TANCET MBA 2014 Quantitative Reasoning

Quantitative Reasoning or Mathematics section in 2014 had 20 questions. Many of the aptitude questions were relatively easy and a student who would have prepared seriously for the TANCET should have got 12 to 14 marks in this section if he or she allotted about 30 minutes to this section in the test. These questions appeared as the 41st to the 60th question in the TANCET test.

Few of the questions were best left untouched - only the examiner knew with what intention those questions were asked - question 54 (14th in the sequence in this web page) is a case in point.

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.

1. Q41. The continued ratio of Rs.200, Rs.400 and Rs.600 is

   1. 2 : 4
   2. 4 : 6
   3. 6 : 2
   4. 2 : 4 : 6
   5. 4 : 6 : 2

   Concept: Ratio Proportion

   Choice (4)The ratio is 2 : 4 : 6. Correct answer Explanatory Answer Very Easy Video Explanation

2. Q42. What is the value of x if \10 \over 3\\) : x :: \5 \over 2 \\) : \5 \over 4\\)?

   1. 2
   2. 8
   3. \5 \over 3\\)
   4. \10 \over 3\\)
   5. \5 \over 4\\)

   Concept: Ratio Proportion

   Choice (3)The value of x is 5/3 Correct answer Explanatory Answer Easy Video Explanation

3. Q43. The value of 6ab²c³ * 4b^-2c^-3d is

   1. 6a
   2. 4b
   3. 24ad
   4. 4d
   5. 0

   Concept: Indices

   Choice (3)The value of 6ab²c³ * 4b^-2c^-3d is 24ad Correct answer Explanatory Answer Easy Video Explanation

4. Q44. Find the value of k if \\sqrt 9^{-7}\\) * \\sqrt 3^{-5} \\) = \3^k \\)

   1. 3
   2. \-12 \over 2\\)
   3. \-19 \over 2\\)
   4. 5
   5. 7

   Concept: Indices, Irrational numbers

   Choice (3)(-19)/2 Correct answer Coming soon Medium

5. Q45. Find the logarithm of 5832 to the base \3 \\) \\sqrt 2\\)

   1. 3
   2. 5
   3. 28
   4. 6
   5. 22

   Concept: Logarithm

   Choice (4)The value is 6. Correct answer Coming soon Hard

6. Q46. Find the value of y if \\ \left\{y + 11 \over 6 \right\} - \left\{y + 1 \over 9 \right\} = \left\{y + 7 \over 4 \right\}\\)

   1. 6
   2. \{-1} \over 7 \\)
   3. \1 \over 6 \\)
   4. \3 \over 4 \\)
   5. 0

   Concept: Equations

   Choice (2)(-1/7) Correct answer Coming soon Easy

7. Q47. If the sum of two numbers is 52 and their difference is 2, the numbers are

   1. 17 and 15
   2. 12 and 10
   3. 27 and 25
   4. 50 and 52
   5. 49 and 3

   Concept: Equations

   Choice (3)The numbers are 27 and 25. Go from answer choices. Correct answer Coming soon Easy

8. Q48. What are the values of x and y if 3x + 2y + 17 = 0 and 5x - 6y - 9 = 0?

   1. -3 and -4
   2. 5 and 6
   3. 3 and 2
   4. -3 and -5
   5. -4 and -5

   Concept: Equations

   Choice (1)x = -3 and y = -4.Ideally you should substitute answer choices and solve this question. Correct answer Coming soon Easy

9. Q49. The equation of the straight line passing through the points (-5, 2) and (6, -4) is

   1. 11x + 6y + 8 = 0
   2. x + y + 4 = 0
   3. 6x + 11y + 8 = 0
   4. x + y + 20 = 0
   5. 8x + 11y + 6 = 0

   Concept: Coordinate Geometry

   Choice (3)The equation of the line is 6x + 11y + 8 = 0The best way to solve is to substitute answer choices. Correct answer Coming soon Easy

10. Q50. In how many different ways a club with 10 members can select a President, Secretary and Treasurer if no member can hold two offices and each member is eligible for any office?

    1. 520
    2. 720
    3. 2200
    4. 120
    5. 780

    Concept: Permutation

    Choice (2) 720 ways. Correct answer Coming soon Medium

11. Q51. There are 7 men and 3 ladies. Find the number of ways in which a committee of 6 can be formed if the committee is to include at least two ladies?

    1. 140
    2. 105
    3. 35
    4. 24
    5. 52

    Concept: Permutation Combination

    Choice (1)The committee can be formed in 140 ways. Correct answer Coming soon Hard

12. Q52. The 20th term of the progression 1, 4, 7, 10, .... is

    1. 58
    2. 52
    3. 50
    4. 60
    5. 70

    Concept: Progressions - AP

    Choice (1)The 20th term is 58. Correct answer Coming soon Easy

13. Q53. Evaluate   \lim_{x\rightarrow 2} \left\{ {x^2 + 2x - 1} \over \sqrt {x^2 + 2} \right\} \\)

    1. 21
    2. 14
    3. \7 \over {\sqrt 6} \\)
    4. \7 \over 3\\)
    5. \\sqrt 6 \over 7 \\)

    Concept: Functions, Limits

    Choice (3)alt="16/81"> Correct answer Coming soon Medium

14. Q54. The correlation between shoe size and intelligence is

    1. zero
    2. positive
    3. negative
    4. one
    5. none of the above

    Choice (1)The question setter could have thought there is no correlation and concluded it is zero correlation. Or in reality it is none of the above. Correct answer Coming soon Easy

15. Q55.The sum of the deviations of the observations 15, 20, 25 from their arithmetic mean is

    1. 0
    2. 5
    3. 10
    4. -5
    5. 20

    Concept: Statistics

    Choice (1)The sum of the deviation is 0. Correct answer Coming soon Easy

16. Q56. In a business venture profit and loss are expected to be Rs.50,000 and Rs.20,000 respectively. From past experience, the probability of earning profit is 0.75 and incurring loss is 0.25. What is the expected profit?

    1. Rs.50,000
    2. Rs.20,000
    3. Rs.32,500
    4. Rs.40,000
    5. Rs.30,000

    Concept: Number Properties

    Choice (3)The expected value of profit is Rs.32,500. Correct answer Coming soon Medium

17. Q57. The headlight of a motorcycle is a parabolic reflector of diameter 12 cm and depth 4 cm. What is the position of the bulb on the axis of the reflector for the effective functioning of the headlight?

    1. 3 cm
    2. 4 cm
    3. 2.25 cm
    4. 5 cm
    5. 1 cm

    Concept: Mensuration - Parabola

    Choice (3)The bulb has to placed 2.25 cm from the vertex of the mirror. Correct answer Coming soon Hard

18. Q58. What is the area of the region bounded by y = 2x + 4, y = 1, y = 3 and y-axis?

    1. 2 sq units
    2. 4 sq units
    3. 2.5 sq units
    4. 5 sq units
    5. 3 sq units

    Concept: Cogeo Mensuration

    Choice (1)The area of the region is 2 sq units. Correct answer Coming soon Hard

19. Q59. The total lifetime of 5 years old dog is a random variable whose cumulative distribution function is given by $$ F(x)= \left\{\eqalign{ 0, \mkern12mu for \mkern10mu x \le 5 \\ 1 - {25 \over x^2}, \mkern12mu for \mkern10mu x \gt 5}\right\} $$

    What is the probability that the dog will live anywhere between 12 to 15 years?

    1. 0.05
    2. 0.0625
    3. 0.7
    4. 0.01
    5. 0.02

    Concept: Probability

    Choice (2)The probability is 0.0625. Correct answer Coming soon Hard

20. Q60. The radius of a sphere was measured and found to be 21 cm with a permissible error in measurement of at the most 0.05 cm. What is the maximum error in using this value of the radius to compute the volume of the sphere?

    1. 100 cm³
    2. 277 cm³
    3. 300 cm³
    4. 714 cm³
    5. 350 cm³

    Concept: Mensuration

    Choice (2)The maximum error is 277 cm3 Correct answer Coming soon Hard