Answer: B) Any one pair of A and B, B and C or C and A is sufficient Explanation: From the given data, Let the two gits of a number be x & y A) x + y = 15   B) x2 - y2 = 45 (x+y) (x - y) = 45   C) x - y = 3 From any 2 of the given 3 statements, we can find that 2 digit number as  2x = 18 => x = 9 => y = 6 Hence, 2 digit number is 96.   Any one pair of A and B, B and C or C and A is sufficient to find.

Answer: C) Rs. 5917 Explanation: Let the Original capital amount be Rs. P Given after 2 years the amount is Rs. 10000 Rate of interest = 30% According to the question, P x 130100 x 130100 = 10000=> P = 1000000169 = 5917 Therefore, the capital amount P = Rs. 5917

Answer: A) A & B Explanation: A) Cooking of Food  ------ Chemical Change B) Digestion of Food ----- Chemical Change C) Freezing of water ----- Physical Change D) Water is heated up ---- Physical Change because here the chemical composition of the substance changes in A & B only.   Since we know that, If the chemical composition is changing then it is a chemical change and if the chemical composition is remaining the same, then it is a physical change.

Answer: D) Both a and b sufficient Explanation: Let the sum be Rs. x a. gives, S.I = Rs. 9000 and time = 9 years. b. gives, Sum + S.I for 6 years = 2 x Sum --> Sum = S.I for 6 years. Now, S.I for 9 years = Rs. 9000 S.I for 1 year = Rs. 9000/9 = Rs. 1000. S.I for 6 years = Rs. (1000 x 6)= Rs. 6000. --> x = Rs. 6000 Thus, both a and b are necessary to answer the question.

Answer: A) Uracil Explanation: A nitrogenous base, or nitrogen-containing base, is an organic molecule with a nitrogen atom that has the chemical properties of a base. The main biological function of a nitrogenous base is to bond nucleic acids together. A nitrogenous base owes its basic properties to the lone pair of electrons of a nitrogen atom.   In DNA, four bases have been found. They are 1. Adenine (A), 2. Guanine (G), 3. Cytosine (C) and 4. Thymine (T).   The first three of these bases are found in RNA also but the fourth which is Uracil (U) is absent in it. RNA contains cytosine and uracil as pyrimidine bases while DNA has cytosine and thymine.

Answer: A) 1/26 Explanation: Here in this pack of cards, n(S) = 52 Let E = event of getting a queen of the club or a king of the heart Then, n(E) = 2 P(E) = n(E)/n(S) = 2/52 = 1/26

Answer: B) Rs. 2424 Explanation: Now, the principal amount P = Rs. 1,45,440 Rate of interest R = 20%/annum Now monthly income I = PTR/100 = 1,45,440 x 20 x 1/100 x 12 = 2908800/1200 = Rs. 2424.   Hence, her monthly income = Rs. 2424.

Answer: B) 30% Explanation: Let the M.R.P of an article be 100 %   Selling price of article =Rs. 17940   If he give a discount of 8 % then S.P = 92 % 92 % = 17490 100 % = 19500   Now C.P of the article is    17490 x 100/119.6 = 15000   If he did not give the discount, then    Required profit percentage =