XAT Aptitude-Reasoning Contributed by Fila updated on May 2019

Directions Q. 1 - 5: Refer to the diagram given below:

MARKS OBTAINED BY TWO STUDENTS

1. Sohan’s average for the first six years was:
I. equal to that of the last six years.
II. equal to that of the middle six years.
III. 225
(1) III only
(2) I & III
(3) I, II & III -Answer
(4) II & III

2. When was Mohan’s score exactly half of Sohan’s in the given nine years?
(1) 1984
(2) 1985
(3) 1986

3. How can Mohan’s scoring pattern be best described?
(1) It increases by 50% every year.
(2) It increases by 25% every year.
(3) It increases by 50 every year.
(4) It increases by 25 every year.-Answer

4 What is the difference between the total scores of Mohan and Sohan?
(1) 700
(2) 825
(4) 225

5. In how many of the given years was Sohan’s score exactly thrice that of Mohan’s score?
(2) two
(3) three
(4) four

Directions Q. 6 - 10: The table shows the raw material requirements for a crank-shaft machining line of a major automobile manufacturer located in western India:

RAW MATERIAL REQUIREMENT (Units)

Day

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

Units

50

25

30

20

5

6

2

10

15

20

25

10

5

20

10

The Company policy requires that adequate raw material has to be maintained at least a day in advance.

6. If the raw material inventory on Day 0 was 165 units, the manager requires to place on order latest by which day?
(1) 8 th
(3) 10th
(4) 11th

7. If the raw material inventory on Day 0 was 73 units and the manager orders for 17, 53 and 86 units on the first, second and fourth day respectively, when does he need to order next?
(1) 10th day
(2) 11th day
(4) 14th day

8. If the raw material supplier starts acting fishy and delays his supplies by 48 hrs, then which day’s production will be hit if the starting inventory on day 0 is 163 units and an order is placed on the morning of day 7?
(2) Day 8
(3) Day 9
(4) Day 10

9. If the cost of placing on order is Rs. 650/per order, determine the minimum cost incurred in Q.32 if we consider the whole cycle of 15 days.
(1) Rs. 1,950
(2) Rs. 650
(4) Rs. 3,250

10. If the daily pilferage is 5 units, find the minimum number of units to be ordered through the whole cycle if we start with an inventory on Day 0 of 100 units? (assume that we end with zero inventory)
(1) 296
(2) 153
(3) 75

Directions Q. 11 - 15: The following pie - chart shows the percentage of students passed in an examination from different parts of the country in 1999.

The following graph shows the percentage of students who passed their graduation (fres hers) in 1999.

11. If in 1999 the total passed candidates from different parts of the country was 650, then how many non fresher candidates from Bihar passed the examination in 1999?
(1) 200
(2) 195
(4) 204

12. If in 1999 the total number of freshers from WB was 160, then how many non - fresher candidates passed the exam from others?
(1) 1398
(2) 1588
(3) 1608

13. If total passed candidates from UP in 1999 was 112, what is the ratio between the number of freshers fro m Bihar and that of non - freshers from Orissa?
(1) 760 : 187
(2) 187 : 760
(3) 40 : 11

14. If there is an increase of 10% and 20% candidates from Bihar and Others in the year 2000 respectively, and the number of total passed candidates from Orissa in 1999 was 77,
what would be the approximate total passed candidates from Bihar and Others in 2000?
(1) 210
(2) 480
(3) 450

15. If the non -fresher candidates from UP in 1999 was 60, how many candidates passed the exam from all parts of the country?
(2) 300
(3) 350
(4) 450

Directions Q. 16 to : are based on the following information:

- Ghosh Babu’s new interest is psychology. He has identified various personality patterns and given them names. These pe rsonality patterns are inter -related as follows:
- All Alessandras, Belissimas, Cassandras, Desdemonas, Elissimas and Firdauses are Queens.
- All Alessandras are Belissimas.
- No Belissima that is not an Alessandra is a Firdaus.
- Some Cassandras are Alessandras.
- All Desdemonas are Cassandras.
- Some Cassandras are not Belissimas.
- No Desdemona is an Alessandra.
- All Queens and only Queens that are neither Belissimas nor Cassandras are
Elissimas.

16. Which of the following is true?
(1) All Firdauses are Alessandras.
(2) Some Firdauses are Alessandras.
(3) All Firdauses are either Alessandras, Cassandras or Elissimas. -Answer
(4) Some Firdauses are Cassandras.

17. Which of the following is not true?
(2) Some Belissimas are Desdemonas.
(3) Some Firdauses are both Belissimas and Cassandras.
(4) Some Queens are neither Belissimas nor Elissimas.

18. Which of the following cannot be said to be true or false?
I. No Belissima or Cassandra is an Elissima.
II. Some Cassandras are Belissimas but not Alessandras.
III. No Belissima is both an Alessandra and a Desdemona.
(1) I only
(3) III only
(4) I & II

19. Peter is
(1) not a Belissima, therefore, Peter is an Elissima
(2) If Peter is a Queen , he is an Elissima or Cassandra.-Answer
(3) If Peter is not an Elissima, he is a Cassandra.
(4) None of the above

Directions: Each of the questions 20- 52 is followed by two statements. As the answer,
Mark 1, if the question can be answered with the help of statement I alone,
Mark 2, if the question can be answered with the help of statement II alone,
Mark 3, if both statement I and statement II are needed to answer the question, and
Mark 4, if the question cannot be answered even with the help of both the statements.

20. Is line MN perpendicular to the X -axis?
I. M = (5, 12)
II. N lies on the X -axis at a distance of 5 units from the origin.

21. What is the value of x?
I. log2 2x = x
II. log3 x = 0

22. How much tax did Mrs. X pay?
I. Gauri paid twice the amount that Rajat did last year.
II. Rajat paid Rs. 9800 as tax this year.

23. A, B, C and D are points on a straight line. Is AB = BC = CD?
I. AC = 2 CD
II. AB = BC

24. What is the area of the isosceles trapezium?
I. Of the two parallel sides, one is 6 cm. smaller than the other.
II. The line joining the midpoints of the non -parallel sides is 13 cm. in length and is at a distance of 2 cm. from the base.

25. If a and b are integers, is (a/4 + b/5) an integer?
I. The cube root of a is an even number which is 1/10th the value of b.
II. a is divisible by 5 and b is divisible by 4.

26. A cube is painted on all sides and is cut into smaller cubes, all of the same size. How many of the smaller cubes do not have any side painted?
I. 8 of the smaller cubes are painted on the three sides.
II. The number of smaller cubes is 64.

27 Is x/y prime?
I. x is divisible by 3 but not by 9
II. y is a multiple of 6

28  On 1st January 1969, a person purchases Rs. 10,000, 4% debentures. On 1st Jan. 1970, he sells ¾ of it at a discount of 6% and invests the proceeds in steel shares at Rs. 470 per share. He sells the remaining debentures at Rs. 105 and purchases bonds at a price of Rs.75 per bond. Each bond pays Rs. 5. Each share pays Rs. 16. Find the alternation in his annual income in 1970?
(1) Rs. 15 decrease
(2) Rs. 25 increase
(4) None

29. Which of the following is NOT true?
(1) |a + b| = | b + a|
(2) |a - b| = |b - a|
(3) |a + b | < |a| +|b| (4) | a - b | > |a| - |b|-Answer

30. Find the least number which when divided by 35, 45, and 55 leaves the remainder 18, 28, and 38 respectively.
(1) 3465
(2) 17
(3) 3449

31. Between two numbers whose sum is 6 ½ an even number of arithmetic means is inserted;the sum of these means exceeds their number by unity. How many means are there?
(2) 6
(3) 24
(4) None

32. A trader buys goods from Delhi to sell in Bombay where he gets 20% higher price realisation. Per journey, he spends Rs. 2000 on travelling, Rs. 2500 as bribe to the parcel authority and makes a net profit of Rs. 20,000. Find the total value of goods purchased by the dealer in 7 journeys to Delhi.
(1) Rs. 1,22,500
(2) Rs. 2,45,000
(4) None

33. A family consists of the father, mother, two sons and the youngest daughter. The age of father is four times the age of the second son. The age of the first son is in the ratio of 3 : 1 with that of his sister. The mother is 3.5 times older than the second son. The age of the second son is 2/3 times of the first son. The age of the youngest daughter is 5 years. Find the sum of all the ages.
(1) 115 yrs
(3) 205 yrs
(4) 210 yrs

34. A can do a piece of work in 36 days, B in 54 days and C in 72 days. All of them began together but A left 8 days and B left 12 days before the completion of the work. How many days in all did C put in till the entire work was finished?
(1) 48 days
(3) 12 days
(4) None

35. A person travels through 5 cities - A, B, C, D, E. Cities E is 2 km west of D. D is 3 km north -east of A. C is 5 km north of B and 4 km west of A. If this person visits these cities in the sequence B - C - A - E - D, what is the effective distance between cities B and D?
(2) 9 km
(3) 10 km
(4) 11 km

ESSAY TOPIC:

Discuss the following statement in the space provided (1 page was given separately to give the response)

Asked at the age of 83, as to which of his project would he choose as his master- piece, Frank Lloyd Wright the architect answered “The next one”