Simplification & Approximation Mcqs

Q.  The value of (2.75)³ – (2.00)³ – (0.75)³ is__________?

a. 3 * 2.75 * 2.75 * 2.75
b. 3 * 2.00 * 2.00 * 2.00
c. 3 * 2.75 * 0.75 * 2.75
d. 4.5 * 2.75


ANSWER: See Answer
 
(2.75)³ – (2.00)³ – (0.75)³

a³ + b³ + c³ = (a + b + c)(a³ + b³ + c³ – ab – bc – ca)
If a + b + c = 0 then a³ + b³ + c³ = 3abc
Hence 2.75 – 2.00 – 0.75 = 0
So, (2.75)³ – (2.00)³ – (0.75)³
= 3 * 2.75 * 2 * 0.75 = 3 * 1.5 * 2.75
= 4.5 * 2.75
MCQs:  32% of 425 – ?% of 250 = 36
Category: Mathematics Quizzes,   Published by: T-Code Scripts
MCQs:  6.4 * 1.25 = (?)³
Category: Mathematics Quizzes,   Published by: T-Code Scripts
MCQs:  7394 – 1236 – 4652 = ________?
Category: Mathematics Quizzes,   Published by: T-Code Scripts
MCQs:  125² * 2³ + 35000 = (?)²
Category: Mathematics Quizzes,   Published by: T-Code Scripts
MCQs:  31.2 * 14.5 * 9.6 = ________?
Category: Mathematics Quizzes,   Published by: T-Code Scripts
MCQs:  1296 ÷ (24 * 0.75) = ______?
Category: Mathematics Quizzes,   Published by: T-Code Scripts
MCQs:  43% of 784 = ________?
Category: Mathematics Quizzes,   Published by: T-Code Scripts
MCQs:  2758 + 20581 – 17889 = ________?
Category: Mathematics Quizzes,   Published by: T-Code Scripts
MCQs:  15% of 195 + 14% of 205 = _______?
Category: Mathematics Quizzes,   Published by: T-Code Scripts
MCQs:  ³√216400 + √280 + √322 = ________?
Category: Mathematics Quizzes,   Published by: T-Code Scripts
MCQs:  105 * 99 * 299 = _________?
Category: Mathematics Quizzes,   Published by: T-Code Scripts
MCQs:  105.126 * 35.201 – 90.23 * 3 + 55.11 * 27.01 = ____________?
Category: Mathematics Quizzes,   Published by: T-Code Scripts
MCQs:  (0.9 * 0.9 – 0.8 * 0.8)/1.7 = _________?
Category: Mathematics Quizzes,   Published by: T-Code Scripts
MCQs:  (0.9 * 0.9 – 0.8 * 0.8)/1.7 = ________?
Category: Mathematics Quizzes,   Published by: T-Code Scripts
MCQs:  5 * 5 ÷ 5 + 5 ÷ 5 = __________?
Category: Mathematics Quizzes,   Published by: T-Code Scripts
MCQs:  36 * 48 ÷ 64 + 36 ÷ 12 = _________?
Category: Mathematics Quizzes,   Published by: T-Code Scripts
MCQs:  ? % of 400 + 40% of 160 = 17% of 400
Category: Mathematics Quizzes,   Published by: T-Code Scripts
MCQs:  52 * 40.1 = ________?
Category: Mathematics Quizzes,   Published by: T-Code Scripts
MCQs:  22004 – 29303 + 101299 – 59532 = _________?
Category: Mathematics Quizzes,   Published by: T-Code Scripts
MCQs:  30.9 * 3000 – 10.1 * 1100 + 8298 – 4302 = _________?
Category: Mathematics Quizzes,   Published by: T-Code Scripts