TISL Placement Paper -: Logical Reasoning Questions And Answers

TISL Previous Years Solved Sample Placement Papers

1. 4 + 4 - 4 × 4 ÷ 4 = _________
   

   a) 2

   b) 0

   c) 4

   d) 8

   Answer: c) 4
2. The ages of Sohail, Afzal, and Bilal are 17, 16, and 12, respectively. If the age of Aslam is also included, the average of the ages increases by 5. What is the age of Aslam?
   

   a) 32

   b) 33

   c) 34

   d) 35

   Answer: d) 35
3. If 6 men can complete a work in 15 hours, how many hours will it take if 10 men working at the same speed complete the work?
   

   a) 7

   b) 8

   c) 9

   d) 10

   Answer: c) 9

4. Let O(0, 0, 0), P(3, 4, 5), Q(m, n, r), and R(1, 1, 1) be the vertices of a parallelogram taken in order. What is the value of m + n + r?

   A) 6

   B) 12

   C) 15 (Ans)

   D) More than 15

5. What is the solution of the differential equation 3e^x tan y dx + (1 + e^x) sec² y dy = 0?

   A) (1 + e^x) tan y = c

   B) (1 + e^x)³ tan y = c

   C) (1 + e^x)² tan y = c

   D) (1 + e^x) sec² y = c (Ans)

   Where c is a constant of integration

6. What is the locus of points, the difference of whose distance from two points being constant?

   A) Pair of straight lines

   B) An ellipse

   C) A hyperbola (Ans)

   D) A parabola

7. What is the differential equation for y² = 4a(x - a)?

   A) yy' - 2xyy' + y² = 0

   B) yy'(yy' + 2x) + y² = 0

   C) yy'(yy' - 2x) + y² = 0 (Ans)

   D) yy' - 2xyy' + y = 0

8. If (4, 0) and (-4, 0) are the foci of an ellipse and the semi-minor axis is 3, then the ellipse passes through which one of the following points?

   A) (2, 0)

   B) (0, 5)

   C) (0, 0)

   D) (5, 0) (Ans)

9. Under what condition do the planes bx - ay = n, cy - bz = l, az - cx = m intersect in a line?

   A) a + b + c = 0

   B) a = b = c

   C) al + bm + cn = 0 (Ans)

   D) l + m + n = 0

10. On the day the Barton triplets are born, Jenna weighs more than Jason. Jason weighs less than Jasmine. Of the three babies, Jasmine weighs the most. If the first two statements are true, the third statement is
    

    a. true.

    b. false.

    c. uncertain.

    Answer: a. true.
11. The temperature on Monday was lower than on Tuesday. The temperature on Wednesday was lower than on Tuesday. The temperature on Monday was higher than on Wednesday. If the first two statements are true, the third statement is
    

    a. true.

    b. false.

    c. uncertain.

    Answer: a. true.
12. Spot is bigger than King and smaller than Sugar. Ralph is smaller than Sugar and bigger than Spot. King is bigger than Ralph. If the first two statements are true, the third statement is
    

    a. true.

    b. false.

    c. uncertain.

    Answer: b. false.

13. If w is a complex cube root of unity and x = w² - w - 2, then what is the value of x² + 4x + 7?

    A) -2

    B) -1

    C) 0 (Ans)

    D) 1

14. If cos x ≠ -1, then what is sin x / (1 + cos x) equal to?

    A) cot x/2

    B) cot x/2

    C) tan x/2 (Ans)

    D) -tan x/2

15. 20/x + 16/x = 12, the value of x =?
    

    a) 33

    b) 3

    c) 6

    d) 13

    Answer: b) 3
16. What is the geometric mean of 2, 4, and 8?
    

    a) 4

    b) 8

    c) 7

    d) 2

    Answer: a) 4
17. What is 75% of 200?
    

    a) 140

    b) 150

    c) 250

    d) 50

    Answer: b) 150