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1
Two numbers difference 1365, quotient 6, remainder 15. Find smaller number.
A
240
B
250
C
260
D
270
2
4.032 / 0.04 gives:
A
1.008
B
10.08
C
100.8
D
None
3
Suppose A, B, and C are subsets of a universal set X. Which one of the following set identities is NOT universally valid?
A
n(AUB) = n(A-B)-n(A)+n(AnB)
B
n(A-B) = n(A)-n(AnB)
C
An(BUC)=(ANB)U(ANc)
D
AX(BnC)=(AXB)n(AXC)
4
Out of 500 residents in a township, 320 subscribe to Newspaper A, 180 subscribe to Newspaper B, 150 subscribe to both A and B. Find how many residents subscribe only to Newspaper B.
A
30
B
130
C
150
D
180
5
The points A (1, 2), В (3, 5), C (k, 6) form a triangle of area 5 square units. The possible values of k is.
A
k=2 or k=7
B
k= 2/5 or k =-½
C
k= 1/3 or k =7
D
k=2/5 or k =7
6
A company produced a product using 5 units of labour and 3 units of capital, and the total cost was₹91. By using 6 units of labour and 2 units ofcapital, the cost was ₹ 88. Using the determinant method, the cost per unit of labour and capital (in - approximately) will be
A
5,7
B
10, 13
C
9, 15
D
13, 17
7
The Quadrilateral PQRS has vertices at P = (1, 2), Q = (4 , -1), R = (7, 2), and S=(4, 5). It will be a
A
Parallelogram
B
Rectangle
C
Rhombus
D
Square
8
The equation of the circle is x² + y2 - 6x + 8y+9=0. The equation ofthe tangent to the circle at the point (7, -4) is
A
x=7
B
y=-4
C
x+y = 3
D
x-y = 2
9
Given f(x) =In f(x), which ofthe following statements about its concavity is correct?
A
The graph off(x) is concave upward for all x> 0
B
The graph off(x) has a point of inflection at x =1
C
The graph of f(x) is concave downward for all x>0
D
The function has no interval of concavity
10
The derivative of y = cot(x) - cosec(x) is:
A
- cosec²(x) + cosec(x)cot(x)
B
- cot²(x) + cosec²(x)
C
- cosec(x)cot(x) - cosec²(x)
D
cosec²(x) + cosec(x)cot(x)