- Placement Paper

Paper Content :

1. The base of a triangle is 60 cms, and one of the base angles is 60°. What is length of the shortest side of the triangle?

I. The sum of lengths of other two sides is 80 cms.

II. The other base angle is 45°.



2. A, B, C, D, E and F are six integers such that E < F, B > A, A < D < B. C is the greatest integer. Is A the smallest integer?

I. E + B < A + D

II. D < F



3. Rajiv is a student in a business school. After every test he calculates his cumulative average. QT and OB were his last two tests. 83 marks in QT increased his average by 2. 75 marks in OB further increased his average by 1. Reasoning is the next test, if he gets 51 in Reasoning, his average will be _____?

(A) 63

(B) 62

(C) 61

(D) 60

(E) 59



4. ABCD is a quadrilateral. The diagonals of ABCD intersect at the point P. The area of the triangles APD and BPC are 27 and 12 respectively. If the areas of the triangles APB and CPD are equal then the area of triangle APB is

(A) 21

(B) 18

(C) 16

(D) 15

(E) 12



5. If F(x, n) be the number of ways of distributing “x” toys to “n” children so that each child receives at the most 2 toys then F(4, 3) = _______?

(A) 2

(B) 3

(C) 4

(D) 5

(E) 6



6. In a cricket match, Team A scored 232 runs without losing a wicket. The score consisted of byes, wides and runs scored by two opening batsmen: Ram and Shyam. The runs scored by the two batsmen are 26 times wides. There are 8 more byes than wides. If the ratio of the runs scored by Ram and Shyam is 6:7, then the runs scored by Ram is

(A) 88

(B) 96

(C) 102

(D) 112

(E) None of the above



7. Let X = {a, b, c} and Y = {l, m}. Consider the following four subsets of X × Y.

F1 = {(a, l), (a, m), (b, l), (c, m)}

F2 = {(a, l), (b, l), (c, l)}

F3 = {(a, l), (b, m), (c, m)}

F4 = {(a, l), (b, m)}



8.Which one, amongst the choices given below, is a representation of functions from X to Y?

(A) F1, F2 and F3

(B) F2, F3 and F4

(C) F2 and F3

(D) F3 and F4

(E) None of the above



Questions 9 - 11:

A, B, C, D, E and F are six positive integers such that

B + C + D + E = 4A

C + F = 3A

C + D + E = 2F

F = 2D

E + F = 2C + 1

If A is a prime number between 12 and 20, then



9. The value of F is

(A) 14

(B) 16

(C) 20

(D) 24

(E) 28



10. Which of the following must be true?

(A) D is the lowest integer and D = 14

(B) C is the greatest integer and C = 23

(C) B is the lowest integer and B = 12

(D) F is the greatest integer and F = 24

(E) A is the lowest integer and A = 13



11.For each

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