DSSSB PGT Maths Paper 2014

DSSSB PGT Maths Paper 2014

How many integers from 1 to 500 are divisible by at least one of 3,5 and 7 ?
(a) 271
(b) 266
(c) 337
(d) None of these

In a school threre are 20 teachers who teach mathematics or physics. Of these, 12 teach mathematics and 4 teach both physics & Mathematics. How many teach only Physics ?
(a) 12
(b) 8
(c) 16
(d) None of these

A coin is tossed 3 times. The probability of getting head and tail alternatively
(a) 1/4
(b) 1/8
(c) 1/2
(d) 3/8

A five digit number is formed by using the digits 1,2,3,4,5 in a random order without repetitions. Then the probability that the number is divisible by 4 is
(a) 3/5
(b) 18/5
(c) 1/5
(d) 6/5

The distance of the point (2,3,4) from the plane 3x – 6y + 2z + 11 =0 is
(a) 9
(b) 7
(c) 10
(d) None of these

Let average of three numbers be 16. If two of the numbers are 8 and 10, what is the remaining number ?
(a) -30
(b) 18
(c) 12
(d) 30

How many terms of the G.P 3, 3/2, 3/4, …… are needed to give the sum 3069/512 ?
(a) 8
(b) 10
(c) 9
(d) None of these

If three positive integers a,b,c are in G.P, then loga,logb,logc are in
(a) A.P
(b) G.P
(c) Both A.P and G.P
(d) None of these

Let R= {(x,y)!x+2y=8} be a relation on N, then domain of R is
(a) {1,2,3}
(b) {1,2,3,4,5,6}
(c) {1,3,5}
(d) {2,4,5}

If altitudes of a triangle are in A.P. then sides of the triangle are in
(a) A.P
(b) G.P
(c) H.P
(d) None of these

Every homogeneous equation f{x,y,z)=0 represents
(a) Sphere with centre at origin
(b) Cone with vertex at origin
(c) Cylinder
(d) None of these

If f(x) is an even function, then f'(x) is
(a) An even function
(b) An odd function
(c) May be even or odd
(d) Nothing can be said

A two-digit number is such that the product of its digits 12. When 36 is added to this number, the digits interchange their places. The number is
(a) 62
(b) 36
(c) 26
(d) 48

Two angles of an isosceles triangle are always
(a) Equal
(b) Equal to 45 degree
(c) Equal to 60 degree
(d) None of these

The coordinates of the point which divide the line segment, joining the points (8,9) and (-7,4) internally in the ratio 2:3 is
(a) (7,2)
(b) 2,7)
(c) (-7,2)
(d) (2,-7)