MAHARASHTRA: 9TH STD. 10TH STD. 11TH STD. 12TH STD.

TAMIL NADU: 9TH STD. 10TH STD. 11TH STD 12TH STD.

JEE MAIN 2020 BEST TIPS FOR ATTEMPTING PAPER HOME 2019 BOARD PAPER SOLUTION TIPS TO STUDY SMART GRAMMAR & WRITING SKILLS CBSE Sample Papers 2020 ICSE BOARD ISC BOARD CBSE Class 12 all Subjects 2019-2020 CBSE SAMPLE PAPERS – 2019-2020 HOMI BHABHA JEE MAIN 2019 NEET - 2019 CBSE 10TH CBSE 12TH: MATHS NCERT SOLUTION PRIVACY DISCLAIMER
CHAPTER 2: NUMBERS AND SEQUENCES

(1) Find all positive integers, when divided by 3 leaves remainder 2. Solution

(2) A man has 532 flower pots. He wants to arrange them in rows such that each row contains 21 flower pots. Find the number of completed rows and how many flower pots are left over. Solution

(3) Prove that the product of two consecutive positive integers is divisible by 2. Solution

(4) When the positive integers a, b and c are divided by 13, the respective remainders are 9,7 and 10. Show that a+b+c is divisible by 13. Solution

(5) Prove that square of any integer leaves the remainder either 0 or 1 when divided by 4. Solution

(6) Use Euclid’s Division Algorithm to find the Highest Common Factor (HCF) of

(i) 340 and 412 Solution

(ii) 867 and 255 Solution

(iii) 10224 and 9648 Solution

(iv) 84, 90 and 120 Solution

(7) Find the largest number which divides 1230 and 1926 leaving remainder 12 in each case. Solution

(8) If d is the Highest Common Factor of 32 and 60, find x and y satisfying d = 32x + 60y . Solution

(9) A positive integer when divided by 88 gives the remainder 61. What will be the remainder when the same number is divided by 11? Solution

(10) Prove that two consecutive positive integers are always coprime. Solution

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