STATE BANK OF INDIA PROBATIONARY OFFICERS EXAM., 2008

STATE BANK OF INDIA PROBATIONARY OFFICERS EXAM., 2008
(Held on 12-10-2008)
Quantitative Aptitude

Directions—(Q. 1-5) What app­roximate value should come in place of question-mark (?) in the following questions ?
(You are not expected to calculate the exact value.)
1. (56)2 x 2-5385 = ?
(A) 4740 (B) 5570
(C) 6600 (D) 7960 (E) 8880
2. (755% of 523) + 777 = 1 (A) 5 (B) 12 (C) 19 (D) 26 (E) 29
3. 783-559 + 49-0937 x 31-679
-58-591 = ? (A) 26600 (B) 5000 (C) 12800 (D) 2550 (E) 2280
4. (4438 - 2874 - 559)+ (269-106
-83)=?
(A) 55 (B) 13
(C) 47 (D) 29
(E) 31
5. (12-51)4 = ?
(A) 22300 (B) 23400 (C) 24500 (D) 25600 (E) 26700
Directions—(Q. 6-10) What should come in place of question mark (?) in the following number series ?
6. 2187 729 243 81 27 9 ? (A) 36 (B) 3 (C) 18 (D) 6 (E) 12
7. 522 1235 2661 4800 7652 11217 ? (A) 15495 (B) 16208
(C) 14782 (D) 16921 (E) 14069
8. 51975 9450 2100 600 240 160 ?(A) 80 (B) 120
(C) 320 (D) 240
(E) 300
9. 4 18 48 100 180 294 ?(A) 416 (B) 480
(C) 512 (D) 384
(E) 448
10. 6, 26 134 666 3334 16666 ?(A) 84344 (B) 83443(C) 84434 (D) 83334(E) 83344
Directions—(Q. 11-20) What should come in place of question mark (?) in the following questions ?
11. 4895 + 364 x 0-75 - 49 = ?(A) 5119 (B) 3895(C) 3907 (D) 5210(E) None of these
12 1
(B) 19
11 12
12. 5+6+7 = ?
(A) 19-5
(C) 19^
(D) 19 (E) None of these
13. [(144)2 + 48 x 18] + 36 = 7? (A) 23328 (B) 36 (C) 216 (D) 46656 (E) None of these
14. (27)18 + (27)3 = ?
(A) (27)54 (B) (27)21 (C) (27)15 (D) (27)6 (E) None of these
15. 156 + 16x1-5-21 = ?(A) 126 (B) 258(C) 237 (D) 159
(E) None of these
16. 434-43 + 43-34 + 3-44 + 4 + 0-33 = ?(A) 421-45 (B) 455-54
(C) 485-54 (D) 447-45 (E) None of these
17. 24336 + ? = 78 x 24(A) 6 (B) 13(C) 11 (D) 17(E) None of these
18. (9S)45 x (98)"35 = ?
(A) (98) (B) (98)2
(C) (98)-5 (D) (98)10 (E) None of these
19. (78-95)2 - (43-35)2 = ? (A) 4353-88 (B) 4305 (C) 4235-78 (D) 4148 (E) None of these
20. (23-6% of 1254) - (16-6% of 834) = ? (A) 159-5 (B) 157-5
(C) 155-5 (D) 153-5 (E) None of these
Directions—(Q. 21-25) In each of these questions, two equations I and II with variables a and b are given. You have to solve both the equations to find the values of a and b. Mark answer:
(A) If a <> b
(E) If a a b
21. I. 16a2 = 1 II. 3b2 + 7b + 2 = 0
22. I. a2 + 5a + 6 = 0 II. b2 + 7b + 12 = 0
23. I. a2 + 2fl+l = 0 II. b2 = ±4
24. I. «2-5fl + 6 = 0 II. 2fc2-13b + 21 = 0
25. I. 2«2 + fl-l = 0 II. 12b2 -17b + 6 = 0
26. A 200 metre long train crosses a platform of double its length in 36 seconds. What is the speed of the train in kmph ?
(A) 60 (B) 48
(C) 64 (D) 66
(E) None of these
27. Work done by A in one day ishalf of the work done by B in oneday. Work done by B is half of
the work done by C in one day. If C alone can complete the work in 7 days, in how many days can A, B and C together complete the work?
(A) 28 (B) 14
(C) 4 (D) 21
(E) None of these
28. In how many different ways canthe letters of the word DAILY bearranged ?
(A) 60 (B) 48
(C) 160 (D) 120
(E) None of these
29. The number obtained by inter-changing the digits of a two digitnumber is less than the originalnumber by 63. If the sum of thedigits of the number is 11, whatis the original number ?
(A) 29
(B) 92
(C) 74
(D) Cannot be determined
(E) None of these
30. If the numerator of a fraction isincreased by 200% and thedenominator is increased by
15
(A) ^ (C)
11 10
300%, the resultant fraction is ^g.What was the original fraction ?° (B) 10
(D)
13 13
(E) None of these
31. The profit earned after selling anarticle for Rs. 996 is the same asloss incurred after selling thearticle for Rs. 894. What is thecost price of the article ?
(A) Rs. 935 (B) Rs. 905 (C) Rs.945 (D) Rs.975 (E) None of these
32. The ages of Nishi and Vinnee arein the ratio of 6 ; 5 respectively.After 9 years the ratio of theirages will be 9 : 8. What is thedifference in their ages ?
(A) 9 years (B) 7 years (C) 5 years (D) 3 years (E) None of these
33. The simple interest accrued onan amount of Rs. 84,000 at theend of three years is Rs. 30,240.What would be the compoundinterest accrued on the sameamount at the same rate in the same period ?
(A) Rs. 30,013-95
(B) Rs. 31,013-95
(C) Rs. 32,013-95
(D) Rs. 33,013-95
(E) Rs. 34,013-95
34. The total of the ages of a class of75 girls is 1050, the average ageof 25 of them is 12 years and thatof another 25 is 16 years. Find theaverage age of the remaininggirls.
(A) 12 years (B) 13 years (C) 14 years (D) 15 years (E) None of these
35. One-fifth of a number is 81. Whatwill 68% of that number be ?
(A) 195-2 (B) 275-4 (C) 225-6 (D) 165-8 (E) None of these
36. In a class of 40 students and 8teachers, each student got sweetsthat are 20% of the total numberof students and each teacher gotsweets that are 25% of the totalnumber of students. How manysweets were there ?
(A) 420 (B) 400
(C) 320 (D) 360
(E) None of these
37. What is 35% of 45% of ^th of3600?
(A) 441 (B) 414
(C) 444 (D) 411
(E) None of these
9_ 20
X 20
38. A committee of 3 members is tobe selected out of 3 men and 2women. What is the probabilitythat the committee has at leastone woman ?
(A)
10
(B) (D)
(E) None of these
39. By how much is ^ th of 516
4
lesser than ^ th of 495 ?
(A) 22 (B) 15
(C) 12 (D) 27
(E) None of these
40. Ms. Deepti Jain invests 11% ofher monthly salary, i.e., Rs. 5,236in Fixed Deposits. Later sheinvests 19% of her monthly salary on Life Insurance Policies; also she invests another 7% of her monthly salary on Mutual Funds. What is the total annual amount invested by Ms. Deepti Jain ?
(A) Rs. 2,11,344
(B) Rs. 17,612
(C) Rs. 1,05,672
(D) Rs. 35,224
(E) None of these
41. Which number should replaceboth the question marks in thefollowing equation ?
? 243 432 ~ ?
(A) 308 (B) 312
(C) 324 (D) 316
(E) None of these
42. Swapana spent Rs. 44,620 onDeepawali Shopping, Rs. 32,764on buying Laptop and theremaining 32% of the totalamount she had as cash with her.What was the total amount ?
(A) Rs. 36,416
(B) Rs. 1,13,800
(C) Rs. 77,384
(D) Cannot be determined
(E) None of these
43. Manas decided to donate 12% ofhis salary. On the day of dona-tion he changed his mind anddonated Rs. 2,240 which wastwo-third of what he had decidedearlier. How much is Manas'ssalary ?
(A) Rs. 25,000 (B) Rs. 28,000 (C) Rs. 31,000 (D) Rs. 34,000 (E) None of these
44. If the fractions^, g> ^, ^ and ^
are arranged in ascending order of their values, which one will be the fourth ?
(A) f

(C) 3 2
8 5
(E) None of these
45. A sum of money is divided among A, B, C and D in the ratio of 2 : 3 : 7 :11 respectively. If the share of C is Rs. 2,755 more than the share of A, then what is the total amount of money of B and D together ?

(A) Rs. 4,408 (B) Rs. 5,510 (C) Rs. 6,612 (D) Rs. 7,714 (E) None of these
Directions—(Q. 46-50) Each question below is followed by two statements I and II. You are to deter­mine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible ans­wers. Give answer:
(A) If the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.
(B) If the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.
(C) If both statements I and II together are needed to ans­wer the question.
(D) If either the statement I alone or statement II alone is sufficient to answer the question.(E) If you cannot get the answerfrom the statement I and II

together, but need even moredata.
46. The ages of Anand and Sujeet arein the ratio of 6 : 5 respectively.What is the age of Anand ?
I. The ages of Anand and Sandeep are in the ratio of 10:7.
II. After 5 years the ratio of Anand's and Sujeet's ages will be 7: 6.
47. What is the three digit number ?
I. Three-fifth of that number is less by 90 of that number.
II. One-fourth of that number is 25% of that number.

48. In how many days 14 men cancomplete a piece of work ?
I. If 18 women can complete the same piece of work in 24 days.
II. If 28 children can complete the same piece of work in 56 days.
49. What is the salary of A, in agroup of A, B, C, D and E whoseaverage salary is Rs. 65,780 ?
I. Total of the salary of B and C is Rs. 88,545.

II. Total of the salary of D and E is Rs. 59,020.
50. What is the profit earned by selling a Watch for Rs. 15,675 ?
I. The cost price of 5 such Watches is equal to selling price of 4 such Watches.
II. 25% profit is earned by selling each Watch.