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# eLitmus Number System Questions Quiz 1(A)

Question 1 Time: 00:00:00
x lies from 121 < X >1331, x^2+1 when divided by 11 what will not be the remainder? 1

1

4

4

6

6

8

8

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A

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Question 2 Time: 00:00:00
How many can six digit numbers be formed using digit 1 to 6, without repetition such that the number is divisible by the digit in its unit place? 402

402

528

528

648

648

720

720

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Question 3 Time: 00:00:00
In a certain examination paper, there are n questions. For j=1,2,.......n there is 2^n-1 will answered j or more questions wrong. If the total number of wrong answers is 4095, then the value of n is ...... 12

12

11

11

10

10

9

9

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Question 4 Time: 00:00:00
N= 1!+2!+3!.....+10!. what is the last digit of N^N? 1

1

2

2

3

3

4

4

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Question 5 Time: 00:00:00
A set M contains element all even number between 1 and 23 and all odd numbers 24 and 100. if all the elements of the set multiplied than how many trailing 0, resulting number will contain? 10

10

12

12

9

9

11

11

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Question 6 Time: 00:00:00
if p is a number greater than 99,e is the probability of divisibility of any even whole number p, and O is the probability of any odd whole number divisible by p, w is the probability of any whole number divisible by p..... w=2e

w=2e

e=w/2

e=w/2

o=w/2

o=w/2

either (b) or (c)

either (b) or (c)

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Question 7 Time: 00:00:00
find the remainder of (9^1+9^2+.........+9^n)/6 where n is multiple of 11. zero

zero

3

3

5

5

2

2

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Question 8 Time: 00:00:00
If w,x,y, and z are distinct odd positive integers, then the maximum value of the expression (w^2+x^2)*(y^2+z^2) can be divisible by? 2

2

3

3

5

5

10

10

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Question 9 Time: 00:00:00
Given s(n) sum of first n natural no's then z(n)=2 s(n)+41 least value of n that gives z(n) is not prime? Z(n) is always prime

Z(n) is always prime

6

6

7

7

41

41

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n=41 z(41)=41*42+41 z(41)=1763 1763 is a prime no Therefore,z(n) is always a prime

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Question 10 Time: 00:00:00
476 ** 0 is divisible by both 3 and 11.The non zero digits in the hundred's and ten's places are respectively: 6 and 2

6 and 2

8 and 2

8 and 2

6 and 5

6 and 5

8 and 5

8 and 5

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["0","40","60","80","100"]
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