Mathematics - Online Test
Q1.
The smallest positive integer ‘ n ‘ for which holds is :
Answer : Option B
Explaination / Solution:
When n = 1 ,we get ,which is not valid. When n takes values 2,3,4,5 the inequality is invalid . But when n = 6 we have ,which is valid.
Q2.
The equation (cos p – 1) + (cos p) x + sin p = 0, where x is a variable, has real roots. Then the interval of p may be any one of the following:
Answer : Option B
Explaination / Solution:
Q3. Find the vector equations of the line that passes through the points (3, – 2, – 5), (3, – 2, 6).
Answer : Option C
Explaination / Solution:
Here , and
Therefore , the vector equation is :
i.e..
Therefore , the vector equation is :
i.e..
Q4. The figures 4, 5, 6, 7, 8 are written in every possible order. The number of numbers greater than 56000 is
Answer : Option B
Explaination / Solution:
Total possibilities of 5 digit numbers which can be formed using the given digits are 5!= 120 ways.
But since the number should be greater than 56000 we cannot have the numbers starting with 4 or 54
The combinations in which the number 4 comes at the start is 4! = 24 ways.
The combinations in which the number 54 comes at the start is 2! = 6
Hence the numbers greater than 56,000 = 120 - ( 24+ 6) = 120 - 30 = 90 ways.
Q5. General solution of
Answer : Option C
Explaination / Solution:
Since
Q6.
The line is
Answer : Option B
Explaination / Solution:
No Explaination.
Q7. Ifthen (adj A)=
Answer : Option C
Explaination / Solution:
Q8. If ( x + iy ) ( 3 – 4i ) = (5 + 12i ) , then
Answer : Option B
Explaination / Solution:
Q9. is nearly equal to
Answer : Option A
Explaination / Solution:
Q10. Let A = { 1,2,3,4 } then total number of subsets of A are given by
Answer : Option A
Explaination / Solution:
Total no of subsets=2n=24=16
Here n is the Cardinal no of the Given Set
