TANCET MBA 2014 Data Sufficiency (DS)

The 2014 TANCET MBA had 20 questions in data sufficiency. Data sufficiency has been a main stay of the TANCET MBA exam and accounts for a fifth of the paper. There were few questions that were relatively easy and a student who would have prepared seriously for the TANCET should be able to get 10 in this section if he or she allotted about 20 minutes to this section in the test. These questions appeared as the 61st to the 80th question in the TANCET test.

Please note that the level of difficulty suggested for any question has been mentioned keeping an average TANCET test taker. If you are preparing for a different exam, the difficulty levels of quite a few questions could differ.

Instructions for answering

The questions are followed by two statements labelled (1) and (2), in which certain data are given. You have to decide whether the data given in the two statements are sufficient for answering the question. Using the data given in the problem plus your knowledge of mathematics and everyday facts, choose the answer as:

1. If statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
2. If statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
3. If both the statements (1) and (2) TOGETHER are sufficient, but NEITHER statement alone is sufficient.
4. If each statement ALONE is sufficient.
5. If statements (1) and (2) TOGETHER are not sufficient, and additional data is needed.

1. Q61. If only people who paid the deposits attended the Management Seminar, how many people attended this year?

   1. 70 people sent in deposits to attend the Management Seminar this year.
   2. 60 percent of the people who sent deposits to attend the Management Seminar this year actually went.

   Choice (3)Statements (1) and (2) TOGETHER are sufficient. Correct answer Explanatory Answer Easy Video Explanation

2. Q62. A car drives along a straight road from Sankarankoil to Coimbatore, going through Madurai along the way. What is the total distance travelled by the car from Sankarankoil to Coimbatore?

   1. The distance from Sankarankoil to Madurai is 3/5 of the entire distance.
   2. The distance from Madurai to Coimbatore is 12 km.

   Concept: Speed Time Distance

   Choice (3)Statements (1) and (2) TOGETHER are sufficient. Correct answer Explanatory Answer Easy Video Explanation

3. Q63. What is the value of x?

   1. x² = 4
   2. x < 0

   Concept: Number Properties

   Choice (3)Statements (1) and (2) TOGETHER are sufficient. Correct answer Explanatory Answer Easy Video Explanation

4. Q64. What is the value of xy?

   1. x² = 4
   2. y = 0

   Concept: Number Theory

   Choice (2)Statement (2) ALONE is sufficient, but statement (1) alone is NOT sufficient. Correct answer Explanatory Answer Easy Video Explanation

5. Q65. Manju purchased 18 cans of soda, some of which contained diet soda. How many of the cans did not contain diet soda?

   1. Of the cans Manju purchased, the number containing diet soda is equal to the number not containing diet soda.
   2. Of the cans Manju purchased, the number of cans containing diet soda is odd.

   Choice (1)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. Correct answer Explanatory Answer Easy Video Explanation

6. Q66. In 1988, was the number of people in city X greater than three times the number of people in city Y?

   1. In 1998, there were approximately 1.1 million more people in city X than in city Y.
   2. In 1988, the 300,000 Hindus in city X made up for 20 percent of its population and the 141,000 Buddhists in city Y made up 30 percent of its population.

   Concept: Percents

   Choice (2)ALONE is sufficient, but statement (1) alone is not sufficient Correct answer Explanatory Answer Medium Video Explanation

7. Q67. If point X is directly north of point Y and directly west of point Z, what is the distance from point X to point Z?

   1. The distance from Y to Z is 20 cm.
   2. The distance from X to Y is equal to half the distance from Y to Z.

   Concept: Trigonometry

   Choice (3)TOGETHER statement (1) and statement (2) are SUFFICIENT. Correct answer Explanatory Answer Medium Video Explanation

8. Q68. What is the value of the integer W?

   1. W is a multiple of 3.
   2. 420 < W < 425

   Concept: Number Properties

   Choice (3)TOGETHER statement (1) and statement (2) are SUFFICIENT. Correct answer Explanatory Answer Easy

9. Q69. What is the surface area of the rectangular solid y?

   1. The dimensions of one face of the rectangular solid y are 2 by 3.
   2. The area of another face of the rectangular solid y is 6.

   Concept: Mensuration

   Choice (5)Statements (1) and (2) together are NOT sufficient. Additional data is required Correct answer Explanatory Answer Medium Video Explanation

10. Q70. What is the sum of x, y and z?

    1. 2x + y + 3z = 45
    2. x + 2y = 30

    Concept: Linear Equations

    Choice (3)TOGETHER statement (1) and statement (2) are SUFFICIENT. Correct answer Explanatory Answer Medium Video Explanation

11. Q71. Is rectangular block B a cube?

    1. At least two faces of the rectangular block B are squares.
    2. The volume of the rectangular block B is 64.

    Concept: Mensuration

    Choice (5).Statements (1) and (2) together are NOT sufficient. Additional data is required. Correct answer Explanatory Answer Medium Video Explanation

12. Q72. A foot race will be held on Saturday. How many different arrangement of medal winners are possible?

    1. Medals will be given for 1st, 2nd and 3rd place.
    2. There are 10 runners in the race.

    Concept: Permutation

    Choice (1)Statement (1) ALONE is SUFFICIENT. Correct answer Explanatory Answer Medium Video Explanation

13. Q73. If the first term of the data set {x, y, z} is 3, what is the third term?

    1. The range of this data set is 0.
    2. The standard deviation of this data set is 0.

    Concept: Statistics

    Choice (4)Each statement is INDEPENDENTLY sufficient. Correct answer Explanatory Answer Medium Video Explanation

14. Q74. During a five-day period, Monday through Friday, the average (arithmetic mean) high temperature was 86 degrees Fahrenheit. What was the high temperature on Friday?

    1. The average high temperature for Monday through Thursday was 87 degrees Fahrenheit.
    2. The high temperature on Friday reduced the average high temperature for the week by 1 degrees Fahrenheit.

    Concept: Averages

    Choice (4)Each statement is INDEPENDENTLY sufficient. Correct answer Explanatory Answer Medium Video Explanation

15. Q75. If a - b = c, what is the value of b?

    1. c + 6 = a
    2. a = 6

    Concept: Simple Equations

    Choice (1)Statement (1) ALONE is sufficent, but statement (2) alone is not. Correct answer Explanatory Answer Easy Video Explanation

16. Q76. Square G has sides of length 4 cm. Is the area of the Square H exactly one-half the area of Square G?

    1. The length of the diagonal of Square H equals the length of one side of Square G.
    2. The perimeter of Square H is twice the length of the diagonal of Square G.

    Concept: Mensuration

    Choice (4)Each statement is INDEPENDENTLY sufficient. Correct answer Explanatory Answer Medium Video Explanation

17. Q77. Paul jogs at a constant rate for 80 minutes along the same route everyday. How long is his route?

    1. Yesterday, Paul began jogging at 5 p.m.
    2. Yesterday, Paul had jogged 5 km by 5:40 p.m. and 8 km by 6:04 p.m.

    Concept: Speed Distance Time

    Choice (2)Statement (2) ALONE is SUFFICIENT. Correct answer Explanatory Answer Medium Video Explanation

18. Q78. What is the value of the integer x?

    1. \\ x = \sqrt[3]{64} \\)
    2. x² = 2x + 8

    Concept: Equations

    Choice (1)Statement (1) ALONE is sufficent, but statement (2) alone is not. Correct answer Explanatory Answer Easy Video Explanation

19. Q79. Automobile A is travelling at 2/3rd of the speed that Automobile B is travelling at. How fast is Automobile A travelling?

    1. If both automobiles increased their speed by 10 km per hour, Automobile A would be travelling at 3/4th the speed of Automobile B.
    2. If both automobiles decreased their speed by 10 km per hour, Automobile A would be travelling at 1/2 the speed of Automobile B.

    Concept: Speed Time Distance

    Choice (4)Each statement is INDEPENDENTLY sufficient. Correct answer Explanatory Answer Medium Video Explanation

20. Q80. If t is a multiple of prime number s, is t a multiple of s²?

    1. s < 4
    2. t = 18

    Concept: Number Properties

    Choice (5)The statements together are NOT sufficient. Additional data is required. Correct answer Explanatory Answer Hard Video Explanation