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Try again. 11th BCS Preliminary Math Question ā§§ā§§ āϤāĻŽ āĻŦāĻŋāϏāĻŋāĻāϏ āĻĒā§āϰāĻŋāϞāĻŋāĻŽāĻŋāύāĻžāϰāĻŋ āĻāĻŖāĻŋāϤ āĻĒā§āϰāĻļā§āύ āĻŦā§āϝāĻžāĻāĻ āĻāĻŦāĻ āĻŦā§āϝāĻžāĻā§āϝāĻž āϏāĻš āϏāĻŽāĻžāϧāĻžāύāĨ¤ āĻĒāϰā§āĻā§āώāĻž āĻļā§āώ āĻāϰāĻžāϰ āĻāύā§āϝ āĻāĻĒāύāĻžāϰ āĻāĻžāĻā§ ā§§ā§Ļ āĻŽāĻŋāύāĻŋāĻ āϏāĻŽāϝāĻŧ āĻĨāĻžāĻāĻŦā§ āĻāĻŦāĻ āĻāĻĒāύāĻŋ āϝāĻĻāĻŋ āύāĻŋāϰā§āĻĻāĻŋāώā§āĻ āϏāĻŽāϝāĻŧā§āϰ āĻŽāϧā§āϝ⧠āĻā§āύ⧠āĻĒā§āϰāĻļā§āύā§āϰ āĻāϤā§āϤāϰ āύāĻž āĻĻā§āύ āϤāĻŦā§ āϤāĻž āĻā§āϞ āĻŦāϞ⧠āĻŦāĻŋāĻŦā§āĻāĻŋāϤ āĻšāĻŦā§āĨ¤ āĻā§āĻāĻā§ āĻĒāĻžāϏ āĻāϰāĻžāϰ āĻāύā§āϝ āĻāĻĒāύāĻžāĻā§ āύā§āϝā§āύāϤāĻŽ ā§Ģā§Ļ% āύāĻŽā§āĻŦāϰ āĻĒā§āϤ⧠āĻšāĻŦā§āĨ¤ āĻĒāϰā§āĻā§āώāĻžāϝāĻŧ āĻ āĻāĻļāĻā§āϰāĻšāĻŖ āĻāϰāϤ⧠"START" āĻŦā§āϤāĻžāĻŽ āĻāĻŋāĻĒā§āύāĨ¤ āĻļāϤāĻāϰāĻž 1 / 15 āĻāĻžāϞā§āϰ āĻŽā§āϞā§āϝ ⧧⧍% āĻāĻŽā§ āϝāĻžāĻāϝāĻŧāĻžāϝāĻŧ ā§Ŧ,ā§Ļā§Ļā§Ļ āĻāĻžāĻāĻžāϝāĻŧ āĻĒā§āϰā§āĻŦāĻžāĻĒā§āĻā§āώāĻž ā§§ āĻā§āĻāύā§āĻāĻžāϞ āĻāĻžāϞ āĻŦā§āĻļāĻŋ āĻĒāĻžāĻāϝāĻŧāĻž āϝāĻžāϝāĻŧāĨ¤ ā§§ āĻā§āĻāύā§āĻāĻžāϞ āĻāĻžāϞā§āϰ āĻŦāϰā§āϤāĻŽāĻžāύ āĻŽā§āϞā§āϝ āĻāϤ? ā§ā§Ģā§Ļ āĻāĻžāĻāĻž ā§ā§¨ā§Ļ āĻāĻžāĻāĻž ā§ā§Ļā§Ļ āĻāĻžāĻāĻž ā§ā§Ģ āĻāĻžāĻāĻž Oops! Your answer is wrong. Wow! Your answer is correct. āĻŦā§āϝāĻžāĻā§āϝāĻž: ā§§ āĻā§āĻāύā§āĻāĻžāϞ āĻāĻžāϞā§āϰ āĻŦāϰā§āϤāĻŽāĻžāύ āĻĻāĻžāĻŽ = (ā§Ŧā§Ļā§Ļā§Ļ Ã ā§§ā§¨)/ā§§ā§Ļā§Ļ = ā§ā§¨ā§Ļ āĻāĻžāĻāĻž āĻĒāϰāĻŋāĻŽāĻŋāϤāĻŋ 2 / 15 āĻāĻāĻāĻŋ āĻāϝāĻŧāϤāĻžāĻāĻžāϰ āĻā§āώā§āϤā§āϰā§āϰ āĻĻā§āϰā§āĻā§āϝ āĻŦāĻŋāϏā§āϤāĻžāϰā§āϰ ā§Š āĻā§āĻŖāĨ¤ āĻĻā§āϰā§āĻā§āϝ ā§Ēā§Ž āĻŽāĻŋāĻāĻžāϰ āĻšāϞā§; āĻā§āώā§āϤā§āϰāĻāĻŋāϰ āĻĒāϰāĻŋāϏā§āĻŽāĻž āĻāϤ? ⧝ā§Ŧ āĻŽāĻŋāĻāĻžāϰ ā§§ā§¨ā§Ž āĻŽāĻŋāĻāĻžāϰ ā§§ā§Ēā§Ē āĻŽāĻŋāĻāĻžāϰ ā§Ŧā§Ē āĻŽāĻŋāĻāĻžāϰ Oops! Your answer is wrong. Wow! Your answer is correct. āĻŦā§āϝāĻžāĻā§āϝāĻž: āĻĻā§āϰā§āĻā§āϝ = ā§Ēā§Ž; āĻĒā§āϰāϏā§āĻĨ = ā§Ēā§Ž Ãˇ ā§Š = ā§§ā§ŦāĻĒāϰāĻŋāϏā§āĻŽāĻž = ⧍ (ā§Ēā§Ž + ā§§ā§Ŧ) = ā§§ā§¨ā§Ž āĻŽāĻŋāĻāĻžāϰāĨ¤ āĻĒā§āϝāĻžāϰā§āĻāĻžāύ 3 / 15 ⧧⧝, ā§Šā§Š, ā§Ģā§§, ā§ā§Š, __ āĻĒāϰāĻŦāϰā§āϤ⧠āϏāĻāĻā§āϝāĻžāĻāĻŋ āĻāϤ? ā§¯ā§Ž ⧝⧝ ā§Žā§Ģ ⧧⧍⧧ Oops! Your answer is wrong. Wow! Your answer is correct. Explanation: āĻāĻāĻāĻžāύ⧠āĻĒā§āϰāϤāĻŋ āĻĒāĻĻā§āϰ āĻĒāĻžāϰā§āĻĨāĻā§āϝ āĻšāĻā§āĻā§ āϝāĻĨāĻžāĻā§āϰāĻŽā§ ā§§ā§Ē, ā§§ā§Ž, ⧍⧍, ⧍ā§Ŧ āĻāĻāĻāĻžāĻŦā§ āĻŦāĻžā§āϤ⧠āĻĨāĻžāĻāĻŦā§ āϏā§āϤāϰāĻžāĻ āĻāϤā§āϤāϰ āĻšāĻŦā§ ā§ā§Š+⧍ā§Ŧ=⧝⧝ āĻĒāϰāĻŋāĻŽāĻžāĻĒ 4 / 15 āĻāĻ āĻŽāĻŋāĻāĻžāϰ āϏāĻŽāĻžāύ āĻāϤ āĻāĻā§āĻāĻŋ? ā§Šā§.ā§Ē⧝ āĻāĻā§āĻāĻŋ ā§Šā§.ā§Šā§¯ āĻāĻā§āĻāĻŋ ā§Šā§¯.ā§Ēā§āĻāĻā§āĻāĻŋ ā§Šā§¯.ā§Šā§ āĻāĻā§āĻāĻŋ Oops! Your answer is wrong. Wow! Your answer is correct. Explanation: ā§§ āĻŽāĻŋāĻāĻžāϰ= ā§Šā§¯.ā§Šā§ āĻāĻā§āĻāĻŋ āĻĻā§āϰāϤā§āĻŦ āĻ āĻāϤāĻŋ 5 / 15 āĻāĻāĻāĻŋ āĻŦāύā§āĻĻā§āĻā§āϰ āĻā§āϞāĻŋ āĻĒā§āϰāϤāĻŋ āϏā§āĻā§āύā§āĻĄā§ ā§§,ā§Ģā§Ēā§Ļ āĻĢā§āĻ āĻāϤāĻŋāĻŦā§āĻā§ āϞāĻā§āώā§āϝāĻā§āĻĻ āĻāϰā§āĨ¤ āĻāĻ āĻŦā§āϝāĻā§āϤāĻŋ āĻŦāύā§āĻĻā§āĻ āĻā§āĻāĻĄāĻŧāĻŦāĻžāϰ ā§Š āϏā§āĻā§āύā§āĻĄ āĻĒāϰ⧠āϞāĻā§āώā§āϝāĻā§āĻĻā§āϰ āĻļāĻŦā§āĻĻ āĻļā§āύāϤ⧠āĻĒāĻžāϝāĻŧāĨ¤ āĻļāĻŦā§āĻĻā§āϰ āĻāϤāĻŋ āĻĒā§āϰāϤāĻŋ āϏā§āĻā§āύā§āĻĄā§ ā§§,ā§§ā§Ļā§Ļ āĻĢā§āĻāĨ¤ āϞāĻā§āώā§āϝ āĻŦāϏā§āϤā§āϰ āĻĻā§āϰāϤā§āĻŦ āĻāϤ? ā§§ā§Žā§ā§Ģ āĻĢā§āĻ ā§§ā§¯ā§ā§Ģ āĻĢā§āĻ ā§¨ā§Ļ⧍ā§Ģ āĻĢā§āĻ ā§§ā§¯ā§¨ā§Ģ āĻĢā§āĻ Oops! Your answer is wrong. Wow! Your answer is correct. āĻŦā§āϝāĻžāĻā§āϝāĻž: x/ā§§ā§Ģā§Ēā§Ļ + x/ā§§ā§§ā§Ļā§Ļ = ā§Š;āĻŦāĻž, (ā§Ģx + ā§x)/ā§ā§ā§Ļā§Ļ= ā§ŠāĻŦāĻž, ⧧⧍x/ā§ā§ā§Ļā§Ļ= ā§ŠāĻŦāĻž, x = ā§Š à ā§ā§ā§Ļā§Ļ/⧧⧍ = ⧧⧝⧍ā§ĢāĨ¤ āĻŦā§āϤā§āϤ 6 / 15 āĻāĻāĻāĻŋ āĻŦā§āϤā§āϤā§āϰ āĻŦā§āϝāĻžāϏāĻžāϰā§āϧāĻā§ āϝāĻĻāĻŋ r āĻĨā§āĻā§ āĻŦā§āĻĻā§āϧāĻŋ āĻāϰ⧠r+n āĻāϰāĻž āĻšāϝāĻŧ, āϤāĻŦā§ āϤāĻžāϰ āĻā§āώā§āϤā§āϰāĻĢāϞ āĻĻā§āĻŦāĻŋāĻā§āĻŖ āĻšāϝāĻŧāĨ¤ r-āĻāϰ āĻŽāĻžāύ āĻāϤ? n+â2 â2(n+1) n/â2-1 â2n Oops! Your answer is wrong. Wow! Your answer is correct. Explanation : āĻŦā§āϝāĻžāϏāĻžāϰā§āϧ r āĻšāϞ⧠āĻā§āώā§āϤā§āϰāĻĢāϞ m āĻ āĻŦā§āϝāĻžāϏāĻžāϰā§āϧ (r + n) āĻšāϞ⧠āĻā§āώā§āϤā§āϰāĻĢāϞ Ī (r + n) āĨ¤ āĻĒā§āϰāĻļā§āύāĻŽāϤā§,2Ī r 2 =Ī(r + n)2āĻŦāĻž, 2Ī 2 = (Ī +n)2āĻŦāĻž,â2Ī = Ī+ nāĻŦāĻž, Ī (â2 â 1) = nāĻŦāĻž,Ī = n/ (â2 â 1) āϏāϰāϞā§āĻāϰāĻŖ 7 / 15 a â {a â (a + 1)} = āĻāϤ? a-1 a+1 a 1 Oops! Your answer is wrong. Wow! Your answer is correct. āĻŦā§āϝāĻžāĻā§āϝāĻž: a â {a - (a + 1)} = a â (a - a -1} = a - (-1) = a + 1 āĻ āύā§āĻĒāĻžāϤ āĻ āϏāĻŽāĻžāύā§āĻĒāĻžāϤ 8 / 15 āĻāĻāĻāĻŋ āĻĒāĻžāϤā§āϰ⧠âāĻĻā§āϧ āĻ āĻĒāĻžāύāĻŋāϰ āĻ āύā§āĻĒāĻžāϤ ā§Ģ:⧍āĨ¤ āϝāĻĻāĻŋ āĻĒāĻžāύāĻŋ āĻ āĻĒā§āĻā§āώāĻž āĻĻā§āϧā§āϰ āĻĒāϰāĻŋāĻŽāĻžāĻŖ ā§Ŧ āϞāĻŋāĻāĻžāϰ āĻŦā§āĻļāĻŋ āĻšāϝāĻŧ āϤāĻŦā§ āĻĒāĻžāύāĻŋāϰ āĻĒāϰāĻŋāĻŽāĻžāĻŖâ ā§Ŧ āϞāĻŋāĻāĻžāϰ ā§Ē āϞāĻŋāĻāĻžāϰ ā§§ā§Ē āϞāĻŋāĻāĻžāϰ ā§§ā§Ļ āϞāĻŋāĻāĻžāϰ Oops! Your answer is wrong. Wow! Your answer is correct. āĻŦā§āϝāĻžāĻā§āϝāĻž: 5x â 2x = 6 āĻŦāĻž, 3x = 6 āĻŦāĻž, x = 2.āĻŦāĻž, āĻĒāĻžāύāĻŋ 2x = 2 à 2 = 4 āϏāϰāϞā§āĻāϰāĻŖ 9 / 15 (15 Ãˇ 15 à 15)/ (15 Ãˇ 15 à 15) āĻāϰ āĻŽāĻžāύ āĻšāĻŦā§â 0 1 1/225 225 Oops! Your answer is wrong. Wow! Your answer is correct. āĻļāϤāĻāϰāĻž 10 / 15 āĻ āĻāϰ āĻŦā§āϤāύ āĻ āĻāϰ āĻŦā§āϤāύ āĻ āĻĒā§āĻā§āώāĻž āĻļāϤāĻāϰāĻž ā§Šā§Ģ āĻāĻžāĻāĻž āĻŦā§āĻļāĻŋ āĻšāϞ⧠āĻ āĻāϰ āĻŦā§āϤāύ āĻ āĻāϰ āĻŦā§āϤāύ āĻ āĻĒā§āĻā§āώāĻž āĻāϤ āĻāĻžāĻāĻž āĻāĻŽ? ā§Ēā§Ļ āĻāĻžāĻāĻž ⧍ā§Ģ.ā§¯ā§Š āĻāĻžāĻāĻž ⧍⧠āĻāĻžāĻāĻž ⧍ā§Ģ.ā§Ģ āĻāĻžāĻāĻž Oops! Your answer is wrong. Wow! Your answer is correct. āĻŦā§āϝāĻžāĻā§āϝāĻž: āĻ āĻāϰ āĻŦā§āϤāύ āĻ āĻāϰ ā§§ā§Šā§Ģ%. āĻ āĻāϰ āĻŦā§āϤāύ ā§Šā§Ģ/ā§§ā§Šā§Ģ x ā§§ā§Ļā§Ļ% = ⧍ā§Ģ.ā§¯ā§Š% āĻāĻŽ āĻā§ 11 / 15 ā§§ā§Ļ āĻāĻŋ āϏāĻāĻā§āϝāĻžāϰ āϝā§āĻāĻĢāϞ ā§Ēā§Ŧ⧍āĨ¤ āĻāĻĻā§āϰ āĻĒā§āϰāĻĨāĻŽ ā§Ē āĻāĻŋāϰ āĻāĻĄāĻŧ ā§Ģ⧍ āĻāĻŦāĻ āĻļā§āώ ā§ĢāĻāĻŋāϰ āĻāĻĄāĻŧ ā§Šā§ŽāĨ¤ āĻĒāĻā§āĻāĻŽ āϏāĻāĻā§āϝāĻžāĻāĻŋ āĻāϤ? ā§Ŧ⧍ ā§Ŧā§Ē ā§Ģā§Ļ ā§Ŧā§Ļ Oops! Your answer is wrong. Wow! Your answer is correct. āĻŦā§āϝāĻžāĻā§āϝāĻž: ā§§āĻŽ ā§ĒāĻāĻŋāϰ āϏāĻŽāώā§āĻāĻŋ = 8 à ā§Ģ⧍ = ⧍ā§Ļā§ŽāĻļā§āώ ā§ĢāĻāĻŋāϰ āϏāĻŽāώā§āĻāĻŋ = ā§Ģ Ã ā§Šā§Ž = ⧧⧝ā§Ļ⧝āĻāĻŋāϰ āϏāĻŽāώā§āĻāĻŋ = ā§Šā§¯ā§Ž.: ā§ĢāĻŽ āϏāĻāĻā§āϝāĻž = ā§Ēā§Ŧ⧍ â ā§Šā§¯ā§Ž = ā§Ŧā§Ē āĻŦā§āĻāĻāĻŖāĻŋāϤā§ā§ āϏā§āϤā§āϰ 12 / 15 āϝāĻĻāĻŋ a3 - b3 = 513 āĻāĻŦāĻ Â a - b  =  3 āĻšāϝāĻŧ, āϤāĻŦā§ ab āĻāϰ āĻŽāĻžāύ āĻāϤ? 35 54 45 55 Oops! Your answer is wrong. Wow! Your answer is correct. Explanation: a3 â b3 = (aâb)3+ 3ab (a-b)āĻŦāĻž, 513 = 33 + 3ab.3āĻŦāĻž, 9ab = 513 â 27 = 486āĻŦāĻž, ab = 486/9= 54 Watch Problem 13 / 15 ⧍āĻāĻž ā§§ā§Ģ āĻŽāĻŋāύāĻŋāĻā§āϰ āϏāĻŽāϝāĻŧ āĻāύā§āĻāĻžāϰ āĻāĻžāĻāĻāĻž āĻ āĻŽāĻŋāύāĻŋāĻā§āϰ āĻāĻžāĻāĻāĻžāϰ āĻŽāϧā§āϝ⧠āĻāϤ āĻĄāĻŋāĻā§āϰāĻŋ āĻā§āĻŖ āĻā§āĻĒāύā§āύ āĻšāϝāĻŧ? ⧍ā§Ļ° ā§¨ā§Š.ā§Ģ ° ⧍⧍.ā§Ģ° ā§¨ā§ŠÂ° Oops! Your answer is wrong. Wow! Your answer is correct. āĻŦā§āϝāĻžāĻā§āϝāĻž: āĻā§āĻŋāϰ āϏāĻŽā§āĻĒā§āϰā§āĻŖ āĻā§āύā§āĻĻā§āϰ⧠āϤāĻĨāĻž ⧧⧍ āĻāύā§āĻāĻžā§ āĻāύā§āĻāĻžāϰ āĻāĻžāĻāĻžāϰ āĻā§āĻŖā§āϰ āĻĒāϰāĻŋāĻŽāĻžāύ ā§Šā§Ŧā§Ļ āĻĄāĻŋāĻā§āϰā§, āĻ āϰā§āĻĨāĻžā§ āĻĒā§āϰāϤā§āϝā§āĻ āĻāĻ āĻāύā§āĻāĻžā§ āĻāύā§āĻāĻžāϰ āĻāĻžāĻāĻž āĻ āĻā§āϰāϏāϰ āĻšā§ ā§Šā§Ŧā§Ļ/⧧⧍ āĻŦāĻž ā§Šā§Ļ āĻĄāĻŋāĻā§āϰā§āĨ¤ āĻ āϤāĻāĻŦ ā§§ā§Ģ āĻŽāĻŋāύāĻŋāĻā§ āĻāύā§āĻāĻžāϰ āĻāĻžāĻāĻž āĻ āĻā§āϰāϏāϰ āĻšāĻŦā§ ā§Šā§Ļ/ā§Ē = ā§.ā§Ģ āĻĄāĻŋāĻā§āϰā§āĨ¤ āĻāĻāύ, ⧍:ā§§ā§Ģ āĻŦāĻžāĻā§ āĻāύā§āĻāĻžāϰ āĻāĻžāĻāĻžāϰ āĻ āĻŦāϏā§āĻĨāĻžāύ ⧍ Ã ā§Šā§Ļ + ā§.ā§Ģ = ā§Ŧā§.ā§Ģ āĻĄāĻŋāĻā§āϰā§āϤā§, āĻāĻŦāĻ āĻŽāĻŋāύāĻŋāĻā§āϰ āĻāĻžāĻāĻžāϰ āĻ āĻŦāϏā§āĻĨāĻžāύ ā§Š Ã ā§Šā§Ļ = ⧝ā§Ļ āĻĄāĻŋāĻā§āϰā§āϤā§āĨ¤ āĻ āϤāĻāĻŦ āĻāĻĻā§āϰ āĻŽāϧā§āϝāĻāĻžāϰ āĻĒāĻžāϰā§āĻĨāĻā§āϝ= ⧝ā§Ļ - ā§Ŧā§.ā§Ģ = ⧍⧍.ā§Ģ āĻĄāĻŋāĻā§āϰ⧠āϏāĻŽāϏā§āϝāĻžāϰ āϏāĻŽāĻžāϧāĻžāύ 14 / 15 āĻāĻāĻāĻŋ āĻā§āϰāĻŋāĻā§āĻ āĻĻāϞā§āϰ āϝāϤāĻāύ āώā§āĻā§āϝāĻžāĻŽā§āĻĒ āĻāĻāĻ āĻšāϞ⧠āϤāĻžāϰ āĻĻā§āĻĄāĻŧāĻā§āĻŖ āĻāĻ āĻāĻāĻ āĻšāϞ⧠āĻāĻŦāĻ āĻŽā§āĻ āĻāĻāĻā§āĻā§āϰ āĻ āϰā§āϧā§āĻ āĻŦā§āϞā§āĻĄ āĻāĻāĻ āĻšāϞ⧠āĨ¤āĻ āĻĻāϞā§āϰ āĻāϤāĻāύ āĻāĻ āĻāĻāĻ āĻšāϞā§? ā§Ģ āĻāύ ā§Š āĻāύ ⧍ āĻāύ ā§Ē āĻāύ Oops! Your answer is wrong. Wow! Your answer is correct. āĻŦā§āϝāĻžāĻā§āϝāĻž: āĻāĻāĻā§āĻā§āϰ āĻ āϰā§āϧā§āĻ ā§§ā§Ļ/⧍= ā§Ģ.: āϏā§āĻā§āϝāĻžāĻŽā§āĻĒ āĻāĻāĻ x āĻšāϞā§, āĻāĻ āĻāĻāĻ = ā§§.ā§ĢxāϏā§āϤāϰāĻžāĻ, x + ā§§.ā§Ģx = ⧍.ā§Ģx = ā§Ģx = ā§Ģ/⧍.ā§Ģ = ⧍āĨ¤ 15 / 15 āĻĒāĻžāĻļāĻžāĻĒāĻžāĻļāĻŋ āĻĻā§āĻāĻŋ āĻŦāϰā§āĻāĻā§āώā§āϤā§āϰā§āϰ āĻĒā§āϰāϤā§āϝā§āĻ āĻŦāĻžāĻšā§ ā§¨ā§Ļ āĻĢā§āĻ āĨ¤ BC = 6, CF= 5 āĻĢā§āĻ, DE =? ā§§ā§Ž āĻĢā§āĻ ā§§ā§Ģ āĻĢā§āĻ ā§§ā§¨ āĻĢā§āĻ ā§¨ā§Ļ āĻĢā§āĻ Oops! Your answer is wrong. Wow! Your answer is correct. Please enter the required information and tap on the "See Result" button to view your results. Don't worry! Your information will be safe. For details check our Privacy Policy. Your score is The average score is 73% LinkedIn Facebook Twitter VKontakte 0% Restart quiz Send feedback