a +
a − ɑ
s’^{ab}
1
If l(x) is the least integer not less than x and g(x) is the greatest integer not greater than x, then
9
13
1
None of these
If 0 < a < 1, then the solution set of the inequation
(1, 1/a)
(0, a)
(1, 1/a) ∪ (0, a)
None of these
If the sum of the greatest integer less than or equal to x and the least integer greater than or equal to x is 5, then the solution set for x is
(2, 3)
(0, 5)
[5, 6)
None of these
A stick of length 20 units is to be divided into n parts so that the product of the lengths of the parts is greater than unity. The maximum possible value of n is
18
19
20
21
The number of ordered 4-tuples (x, y, z,w) where x, y, z,w ∈ [0,10] which satisfy the inequality
2^{sin2 x} × 3>^{cos2 x} × 4^{sin2 z }+ × 5>^{cos2 w} N ≥ 120, is
81
144
0
Infinite
Only positive values of s¥
Only negative values of x
All real numbers except zero
Only for x > 1
Let x =
s¥^{2 }≤ 2
x^{2} < 2
x^{2} > 2
x^{2} ≥ 2
The equation
No solution
One solution
Two solutions
More than two solutions
The number of roots of the equation sin πx = |log|x||, is
2
4
5
6
The number of real solutions of 1 + |s’^{x }− 1| = s’^{x}(s’^{x} − 2), is
1
2
3
4
The number of positive integers satisfying the inequality n + 1c_{n-2} − n + 1c_{n-1} ≤ 50 is
9
8
7
6
The solution of the inequation log_{1/3}(x^{2} + x + 1) + 1 < 0 is
(−∞,−2) ∪ (1,∞)
[−1, 2]
(−2, 1)
(−∞,∞)
If a, ɑ, s are sides of triangle, then
[1, 2]
[2, 3]
[3, 4]
[4, 5]
If 0 < x <
√3
1
Let y =
−1 ≤ s¥ < 2 or s¥ ≥ 3
−1 ≤ x < 3 or x > 2
1 ≤ x < 2 or x ≥ 3
None of these
If x, y, z are three real numbers such that x + y + z = 4 and x^{2 }+ y^{2} + z^{2} = 6, then the exhaustive set of values of x, is
[2/3, 2]
[0, 2/3]
[0, 2]
[−1/3, 2/3]
Non- negative real numbers such that a_{1} + a_{2}+. . .+a_{n }
Solution set of inequality log_{e }
(2,∞)
(−∞, 2)
(−∞,∞)
(3,∞)
(x − 1)(x^{2 }− 5x + 7) < (x − 1),then x belongs to
(1,2) ∪ (3,∞)
(2, 3)
(−∞, 1) ∪ (2,3)
None of these
The value of^{ n}P_{r }is equal to
^{n-1}P_{r} + r.^{ n-1}P_{r-1}
n.^{n-1 }P_{r} + ^{n-1}P_{r-1}
n(^{ n-1}P_{r}+ ^{n-1}P_{r-1})
^{n-1}P_{r-1} + ^{n-1}P_{r}
^{n+m+1}C_{n+1}
^{n+m+2}C_{n}
^{n+m+3}C_{n-1}
None of these
The number of straight lines can be formed out of 10 points of which 7 are collinear
26
21
25
None of these
A committee of 5 is to be formed from 9 ladies and 8 men. If the committee commands a lady majority, then the number of ways this can be done is
2352
1008
3360
3486
Consider the following statements : 1.These are 12 points in a plane of which only 5 are collinear, then the number of straight lines obtained 3.Three letters can be posted in five letter boxes in 3^{5}ways. Which of the statements given above is/are correct?
Only (1)
Only (2)
Only(3)
None of these
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