CBSE 11TH MATHEMATICS - Online Test
Q1. Which of the following, in case of a discrete data, is not equal to the median?
Answer : Option C
Explaination / Solution:
As lower quartile is the whereas median is or the average of middle most terms
Q2. The number of points on X axis which are at a distance of c units ( c < 3 ) from ( 2 , 3 ) is
Answer : Option B
Explaination / Solution:
Let (x,0) be the point.
Then (by distance formula,
(x-2)2 +32 = c2
x2 -4x +4 + 9 - c2 = 0
x2 - 4x +13 - c2 = 0
x will be real if the b2 - 4ac 0
i.e; 16 - 4(13 - c2) 0
i.e; c2 - 9 0
i.e; |c| 3
Hence there is no point.
Q3. Let p and q be two propositions. Then the implication p↔∼q is true ,when
Answer : Option C
Explaination / Solution:
| p | q | ||
| T | T | F | F |
| T | F | T | T |
| F | T | F | T |
| F | F | T | F |
Q4. For any three propositions p , q , and r , the proposition (p∧q)∧(q∧r) is true , when
Answer : Option C
Explaination / Solution:
hence p=T , q=T, r=T
Q5. A and B are two distinct points, Locus of a point P satisfying |PA| + | PB | = 2k, a constant is
Answer : Option A
Explaination / Solution:
Since the value of k is not specified, we cannot get a specific equation.
Q6.
In a , a = 4, b = 3 and A = ; then c is a root of the equation
Answer : Option C
Explaination / Solution:
Q7. For is divisible by
Answer : Option A
Explaination / Solution:
When n = 1 we get 64. When n = 2 we get 704 which is divisible by 64......... By the principle of mathematical induction it is divisible by 64.
Q8. The letters of the word ‘ ORIENTAL ‘ are arranged in all possible ways . The chance that the consonants and vowels occur alternately is
Answer : Option C
Explaination / Solution:
No Explaination.
Q9. There is one and only one sphere through
Answer : Option B
Explaination / Solution:
Yes , it is true because if we assume 2 sphere or more than that they wil coincide
Q10. 20 students can compete for a race. The number of ways in which they can win the first three places is (given that no two students finish in the same place)
Answer : Option D
Explaination / Solution:
for first place we have 20 students, for second we have 19 and for the third we have 18
20P3=20*19*18
