Here I am giving you question paper for ISI admission test of Indian Statistical Institute in a PDF file attached with it so you can get it easily.

The set of all real numbers x satisfying the inequality x3(x+1)(x−2) ≥ 0 is
(A) the interval [2,∞) (B) the interval [0,∞)
(C) the interval [−1,∞) (D) none of the above

9 Let z be a non-zero complex number such that z
1+z is purely imagi-
nary. Then
(A) z is neither real nor purely imaginary (B) z is real
(C) z is purely imaginary (D) none of the above

10 Let A be the fixed point (0, 4) and B be a moving point (2t, 0). Let
M be the mid-point of AB and let the perpendicular bisector of AB
meet the y-axis at R. The locus of the mid-point P of MR is
(A) y + x2 = 2 (B) x2 + (y − 2)2 = 1/4
(C) (y − 2)2 − x2 = 1/4 (D) none of the above

2 Two poles, AB of length two metres and CD of length twenty me-
tres are erected vertically with bases at B and D. The two poles
are at a distance not less than twenty metres. It is observed that
tan\ACB = 2/77. The distance between the two poles is
(A) 72m (B) 68m (C) 24m (D) 24.27m

13 If A,B,C are the angles of a triangle and sin2 A + sin2 B = sin2 C,
then C is equal to
(A) 30◦ (B) 90◦ (C) 45◦ (D) none of the above

18 A truck is to be driven 300 kilometres (kms.) on a highway at a con-
stant speed of x kms. per hour. Speed rules of the highway require
that 30 ≤ x ≤ 60. The fuel costs ten rupees per litre and is consumed
at the rate 2 + (x2/600) litres per hour. The wages of the driver are
200 rupees per hour. The most economical speed (in kms. per hour)
to drive the truck is
(A) 30 (B) 60 (C) 30√3.3 (D) 20√33
(B)

Attached Files

ISI B.Stat Entrance Question Papers.pdf (463.1 KB, 171 views)