1.
If an object travels at five feet per second, how many
feet does it travel in one hour? A. 30 B.
300 C. 720 D. 1800 E. 18000
2.
If a,b,c are unit vectors such that a+b+c=0, then, a.b+b.c+c.a =?, A. 0 B. -1/2 C. -3/2
D. 5/2
3.
What is the average (arithmetic mean) of all the
multiples of ten from 10 to 190 inclusive? A. 90 B. 95 C. 100 D. 105 E. 110
4.
A spherical iron ball 10cm in radius is coated with a
layer of ice of uniform thickness that melts at a rate of 50 cm3/min.
When the thickness of ice is 5 cm, then the rate at which the thickness of ice
decreases is A. 5 /6π cm/min B. 1 /54π cm/min C. 1/18π
cm/min D. 1/36π cm/min
5.
A cubical block of metal weighs 6 pounds. How much will
another cube of the same metal weigh if its sides are twice as long? A. 48 B. 32 C. 24 D. 18 E. 12
6.
A straight fence is to be constructed from posts 6 inches
wide and separated by lengths of chain 5 feet long. If a certain fence begins
and ends with a post, which of the following could be the length of the fence
in feet? (12 inches = 1 foot). A.
17 B. 28 C. 35 D. 39 E. 50
7.
In a class of 78 students 41 are taking French, 22 are
taking German. Of the students taking French or German, 9 are taking both
courses. How many students are not enrolled in either course? A. 6 B. 15 C. 24 D. 33 E. 54
8.
( √2 - √3 )² = A. 5 - 2√6 B. 5 - √6 C. 1 - 2√6 D. 1 - √2 E. 1
9.
230 +
230 + 230 + 230 = A. 8120 B. 830 C. 232 D. 230 E. 226
10.
The value of cos2A/2 + cos2B/2 +
cos2C/2 is A. 1 + r/R B. 2 + r/2R C. 2 + 2r/R D. 2 + r/R
11.
The area bounded by the curve y = x3, the
x-axis and the ordinates x = -2 and x = 1 is A. -9 B. -15/4 C. 15/4 D. 17/4
12.
The differentia coefficient of tan-1√x with
respect to √x is A. 1/√1+x B. 1/2x√1+x C. 1/2√(1+x) D.1/1+x
13.
A certain animal in the zoo has consumed 39 pounds of
food in six days. If it continues to eat at the same rate, in how many more
days will its total consumption be 91 pounds? A. 12 B. 11 C. 10 D. 9 E.
8
14.
The
multiplicative inverse of complex number (3,1) is A. (-3,-1) B. (1/3,1) C. (3/10) D. (3/10, -1/10)
15.
If the radius of the circle with centre O is 7 and the
measure of angle AOB is 100, what is the best approximation to the length of
arc AB ? A. 9 B. 10 C. 11 D. 12 E. 13
16.
The line lx + my + n = 0 is tangent to the circle x2 + y2= a2 if
A. x2(l2 + m2) = a2 B. a2(l2 + m2) =n2 C. n(l + m) = a D. a(l + m) = n
17.
The locus of
the mid-point of a focal chord of a parabola is A. circle B. parabola C.
ellipse D. Hyperbola
18.
The angle between the planes 2x – y + z = 6 and x + y +
2z = 7 is A. π B. 2π/3 C. π/2 D.
π/3
19.
Distance of
the point (2, 3, 4) from the plane 3x – 6y + 2z + 11 = 0 is A. 0 B. 1 C. 2 D. 3
20.
The function
f:R→R defined by f(x)=(x-1)(x-2)(x-3) is A. one-one but not onto B. onto but
not one-one C. both one-one and onto D. neither one-one nor onto
21.
If a,b,c are unit
vectors such that a+b+c=0, thena.b+b.c+c.a = ? A. 0 B. -1/2 C. -3/2 D. 5/2
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