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Directions (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 = ?
(1) 4740
(2) 5570
(3) 6600
(4) 7960 - Ans
(5) 8880
2. (775% of 523) ÷ 777 = ?
(1) 5 - Ans
(2) 12
(3) 19
(4) 26
(5) 29
3. 783.559 + 49.0937 x 31.679 - 58.591 = ?
(1) 26600
(2) 5000
(3) 12800
(4) 2550
(5) 2280 - Ans
4. (4438 - 2874 - 559) ÷ (269 - 106 -83)
(1) 55
(2) 13 - Ans
(3) 47
(4) 29
(5) 31
5. (12.51)4 = ?
(1) 22300
(2) 23400
(3) 24500 - Ans
(4) 25600
(5) 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 ?
(1) 36
(2) 3 - Ans
(3) 18
(4) 6
(5) 12
7. 522 1235 2661 4800 7652 11217 ?
(1) 15495 - Ans
(2) 16208
(3) 14782
(4) 16921
(5) 14069
8. 51975 9450 2100 600 240 160 ?
(1) 80
(2) 120
(3) 320 - Ans
(4) 240
(5) 300
9. 4 18 48 100 294 ?
(1) 416
(2) 480
(3) 512
(4) 384
(5) 448 - Ans
10. 6 26 134 666 3334 16666 ?
(1) 84344
(2) 83443
(3) 84434
(4) 83334 - Ans
(5) 83344
Directions 11-20) What should come in place of question mark (?) in the following questions ?
11. 4895 + 364 x 0.75 - 49 = ?
(1) 5119 - Ans
(2) 3895
(3) 3907
(4) 5210
(5) None of these
12. 5 and 1/4 +6 and 2/3+ 7 and 1/6 = ?
(1) 19.5
(2) 19 and 11/12
(3) 19 and 1/12 - Ans
(4) 19
(5) None of these
13. [(144)2 ÷ 48 x 18] ÷ 36 = √
(1) 23328
(2) 36
(3) 216
(4) 46656 - Ans
(5) None of these
14. (27)18 ÷ (27)3 = ?
(1) (27) 54
(2) (27) 21
(3) (27) 15 - Ans
(4) (27) 6
(5) None of these
Expl : (3)? = (27)18 ÷ (27)3
= (27)18-3 (:. am ÷ an = am-n)
= (27)15
15. 156 + 16 x 1.5 - 21 = ?
(1) 126
(2) 258
(3) 237
(4) 159 - Ans
(5) None of these
16. 434.43 + 43.34 + 3.44 + 4 + 0.33 = ?
(1) 421.45
(2) 455.54
(3) 485.54 - Ans
(4) 447.45
(5) None of these
17. 24336 ÷ ? = 78 x 24
(1) 6
(2) 13 - Ans
(3) 11
(4) 17
(5) None of these
18. (98)45 x (98)-35 = ?
(1) 98
(2) (98)2
(3) (98) -5
(4) (98)10 - Ans
(5) None of these
19. (78.95) - (43.35) = ?
(1) 4353.88 - Ans
(2) 4305
(3) 4235.78
(4)4148
(5) None of these
20. (23.6 % of 1254) - (16.6 % of 834) = ?
(1) 159.5
(2) 157.5 - Ans
(3) 155.5
(4) 153.5
(5) 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 if
(1) a<b
(2) a<b
(3) relationship between a and b cannot be established
(4) a>b
(5) a>b
21. I. 16a2 = 1
II. 3b2 +7b +2 = 0
Ans : 4
From statement I, 16a2 = 1
==> a = + 1/4
From Statement II
3b2 +7b +2 = 0
3b2 +6b +b+2 = 0
3b(b+2) +1(b+2) = 0
==> (3b+1) (b+2) = 0
==> b = -2 or -1/3
:. a>b
22. I. a2 + 5a + 6= 0
II. b2 +7b +12 = 0
Ans : 5
From statement I, a2 + 5a + 6= 0
==> a2 + 2a + 3a+6= 0
==> a(a+2) (a+3)= 0
==> (a+2) (a+3)= 0
a=-2, -3
From statement II, b2 +7b +12 = 0
==> b2 +4b +3b+12 = 0
==> b(b+4) +3(b+4)= 0
==> (b+3) (b+4) = 0
b= -3, -4
:. a>b
23. I. a2 +2a +1 = 0
II. b2 = + 4
Ans : 3
24. I. a2 -5a + 6=0
II. 2b2 - 13b +21 = 0
Ans : 2
25. I. 2a2 + a-1 =0
II. 12b2 - 17b +6 =0
Ans :1
26. A 200m long train crosses a platform of double its length in 36s. What is the speed of the train in km/h. ?
(1) 60 - Ans
(2) 48
(3) 64
(4) 66
(5) None of these
27. Work done by A in one day is half of the work done by B in one day. Work done by B is half of the work done by C in one day. If C along can complete the work in 7 days, in how many days can A, B and C together complete the work ?
(1) 28
(2) 14
(3) 4 - Ans
(4) 21
(5) None of these
28. In how many different ways can the letters of the word DAILY be arranged ?
(1) 60
(2) 48
(3) 160
(4) 120 - Ans
(5) None of these
29. The number obtained by interchanging the digits of a two digit number is less than the original number by 63. If the sum of the digits of the number is 11, what is the orginal number ?
(1) 29
(2) 92 - Ans
(3) 74
(4) Cannot be determined
(5) None of these
30. If the numerator of a fraction is increased by 200% and the denominator is increased by 300%, the resultant fraction is 15/16. What was the original fraction ?
(1) 8/11
(2) 10/11
(3) 9/13
(4) 10/13 - Ans
(5) None of these
31. The profit earned after selling an article for Rs.996 is the same as loss incurred after selling the article for Rs.894. What is the cost price of the article ?
(1) Rs.935
(2) Rs.905
(3) Rs.945 - Ans
(4) Rs.975
(5) None of these
32. The ages of Nishi and Vinnee are in the ratio of 6:5 respectively. After 9 yr the ratio of their ages will be 9:8. what is the difference in their ages ?
(1) 9 yr
(2) 7 Yr
(3) 5 Yr
(4) 3 Yr - Ans
(5) None of these
33. The simple interest accrued on an amount of Rs.84000 at the end of 3 yr is Rs.30240. What would be the compound interest accrued on the same amount at the same rate in the same period ?
(1) Rs.30013.95
(2) Rs. 31013.95
(3) Rs.32013.95
(4) Rs.33013.95
(5) Rs.34013.95 - Ans
34. The total of the ages of a class of 75 girsl is 1050, the average age of 25 of them is 12 yr and that of another 25 is 16 yr. find the average age of the remaining girls.
(1) 12 yr
(2) 13 yr
(3) 14 yr - Ans
(4) 15 yr
(5) None of these
35. One-fifth of the number is 81. What will 68% of that number be ?
(1) 195.2
(2) 275.4 - Ans
(3) 225.6
(4) 165.8
(5) None of these
36. In a class of 40 students and 8 teachers, each student got sweets that are 20 % of the total number of students and each teacher got sweets that are 25% of the total number of students. How many sweets were there?
(1) 420
(2) 400 - Ans
(3) 320
(4) 360
(5) None of these
37. What is 35% of 45% of 7/9th of 3600?
(1) 441 - Ans
(2) 414
(3) 444
(4) 411
(5) None of these
38. A committee of 3 members is to be selected out of 3 men and 2 women. What is the probability that the committee has at least one woman ?
(1) 1/10
(2) 9/20
(3) 9/10 - Ans
(4) 1/20
(5) None of these
39. By how much is 5/12th of 516 lesser than 4/5th of 495 ?
(1) 22
(2) 15
(3) 12
(4) 27
(5) None of these - Ans
40. Ms. Deepthi jain invests 11% of her monthly salary, ie, Rs.5236 in Fixed Deposits. Later, she invests 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 ?
(1) Rs.211344 - Ans
(2) Rs.17612
(3) Rs.105672
(4) Rs.35224
(5) Non of the above
