8% of the voters in an election did not cast their votes. In this election, there were only two candidates. The winner by obtaining 48% of the total votes defeated his contestant by 2300 votes. The total number of voters in the election was:**

(a) 61,000

**(b) 63,500**

(c) 57,500

(d) 67,500

(e) 65,000

**Q7. A jar has 60 litres of milk. From the jar, 12 litres of milk was taken out and replaced by an equal amount of water. If 12 litres of the newly formed mixture is taken out of the jar, what is the final quantity of milk left in the jar ?**

**(a) 38.4 litres**(b) 40 litres

(c) 36 litres

(d) 28.6 litres

(e) 36.5 litres

**Q8. A plane left 30 minute later than its schedule time to reach destination 1500 km away. In order to reach in time it increased its speed by 250 km/hr. What is its original speed?**

(a) 1000 km/hr

**(b) 750 km/hr**

(c) 600 km/hr

(d) 800 km/hr

(e) 650 km/hr

**Q9. In how many ways can 7 Indians, 5 Pakistanis and 6 Dutch be seated in a row so that all persons of the same nationality sit together?**

(a) 3!

(b) 7!5!6!

**(c) 3!.7!.5!.6!**

(d) 182

(e) 7!.6!.3

**!**

**Q10. There are 8 consonants and 5 vowels in a word jumble. In how many ways can we form 5 -letter words having three consonants and 2 vowels?**

**(a) 67200**

(b) 8540

(c) 720

(d) Data Inadequate

(e) None of these

**Q11. There are 5 red shoes and 4 black shoes in a sale. They have got all mixed up with each other. What is the probability of getting a matched shoe if two shoes are drawn at random?**

(a) 6/9

**(b) 4/9**

(c) 2/9

(d) 5/9

(e) 2/3

**Q12. In a horse race there were 18 horses numbered 1-18. The probability that horse 1 would win is 1/6, that 2 would win is 1/10 and that 3 would win is 1/8. Assuming that a tie is impossible, find the chance that one of the three will win.**

(a) 47/120

(b) 119/120

(c) 11/129

**(d) 143/480**

(e) 1/5

**Q13. Three students appear at an examination of Mathematics. The probability of their success is 1/3, 1/4, 1/5 respectively. Find the probability of success of at least two.**

**(a) 1/6**

(b) 2/5

(c) 3/4

(d) 3/5

(e) 5/6

**Q14. The petrol prices shot up by 7% as a result of the hike in the price of crudes. The price of petrol before the hike was Rs 28 per litre. Shubham travels 2400 kilometres every month and his car gives a mileage of 18 kilometres to a litre. Find the increase in the expenditure that Shubham has to incur due to the increase in the price of petrol (to the nearest rupee)?**

(a) Rs 270

**(b) Rs 262**

(c) Rs 276

(d) Rs 272

(e) Rs.267

**Q15. Two Indian tourists in the US cycled towards each other, one from point A and the other from point B. The first tourist left point A 6 hrs later than the second left point B, and it turned out on their meeting that he had traveled 12 km less than the second tourist. After their meeting, they kept cycling with the same speed, and the first tourist arrived at B 8 hours later and the second arrived at A 9 hours later after they meet. Find the speed of the faster tourist.**

(a) 4 km/hr

**(b) 6 km/hr**

(c) 9 km/hr

(d) 2 km/hr

(e) 7 km/hr