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Author: Tinku Tara

If-every-element-of-a-third-order-determinant-of-value-is-multiplied-by-5-then-the-value-of-new-determinant-is-

Question Number 81872 by zainal tanjung last updated on 16/Feb/20 $$\mathrm{If}\:\mathrm{every}\:\mathrm{element}\:\mathrm{of}\:\mathrm{a}\:\mathrm{third}\:\mathrm{order} \\ $$$$\mathrm{determinant}\:\mathrm{of}\:\mathrm{value}\:\bigtriangleup\:\mathrm{is}\:\mathrm{multiplied}\:\mathrm{by} \\ $$$$\mathrm{5},\:\mathrm{then}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{new}\:\mathrm{determinant}\:\mathrm{is} \\ $$ Answered by MJS last updated on 16/Feb/20 $$\mathrm{5}^{\mathrm{3}}…

If-a-b-c-are-in-AP-p-q-r-are-in-HP-and-ap-bq-cr-are-in-GP-then-p-r-r-p-is-equal-to-

Question Number 81731 by zainal tanjung last updated on 15/Feb/20 $$\mathrm{If}\:\:{a},\:{b},\:{c}\:\mathrm{are}\:\mathrm{in}\:\mathrm{AP};\:\:{p},\:{q},\:{r}\:\mathrm{are}\:\mathrm{in}\:\mathrm{HP}\: \\ $$$$\mathrm{and}\:\:{ap},\:{bq},\:{cr}\:\:\mathrm{are}\:\mathrm{in}\:\mathrm{GP},\:\mathrm{then}\:\frac{{p}}{{r}}+\frac{{r}}{{p}} \\ $$$$\mathrm{is}\:\mathrm{equal}\:\mathrm{to} \\ $$ Commented by jagoll last updated on 15/Feb/20 $$\left({i}\right)\:{a},{b},{c}\:{in}\:{AP}\:\Rightarrow\:\mathrm{2}{b}\:=\:{a}+{c}…

The-number-of-ways-in-which-an-examiner-can-assign-30-marks-to-8-questions-giving-not-less-than-2-marks-to-any-question-is-

Question Number 81724 by zainal tanjung last updated on 14/Feb/20 $$\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{ways}\:\mathrm{in}\:\mathrm{which}\:\mathrm{an} \\ $$$$\mathrm{examiner}\:\mathrm{can}\:\mathrm{assign}\:\mathrm{30}\:\mathrm{marks}\:\mathrm{to}\:\mathrm{8} \\ $$$$\mathrm{questions},\:\mathrm{giving}\:\mathrm{not}\:\mathrm{less}\:\mathrm{than}\:\mathrm{2}\:\mathrm{marks} \\ $$$$\mathrm{to}\:\mathrm{any}\:\mathrm{question}\:\mathrm{is} \\ $$ Commented by Tony Lin last updated…

If-7-points-out-of-12-are-in-the-same-straight-line-then-the-number-of-triangles-formed-is-

Question Number 81725 by zainal tanjung last updated on 14/Feb/20 $$\mathrm{If}\:\:\mathrm{7}\:\mathrm{points}\:\mathrm{out}\:\mathrm{of}\:\mathrm{12}\:\mathrm{are}\:\mathrm{in}\:\mathrm{the}\:\mathrm{same} \\ $$$$\mathrm{straight}\:\mathrm{line},\:\mathrm{then}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of} \\ $$$$\mathrm{triangles}\:\mathrm{formed}\:\mathrm{is} \\ $$ Commented by Tony Lin last updated on 14/Feb/20…

If-x-R-the-least-value-of-the-expression-x-2-6x-5-x-2-2x-1-is-

Question Number 81672 by zainal tanjung last updated on 14/Feb/20 $$\mathrm{If}\:{x}\:\in\:{R},\:\mathrm{the}\:\mathrm{least}\:\mathrm{value}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{expression}\:\frac{{x}^{\mathrm{2}} −\mathrm{6}{x}+\mathrm{5}}{{x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{1}}\:\mathrm{is} \\ $$ Commented by Kunal12588 last updated on 14/Feb/20 $${y}=\frac{\left({x}−\mathrm{5}\right)\left({x}−\mathrm{1}\right)}{\left({x}+\mathrm{1}\right)^{\mathrm{2}}…

0-1-x-1-x-n-dx-

Question Number 81663 by zainal tanjung last updated on 14/Feb/20 $$\:\underset{\:\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\:{x}\:\left(\mathrm{1}−{x}\right)^{{n}} \:{dx}\:= \\ $$ Commented by Tony Lin last updated on 14/Feb/20 $${B}\left({p},\:{q}\right)=\int_{\mathrm{0}}…

A-team-of-8-couples-husband-and-wife-attend-a-lucky-draw-in-which-4-persons-picked-up-for-a-prize-Then-the-probability-that-there-is-at-least-one-couple-is-

Question Number 81648 by Zainal Arifin last updated on 14/Feb/20 $$\mathrm{A}\:\mathrm{team}\:\mathrm{of}\:\mathrm{8}\:\mathrm{couples},\:\left(\mathrm{husband}\:\mathrm{and}\:\mathrm{wife}\right) \\ $$$$\mathrm{attend}\:\mathrm{a}\:\mathrm{lucky}\:\mathrm{draw}\:\mathrm{in}\:\mathrm{which}\:\mathrm{4}\:\mathrm{persons} \\ $$$$\mathrm{picked}\:\mathrm{up}\:\mathrm{for}\:\mathrm{a}\:\mathrm{prize}.\:\mathrm{Then}\:\mathrm{the}\:\mathrm{probability} \\ $$$$\mathrm{that}\:\mathrm{there}\:\mathrm{is}\:\mathrm{at}\:\mathrm{least}\:\mathrm{one}\:\mathrm{couple}\:\mathrm{is} \\ $$ Commented by mr W last updated…