Symbiosis International Education Centre 2007 M.B.A SNAP TEST - Question Paper

23. When the curves y = log10 x and y = x-1 are drawn in the x-y plane, how many times do they intersect for values x 1?
1. Never 2. Once 3. Twice 4. More than twice.

24. Let p and q be the roots of the quadratic formula x2 – ( - 2) x - - one = 0. What is the minimum possible value of p2 + q2?
1. 0 2. 3 3. 4 4. 5

25. The 288th term of the series a, b, b, c, c, c, d, d, d, d, e, e, e, e, e, f, f, f, f, f, f…. is
1. u 2. v 3. w 4. x

26. There are 2 concentric circles such that the area of the outer circle is 4 times the area of the inner circle. Let A, B and C be 3 distinct points on the perimeter of the outer circle such that AB and AC are tangents to the inner circle. If the area of the outer circle is 12 square centimeters then the area (in square centimeters) of the triangle ABC would be
1. 2. 3. 4.

27. Let a, b, c, d be 4 integers such that a + b + c + d = 4m + one where m is a positive integer. provided m, which 1 of the subsequent is necessarily true?
1. The minimum possible value of a2 + b2 + c2 + d2 is 4m2 – 2m + 1
2. The minimum possible value of a2 + b2 + c2 + d2 is 4m2 + 2m + 1
3. The maximum possible value of a2 + b2 + c2 + d2 is 4m2 + 2m + 1
4. The maximum possible value of a2 + b2 + c2 + d2 is 4m2 + 2m + 1

28. How many 3 digit positive integers, with digits x, y and z in the hundred’s, ten’s and unit’s place respectively, exist such that x < y, z < y and x 0?
1. 245 2. 285 3. 240 4. 320

29. In the figure provided below, AB is the chord of a circle with center O. AB is extended to C such that BC = OB. The straight line CO is produced to meet the circle at D. If ACD = y0 and AOD = x0such that x = ky, then the value of k is





1. 3 2. 2 3. 1 4. None of the above


30. If log32, log3(2x – 5), log3(2x – 7/2) are in arithmetic progression, then the value of x is equal to
1. 5 2. 4 3. 2 4. 3

31. In the diagram provided below, ABD = CDB = PQD = 90o. If AB: CD = 3: 1, the ratio of CD: PQ is











1. 1: 0.69 2. 1: 0.75 3. 1: 0.72 4. None of the above.

32. In a triangle ABC, AB = 6, BC = eight and AC = 10. A perpendicular dropped from B, meets the side AC at D. A circle of radius BD (with center B) is drawn. If the circle cuts AB and BC at P and Q respectively, then AP: QC is equal to

Earning:   Approval pending.