STANDARD 7TH MATH CH NO 2 MULTIPLICATION AND DIVISION OF INTEGERS SSC BOARD 2021 APOLOGIZE FOR 4 SIL

If the positive integer N leaves a remainder of 3 when divided by 7 , which of the folllowing statements would be ture ? I. 4N + 2 is divisible by 14 II. N^(2) - 2 is divisible by 7 III. (N + 3) ( N + 4) is divisible by 7.

Alkyne, reacted with hot acidic KMnO_4 gives HCOOH and CH_3 CH_2 COOH . The alkyne C_7H_(12) is :

A underset((II) H_2 O_2, OH^(-))overset((I) BH_3 (TH F))larr CH_3 C -= CH underset(H_2 SO_4)overset(HgSO_4)to B Identify A and B.

Write all the integers between the given pairs (1) (write them in the increasing order.) (a) 0 and -7 (b) -4 and 4 (c) -8 and -15 (d) -30 and -23 (2) WRITE 4 integers greater than -20 and 4 integers less than -10

Calculate the standard enthalpy change for the reaction CH_4 (g) + 2O_2(g) to CO_2(g) + 2H_2O(l) , given that the standard heatds of formation of CH_4(g, CO_2(g) and H_2O (l) are -74.91 mol^(-1), -394.12 kJ mol^(-1) and -286.31 kJ mol^(-1) respectivley.

If n is a positive integer then 2^(4n) - 15n - 1 is divisible by

The natural numbers ware not sufficient to deal with various equations that mathematicians encountered so some new sets of numbers were defined Ehole numbers (W) = {0,1,2,3,4,……….} Integers (Z or I) = (……, -3,-2,-1,1,0,2,3,4,……} Even integers :- Intigers divisible by 2, they are expressed as 2n n in Z. odd Integers :- Integers not divisible by 2, they are expressed as 2n+1or 2n-1,ninZ. Difference of squarees of two odd integeers is always divisible by

The natural numbers ware not sufficient to deal with various equations that mathematicians encountered so some new sets of numbers were defined Ehole numbers (W) = {0,1,2,3,4,……….} Integers (Z or I) = (……, -3,-2,-1,1,0,2,3,4,……} Even integers :- Intigers divisible by 2, they are expressed as 2n n in Z. odd Integers :- Integers not divisible by 2, they are expressed as 2n+1or 2n-1,ninZ. If m^(2)-n^(2)=7, where m, n in Z, then number of ordered pairs (m,n) is

Ten coins each of mass 10 gm are placed one above the other. The reaction force exerted by 7th coin from the bottom on the 8th coin is ( g= 10 ms^(-2) ) (a) 0.3 N (b) 0.2 N (c) 0.4 N (d) 0.7 N

The sum of the series 1 + 2 xx 3 + 3 xx 5 + 4 xx 7+ ...upto 11th term is