Tiêu đề 01. REAL NUMBERS.pdf ✅

01. REAL NUMBERS #QID# 4226 (1.) Which of the following statement is true? (1) a b a b + = + (2) a b a b − = − (3) 3 ab a b =  (4) ab a b =  Ans: 4 Exp: D ab a b =  When we multiply two different root number then only number is multiplied not the root because we have both number power equal, Multiple Choice Question Easy Very Short Answer Number Systems #QID# 4227 (2.) Which of the following is equal to 'x'? (1) 1 12 4 3 (x ) (2) 12 7 7 12 x x  (3) 2 3 3 ( x ) (4) 12 5 7 7 x x − Ans: 3 Exp: C 2 3 3 ( x ) 2 3 3 ( x ) 3 2 2 3 = (x ) = x Multiple Choice Question Easy Very Short Answer Number Systems #QID# 4228 (3.) The value of 'x' in 1 1 x 2 3 3 2 (64) (27) + = + is: (1) 3
(2) 5 (3) 14 (4) 8 Ans: 1 Exp: A 3 1 1 x 2 3 3 2 (64) (27) + = + x 3  + = + 3 2 64 27 x 3  = = 2 8 2 Equating both, x 3 = Multiple Choice Question Easy Very Short Answer Number Systems #QID# 4229 (4.) Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion: A rational number between 1 3 and 1 2 is 5 . 12 Reason: Rational number between two numbers a and b is ab. (1) Assertion and Reason both are correct statements and Reason is the correct explanation of Assertion. (2) Assertion and Reason both are correct statements but Reason is not the correct explanation of Assertion. (3) Assertion is correct statement but Reason is wrong statement. (4) Assertion is wrong statement but Reason is correct statement. Ans: 3 Exp: C Assertion is correct statement but Reason is wrong statement. 1 1 1 5 2 3 2 12   + =     Assertion Reason Easy Very Short Answer Number Systems #QID# 4230 (5.) If n 2 1024, = then n 2 4 4 3     −   = (1) 3 (2) 9 (3) 27
(4) 81 Ans: 2 Exp: B 9 We have to find n 2 4 4 3     −   Given n 2 1024 = n 10 2 2 = 1 n 2 2  Equating powers of rational exponents we get 1 n 10 2  = n 10 2 =  n 20 = Substituting in n 2 4 4 3     −   we get n 20 2 4 2 4 4 4 3 3         − −     = 2 5 4 ( ) 3 − = 2 1 3  = = 9 Hence the correct choice is b. Multiple Choice Question Easy Very Short Answer Number Systems #QID# 4231 (6.) The decimal representation of an irrational number is: (1) Neither terminating nor repeating. (2) Always terminating. (3) Always non-terminating. (4) Either terminating or non-repeating. Ans: 1 Exp: A Neither terminating nor repeating. An irrational number can not be written in the form of p . q And decimal representation of it is neither terminating nor repeating. Multiple Choice Question Easy Very Short Answer Number Systems #QID# 4232 (7.) If x 7 4 3 = + ( ) than 1 x ? x     + =  