SBI PO Exam - Solved Model Question Paper - Quantitative Aptitude

Quantitative Aptitude

1. What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit? a) 1 b) 14 c) 20 d) 21 e) None of these
2. (935421 × 625) = ? a) 575648125 b) 584638125 c) 584649125 d) 585628125 e) None of these
3. Reena took a loan of Rs.1200 with simple interest for as many years as the rate of interest. If she paid Rs.432 as interest at the end of the loan period, what was the rate of interest? a) 3.6 b) 6 c) 18 d) Data inadequate e) None of these
4. A leak in the bottom of a tank can empty the full tank in 8 hours. An inlet pipe fills water at ther ate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. How many litres does the cistern hold? a) 7580 b) 7960 c) 8290 d) 8640 e) None of these
5. In what ratio must a grocer mix two varieties of pulses costing Rs.15 and Rs.20 per kg respectively so as to get a mixture worth Rs.16.50 kg? a) 3 : 7 b) 5 : 7 c) 7 : 3 d) 7 : 5 e) None of these
6. What was the day of the week on 28th May 2006? a) Thursday b) Friday c) Saturday d) Sunday e) None of these
7. A man can row upstream at 8 kmph and downstream at 13 kmph. The speed of the stream is a) 2.5 km/hr b) 4.2 km/hr c) 5 km/hr d) 10.5 km/hr e) None of these
8. If the sum of the interior angles of a regular polygon measures upto 1440 degrees, how many sides does the polygon have? a) 10 sides b) 8 sides c) 12 sides d) 9 sides e) None of these
9. Number of solutions of the equation tan x + sec x = 2 cos x, lying in the interval [0, 2?] is a) 0 b) 1 c) 2 d) 3 e) None of these
10. A alone can do a piece of work in 6 days and B alone 8 days. A and B undertook to do it for Rs.3200. With the help of C, they completed the work in 3 days. How much is to be paid to C? a) Rs.375 b) Rs.400 c) Rs.600 d) Rs.800 e) None of these
11. A train travels at an average of 50 miles per hour for 2×1/2 hours and then travels at a speed of 70 miles per hour for 1×1/2 hours. How far the train did travels in the entire 4 hours? a) 120 miles b) 150 miles c) 200 miles d) 230 miles e) None of these
12. A shopkeeper give 12% additional discount on the discounted price, after giving an initial discount of 20% on the labeled price of a radio. If the final sale price of the radio is Rs.704, then what is its labeled price? a) Rs.844.80 b) Rs.929.28 c) Rs.1000 d) Rs.1044.80 e) None of these
13. A person was asked to state his age in years. His reply was, ?Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am.? What was the age of the person? a) 14 years b) 18 years c) 20 years d) 32 years e) None of these
14. In how many ways can the letters of the word ‘LEADER’ be arranged? a) 72 b) 144 c) 360 d) 72 e) None of these
15. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remained in each case. a) 4 b) 7 c) 9 d) 13 e) None of these
16. The average weight of 8 person’s increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person? a) 76Kg b) 76.5Kg c) 85Kg d) Data inadequate e) None of these
17. In Arum?s opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arum and he thinks that Arum?s weight is greater than 60 kg but less than 70 kg. His mother’s view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arum? a) 67 kg b) 68 kg c) 69 Kg. d) Data inadequate e) None of these
18. Product of two co-prime numbers is 117. Their LCM should be a) 1 b) 117 c) equal to their H.C.F. d) Cannot be calculated e) None of these
19. A starts a business with Rs.3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B?s contribution in the capital? a) Rs.7500 b) Rs.8000 c) Rs.8500 d) Rs.9000 e) None of these
20. In how many different ways can the letters of the word ‘DETAIL’ be arranged in such a way that the vowels occupy only the odd positions? a) 32 b) 48 c) 36 d) 60 e) None of these
21. Two dice are tossed. The probability that the total score is a prime number is: a) 1/6 b) 5/12 c) 1/2 d) 7/9 e) None of these
22. The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child? a) 4 years b) 8 years c) 10 years d) 12 years e) None of these
23. A shopkeeper professes to sell his goods at cost price but uses a weight of 800 gm instead of kilogram weight. Thus, he make a profit of a) 20% b) 22% c) 25% d) Data inadequate e) None of these
24. The number of common terms to the two sequences 17, 21, 25 ?. 417 and 16, 21, 26 ?. 466 is : a) 19 b) 20 c) 21 d) 84 e) None of these
25.  25. 50 × ?98 is equal to a) 63.75 b) 65.95 c) 70 d) 70.25 e) None of these