Problems based on numbers
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1. A document containing 20 multiple choice questions with varying topics was provided. The questions ranged from mathematics, ratios, averages, percentages, time/work problems and more. 2. For each question, 4 possible answers (A, B, C, or D) were given to choose from. 3. The questions were to be solved and the correct answer choice identified.
![C.60 m2 D.80 m2
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17 A man wants to sell his scooter. There are two offers, one at Rs. 12,000 cash and the other a
. credit of Rs. 12,880 to be paid after 8 months, money being at 18% per annum. Which is the
better offer?
A.Rs. 12,000 in cash B.s. 12,880 at credit
C.Both are equally good D.[NIL]
Workspace
18 The banker's discount of a certain sum of money is Rs. 72 and the true discount on the same
. sum for the same time is Rs. 60. The sum due is:
A.Rs. 360 B.Rs. 432
C.Rs. 540 D.Rs. 1080
Workspace
19 A man standing at a point P is watching the top of a tower, which makes an angle of elevation
. of 30º with the man's eye. The man walks some distance towards the tower to watch its top
and the angle of the elevation becomes 60º. What is the distance between the base of the
tower and the point P?
A.43 units B.8 units
C.12 units D.Data inadequate
E. None of these
Workspace
Direction (for Q.No. 20):
Insert the missing number.
20 8, 7, 11, 12, 14, 17, 17, 22, (....)
. 2 2
A. B.
7 0
2 2
C. D.
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Problems based on numbers
- 1. 1. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case. A.4 B.7 1 C.9 D. 3 2 Which of the following fraction is the largest ? . 1 7 3 A. B. 8 1 6 3 6 1 3 C. D. 4 8 0 0 3 . . 009 = .01 ? . . A. B. 0009 09 . C. D.9 9 4 The least perfect square, which is divisible by each of 21, 36 and 66 is: . 21344 21434 A. B. 4 4 21443 23144 C. D. 4 4 5 If x 3 + 1 and y 3 - 1 , then the value of (x2 + y2) is: . = 3-1 = 3+1 1 1 A. B. 0 3 1 1 C. D. 4 5 Direction (for Q.No. 6): Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. 6 What is Arun's present age? . I. Five years ago, Arun's age was double that of his son's age at that time. II. Present ages of Arun and his son are in the ratio of 11 : 6 respectively. III. Five years hence, the respective ratio of Arun's age and his son's age will become 12 : 7. A.Only I and II
- 2. B.Only II and III C.Only I and III D.Any two of the three E. None of these 7 If A = x% of y and B = y% of x, then which of the following is true? . A.A is smaller than B. B.A is greater than B Relationship between A and B cannot be If x is smaller than y, then A is greater C. D. determined. than B. E. None of these 8 If 20% of a = b, then b% of 20 is the same as: . 4% of 5% of A. B. a a 20% of C. D.None of these a 9 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 . pumps work to empty the tank in 1 day? 1 A.9 B. 0 1 1 C. D. 1 2 10 One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill . the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in: A.81 min. B.108 min. C.144 min. D.192 min. 11 A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back . in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is: A.4 B.5 1 C.6 D. 0 12 A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to . pay Rs. 5400 interest only for the period. The principal amount borrowed by him was: A.Rs. 2000 B.Rs. 10,000 C.Rs. 15,000 D.Rs. 20,000 13 A man walked diagonally across a square lot. Approximately, what was the percent saved by . not walking along the edges? A.2 B.2
- 3. 0 4 3 3 C. D. 0 3 14 . By investing in 16 % stock at 64, one earns Rs. 1500. The investment made is: A.Rs. 5640 B.Rs. 5760 C.Rs. 7500 D.Rs. 9600 15 A man buys a watch for Rs. 1950 in cash and sells it for Rs. 2200 at a credit of 1 year. If the . rate of interest is 10% per annum, the man: A.gains Rs. 55 B.gains Rs. 50 C.loses Rs. 30 D.gains Rs. 30 Direction (for Q.No. 16): Find the odd man out. 16 10, 25, 45, 54, 60, 75, 80 . 1 4 A. B. 0 5 5 7 C. D. 4 5 Direction (for Q.Nos. 17 - 19): Find out the wrong number in the given sequence of numbers. 17 582, 605, 588, 611, 634, 617, 600 . 63 61 A. B. 4 1 60 60 C. D. 5 0 18 36, 54, 18, 27, 9, 18.5, 4.5 . 4. 18. A. B. 5 5 5 1 C. D. 4 8 19 56, 72, 90, 110, 132, 150 . 7 11 A. B. 2 0 13 15 C. D. 2 0 Direction (for Q.No. 20): Insert the missing number. 20 8, 24, 12, 36, 18, 54, (....)
- 4. . 2 10 A. B. 7 8 6 7 C. D. 8 2 1. In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for? 16 17 A. B. 0 5 18 19 C. D. 0 5 Workspace 2 62 1 x x 11 is equal to: . 5 4
- 5. 2 19 11 5 6 A.5 B.6 1 C.8 D. 1 Workspace Direction (for Q.No. 3): Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. 3 In a cricket team, the average age of eleven players in 28 years. What is the age of the captain? . I. The captain is eleven years older than the youngest player. II. The average age of 10 players, other than the captain is 27.3 years. III. Leaving aside the captain and the youngest player, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively. All I, II and A.Any two of the three B. III II and III C.II only or I and III only D. only E. None of these Workspace 4 In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product . of the given number and the sum of its digits is equal to 144, then the number is: 2 2 A. B. 4 6 4 4 C. D. 2 6 Workspace 5 Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the . number. 1 A.3 B. 0 1 2 C. D. 7 0 Workspace 6 Ayesha's father was 38 years of age when she was born while her mother was 36 years old . when her brother four years younger to her was born. What is the difference between the ages of her parents? A.2 years B.4 years C.6 years D.8 years Workspace Direction (for Q.No. 7): Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. 7 What is the present age of Tanya?
- 6. . I. The ratio between the present ages of Tanya and her brother Rahul is 3 : 4 respectively. II. After 5 years the ratio between the ages of Tanya and Rahul will be 4 : 5. III. Rahul is 5 years older than Tanya. I and II A. only II and III B. only I and III C. only All I, II and D. III E. Any two of the three Workspace 8 In an election between two candidates, one got 55% of the total valid votes, 20% of the votes . were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was: 270 290 A. B. 0 0 300 310 C. D. 0 0 Workspace 9 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. His profit percent is: No profit, no A. B.5% loss C.8% D.10% E. None of these Workspace Direction (for Q.No. 10): Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both 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. • Give answer (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. • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question. • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question. • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
- 7. 10 A man mixes two types of rice (X and Y) and sells the mixture at the rate of Rs. 17 per kg. . Find his profit percentage. I. The rate of X is Rs. 20 per kg. II. The rate of Y is Rs. 13 per kg. A.I alone sufficient while II alone not sufficient to answer B.II alone sufficient while I alone not sufficient to answer C.Either I or II alone sufficient to answer D.Both I and II are not sufficient to answer E. Both I and II are necessary to answer Workspace 11 An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many . seconds will it take for the loom to weave 25 metres of cloth? 17 19 A. B. 8 5 20 48 C. D. 4 8 Workspace 12 A takes twice as much time as B or thrice as much time as C to finish a piece of work. . Working together, they can finish the work in 2 days. B can do the work alone in: A.4 days B.6 days C.8 days D.12 days Workspace 13 If log 27 = 1.431, then the value of log 9 is: . 0.93 0.94 A. B. 4 5 0.95 0.95 C. D. 4 8 Workspace 14 If log10 2 = 0.3010, the value of log10 80 is: . 1.602 1.903 A. B. 0 0 3.903 C. D.None of these 0 Workspace 15 The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling . along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is: 1536 15360 A. B. 0 0 3072 30720 C. D. 0 0 Workspace 16 The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its . curved surface. A.30 m2 B.40 m2
- 8. C.60 m2 D.80 m2 Workspace 17 A man wants to sell his scooter. There are two offers, one at Rs. 12,000 cash and the other a . credit of Rs. 12,880 to be paid after 8 months, money being at 18% per annum. Which is the better offer? A.Rs. 12,000 in cash B.s. 12,880 at credit C.Both are equally good D.[NIL] Workspace 18 The banker's discount of a certain sum of money is Rs. 72 and the true discount on the same . sum for the same time is Rs. 60. The sum due is: A.Rs. 360 B.Rs. 432 C.Rs. 540 D.Rs. 1080 Workspace 19 A man standing at a point P is watching the top of a tower, which makes an angle of elevation . of 30º with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60º. What is the distance between the base of the tower and the point P? A.43 units B.8 units C.12 units D.Data inadequate E. None of these Workspace Direction (for Q.No. 20): Insert the missing number. 20 8, 7, 11, 12, 14, 17, 17, 22, (....) . 2 2 A. B. 7 0 2 2 C. D. 2 4