MAXIMUM & MINIMUM VALUES OF ALGEBRAIC EXPRESSIONS/EQUATIONS QUERY 1 The minimum value of (x-2)(x-9) is? A) -11/4 B) 49/4 C) 0 D) -49/4 MAHA GUPTA (x – 2)(x – 9) = x² – 11x + 18 We see that this expression is a quadratic one. Note that in a quadratic

QUESTIONS ON SIMPLIFICATION (PART-IX) QUERY 81 What is the square root of ’33 – 4√35′ A) +/- (√7 – 2√5) B) +/- (2√7 – √5) C) +/- (2√7 + √5) D) +/- (√7 + 2√5) MAHA GUPTA In every question, one of our eyes should always be on answer options.

QUESTIONS ON SIMPLIFICATION (PART-VIII) QUERY 71 16.16 × 16.004  ×2.2 = ? A) 2.856 B) 2.586 C) 3.856 D) 4 MAHA GUPTA If you see every base of the question can be converted into base 2 So, the given expression = 24*.16 × 24*.004 × 2.2 = 2.64 × 2.016 ×2.2 = 2(.64+.016+.2) = 2.856 (option

QUESTIONS ON SIMPLIFICATION (PART-VII) QUERY 61 SHIV KISHOR Let 1.331 = a Then the given expression = [(1/a + 1/a² + ….1/a7)/(1/a2 +1/a3 + …..1/a8)]2/3 = [(1/a +1/a2 + ….1/a7)/{(1/a)(1/a + 1/a2 + …..1/a7)}]2/3 = [1/(1/a)]2/3 = a2/3 = (1.331)2/3 = 1.21 (option ‘4’) QUERY 62 If √x = √3 – √5,

QUESTIONS ON SIMPLIFICATION (PART-VI) QUERY 51 If x + y + z = 7 and xy + yz + zx = 10; find the maximum value of x? A) 2 B) 7 C) √29 D) 5 MAHA GUPTA x + y + z = 7 Squaring both sides (x +

QUESTIONS ON SIMPLIFICATION (PART-V) QUERY 41 A) 4 B) 3 C) 1 D) 2 MAHA GUPTA In my view in an objective exam one should try to imagine smallest possible values of the variables satisfying the given equations; though one must know how to solve by descriptive method. Here in

QUESTIONS ON SIMPLIFICATION (PART-IV) QUERY 31 (27 + √756)1/3 + (27 – √756)1/3 = ? A) 0 B) 1 C) 3 D) 7 SHIV KISHOR Let A = (27 + √756)1/3 + (27 – √756)1/3 = ? Cubing A³ = (27 + √756) + (27 – √756) + 3(27 +

QUESTIONS ON SIMPLIFICATION (PART-III) QUERY 21 If x = √3/2; then the value of (1+x)/(1+√(1+x) + (1-x)/(1 – √(1-x) is equal to A) √3/2 B) √3 C) 0 D) 1 RONNIE BANSAL x = √3/2 => 1 + x = 1 + √3/2 => 1 + x = (2 +

QUESTIONS ON SIMPLIFICATION (PART-II) QUERY 11 If x² + y² + z² + 2= 2(y – x), then what is the value of x³ + y³ + z³ = ? A) 0 B) 1 C) 2 D) 3 MADHAV JHA In such question one needs to be very vigil; by

QUESTIONS ON SIMPLIFICATION (PART-I) QUERY 1 If 2x + 2/x = 1, then find the value of x³ + 1/x³ A) -8/11 B) -11/8 C) 3/2 D) 2/3 JAYANTCHARAN CHARAN Whenever such type of question is asked …..first make it simple by converting the equation like: x + 1/x =