Quantitative Aptitude Quiz For SBI PO Prelims 2022- 10th October

Q1. A,B,C…,F,G invested money in the ratio of 7:6:5:….2:1. The duration for which they invested the money is in the ratio of 1:2:3….6:7. Who will obtain maximum profit at the end of year?
(a) A
(b) G
(c) B
(d) F
(e) D

Q2. The diagonal of a square is 4√2 units. The diagonal of another square whose area is double that of the first square is.(in units)
(a)4√2
(b)6√2
(c)8
(d)8√2
(e)10

Q3. The speed of a boat in still water is 15 kmph, rate of current is 3 kmph. While moving with the stream the boat covers 108 km, then find out how much distance can be covered in same time while moving against the stream?(in km)
(a)76
(b)72
(c)70
(d)80
(e)96

Q4. A,B and C can do a work in 12,15 and 20 days respectively. All three started together but C left in between before completion of work. The remaining work was completed by A and B and the total work was completed in 6 days. Find after how many days C left the work?
(a)2
(b)3
(c)4
(d)1
(e)5

Q5. The C.I at a certain rate for Rs ‘X’ for 2 years is same as the S.I at the same rate for same Rs ’X’ for four years. Find the rate. (in % p.a)
(a)200
(b)300
(c)400
(d)500
(e)250

Q6. The distance between two stations ‘P’ and ‘Q’ is 120 km. The train ‘A’ starts from station ‘P’ with 5/6 of its original speed,and reached station ‘Q’ late by half an hour by its scheduled time. Find the original speed.(in kmph)
(a)54
(b)42
(c)40
(d)36
(e)48

Q7. Ankit, Bhavya and Chiru together starts a business. Bhavya invested 25% more amount than Ankit as well as 33 (1/3)% less amount than Chiru. If ratio of profit sharing of Ankit, Bhavya and Chiru is 8 : 15 : 25, then find for what time Ankit invested, if Chiru invested for 20 months.
(a) 6 months
(b) 9 months
(c) 12 months
(d) 15 months
(e) 18 months

Q8. Anurag is 40% less efficient than Bholu, who can do the same work in 20% less time than Chotu. If Anurag and Bholu together can complete 80% of work in 12 days, then in how many days 60% of work can be completed by Bholu and Chotu together.
(a) 2 days
(b) 4 days
(c) 6 days
(d) 8 days
(e) 10 days

Q9. Three years ago, average age of ‘Amit’, ‘Bittu’ and ‘Chitu’ is 27 years. Four years hence, ratio of Amit and Chitu’s age is 7 : 10. If Bittu is 6 years younger than Chitu, then find present age of ‘Amit’?
(a) 24 years
(b) 27 years
(c) 30 years
(d) 28 years
(e) 36 years

Q10. X, Y and Z invested their amount on simple interest in the ratio of 4 : 5 : 8 respectively. Rate of interest for X, Y and Z is 12.5%, 10% and 20% respectively and after two years of investment X , Y and Z joined a business with the amount obtained from interest only for 12 months, 18 month and 15 months respectively. If total profit from business is Rs 8450, then find the difference between profit shares of Y and Z?
(a) Rs. 3625
(b) Rs. 3650
(c) Rs. 3850
(d) Rs. 3750
(e) Rs. 3250

Q11. Speed of a boat in still water is 20 km/hr and speed of current is 4 km/hr, if time taken by boat to cover a distance of (d – 40) km upstream is one hour more than the time taken by boat to cover a distance of (d – 24) km in downstream, then find time taken by boat to cover a distance of (d + 48) km in downstream and in upstream both?
(a) 16.5 hours
(b) 17 hours
(c) 18 hours
(d) 17.5 hours
(e) 18.5 hours

Q12. Veer purchased two mobiles for Rs. 36,000 and he sold first mobile at 30% profit and second mobile at 20% loss. If in this transaction Veer gets no profit no loss, then by how much rupees more than the previous selling price, the second mobile must be sold in order to make a profit of 25% on it?
(a) Rs. 9720
(b) Rs. 9700
(c) Rs. 9750
(d) Rs. 9690
(e) Rs. 9780

Q13. There are three vessels A , B and C, Vessel A and B filled with mixture of milk and Water in the ratio of 5 : 4 and 5 : 3 respectively. 25% of mixture from vessel A taken out and mixed in vessel C, which contains 45 lpure milk . If in resulting mixture milk is 250% more than water in vessel Cand initial quantity of mixture in vessel B is 20 l less than that of mixture in vessel A, then find the quantity of milk in vessel B?
(a) 180 liters
(b) 120 liters
(c) 80 liters
(d) 100 liters
(e) 140 liters

Q14. The radius of a semicircle is equal to the radius of a sphere whose surface area is 616 cm² and height of a cylinder is 150% more than radius of semicircle and ratio of height to radius of cylinder is 5 : 1. Then find radius of cylinder? (in cm)
(a) 14
(b) 7.5
(c) 3
(d) 3.5
(e) 5.5

Q15. A five letter word is to be formed taking all letters – H, A , R, E and T. What is the probability that the word formed will contain all the vowels together?
(a) 2/5
(b) 3/5
(c) 1/2
(d) 2/3
(e) 3/4

Solutions