Maths - Online Test

Q1. If  is a matrix satisfying the equation  AAT = 9I, where I is 3 × 3 identity matrix, then the ordered pair (a, b) is equal to
Answer : Option D
Explaination / Solution:


Q2. The vectors  are
Answer : Option D
Explaination / Solution:
No Explaination.


Q3. The number of students who take both the subjects Mathematics and Chemistry is 70. This represents 10% of the enrollment in Mathematics and 14% of the enrollment in Chemistry. The number of students take at least one of these two subjects, is
Answer : Option B
Explaination / Solution:


Q4.
Answer : Option B
Explaination / Solution:
No Explaination.


Q5. If log√x 0:25 = 4, then the value of x is
Answer : Option A
Explaination / Solution:


Q6. If f (x) = x tan−1x , then f '(1) is
Answer : Option B
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Q7. Let fk(x) =1/k [sinkx + coskx] where x R and k ≥ 1. Then f4(x) - f6(x) =
Answer : Option B
Explaination / Solution:


Q8.  is
Answer : Option B
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Q9. The number of five digit telephone numbers having at least one of their digits repeated is
Answer : Option D
Explaination / Solution:


Q10. A letter is taken at random from the letters of the word ‘ASSISTANT’ and another letter is taken at random from the letters of the word ‘STATISTICS’. The probability that the selected letters are the same is
Answer : Option D
Explaination / Solution: