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TS ICET | Arithmetical Ability | Ratio and Proportion Problems
Ratio and Proportion Problems
1. The ratio of the ages of Ajay and Ram is 3: 4. After 5 years, the new ratio of their ages will be 4: 5. What is the age of Ajay present?
a) 15 years
b) 10 years
c) 11 years
d) 14 years
e) None of these
2. The sum of three numbers is 98. If the ratio of the first to second is 2:3 and that of the second to the third is 5: 8, then the second number is:
a) 20
b) 30
c) 48
d) 58
e) None of these
3. The fourth proportional to 5, 8, 15 is?
a) 18
b) 24
c) 19
d) 20
e) None of these
4. The ratio between the area of a rectangle and a square is 5: 4 respectively. If the side of the square is 8 cm. and the length of a rectangle is 10 cm. what is the breadth of the rectangle?
a) 8 cm
b) 7 cm
c) 8 cm
d) 6 cm
e) 4 cm
5. Two number are in the ratio 3: 5. If 9 is subtracted from each, the new numbers are in the ratio 12: 23. The smaller number is?
a) 27
b) 33
c) 49
d) 55
e) None of these
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TS ICET | Analytical Ability | Number Series Problems |
Direction: What will come in place of the question mark (?) in the given number series?
1.?, 56, 36, 21, 11, 6
a) 85
b) 85
c) 81
d) 80
e) None of these
2. 156, 162, 174, 192, ? , 246
a) 215
b) 220
c) 208
d) 217
e) 216
3. 33, 31, 36, ?, 39
a) 34
b) 35
c) 36
d) 37
e) None of these
4. 12, 27, 59,?, 259, 529
a) 120
b) 121
c) 125
d) 129
e) None of these
5. 0, 6, 24, 60, 120, 210, 336, ?
a) 504
b) 501
c) 509
d) 505
e) None of these
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TS ICET | Analytical Ability | Wrong Number Series Problems
Direction: Find the wrong term in the following number series?
1) 289, 292, 297, 306, 322, 356
a) 297
b) 356
c) 322
d) 292
e) 306
2) 28, 66, 128, 224, 348, 518
a) 28
b) 348
c) 66
d) 518
e) 224
3) 797, 420, 197, 97, 47, 22, 9.5
a) 197
b) 47
c) 97
d) 22
e) 420
4) 289, 292, 297, 306, 322, 356
a) 297
b) 356
c) 322
d) 292
e) 306
5) 28, 66, 128, 224, 348, 518
a) 28
b) 348
c) 66
d) 518
e) 224
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TS ICET | Analytical Ability | Data Analysis Problems |
Direction: Read the information given in the passage and answer the given question:
In Village A with 7500 residents, a survey was conducted for the viewership of TV shows of different languages. It was observed that out of the total population. 25% watch Hindi TV shows only. 15% watch Marathi TV shows only. 13% watch Tamil TV shows only and 10% watch Gujarati TV shows only. 8% watch both Hindi and Tamil TV shows. 7% watch both Hindi and Marathi TV shows. 9% watch Marathi, Tamil and Gujarati TV shows while 8% watch Hindi. Marathi and Gujarati TV shows. Rest of the population watches TV shows of all the languages.
1. How many people in Village A watch Hindi TV shows?
a) 3995
b) 3984
c) 3975
d) 3977
e) 3970
2. What is the total number of females who watch both Gujarati as well as Tamil TV shows, if the respective ratio between the total number of females and the number of males who watch the same is 8:7?
a) 560
b) 565
c) 568
d) 564
e) None of these
3. How many people watch both Marathi as well as Gujarati TV shows?
a) 1650
b) 1653
c) 1655
d) 1658
e) None of these
4. How many people do not watch Tamil TV shows?
a) 4872
b) 4870
c) 4875
d) 4877
e) 4879
5. How many households watch neither Hindi nor Gujarati TV shows?
a) 2124
b) 2123
c) 2125
d) 2100
e) None of these
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TS ICET | Analytical Ability | Blood Relation Problems |
Study the following information and answer the given question:
K and M are the children of G. G is married to R. S is the sister of G. A is the only son of R. P is the son of K.
1) How is S related to R?
a) Daughter
b) Daughter In law
c) Niece
d) Grand Daughter
e) Sister In law
2. If S does not have any sister, then how is G related to P?
a) Father in law
b) Grandmother
c) Grandfather
d) Aunt
e) Uncle
3. How is M related to P?
a) Father
b) Aunt
c) Mother
d) Grand Mother
e) None of these
Study the following information and answer the given question:
M is the mother of T. T is the brother of S is the mother of J. J is the brother of Z. Z is the son of D. D is the son of L. L is the mother of K.
1. How is L related to S?
a) Mother
b) Father-in-law
c) Father
d) Mother-in-law
e) Cannot be determined
2. How is T related to Z?
a) Mother
b) Father
c) Aunt
d) Cousin
e) Uncle
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Analytical Ability | Number Series Problems |
Direction: What will come in place of the question mark (?) in the given number series?
1) 23, 28, 34, 41, 49,?
a) 59
b) 57
c) 58
d) 55
e) None of these
2) 36, 34, 30, 28, 24,?
a) 20
b) 22
c) 23
d) 26
e) None of these
3) 12, 27, 59,?, 259, 529
a) 120
b) 121
c) 125
d) 129
e) None of these
4) 0, 6, 24, 60, 120, 210, 336, ?
a) 504
b) 501
c) 509
d) 505
e) None of these
5) 2, 5, 14, 41, 122, ?
a) 365
b) 367
c) 375
d) 371
e) 373
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TS ICET | Arithmetical Ability | Time and Work Problems |
Time and Work
1. 10 boys can complete a work in 7 days and 10 girls take 14 days to complete the work. How many days will 5 boys and 10 girls take to complete the work?
a) 13 days
b) 10 days
c) 7 days
d) 16 days
e) None of these
2. If 10 men take 15 days to complete a work. In how many days will 37 men complete the work?
a) 3 days
b) 4 days
c) 5 days
d) 6 days
e) None of these
3. 12 men complete a work in 14 days. 5 days after they had started working, 3 men join them. How many more days will all of them take to complete the remaining work?
a) 5
b) 4
c) 3
d) 2
e) None of these
4. Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?
a) 3: 7
b) 7: 3
c) 4: 3
d) 6: 5
e) None of these
5. P, Q, and R can do a job in 12 days together. If their efficiency of working be in the ratio 3: 8: 5, Find in what time Q can complete the same work alone?
a) 36 days
b) 30 days
c) 24 days
d) 22 days
e) None of these
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Analytical Ability | Wrong Number Series Problems |
Direction: Find the wrong term in the following number series?
1) 13, 20, 48, 112, 237, 453, 796
a) 112
b) 237
c) 48
d) 453
e) 20
2) 28, 66, 128, 224, 348, 518
a) 28
b) 348
c) 66
d) 518
e) 224
3) 239, 240, 246, 253, 269, 294, 330
a) 294
b) 240
c) 253
d) 250
e) 246
4) 567, 579, 607, 649, 711, 797
a) 579
b) 711
c) 607
d) 649
e) 797
5) 4, 5.1, 7.3, 10.6, 15, 20, 27.1
a) 5.1
b) 20
c) 7.3
d) 4
e) None of these
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Analytical Ability | Number Series Problems |
Direction: What will come in place of the question mark (?) in the given number series?
1) 7, 13, 20, 28, 37, ?
a) 49
b) 48
c) 47
d) 46
e) 45
2) 52, 100, 150, 203, 261, 326, ?
a) 510
b) 625
c) 402
d) 405
e) None of these
3) 156, 162, 174, 192, ? , 246
a) 215
b) 220
c) 208
d) 217
e) 216
4) 4, 24, 120, 480, 1440, ?
a) 2520
b) 720
c) 1440
d) 2780
e) 2880
5) 23, 28, 34, 41, 49,?
a) 59
b) 57
c) 58
d) 55
e) None of these
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TS ICET | Mathematical Ability | Miscellaneous Problems |
Mathematical Ability Miscellaneous Problems
1. Of three positive numbers, the ratio of the first and second numbers is 3:4 & that of the second and third numbers is 5:6. The product of the second and third numbers is 4320. What is the sum of three numbers?
a) 170
b) 175
c) 172
d) 179
e) 177
2. If the ratio of investment and time period of A and B are 5:3 and 6:7 respectively. Then find the ratio of their profits share?
a) 5:7
b) 10:7
c) 8:5
d) 7:3
e) 4:5
3. Set-A contains 6 consecutive odd numbers and their average is 38 Set-B contains 6 consecutive even numbers and the lowest number of Set-B is 27 more than the highest number of Set-A. What is the average of the numbers in Set-B?
a) 73
b) 75
c) 69
d) 81
e) 79
4. The perimeter of a square is 176 m. Area of a rectangle is 584 sq. m more than the area of the given square. If the breadth of the rectangle is 45 m, what is its perimeter? (in m)
a) 302
b) 192
c) 202
d) 204
e) None of these
5. A can complete a work in 15 days and B can complete the work in 20 days. If B works for 8 days and left the job, then in how many days the A can complete the remaining job?
a) 9 days
b) 14 days
c) 10 days
d) 15 days
e) None of these
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Reasoning | Miscellaneous Problems |
Direction: Find the odd word/letters/number pair from the given alternatives.
1) a. TOP
b. COP
c. MOP
d. JOP
2) a. Triangle – Three
b. Pentagon – Five
c. Rectangle – Three
d. Square – Four
3) a. ECBY
b. RTUX
c. GEDA
d. WUTQ
4) a. BDF
b. NQS
c. TVX
d. HJL
5) a. (3, 12)
b. (2, 6)
c. (6, 42)
d. (5, 35)
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TS ICET | Reasoning | Analogy Problems |
Direction: Select the related word/letters/number from the given alternatives.
1. Coins: Mint:: Bricks : ?
a) Kiln
b) Foundry
c) Cement
d) Finance
2. Pascal: Pressure:: ? : ?
a) Hectare: Volume
b) Speed: Temperature
c) Joule: Work
d) Time: Seconds
3. MOLTU : ? :: HOPE : IPQF
a) MPNUV
b) NPMUV
c) NPMVU
d) MPNVU
4. 583: 295:: 486: ?
a) 291
b) 378
c) 487
d) 581
5. 456 : 15 :: 789 : ?
a) 22
b) 24
c) 26
d) 2
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TS ICET | Reasoning | Directions Problems |
Direction: Study the following information carefully to answer the given question:
Rahul starts to walk for 5 m to his east from point A then he takes a right turn and walks for 10 m then again, he takes a right turn and walks for 3 m then he takes a left turn and walks for 7 m and reached to point B. Manish starts walks for 7 m to his south from point C then he takes a left turn and walks for 4 m and reached to point B.
1. If point D is 2 m to the west of B then what is the distance between A and D?
a) 15 m
b) 17 m
c) 22 m
d) 14 m
e) None of these
2. In which of the following direction is point C with the respect to point A?
a) South-east
b) North-west
c) South-west
d) South
e) North
Direction: Study the given Information carefully to answer the given question:
Point U is 8 m east of point B. Point R is 2 m south of point B. Point R is 7 m north of point S. Point K is between points S and M. Point K is 3 m away from point M. Point Y is 4 m south of point M. Point M is to the east of point S.
3. Point M is in which direction with respect to point R?
a) North – East
b) South - East
c) South
d) East
e) North
4. Point U is in which direction with respect to point S?
a) North – West
b) South
c) West
d) North – East
e) East
5. Shiva cycles 8 km towards the south. He takes a left turn and moves 8 km more. He again takes a left turn and moves 16 km. In which direction is he now from his original position?
a) North-east
b) North-west
c) South-east
d) South-west
e) None of these
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TS ICET | Analytical Ability | Wrong Number Series Problems
Direction: Find the wrong term in the following number series?
1) 12, 34, 100, 296, 892, 2674
a) 34
b) 892
c) 296
d) 100
e) 2674
2) 2, 26, 286, 2004, 10010, 30030
a) 286
b) 10010
c) 30030
d) 2004
e) 26
3) 4, 26, 178, 1238, 8672
a) 26
b) 4
c) 1238
d) 178
e) 8672
4) 273, 277, 281, 293, 313, 343
a) 273
b) 313
c) 273
d) 277
e) 293
5) 21, 43, 88, 175, 362, 729
a) 43
b) 88
c) 362
d) 729
e) 175
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TS ICET | Analytical Ability | Data Sufficiency Problems |
Directions: Study the following information carefully and answer the questions given below.
Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. Read both the statements and give answer:
A. If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
B. If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
C. If the data either in statement I alone or in statement II alone are sufficient to answer the question.
D. If the data even in both statements I and II together are not sufficient to answer the question.
E. If the data in both statements I and II together are necessary to answer the question.
1. How is M related to C?
I. M is the only child of K. C is father of L, who is brother-in-law of P. N is the brother of L. L is married to K. N is unmarried.
II. C is married to B. N is the son of M. O is brother of L. M is married to L. O is the only male child of B. P is the sister of M. B is a male.
2. Who among P, Q, R, S and T is the lightest?
I. R is heavier than Q and T but lighter than S.
II. S is not the heaviest.
3. How many people are sitting around the circle (all are facing inside)?
I. U is sitting third to the right of V, who is sitting third to the right of Y. Three persons are sitting in between Z and U.
II. Two persons are sit in between Y and Z who is sitting second to the right of U. V is sitting third right of Y and three persons sit between U and V.
4. In a certain code language ‘fi ku le ja’ means ‘Indian Kabaddi Premier League’. Then what is the code of ‘league’?
I. If in the given code language ‘Premier league shifted venue’ is written as ‘le hi nu ku’.
II. If in the given code language ‘league venue cricket Goa’ is written as ‘nu le fi un’.
5. Some persons i.e. S, R, M, N, C, D and Z are sitting in a row such that all are facing in the north direction, who among the following sits on the right end of the row?
I. R sits third to the left of D and both does not sit at the end of the row. Z sits fourth to the right of M and one of them sits at the end of the row. N sits third to the right of S. C is not the immediate neighbour of D.
II.D sits second to right of R. One of the immediate neighbours of D sits fifth to the right of C. Z sits second to the right of M. Neither S nor N sits at the end of the row. S and N are not the immediate neighbours of each other.
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TS ICET | Reasoning | Number Series Problems |
Direction: What will come in place of the question mark (?) in the given number series?
1) 64,100,144, 196, ?, 324
a) 256
b) 225
c) 289
d) 250
e) None of these
2) 2, 5, 14, 41, 122, ?
a) 365
b) 367
c) 375
d) 371
e) 373
3) 7, 13, 20, 28, 37, ?
a) 49
b) 48
c) 47
d) 46
e) 45
4) 12, 27, 59,?, 259, 529
a) 120
b) 121
c) 125
d) 129
e) None of these
5) 12, 27, 59,?, 259, 529
a) 120
b) 121
c) 125
d) 129
e) None of these
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Arithmetical Ability | Areas and Volumes Problems
Areas and Volumes
1. The ratio between the perimeter and the breadth of a rectangle is 5: 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
a) 16 cm
b) 18 cm
c) 24 cm
d) 23 cm
e) 19 cm
2. Perimeter and area of a rectangle are 88 cm and 43 cm respectively. Then what is the length of the rectangle?
a) 43 cm
b) 44 cm
c) 40 cm
d) 42 cm
e) 39 cm
3. There are two square fields. Of the two square fields one is 1 hectare area while the other is broader by 8% find the difference in area expressed in sq. m?
a) 1364
b) 1554
c) 1664
d) 1896
e) 1483
4. If the length of a rectangle is increased by 10% and breadth is decreased by 5%. Then the change in area is?
a) 4.5% decrease
b) 5% increase
c) 5.5% increase
d) 6% decrease
e) 3.5% decrease
5. The length of a rectangle is 4 cm more than its breadth the perimeter is 68 cm. Then find the area of the rectangle?
a) 295
b) 270
c) 255
d) 285
e) 265
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