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Quantitative Aptitude Quiz For SBI PO Prelims 2022- 21st November

Q1. Sandy invested 50% more than Ayush and the ratio of time period for which Sandy & Ayush invested is 5 : 4 respectively. If profit earned by Sandy is Rs. 840 more than the profit earned by Ayush, then find the total profit earned by Ayush and Sandy both ?
(a) Rs. 2620
(b) Rs. 2760
(c) Rs. 2880
(d) Rs. 2780
(e) Rs. 2460

Q2. Tap A can fill a tank in 24 minutes and tap B can fill the same tank in 30 minutes, another tap C can empty the tank in 20 minutes. If tap A and tap B are opened together & after six minutes tap C is also opened, then find the total time taken to fill the remaining tank ?
(a) 18 minutes
(b) 14 minutes
(c) 22 minutes
(d)12 minutes
(e) 16 minutes

Q3. The age of Ayushis 25% less than that of Veer. The age of Veer is 24 years more than the average age of his two sons whose total age is 40 years. Then find the difference of age of Ayush and Veer ?
(a) 14 years
(b) 6 years
(c) 12 years
(d) 8 years
(e) 11 years

Q4. The radius of a cylinder & a sphere is same, and ratio of height and radius of cylinder is 2 : 1.If the volume of sphere is 288 π cm³ then find the volume of cylinder? (in cm³)
(a) 438 π
(b) 426 π
(c) 420 π
(d) 432 π
(e) 444 π

Q5. ‘X’ men can complete a work in 4 days. ‘(X – 2)’ women can complete the same work in 8 days, while ratio of efficiency of man to woman is 3 : 2. If ‘ X/2 ‘ men &’(X – 2)’ women started the work & worked for only 2 days then, how many women should replace to men to complete the remaining work in three days ?
(a) 2 women
(b) 8 women
(c) 6 women
(d) 4 women
(e) 16 women

Q6. 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

Q7. 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

Q8. 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

Q9. 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

Q10. 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

Q11. 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

Q12. 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

Q13. 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

Q14. 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

Q15. Tanya invested Rs 4800 at the rate of X% p.a. and Rs. 2400 at the rate of 2X% p.a. each on compound interest. If she gets Rs. 48 more interest on the amount invested at 2X% than amount invested at X% after two years, then find the value of X/2%?
(a) 15%
(b) 20%
(c) 2.5%
(d) 5%
(e) 10%

Solutions

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