Question # 1

The sum of all positive integral multiple of 5 less than 100 is

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950

760

1230

875

The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is

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120

100

140

160

A person standing on the bank of a river finds that the angle of elevation of the top of a tower on the opposite bank is 45°. then which of the following statements is correct?

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Breadth of the river is twice the height of the tower

Breadth of the river an the height of the tower are the same

Breadth of the river is half of the height of the tower

None of these

The sum of the cubes of three consecutive natural number is divisible by

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9

6

5

10

p, q, r and s are integers. If the A.M. of the roots of x2- px + q2= 0 and G.M. of the roots of x2- rx + s2= 0 are equal, then

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q is an odd integer

r is an even integer

p is an even integer

s is an odd integer

System of linear equation is inconsistent if

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System has no solution

System has one solution

System has two solution

None of above

2π+θwill have terminal side in Quad

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I

II

III

IV

Which conjunction is not true ?

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ax2 +2hxy +by2 +2gx +2fy +c =0 may represent an ellipse if

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h2 -ab <0

h2 -ab≠ 0

h2 -ab =0

h2 -ab >0

The general equation of a circle is

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In a quadratic equation with leading co-efficient 1, a student reads the co-obtain the roots as - 15 and -4. The correct roots are

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6, 10

-6, -10

8, 8

-8, -8

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cos 2x + c

- cos 2x + c

tan 2x + c

cot 2x + c

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By expressing sin 125° in terms of trigonometrical ratios, answer will be

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sin 65° = 0.9128

sin 55° = 0.8192

sin 70° = 0.5384

sin 72° = 0.1982

The proposition S(n) for any n∈ N is only true if k∈ N and

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S(k +1) is true

S(1) is true and S(k+1) is true whenever S (k) is true

S(k+1) is true whenever S (k) is true

S(k) is true

If f(x)= x³ then f(-2) is

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-2

-4

-8

8

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ab=-1

ab = 1

ab = 2

None

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0

1

A Series which does not coverage to a Unique sum is called

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Harmonic Series

Oscillatroy Series

Arithmetic Series

None of these

InΔABC if y = 90° then the Pythagoras theorem is

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b2 + c2 =a2

a2 + b2 = c2

a2 +c2 = b2

None of these

If c is a constant number and if f is the function defined by the equation f(x) =c for all values of x, then f is differentiable at every x and f is defined by the equation f(x)

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f

1

C

0

Digit in the unit place of the number 183! + 3¹⁸³

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7

6

3

0

General solution of 1 + cos x = 0 is

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(7,9) +(3,-5) =

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(4,4)

(10,4)

(9,-5)

(7,3)

In (x + iy), y is called as

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Imaginary part

Complex number

Real part

None of above

The equation of a line parallel to the tangent to the circle x²+ y²= 16 at the point (2, 3) and passing thro' the origin is

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2x + 3y = 0

2x - 3y = 0

3x + 2y = 0

3x - 2y = 0

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The law of sines

The law of consines

The law of tangents

None of these

The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is

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36 square units

3 square units

6 square units

18 square units

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