Jharkhand Polytechnic Entrance Exam 2018 Paper – Mathematics

Jharkhand Polytechnic Entrance Exam 2018 Paper – Mathematics

Mr. A and Ms. B are friends. The probability that they both will have different birthdays is (ignoring a leap year)
(a) 1/365
(b) 2/365
(c) 364/365
(d) 1

Empirical relationship between the three measures of central tendencies is
(a) 2 mean + mode = 3 median
(b) median + mode = 2 mean
(c) mean + 2 mode = 3 median
(d) mode + mean = 2 median

A cone of height 24 cm and radius of base 6 cm is made up of modeling clay. A child reshapes it in the form of a sphere. Then the radius of the sphere is
(a) 6 cm
(b) 8 cm
(c) 9 cm
(d) 3 cm

It two cubes of volume 64 cubic cm are joined end to end, then the surface area of the resulting cuboid is
(a) 128 sq. cm
(b) 160 sq. cm
(c) 162 sq. cm
(d) 64 sq. cm

The area of a quadrant of a circle whose circumference is 22 cm, is (in sq. cm)
(a) 77/8
(b) 70
(c) 100
(d) 11

(Sec A + tan A) (1-Sin A)= ?
(a) Sec A
(b) Sin A
(c) Cosec A
(d) Cos A

If Sin 2A = 2 Sin A , then A= ?
(a) 0 degree
(b) 30 degree
(c) 45 degree
(d) 60 degree

The value of k if the points A (2,3), B(4,k), C(6,-3) are collinear, is
(a) 10
(b) -1
(c) 1
(d) 0

If the points A (6,1), B(8,2), C(9,4), D(p,3) are the vertices of a parallelogram, taken in order, then the value of p is
(a) 7
(b) -7
(c) 6
(d) 10

The ratio in which the line joining the points (5,6) and (-1,-4) is divided by y axis is
(a) 5:1
(b) 3:2
(c) 5:2
(d) 1:5

If the first and the last term in an AP are 17 and 350 respectively and the common difference is 9 then the number of terms is
(a) 38
(b) 35
(c) 30
(d) 40

The sum of first 15 multiples of 8 is
(a) 240
(b) 960
(c) 800
(d) 690

A sum of Rs. 700 is to be used to give seven cash prizes to stduents of a school for their academic excellence. If each prize is Rs. 20 less than its preceding prize then first prize amount is
(a) Rs. 140
(b) Rs. 150
(c) Rs. 160
(d) Rs. 120

The number of 3 digit numbers divisible by 7 is
(a) 126
(b) 128
(c) 130
(d) 127

The 20th term from the last of the sequence 3, 8, 13, …….,253 is
(a) 140
(b) 158
(c) 98
(d) 90