Mathematics - Online Test
Q1.
If three successive terms in the expansion of have their coefficients in the ratio 6 : 33 : 110, then n is equal to
Answer : Option D
Explaination / Solution:
Q2. If A = { 1,2,3,4 } , B = { 4,5,6,7 } ,A∩B=
Answer : Option D
Explaination / Solution:
Q3.
The function f (x) = is strict decreasing in the interval
Answer : Option D
Explaination / Solution:
f ‘ (x )=2x – 2 = 2 ( x - 1) <0 if x < 1 i.e. x x∈(−∞,1). Hence f is strict decreasing in left decreasing in(−∞,1)
Q4. The area of the region bounded by the curves y = and y = 3 - is
Answer : Option C
Explaination / Solution:
Q5. What are the integer values of x which satisfy the inequalities x>−2andx<2 ?
Answer : Option C
Explaination / Solution:
Q6. is equal to
Answer : Option C
Explaination / Solution:
Q7. Minimise Z = – 3x + 4 y subject to x + 2y ≤ 8, 3x + 2y ≤ 12, x ≥ 0, y ≥ 0.
Answer : Option D
Explaination / Solution:
Objective function is Z = - 3x + 4 y ……………………(1).
The given constraints are : x + 2y ≤ 8, 3x + 2y ≤ 12, x ≥ 0, y ≥ 0.
The corner points obtained by constructing the line x+2y=8 and 3x +2y = 12 are (0,0),(0,2),(3,0) and (20/19,45/19)
Corner points | Z = 5x + 3 y |
O(0 , 0 ) | 0 |
B ( 2 , 0 ) | 10 |
C( 0 , 3 ) | 9 |
D ( 20/19 , 45/19 ) | 235/19 ……………….(Max.) |
Here , Z = -12 is minimum at C ( 4 , 0 ) .
Q8.
The number of terms common to the two A.P.s 2 , 5 , 8 , 11 … , 98 and 3 , 8, 13 , 18, 23 , … , 198
Answer : Option C
Explaination / Solution:
Q9. The Q.D. of the daily wages (in Rs) of 7 persons given below: 12,7,15,10,17,19,25 is
Answer : Option A
Explaination / Solution:
the given data in ascending order is
Q10. The state transition matrix for the system
is
is
Answer : Option C
Explaination / Solution:
