QUANTITATIVE APTITUDE QUESTIONS(100 Questions)
Total Time= 90 Minutes
1. 675.456 + 12.492 * 55.671 = ?
a) 971
b) 1071
c) 1171
d) 1371
e) None of these
2. 4374562 * 64 = ? * 7777
a) 360
b) 3600
c) 36000
d) 360000
e) None of these
3. (4576 + 3286 + 5639) / (712 + 415 + 212) = ?
a) 10
b) 18
c) 22
d) 34
e) None of these
4. (872% of 659) / 543 = ?
a) 17
b) 11
c) 21
d) 27
e) None of these
5. 1875 / 35 * 3242 / 48 = ?
a) 3525
b) 3618
c) 3641
d) 3591
e) None of these
6. 414 * ? * 7 = 127512
a) 36
b) 40
c) 44
d) 48
e) None of these
7. 8888 + 848 + 88 – ? = 7337 + 737
a) 1750
b) 1650
c) 1550
d) 1450
e) None of these
8. 74 + 12 * 0.75 – 6 = ?
a) 72
b) 67
c) 62
d) 77
e) None of these
9. 515.15 – 15.51 – 1.51 – 5.11 – 1.11 = ?
a) 491.91
b) 419.91
c) 499.19
d) 411.19
e) None of these
10. {(84)^2 / 28 * 12} / 24 = 7 * ?
a) 15
b) 18
c) 17
d) 19
e) None of these
11). 354, 180, 64, 21, 10.2, ?
a) 5.6
b) 8.7
c) 3.8
d) 1.7
e) None of these
12.) 4.5, 18, 2.25, ?, 1.6875, 33.75
a) 27
b) 25.5
c) 36
d) 40
e) None of these
13.) 59.76, 58.66, 56.46, 52.06, ?, 25.66
a) 48.08
b) 46.53
c) 43.46
d) 43.26
e) None of these
14. )36, 157, 301, 470, ?, 891
a) 646
b) 695
c) 666
d) 669
e) None of these
15). 14, 70, 350, ?, 8750, 43750
a) 1570
b) 1750
c) 875
d) 785
e) None of these
16). The content of two vessels containing water and milk are in the ratio 2 : 3 and 3 : 5 are mixed in the ratio 1 : 2. The resulting mixture will have water and milk in the ratio?
a) 24 : 37
b) 23 : 37
c) 23 : 35
d) 25 : 37
e) None of these
17). Anant and Anish started a business, Anish puts in double what Anant puts. Anish withdraws one-third of his capital at the end of 3 months but at the end of 7 months puts back one-third of what he has taken out, when Anant takes out one-fourth of his capital. Anish receives Rs.6000 as profit at the end of the year, what does Anant receive?
a) Rs.3375
b) Rs.3265
c) Rs.3195
d) 3485
e) None of these
18). The difference between a discount of 36% and two successive discount of 20% and 25% on a certain bill was Rs.28. Find the amount of the bill?
a) Rs.750
b) Rs.760
c) Rs.700
d) Rs.720
e) None of these
19) A reduction of 27/2% in the price of oranges enables a person to buy 6 more for Rs.2. What is the reduced price of per oranges?
a) Rs.11/200
b) Rs.9/200
c) Rs.7/200
d) Can’t be determined
e) None of these
20). A batsman in his twenty first innings missed a century by 3 runs and there by increases his average by 2. What is his average after twenty first innings?
a) 56
b) 58
c) 59
d) 57
e) None of these
21). Two-third of a commodity is sold at 27% profit, one-fifth is sold at 20% profit and the rest at 15% profit. If the total profit of Rs.87 is earned, find the value of the commodity?
a) Rs.382.5
b) Rs.352.6
c) Rs.362.5
d) Rs.372.5
e) None of these
22) A cistern is normally filled in 7 hours but takes 2 hours longer to fill because of leak in its bottom. If the cistern is full, then the leak will empty the cistern in how many hours?
a) 32.1
b) 31.5
c) 36.4
d) 30.5
e) None of these
23. From a pack of 52 cards, 2 cards are drawn, what is the probability that the card drawn is of heart?
a) 3/51
b) 5/51
c) 4/51
d) 7/51
e) None of these
24). Bajirao got 30% of the maximum marks in an examination and failed by 10 marks. However, Mastani who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination?
a) 35
b) 75
c) 250
d) 85
e) None of these
25) A boat covers a certain distance downstream in 1 hour, while it comes back in 3/2 hours. If the speed of the stream be 3 km/h, what is the speed of the boat in still water? (km/h)
a) 15
b) 20
c) 30
d) 10
e) None of these
Directions (Q.26– 30): In each question two equations are provided. On the basis of these you have to find out the relation between X and Y. Give answer
a) If X = Y or relation can’t be established
b) If X > Y
c) If Y > X
d) If X >= Y, and
e) If Y >= X.
26). I. 14X^2 – 5X – 1 = 0
II. 2Y^2 + 3Y + 1 = 0
27). I. 2X + Y = 12
II. 3X + 5Y – 32 = 0
28). I. 2Y^2 + 45Y – 23 = 0
II. X^2 + 48X + 575 = 0
29). I. 4Y^2 – 7Y + 3 = 0
II. X^2 – 2X + 1 = 0
30). I. 225X^2 + 105X – 44 = 0
II. 210Y^2 + 319Y + 121 = 0
31). In a meeting between two countries, each country has 12 delegates. All the delegates of one country shake hands with all delegates of the other country. Find the number of handshakes possible?
a) 72
b) 144
c) 288
d) 234
e) None of these
32. There are 10 questions in a question paper. In how many ways, a student can solve these questions, if he solve one or more questions?
a) 1024
b) 1025
c) 1023
d) 1000
e) None of these
Directions (Q.33– 35): Study the following information carefully to answer the questions that follow.
A box contains 2 blue caps, 4 red caps, 5 green caps and 1 yellow cap.
33. If two caps are picked at random, what is the probability that both are blue?
a) 1/6
b) 1/10
c) 1/45
d) 1/66
e) None of these
34). If one cap is picked at random, what is the probability that it is either blue or yellow?
a) 2/6
b) 1/4
c) 2/8
d) 6/11
e) None of these
35). if two caps are picked at random, what is the probability that atleast one is red?
a) 1/3
b) 16/21
c) 19/33
d) 7/19
e) None of these
36). A tap can fill an empty tank in 12 h and a leakage can empty the tank in 20 h. If tap and leakage both work together, then how long will it take to fill the tank?
a) 25 h
b) 40 h
c) 30 h
d) 35 h
e) None of these
37). A tank has a leak which would empty it in 8 h. A tap is turned on which admits 3 L a min into the tank and it is now emptied in 12 h. How many litres does the tank hold?
a) 4320 L
b) 4000 L
c) 2250 L
d) 4120 L
e) None of these
38). A tap having diameter ‘d’ can empty a tank in 40 min. How long another tap having diameter ‘2d’ take to empty the same tank?
a) 5 min
b) 20 min
c) 10 min
d) 40 min
e) None of these
39). Two pipes A and B can fill a tank in 24 and 32 min, respectively. If both the pipes are opened together, after how much time pipe B should be closed so that the tank is full in 9 min?
a) 40 min
b) 30 min
c) 10 min
d) 20 min
e) None of these
40). A pipe can fill a cistern in 12 min and another pipe can fill it in 15 min, but a third pipe can empty it in 6 min. The first two pipes are kept open for 5 min in the beginning and then the third pipe is also opened. Time taken to empty the cistern is:
a) 45 min
b) 38 min
c) 22 min
d) 42 min
e) None of these
41). Capacity of tap B is 80% more than that of A. If both the taps are opened simultaneously, they take 45 h to fill the tank. How long will B take to fill the tank alone?
a) 72 h
b) 70 h
c) 48 h
d) 66 h
e) None of these
42). Two taps A and B can fill a tank in 25 min and 20 min, respectively. But taps are not opened properly, so the taps A and B allow 5/6 th and 2/3 rd part of water, respectively. How long will they take to fill the tank?
a) 12 min
b) 13 min
c) 14 min
d) 15 min
e) None of these
43). Three taps A, B and C fill a tank in 20 min, 15 min and 12 min, respectively. If all the taps are opened simultaneously, how long will they take to fill 40% of the tank?
a) 1 min
b) 2 min
c) 3 min
d) 4 min
e) None of these
44). Two pipes A and B are opened together to fill a tank. Both pipes fill the tank in a certain time. If A separately takes 16 min more than the time taken by (A+B) and B takes 9 min more than the time taken by (A+B). Find the time taken by A and B to fill the tank when both the pipes are opened together?
a) 10 min
b) 12 min
c) 15 min
d) 8 min
e) None of these
45). Inlet A is four times faster than inlet B to fill a tank. If A alone can fill it in 15 min, how long will it take if both the pipes are opened together?
a) 10 min
b) 12 min
c) 15 min
d) 14 min
e) None of these
46). 30% of the men are more than 25 years old and 80% of the men are less than or equal to 50 years old. 20% of all men play football. If 20% of the men above the age of 50 play football, what percentage of the football players are less than or equal to 50 years?
A. 60%
B. 70%
C. 80%
D. 90%
47). A man can row 7.5 kmph in still water and he finds that it takes him twice as long to row up as to row down the river. Find the rate of stream.
a) 10 km/hr
b) 2.5 km/hr
c) 5 km/hr
d) 7.5 km/hr
48). What is the probability of drawing a “Queen” from a deck of 52 cards?
a) 1/2
b) 1/13
c) 1/6
d) 1/3
49). A letter is randomly taken from English alphabets. What is the probability that the letter selected is not a vowel?
a) 525
b) 225
c) 526
d) 21/26
50). Father is aged three times more than his son Sunil. After 8 years, he would be two and a half times of Sunil’s age. After further 8 years, how many times would he be of Sunil’s age?
a) 4 times
b) 4 times
c) 2 times
d) 3 times
51). Six years ago, the ratio of the ages of Vimal and Saroj was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Saroj’s age at present?
a) 18
b) 17
c) 16
d) 15
52). A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. What is his profit percentage?
a) 6%
b) 5%
c) 4%
d) 7%
53) Two trains having length of 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions (on parallel tracks). The time which they take to cross each other, is
a) 10.8 s
b) 12 s
c) 9.8 s
d) 8 s
54). A train overtakes two persons who are walking in the same direction to that of the train at 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. What is the length of the train?
a) 62 m
b) 54 m
c) 50 m
d) 55 m
55). Arun took a loan of Rs. 1400 with simple interest for as many years as the rate of interest. If he paid Rs.686 as interest at the end of the loan period, what was the rate of interest?
a) 8%
b) 6%
c) 4%
d) 7%
56). If a shopkeeper sales a cow at 16(2/3) % profit and a buffalo at 12(1/2)% loss, he gains Rs. 30 in whole transaction. If he sales a cow at 12.5 % loss and the buffalo at 16(2/3)% profit he neither gains nor losses. Find sum of their prices ?
a) 620
b) 720
c) 725
d) 625
e) None of these
57). A person sold his watch for Rs 24. If the percentage of his loss was equal to the cost price, then the watch would have cost him
a) Rs. 40
b) Rs. 60
c) Rs. 50
d) Rs. 80
e) None of these
58). In a two digit number the digit at unit’s place is less than twice the digit at ten’s place by 1. And the difference between the number obtained by interchanging its digits and the original number is 50% of the number obtained by adding 1 in original number. What is the original number?
a) 46
b) 57
c) 35
d) 68
e) None of these
59). A sum of money amounts to Rs. 2380 in four years at simple interest. If the rate of interest be raised by 30%, the sum amounts to Rs. 2584 during the same period. What is the rate of interest ?
a) 8%pa
b) 10%pa
c) 12%pa
d) 13%pa
e) Cannot be determined.
60). A person sold a ball and a bat together for Rs.1966 there by making a profit of 16% on ball and 12% on bat. By selling them together for Rs.2024, he would have made a profit of 12% on ball and 16% on bat. What is the cost price of ball and bat together ?
a) 1600
b) 1650
c) 1700
d) 1750
e) 1800
61). If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:
a) 50 km
b) 56 km
c) 70 km
d) 80 km
62.) A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.
a) Rs. 1900
b) Rs. 2660
c) Rs. 2800
d) Rs. 2840
63.) On dividing a number by 357, we get 39 as remainder. On dividing the same number 17, what will be the remainder ?
a) 0
b) 3
c) 5
d) 11
64). In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?
a) 4236
b) 4306
c) 4336
d) 5336
65). The least perfect square, which is divisible by each of 21, 36 and 66 is:
a) 213444
b) 214344
c) 214434
d) 231444
66). (31.98)² – (35.02)² + (19.03)² = ?² + √255
a) +/- 13
b) +/- 18
c) +/- 9
d) +/- 12
67). Rahul purchased a house for Rs. 10 lakh. He sold it at 6% loss. With that money he again purchased another house and sold it at a profit of 12%. What is his overall loss/profit?
a) Rs. 54, 600 profit
b) Rs. 51, 800 loss
c) Rs. 52, 800 profit
d) Rs. 51, 900 loss
68). Ms. Pooja invests 13% of her monthly salary, i.e. Rs. 8554 in Mediclam Policies. Later she invests 23% of her monthly salary on child Education Policies; also she invests another 8% of her monthly salary on Mutual Funds. What is the total annual invested by Ms. Pooja?
a) Rs. 28952
b) Rs. 43428
c) Rs. 347424
d) Rs. 173712
69). Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P,Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?
a) 5/11
b) 7/11
c) 9/11
d) 6/11
70). 8.5% of 160 – 0.42% of 750 = ?
a) 11.45
b) 12.45
c) 10.45
d) 9.45
71). 18935, 3780, 750, 145, 25, ?
a) 5
b) 2
c) 4
d) 3
e) None of these
72.) 3, 10, 32, 111, ?, 2315, 13902
a) 512
b) 460
c) 424
d) 412
e) None of these
73.) 16, 24, ?, 210, 945, 5197.5, 33783.75
a) 36
b) 40
c) 60
d) 58
e) None of these
74.) 16, 15, 21, ?, 77, 195.5, 588.5
a) 36.5
b) 39
c) 37.5
d) 36
e) None of these
75). 142, 871, 1383, 1726, 1942, 2067, ?
a) 2283
b) 2131
c) 2134
d) 2192
76). Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 3?
a) 3/10
b) 3/20
c) 2/5
d) ½
e) None of these
77). In how many ways 6 boys and 3 girls be seated in a row so that the three girls do not sit together ?
a) 56 × 6 !
b) 66 × 7 !
c) 46 × 7 !
d) 76 × 6 !
e) None of these
78) In how many ways 6 boys and 6 girls be seated in a row alternatively ?
a) 2 × 6 ! × 6 !
b) 4 × 6 ! × 6 !
c) 5 × 6 ! × 6 !
d) 6 ! × 6 !
e) None of these
Direction:(Q.79;80) In the following questions two equations numbered (I) and (II) are given. You have to solve both the equations and give answer :
a) If x > y
b) If x >= y
c) If x < y
d) If x <= y
e) If x = y or the relationship can’t be established.
79). I. 6x² + 29x + 28 = 0
II. 6y² + 11y + 4 = 0
80) I. x² + 3x – 54 = 0
II. y² + 4y – 77 = 0
81).Thirty men can do a work in 24 days. In how many days can 20 men do the work , given that time spent per day is increased by 1/3 of the previous time.
a) 30
b) 28
c) 36
d) 27
e) none of these
82). A certain distance is covered at a certain speed.if half of this distance is coveredin double the time, the ratio of the two speed is.
a) 4:1
b) 1:4
c) 1:8
d) 1:6
e) 8:1
83). An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest, is?
a) 10:28 am
b) 10:30 am
c) 10:31 am
d) 10:35 am
e) None of these
84). The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is?
a) 48
b) 22
c) 56
d) 27
e) None of these
85). Find the LCM of?
2/3 , 4/6 , 8/27
a) 2/27
b) 8/3
c) 2/3
d) 8/27
e) None of these
86). A fruit seller sells mangoes at the rate of Rs.9 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit of 5%
a) Rs 8.81
b) Rs 9.81
c) Rs 10.81
d) Rs 11.81
e) None of these
87). In terms of percentage profit, which among following the best transaction.
a) C.P. 36, Profit 17
b) C.P. 50, Profit 24
c) C.P. 40, Profit 19
d) C.P. 60, Profit 29
e) None of these
88). 8, 12, 21,37,62,98 ?
a) 98
b) 238
c) 240
d) 206
e) None of these
89) 3, 7, 19, 39, 67, ?
a) 107
b) 113
c) 109
d) 103
e) None of these
90). 8.5% of 160 – 0.42% of 750 = ?
a) 11.45
b) 12.45
c) 13.45
d) 9.45
e) 10.45
91). 1200 480 192 76.8 30.72 12.288 ?
a) 4.9152
b) 5.8192
c) 6.7112
d) 7.6132
e) 8.5172
92). 963 927 855 747 603 423 ?
a) 209
b) 208
c) 207
d) 206
e) 205
93). 841 961 1089 1225 1369 1521 ?
a) 1581
b) 1681
c) 1781
d) 1881
e) 1981
94). 18 20 44 138 560 2810 ?
a) 16818
b) 16836
c) 16890
d) 16872
e) 16890
95). 6 26 134 666 3334 16666 ?
a) 84334
b) 83334
c) 83434
d) 83443
e) None of these
Directions: (96– 100) Study the information carefully to answer the questions that follow:
A school consisting of a total of 3120 students has boys and girls in the ratio of 7 : 5 respectively. All the students are enrolled in different types of hobby classes, viz. Singing, Dancing and Painting. One-fifth of the boys are enrolled in only Dancing classes. Twenty per cent of the girls are enrolled in only Painting classes. Ten per cent of the boys are enrolled in only Singing classes. Twenty four per cent of the girls are enrolled in only Singing and Dancing classes together. The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same. One-thirteenth of the boys are enrolled in all the three classes together. The respective ratio of boys enrolled in only Dancing and Painting classes together to the girls enrolled in the same is 2 : 1 respectively. Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in only Dancing and Painting classes together. The remaining girls are enrolled in all the three classes together. The number of boys enrolled in only Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same. The remaining boys are enrolled in only Painting classes.
96). Total number of girls enrolled in Singing is approximately what per cent of the total number of students in the school ?
a) 22
b) 38
c) 64
d) 28
e) 26
97). What is the respective ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same ?
a) 77 : 26
b) 21 : 73
c) 26 : 77
d) 73 : 21
e) None of these
98). Number of girls enrolled in only Dancing classes is what per cent of the boys enrolled in the same? (Rounded off to two digits after decimal)
a) 38•67
b) 35•71
c) 41•83
d) 28•62
e) None of these
99). What is the total number of boys who are enrolled in Dancing ?
a) 636
b) 728
c) 584
d) 868
e) None of these
100). What is the total number of students enrolled in all the three classes together ?
a) 150
b) 125
c) 140
d) 160
e) None of these
Total Time= 90 Minutes
1. 675.456 + 12.492 * 55.671 = ?
a) 971
b) 1071
c) 1171
d) 1371
e) None of these
2. 4374562 * 64 = ? * 7777
a) 360
b) 3600
c) 36000
d) 360000
e) None of these
3. (4576 + 3286 + 5639) / (712 + 415 + 212) = ?
a) 10
b) 18
c) 22
d) 34
e) None of these
4. (872% of 659) / 543 = ?
a) 17
b) 11
c) 21
d) 27
e) None of these
5. 1875 / 35 * 3242 / 48 = ?
a) 3525
b) 3618
c) 3641
d) 3591
e) None of these
6. 414 * ? * 7 = 127512
a) 36
b) 40
c) 44
d) 48
e) None of these
7. 8888 + 848 + 88 – ? = 7337 + 737
a) 1750
b) 1650
c) 1550
d) 1450
e) None of these
8. 74 + 12 * 0.75 – 6 = ?
a) 72
b) 67
c) 62
d) 77
e) None of these
9. 515.15 – 15.51 – 1.51 – 5.11 – 1.11 = ?
a) 491.91
b) 419.91
c) 499.19
d) 411.19
e) None of these
10. {(84)^2 / 28 * 12} / 24 = 7 * ?
a) 15
b) 18
c) 17
d) 19
e) None of these
11). 354, 180, 64, 21, 10.2, ?
a) 5.6
b) 8.7
c) 3.8
d) 1.7
e) None of these
12.) 4.5, 18, 2.25, ?, 1.6875, 33.75
a) 27
b) 25.5
c) 36
d) 40
e) None of these
13.) 59.76, 58.66, 56.46, 52.06, ?, 25.66
a) 48.08
b) 46.53
c) 43.46
d) 43.26
e) None of these
14. )36, 157, 301, 470, ?, 891
a) 646
b) 695
c) 666
d) 669
e) None of these
15). 14, 70, 350, ?, 8750, 43750
a) 1570
b) 1750
c) 875
d) 785
e) None of these
16). The content of two vessels containing water and milk are in the ratio 2 : 3 and 3 : 5 are mixed in the ratio 1 : 2. The resulting mixture will have water and milk in the ratio?
a) 24 : 37
b) 23 : 37
c) 23 : 35
d) 25 : 37
e) None of these
17). Anant and Anish started a business, Anish puts in double what Anant puts. Anish withdraws one-third of his capital at the end of 3 months but at the end of 7 months puts back one-third of what he has taken out, when Anant takes out one-fourth of his capital. Anish receives Rs.6000 as profit at the end of the year, what does Anant receive?
a) Rs.3375
b) Rs.3265
c) Rs.3195
d) 3485
e) None of these
18). The difference between a discount of 36% and two successive discount of 20% and 25% on a certain bill was Rs.28. Find the amount of the bill?
a) Rs.750
b) Rs.760
c) Rs.700
d) Rs.720
e) None of these
19) A reduction of 27/2% in the price of oranges enables a person to buy 6 more for Rs.2. What is the reduced price of per oranges?
a) Rs.11/200
b) Rs.9/200
c) Rs.7/200
d) Can’t be determined
e) None of these
20). A batsman in his twenty first innings missed a century by 3 runs and there by increases his average by 2. What is his average after twenty first innings?
a) 56
b) 58
c) 59
d) 57
e) None of these
21). Two-third of a commodity is sold at 27% profit, one-fifth is sold at 20% profit and the rest at 15% profit. If the total profit of Rs.87 is earned, find the value of the commodity?
a) Rs.382.5
b) Rs.352.6
c) Rs.362.5
d) Rs.372.5
e) None of these
22) A cistern is normally filled in 7 hours but takes 2 hours longer to fill because of leak in its bottom. If the cistern is full, then the leak will empty the cistern in how many hours?
a) 32.1
b) 31.5
c) 36.4
d) 30.5
e) None of these
23. From a pack of 52 cards, 2 cards are drawn, what is the probability that the card drawn is of heart?
a) 3/51
b) 5/51
c) 4/51
d) 7/51
e) None of these
24). Bajirao got 30% of the maximum marks in an examination and failed by 10 marks. However, Mastani who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination?
a) 35
b) 75
c) 250
d) 85
e) None of these
25) A boat covers a certain distance downstream in 1 hour, while it comes back in 3/2 hours. If the speed of the stream be 3 km/h, what is the speed of the boat in still water? (km/h)
a) 15
b) 20
c) 30
d) 10
e) None of these
Directions (Q.26– 30): In each question two equations are provided. On the basis of these you have to find out the relation between X and Y. Give answer
a) If X = Y or relation can’t be established
b) If X > Y
c) If Y > X
d) If X >= Y, and
e) If Y >= X.
26). I. 14X^2 – 5X – 1 = 0
II. 2Y^2 + 3Y + 1 = 0
27). I. 2X + Y = 12
II. 3X + 5Y – 32 = 0
28). I. 2Y^2 + 45Y – 23 = 0
II. X^2 + 48X + 575 = 0
29). I. 4Y^2 – 7Y + 3 = 0
II. X^2 – 2X + 1 = 0
30). I. 225X^2 + 105X – 44 = 0
II. 210Y^2 + 319Y + 121 = 0
31). In a meeting between two countries, each country has 12 delegates. All the delegates of one country shake hands with all delegates of the other country. Find the number of handshakes possible?
a) 72
b) 144
c) 288
d) 234
e) None of these
32. There are 10 questions in a question paper. In how many ways, a student can solve these questions, if he solve one or more questions?
a) 1024
b) 1025
c) 1023
d) 1000
e) None of these
Directions (Q.33– 35): Study the following information carefully to answer the questions that follow.
A box contains 2 blue caps, 4 red caps, 5 green caps and 1 yellow cap.
33. If two caps are picked at random, what is the probability that both are blue?
a) 1/6
b) 1/10
c) 1/45
d) 1/66
e) None of these
34). If one cap is picked at random, what is the probability that it is either blue or yellow?
a) 2/6
b) 1/4
c) 2/8
d) 6/11
e) None of these
35). if two caps are picked at random, what is the probability that atleast one is red?
a) 1/3
b) 16/21
c) 19/33
d) 7/19
e) None of these
36). A tap can fill an empty tank in 12 h and a leakage can empty the tank in 20 h. If tap and leakage both work together, then how long will it take to fill the tank?
a) 25 h
b) 40 h
c) 30 h
d) 35 h
e) None of these
37). A tank has a leak which would empty it in 8 h. A tap is turned on which admits 3 L a min into the tank and it is now emptied in 12 h. How many litres does the tank hold?
a) 4320 L
b) 4000 L
c) 2250 L
d) 4120 L
e) None of these
38). A tap having diameter ‘d’ can empty a tank in 40 min. How long another tap having diameter ‘2d’ take to empty the same tank?
a) 5 min
b) 20 min
c) 10 min
d) 40 min
e) None of these
39). Two pipes A and B can fill a tank in 24 and 32 min, respectively. If both the pipes are opened together, after how much time pipe B should be closed so that the tank is full in 9 min?
a) 40 min
b) 30 min
c) 10 min
d) 20 min
e) None of these
40). A pipe can fill a cistern in 12 min and another pipe can fill it in 15 min, but a third pipe can empty it in 6 min. The first two pipes are kept open for 5 min in the beginning and then the third pipe is also opened. Time taken to empty the cistern is:
a) 45 min
b) 38 min
c) 22 min
d) 42 min
e) None of these
41). Capacity of tap B is 80% more than that of A. If both the taps are opened simultaneously, they take 45 h to fill the tank. How long will B take to fill the tank alone?
a) 72 h
b) 70 h
c) 48 h
d) 66 h
e) None of these
42). Two taps A and B can fill a tank in 25 min and 20 min, respectively. But taps are not opened properly, so the taps A and B allow 5/6 th and 2/3 rd part of water, respectively. How long will they take to fill the tank?
a) 12 min
b) 13 min
c) 14 min
d) 15 min
e) None of these
43). Three taps A, B and C fill a tank in 20 min, 15 min and 12 min, respectively. If all the taps are opened simultaneously, how long will they take to fill 40% of the tank?
a) 1 min
b) 2 min
c) 3 min
d) 4 min
e) None of these
44). Two pipes A and B are opened together to fill a tank. Both pipes fill the tank in a certain time. If A separately takes 16 min more than the time taken by (A+B) and B takes 9 min more than the time taken by (A+B). Find the time taken by A and B to fill the tank when both the pipes are opened together?
a) 10 min
b) 12 min
c) 15 min
d) 8 min
e) None of these
45). Inlet A is four times faster than inlet B to fill a tank. If A alone can fill it in 15 min, how long will it take if both the pipes are opened together?
a) 10 min
b) 12 min
c) 15 min
d) 14 min
e) None of these
46). 30% of the men are more than 25 years old and 80% of the men are less than or equal to 50 years old. 20% of all men play football. If 20% of the men above the age of 50 play football, what percentage of the football players are less than or equal to 50 years?
A. 60%
B. 70%
C. 80%
D. 90%
47). A man can row 7.5 kmph in still water and he finds that it takes him twice as long to row up as to row down the river. Find the rate of stream.
a) 10 km/hr
b) 2.5 km/hr
c) 5 km/hr
d) 7.5 km/hr
48). What is the probability of drawing a “Queen” from a deck of 52 cards?
a) 1/2
b) 1/13
c) 1/6
d) 1/3
49). A letter is randomly taken from English alphabets. What is the probability that the letter selected is not a vowel?
a) 525
b) 225
c) 526
d) 21/26
50). Father is aged three times more than his son Sunil. After 8 years, he would be two and a half times of Sunil’s age. After further 8 years, how many times would he be of Sunil’s age?
a) 4 times
b) 4 times
c) 2 times
d) 3 times
51). Six years ago, the ratio of the ages of Vimal and Saroj was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Saroj’s age at present?
a) 18
b) 17
c) 16
d) 15
52). A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. What is his profit percentage?
a) 6%
b) 5%
c) 4%
d) 7%
53) Two trains having length of 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions (on parallel tracks). The time which they take to cross each other, is
a) 10.8 s
b) 12 s
c) 9.8 s
d) 8 s
54). A train overtakes two persons who are walking in the same direction to that of the train at 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. What is the length of the train?
a) 62 m
b) 54 m
c) 50 m
d) 55 m
55). Arun took a loan of Rs. 1400 with simple interest for as many years as the rate of interest. If he paid Rs.686 as interest at the end of the loan period, what was the rate of interest?
a) 8%
b) 6%
c) 4%
d) 7%
56). If a shopkeeper sales a cow at 16(2/3) % profit and a buffalo at 12(1/2)% loss, he gains Rs. 30 in whole transaction. If he sales a cow at 12.5 % loss and the buffalo at 16(2/3)% profit he neither gains nor losses. Find sum of their prices ?
a) 620
b) 720
c) 725
d) 625
e) None of these
57). A person sold his watch for Rs 24. If the percentage of his loss was equal to the cost price, then the watch would have cost him
a) Rs. 40
b) Rs. 60
c) Rs. 50
d) Rs. 80
e) None of these
58). In a two digit number the digit at unit’s place is less than twice the digit at ten’s place by 1. And the difference between the number obtained by interchanging its digits and the original number is 50% of the number obtained by adding 1 in original number. What is the original number?
a) 46
b) 57
c) 35
d) 68
e) None of these
59). A sum of money amounts to Rs. 2380 in four years at simple interest. If the rate of interest be raised by 30%, the sum amounts to Rs. 2584 during the same period. What is the rate of interest ?
a) 8%pa
b) 10%pa
c) 12%pa
d) 13%pa
e) Cannot be determined.
60). A person sold a ball and a bat together for Rs.1966 there by making a profit of 16% on ball and 12% on bat. By selling them together for Rs.2024, he would have made a profit of 12% on ball and 16% on bat. What is the cost price of ball and bat together ?
a) 1600
b) 1650
c) 1700
d) 1750
e) 1800
61). If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:
a) 50 km
b) 56 km
c) 70 km
d) 80 km
62.) A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.
a) Rs. 1900
b) Rs. 2660
c) Rs. 2800
d) Rs. 2840
63.) On dividing a number by 357, we get 39 as remainder. On dividing the same number 17, what will be the remainder ?
a) 0
b) 3
c) 5
d) 11
64). In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, what is the dividend ?
a) 4236
b) 4306
c) 4336
d) 5336
65). The least perfect square, which is divisible by each of 21, 36 and 66 is:
a) 213444
b) 214344
c) 214434
d) 231444
66). (31.98)² – (35.02)² + (19.03)² = ?² + √255
a) +/- 13
b) +/- 18
c) +/- 9
d) +/- 12
67). Rahul purchased a house for Rs. 10 lakh. He sold it at 6% loss. With that money he again purchased another house and sold it at a profit of 12%. What is his overall loss/profit?
a) Rs. 54, 600 profit
b) Rs. 51, 800 loss
c) Rs. 52, 800 profit
d) Rs. 51, 900 loss
68). Ms. Pooja invests 13% of her monthly salary, i.e. Rs. 8554 in Mediclam Policies. Later she invests 23% of her monthly salary on child Education Policies; also she invests another 8% of her monthly salary on Mutual Funds. What is the total annual invested by Ms. Pooja?
a) Rs. 28952
b) Rs. 43428
c) Rs. 347424
d) Rs. 173712
69). Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P,Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?
a) 5/11
b) 7/11
c) 9/11
d) 6/11
70). 8.5% of 160 – 0.42% of 750 = ?
a) 11.45
b) 12.45
c) 10.45
d) 9.45
71). 18935, 3780, 750, 145, 25, ?
a) 5
b) 2
c) 4
d) 3
e) None of these
72.) 3, 10, 32, 111, ?, 2315, 13902
a) 512
b) 460
c) 424
d) 412
e) None of these
73.) 16, 24, ?, 210, 945, 5197.5, 33783.75
a) 36
b) 40
c) 60
d) 58
e) None of these
74.) 16, 15, 21, ?, 77, 195.5, 588.5
a) 36.5
b) 39
c) 37.5
d) 36
e) None of these
75). 142, 871, 1383, 1726, 1942, 2067, ?
a) 2283
b) 2131
c) 2134
d) 2192
76). Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 3?
a) 3/10
b) 3/20
c) 2/5
d) ½
e) None of these
77). In how many ways 6 boys and 3 girls be seated in a row so that the three girls do not sit together ?
a) 56 × 6 !
b) 66 × 7 !
c) 46 × 7 !
d) 76 × 6 !
e) None of these
78) In how many ways 6 boys and 6 girls be seated in a row alternatively ?
a) 2 × 6 ! × 6 !
b) 4 × 6 ! × 6 !
c) 5 × 6 ! × 6 !
d) 6 ! × 6 !
e) None of these
Direction:(Q.79;80) In the following questions two equations numbered (I) and (II) are given. You have to solve both the equations and give answer :
a) If x > y
b) If x >= y
c) If x < y
d) If x <= y
e) If x = y or the relationship can’t be established.
79). I. 6x² + 29x + 28 = 0
II. 6y² + 11y + 4 = 0
80) I. x² + 3x – 54 = 0
II. y² + 4y – 77 = 0
81).Thirty men can do a work in 24 days. In how many days can 20 men do the work , given that time spent per day is increased by 1/3 of the previous time.
a) 30
b) 28
c) 36
d) 27
e) none of these
82). A certain distance is covered at a certain speed.if half of this distance is coveredin double the time, the ratio of the two speed is.
a) 4:1
b) 1:4
c) 1:8
d) 1:6
e) 8:1
83). An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest, is?
a) 10:28 am
b) 10:30 am
c) 10:31 am
d) 10:35 am
e) None of these
84). The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is?
a) 48
b) 22
c) 56
d) 27
e) None of these
85). Find the LCM of?
2/3 , 4/6 , 8/27
a) 2/27
b) 8/3
c) 2/3
d) 8/27
e) None of these
86). A fruit seller sells mangoes at the rate of Rs.9 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit of 5%
a) Rs 8.81
b) Rs 9.81
c) Rs 10.81
d) Rs 11.81
e) None of these
87). In terms of percentage profit, which among following the best transaction.
a) C.P. 36, Profit 17
b) C.P. 50, Profit 24
c) C.P. 40, Profit 19
d) C.P. 60, Profit 29
e) None of these
88). 8, 12, 21,37,62,98 ?
a) 98
b) 238
c) 240
d) 206
e) None of these
89) 3, 7, 19, 39, 67, ?
a) 107
b) 113
c) 109
d) 103
e) None of these
90). 8.5% of 160 – 0.42% of 750 = ?
a) 11.45
b) 12.45
c) 13.45
d) 9.45
e) 10.45
91). 1200 480 192 76.8 30.72 12.288 ?
a) 4.9152
b) 5.8192
c) 6.7112
d) 7.6132
e) 8.5172
92). 963 927 855 747 603 423 ?
a) 209
b) 208
c) 207
d) 206
e) 205
93). 841 961 1089 1225 1369 1521 ?
a) 1581
b) 1681
c) 1781
d) 1881
e) 1981
94). 18 20 44 138 560 2810 ?
a) 16818
b) 16836
c) 16890
d) 16872
e) 16890
95). 6 26 134 666 3334 16666 ?
a) 84334
b) 83334
c) 83434
d) 83443
e) None of these
Directions: (96– 100) Study the information carefully to answer the questions that follow:
A school consisting of a total of 3120 students has boys and girls in the ratio of 7 : 5 respectively. All the students are enrolled in different types of hobby classes, viz. Singing, Dancing and Painting. One-fifth of the boys are enrolled in only Dancing classes. Twenty per cent of the girls are enrolled in only Painting classes. Ten per cent of the boys are enrolled in only Singing classes. Twenty four per cent of the girls are enrolled in only Singing and Dancing classes together. The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same. One-thirteenth of the boys are enrolled in all the three classes together. The respective ratio of boys enrolled in only Dancing and Painting classes together to the girls enrolled in the same is 2 : 1 respectively. Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in only Dancing and Painting classes together. The remaining girls are enrolled in all the three classes together. The number of boys enrolled in only Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same. The remaining boys are enrolled in only Painting classes.
96). Total number of girls enrolled in Singing is approximately what per cent of the total number of students in the school ?
a) 22
b) 38
c) 64
d) 28
e) 26
97). What is the respective ratio of the number of girls enrolled in only Painting classes to the number of boys enrolled in the same ?
a) 77 : 26
b) 21 : 73
c) 26 : 77
d) 73 : 21
e) None of these
98). Number of girls enrolled in only Dancing classes is what per cent of the boys enrolled in the same? (Rounded off to two digits after decimal)
a) 38•67
b) 35•71
c) 41•83
d) 28•62
e) None of these
99). What is the total number of boys who are enrolled in Dancing ?
a) 636
b) 728
c) 584
d) 868
e) None of these
100). What is the total number of students enrolled in all the three classes together ?
a) 150
b) 125
c) 140
d) 160
e) None of these
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