# TCS Number System and HCF and LCM Quiz-1

Question 1

Time: 00:00:00
Find the greatest number that will divide 148 246 and 623 leaving remainders 4 6 and 11 respectively?

20

20

12

12

6

6

48

48

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Trick: 148-4=144 246-6=240 623-11=612 taking hcf of 144,240,612. hcf is the answer. Note:this trick is helpful if there is a fill up question.

12

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Question 2

Time: 00:00:00
For any two numbers we define an operation \$ yielding another number, X \$ Y such that following condition holds:
• X \$ X = 0 for all X
• X \$ (Y \$ Z) = X \$ Y + Z
Find the Value of 2012 \$ 0 + 2012 \$ 1912?

2112

2112

100

100

5936

5936

Can not be determined

Can not be determined

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Question 3

Time: 00:00:00
If A=x3y2 and B=xy3 then find the HCF of A, B?

x4y4

x4y4

xy2

xy2

xy

xy

x3

x3

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Question 4

Time: 00:00:00
In how many way possible ways can you write 1800 as a product of 3 positive integers X, Y , Z?

350

350

360

360

380

380

450

450

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Formula (n+r-1) C (r-1) where n=power r=no of integers 1800=3^2*5^2*2^3 hence (2+3-1) C (3-1)=6 (2+3-1) C (3-1)=6 (3+3-1) C (3-1)=10 => 6*6*10=360

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Question 5

Time: 00:00:00
A number when successively divided by 5, 3, 2 gives remainder 0, 2, 1 respectively in that order. What will be the remainder when the same number is divided successively by 2, 3, 5 in that order?

4, 3, 2

4, 3, 2

1, 0, 4

1, 0, 4

2, 1, 3

2, 1, 3

4, 1, 2

4, 1, 2

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Question 6

Time: 00:00:00
Which of the following numbers must be added to 5678 to give a reminder 35 when divided by 460?

980

980

797

797

955

955

618

618

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Question 7

Time: 00:00:00
What will be the reminder when (1234567890123456789)24 is divided by 6561?

7

7

5

5

Zero

Zero

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Question 8

Time: 00:00:00
The remainder when m + n is divided by 12 is 8, and the remainder when m - n is divided by 12 is 6. If m > n, then what is the remainder when mn divided by 6?

3

3

4

4

2

2

1

1

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Question 9

Time: 00:00:00
A number 2088 by what if we divide the number it will become a perfect square?

58

58

20

20

28

28

29

29

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["0","40","60","80","100"]
["Need more practice! \r\n","Keep trying! \r\n","Not bad! \r\n","Good work! \r\n","Perfect! \r\n"]

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