# 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

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 3. Q43. The value of 6ab2c3 * 4b-2c-3d is 1. 6a 2. 4b 3. 24ad 4. 4d 5. 0 Concept: Indices 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 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 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 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 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 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

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

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

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

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 14. Q54. The correlation between shoe size and intelligence is 1. zero 2. positive 3. negative 4. one 5. none of the above 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 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 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 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 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

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

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