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JEE Main || Algebra || Super Quiz 8

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Question 1

The number of 6-digit number of the form ababab (in base 10) each of which is a product of exactly 6 distinct primes is

Question 2

If the mean deviation about the median of the numbers a, 2a, ... , 50a is 50, then |a| equals

Question 3

Following are the marks obtained by students in an exams(*Consider sign for deviation also)
40, 42, 38, 53, 33, 55, 60, 49, 51 and 55.
The mean deviation from median for above data is-

Question 4

If A is skew symmetric matrix & C is column matrix then C′A C =

Question 5

If x, y and z are all distinct and
$Description: Description: E:\VITJEE\Vitjee-2012-Maths_files\image180.png$ , then the value of xyz is

Question 6

Suppose

is a natural number such that

.
Where

is the square root of -1. Then

Question 7

If ω (≠ 1) is a cube root of unity, and (1 + ω)⁷ = A + Bω. Then (A, B) equals:

Question 8

If p→(∼p∨∼q) is false, then the truth values of p and q are respectively :

Question 9

For real numbers x and y, we define xRy if x-y+

is an irrational number. The relation R is

Question 10

The total number of terms in the expansion of

after simplification is

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Feb 21JEE & BITSAT