Time: 25 min
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1. The average of 6 observations is 12. If the number obtained in 7th observation is also included in the numerical value of the six previous observations then overall average decreases by 1. What is the number obtained in the 7thobservation?
(a) 6
(b) 5
(c) 8
(d) 7
(e) None of these
2. The average age of Nishant and Vibha at the time of their marriage was 26 years. After 12 years of their marriage, the average age of their family which included 5 children was reduced to 18 years. What is the average age of the children?
(a) 8 years
(b) 9.5 years
(c) 10 years
(d) 11 years
(e) None of these
3. The first, second and third class fares between two stations are in the ratio of 6 : 4 : 1 and travellers of these three classes are in the ratio of 2 : 5 : 50. If total income being accrued from these three classes in Rs. 12,300, then income from the travellers who travel in third class is :
(a) Rs. 8100
(b) Rs. 8200
(c) Rs. 7500
(d) Rs. 9000
(e) None of these
4. In a mixture of spirit and water, amount of spirit is 18%. If 8 litre of this mixture is replaced by equal amount of water, amount of spirit in the mixture becomes 15%. What is the quantity of total mixture?
(a) 48 litre
(b) 40 litre
(c) 46 litre
(d) 52 litre
(e) None of these
5. If the price of mangoes goes down by 10%, find the percentage of increase that a family should effect in its consumption so as not to alter expenditure on this account.
(a) 121)9%
(b)101/9 %
(c) 100/9%
(d) 98/9%
(e) None of these
6. A test paper consists of 5 questions. 5% of the students who took the test solved all questions and 5% did not solve any of the questions. Of the remaining students, 25% solved only 1 question and 20% solved 4 questions while 49/2% of the total students solved 2 questions. If the number of students who solved 3 questions is 200, find the total number of students who took the test.
(a) 700
(b) 600
(c) 800
(d) 900
(e) None of these
7. A sum of money amounts to Rs. 944 in 3 years at a certain rate of simple interest. If the rate of interest is increased by 25%, then the same sum of money will amount to Rs. 980 during the same time period. Find the former rate of interest.
(a) 10%
(b) 8%
(c) 6%
(d) 5%
(e) None of these
8. Present ages of Tarun and Gulshan are 12 years and 10 years respectively. They want to deposit in Post Office a total sum of Rs. 5204 in such a proportion that at the age of 15, each of them may get an equal amount. If the Post Office pays 4% p.a. compound interest on the total sum of deposit, find the part of money deposited by each of them.
(a) Rs. 2502, Rs. 2702
(b) Rs. 2704, Rs. 2500
(c) Rs. 2804, Rs. 2400
(d) Rs. 2204, Rs 3000
(e) None of these
9. The manufacturer of a machine sells it to a wholesaler at a profit of 20%. The wholesaler, in turn, sells it to a retailer at a gain of 10%. The retailer sells it to a customer for Rs. 1452 at a profit of 10%. The cost price of the machine for the manufacturer is :
(a) Rs. 1000
(b) Rs. 1200
(c) Rs. 1350
(d) Rs. 1050
(e) None of these
10. A river is flowing at a speed of 5 km/h in a particular direction. A man, who can swim at a speed of 20 km/h in still water, starts swimming along the direction of flow of the river from point A and reaches another point Z which is at a distance of 30 km from the starting point A. On reaching point Z, the man turns back and starts swimming against the direction of flow of the river and stops after reaching point A. The total time taken by the man to complete his journey is
(a) 2 h 30 min
(b) 3 h 12 min
(c) 3 h 30 min
(d) 3 h 45 min
(e) None of these
11. A can do a piece of work in 90 days, B in 40 days and C in 12 days. They work for a day each in turn, i.e., first day A does it alone, second day B does it alone and 3rd day C does it alone. After that the cycle is repeated till the work is finished. They get Rs 240 for this job. If the wages are divided in proportion to the work each had done. Find the amount A will get?
(a) 14
(b) 24
(c) 34
(d)36
(e) 48
12. A committee of five persons is to be chosen from a group of 9 people. The probability that a certain married couple will either serve together or not at all is :
(a) 5/9
(b) 4/9
(c) 13/18
(d) 11/27
(e) None of these
13. Sum of area of a circle and a rectangle is equal to 1166 sq.cm. The diameter of the circle is 28 cm. What is the sum of the circumference of the circle and the perimeter of the rectangle if the length of the rectangle is 25 cm?
(a) 186 cm
(b) 182 cm
(c) 184 cm
(d) Cannot be determined
(e) None of these
14. Anamika’s science test consist of 85 questions from three sections- i.e. P, Q and R. 10 questions from section P, 30 questions from section Q and 45 question from section R. Although, she answered 70% of section P, 50% of section Q and 60% of section R correctly. She did not pass the test because she got less than 60% of the total marks. How many more questions she would have to answer correctly to earn 60% of the marks which is passing grade?
(a) 4
(b) 2
(c) 5
(d) 6
(e) 8
15. A merchant employed a servant on the condition that for every working day he will be paid as remuneration Rs. 31.50 and for every absence a fine of Rs. 7.50 will be charged and amount of fine imposed will be deducted from the amount of wages earned by him. If after 72 days the servant was paid Rs. 1917.00, find the total number of his working days.
(a) 61
(b) 55
(c) 60
(d) 63
(e) None of these
Directions (16-20): Study the following table carefully and answer the questions given below.
Number of students appeared and qualified in an examination from five states over the years 2011 to 2016.
Years
|
P
|
Q
|
R
|
S
|
T
| |||||
App.
|
Qual.
|
App.
|
Qual.
|
App.
|
Qual.
|
App.
|
Qual.
|
App.
|
Qual.
| |
2011
|
950
|
230
|
880
|
200
|
1075
|
315
|
975
|
260
|
1120
|
325
|
2012
|
1090
|
320
|
960
|
250
|
1125
|
290
|
990
|
305
|
1208
|
308
|
2013
|
860
|
240
|
1100
|
330
|
950
|
275
|
1400
|
375
|
1375
|
380
|
2014
|
1200
|
350
|
1250
|
290
|
1240
|
325
|
1175
|
310
|
1060
|
265
|
2015
|
1150
|
300
|
1300
|
325
|
1220
|
340
|
1080
|
295
|
995
|
235
|
2016
|
6230
|
1720
|
6570
|
1731
|
6750
|
1850
|
6770
|
1825
|
6833
|
1803
|
16. Total number of disqualified students from state R all over the years is approximately what percent of the total disqualified students in year 2011 ?
(a) 244%
(b) 254%
(c) 248%
(d) 236%
(e) 240%
17. What is the difference in the average number of qualified students from state Q, taken all years together and average number of qualified students from state S taken all years together except 2011 ?
(a) 111
(b) 108
(c) 201
(d) 103
(e) None of these
18. The ratio of general, OBC and SC candidates in those who disqualified in year 2012 was 6 : 4 : 3. If total number of SC girls who appeared for exam from all states together in that year was 355, then find the total number of SC boys who write the exam that year ?
(a) 538
(b) 535
(c) 545
(d) 542
(e) None of these
19. By approximately what percent the difference in number of disqualified students from states P and S in 2016 more or less than the difference between disqualified students from states Q and T in year 2012 ?
(a) 138%
(b) 120%
(c) 122%
(d) 130%
(e) 135%
20. What is the difference between 40% of total disqualified students in year 2014 and 40% of total disqualified students in 2012 ?
(a) 191
(b) 194
(c) 184
(d) 197
(e) 195
Directions (21-25): In the following questions, select the number(s) from the given options for completing the given series.
21. 3, 12, 24, 96, 192, ?
(a) 768
(b) 384
(c) 702
(d) 298
(e) None of these
22. 24, 60, 120, 210, ?
(a) 300
(b) 336
(c) 420
(d) 525
(e) None of these
23. 150, 30, 15, 3, ?
(a) 1.5
(b) 20
(c) 0
(d) -2.5
(e) None of these
24. 5, 14, 41, 86, ?
(a) 149
(b) 123
(c) 157
(d) 131
(e) 136
25. 2, 11, 7, 16, 12, ?, 17, 26
(a) 21
(b) 8
(c) 11
(d) 76
(e) 54
Directions (26-30): In each of these questions, two equations (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 relationship between x and y cannot be established.
26. I. 676x2 - l = 0
II. y = 1÷ ³√13824
27. I. 8x + 13y = 62
II. 13x - 17y + 128 = 0
28. I. 7x2 + 2x = 120
II. y2 + 11y + 30 = 0
29. I. x2 = 7x
II. (y + 7)2 = 0
30. I. 2x2 + 5x - 33 = 0
II. y2 - y - 6 = 0
31. The length of one side of a rhombus is 6.5 cm and its altitude is 10 cm. If the length of its diagonal be 26 cm, the length of the other diagonal will be:
(a) 5 cm
(b) 10 cm
(c) 6.5 cm
(d) 26 cm
(e) None of these
32. How many different words can be formed from the word DAUGHTER so that ending and beginning letters are consonants?
(a) 7200
(b) 14400
(c) 360
(d) 14200
(e) None of these
33. A can complete a piece of work in 10 days. B is 25% more efficient than A and C is 60% more efficient than B. Working together, how long would they take to finish the job?
(a) 17
(b) 16
(c) 19
(d) 18
(e) None of these
34. A merchant blends two varieties of tea from two different tea gardens, one costing Rs. 45 per kg and other Rs. 60 per kg in the ratio of 7 : 3 respectively. He sells the blended variety at Rs. 54.45 per kg. Find his profit percent in this transaction.
(a) 10.5%
(b) 12%
(c) 10%
(d) 11%
(e) None of these
35. A candidate is required to answer 6 out of 10 questions which are divided into two groups each containing 5 questions and he is not permitted to attempt more than 4 from each group. In how many ways can he make up his choice?
(a) 200
(b) 150
(c) 164
(d) 236
(e) None of these
Answer : [ Please Share Your Marks ]
___________
1. (b)
2. (c)
3. (c)
4. (a)
5. (c)
6. (c)
7. (c)
8. (b)
9. (a)
10. (b)
11. (b)
12. (b)
13. (b)
14. (b)
15. (d)
16. (a)
17. (e)
18. (c)
19. (d)
20. (b)
21. (a); Pattern is ×4, ×2, ×4, ×2, …..
22. (b); Pattern is 3³ – 3, 4³ – 4, 5³ - 5, 6³ – 6, …………
23. (a); Pattern is ÷ 5, ÷ 2, ÷ 5, ÷ 2, ………..
24. (a); Pattern is +9×1, +9×3, +9×5, +9×7, ……….
25. (a); Pattern is +9, –4, +9, –4, ………..
26. (c)
27. (c)
28. (a)
29. (a)
30. (e)
31. (a)
32. (b)
33. (e)
34. (c)
35. (a)
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