TANCET 2013 Quant / Analytical Reasoning

Quantitative Reasoning or Analytical Reasoning as TANCET christened this section in 2013 had 20 questions. Many of these 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.

1. If a rubber ball consistently bounces back ⅔ of the height from which it is dropped, what fraction of its original height will the ball bounce after being dropped and bounced four times without being stopped?

   1. 
   2. 
   3. 
   4. 
   5. 

   Concept: Geometric Progression

   Choice (1) Correct answer Explanatory Answer Easy Video Explanation

2. A class had 9 students. In one test, the class average was 61. One student's paper was scored incorrectly, and the resulting score was raised 18 points. What is the corrected class average?

   1. 70
   2. 63
   3. 72
   4. 78
   5. 74

   Concept: Averages

   Choice (2)The corrected average is 63 Correct answer Explanatory Answer Medium Video Explanation

3. If ( 0.004 * 10^a )( 0.32 * 10^b ) = 128 * 10³, a + b = ?

   1. 3
   2. 5
   3. 6
   4. 8
   5. -2

   Concept: Number Properties - Indices

   Choice (4)a + b = 8 Correct answer Explanatory Answer Medium Video Explanation

4. A school sold drama tickets for 100 each for donating to an orphanage. One member sold 75% of his tickets and had 80 tickets left. How much money did the member collect?

   1. 6000
   2. 7500
   3. 15,000
   4. 24,000
   5. 32,000

   Concept: Percents

   Choice (4) 24,000 Correct answer Explanatory Answer Easy Video Explanation

5. There are 35 steps in a temple. By the time Chithra comes down two steps, Madhu goes up one step. If they start simultaneously and keep their speed uniform, then at which step from the bottom will they meet?

   1. 9th step
   2. 12th step
   3. 13th step
   4. 8th step
   5. None of the above

   Concept: Number Properties

   Choice (2)12th step from the bottom Correct answer Explanatory Answer Medium Video Explanation

6. In how many ways can the letters of the word BEAUTY be rearranged such that the vowels always appear together?

   1. 
   2. 4! * 3!
   3. 
   4. 
   5. 

   Concept: Permutation Combination

   Choice (2)4! * 3! ways Correct answer Explanatory Answer Hard Video Explanation

7. Find the number of triangles in the given figure

   1. 20
   2. 18
   3. 32
   4. 24
   5. 16

   Concept: Geometry

   Choice Correct answer Coming soon Medium

8. If the radius of a cylinder is increased by 8% keeping its height constant, then the volume of the cylinder is increased by ____

   1. 8%
   2. 64%
   3. 24.16%
   4. 16.64%
   5. 6.4%

   Concept: Mensuration - Solid Geometry

   Choice (4)The volume of the cylinder increases by 16.64% Correct answer Coming soon Medium

9. If the length of a rectangle is increased by 30% and the width of the rectangle is decreased by 30%, then the area of the rectangle ________

   1. Decreases by 30%
   2. Increases by 30%
   3. Remains unchanged
   4. Increases by 15%
   5. Decreased by 9%

   Concept: Mensuration - Solid Geometry

   Choice (5)The area will decrease by 9% Correct answer Coming soon Medium

10. DE is parallel to AC. AE = EB, DE = 8cm, and AE = 6cm. What is AC?

    1. 10
    2. 12
    3. 14
    4. 16
    5. 20

    Concept: Geometry - Similar Triangles

    Choice Correct answer Coming soon Easy

11. Which of the following is the lowest positive integer that is divisible by each of the integers from 3 through 6, inclusive?

    1. 30
    2. 40
    3. 60
    4. 120
    5. 240

    Concept: Number Properties - LCM

    Choice (3)The smallest positive integer that is divisible by each of the integers from 3 through 6 is 60. Correct answer Coming soon Easy

12. A team has wins, losses and draws in a ratio of 7 to 8 to 3. If they played a total of 108 games, how many games did they win?

    1. 6
    2. 13
    3. 14
    4. 22
    5. 42

    Concept: Simple Ratios

    Choice (5)he number of games won is 42. Correct answer Coming soon Easy

13. Which one of the following is true?

    2. 3⁴ < 4³
    5. None of the above

    Concept: Ratio & Proportion

    Choice Correct answer Coming soon Easy

14. An automobile tyre has two punctures. The first puncture by itself would make the tyre flat in 7 minutes. The second puncture by itself would make the tyre flat in 11 minutes. How long will it take for both punctures together to make the tyre flat? (Assume the air leaks out at a constant rate).

    1. 9 minute
    5. 5 minutes

    Concept: Pipes Cistern & Work Time

    Choice Correct answer Coming soon Medium

15. Which of the following fractions is the smallest?

    Concept: Number Properties - Comparison

    Choice Correct answer Coming soon Easy

16. If x, y, z are chosen from three numbers -5, ⅓, and 4, what is the largest possible value of the expression .....

    Concept: Number Properties

    Choice Correct answer Coming soon Medium

17. What is the perimeter of a regular pentagon whose sides are 6 inches long?

    1. 3 feet
    2. 2 feet and 4 inches
    3. 2 feet and 3 inches
    4. 2.5 feet
    5. 4 feet

    Concept: Mensuration - Perimeter

    Choice (4)The perimeter is 2.5 feet. Correct answer Coming soon Very Easy

18. Given that a and b are real numbers, let f(a, b) = ab and let g(a) = a² + 2, then f(3, g(3)) is _____

    1. 3a² + 2
    2. 3a² + 6
    3. 27
    4. 29
    5. 33

    Concept: Permutation Combination

    Choice (5) f(3, g(3)) = 33. Correct answer Coming soon Medium

19. If (x² - y²) = 21 and x + y = 3, then x - y = ?

    1. 5
    2. 6
    3. 7
    4. 8
    5. 9

    Concept: Algebraic Expressions

    Choice (3)The value of (x - y) is 7 Correct answer Coming soon Really Really Easy

20. A house cost Mr. Kathir   X in 1990. Three years later he sold the house for 30% more than he paid for it. He had to pay a tax of 45% of the gain. How much tax must Mr.Kathir pay?

    1. 0.585X
    2. 0.135X
    3. 0.27X
    4. 0.295X
    5. 0.5X

    Concept: Percentage

    Choice (2)Mr Kathir has to pay a tax of 0.135X Correct answer Coming soon Easy