CAT QUANT NUMBER SYSTEM 10

Question 1:

Positive numbers 1 to 55, inclusive are placed in 5 groups of 11 numbers each. What is the maximum possible average of the medians of the 5 groups?

34

28

35

38

Question 2:

[x] is the greatest integer less than or equal to x. Find the number of positive integers n such that $\left[\frac{n}{11}\right]$ = $\left[\frac{n}{13}\right]$.

31

25

35

40

Question 3:

A page is torn from a novel. The sum of the remaining page numbers is 10000. What is the sum of the two page-numbers on the torn page of this novel?

77 and 78

33 and 34

8 and 9

None of these

Question 4:

$N^{2}+5 n+6$ is a multiple of $6 . n$ is natural number less than 100 . How many values can $\mathrm{n}$ take?

33

65

66

67

Question 5:

What is the unit digit of $[1!+3!+5!+…+99!]^[2!+4!+6!+…..+100!]$

3

4

6

9

Question 6:

What is the ten’s digit of [1! + 2! + 3! +……. +100!]?

0

1

2

3

Question 7:

What are the last two digits of the number $7^{45}$ ?

07

23

49

43

Question 8:

How many numbers with distinct digits are possible product of whose digits is 28?

6

4

8

12

Question 9:

A 4-digit number of the form aabb is a perfect square. What is the value of a - b?

3

2

4

1

Question 10:

What is the right most non zero digit of $30^{100}$?

0

1

2

3