Simplification and Approximation Simplification and Approximation Please wait while the activity loads. If this activity does not load, try refreshing your browser. Also, this page requires javascript. Please visit using a browser with javascript enabled. If loading fails, click here to try again Question 1(1015)2 = ? 1040125 103022510501251025125Arithmetic Aptitude Simplification and Approximation 50 Aptitude & Reasoning MCQs with Answers Discuss itQuestion 1-Explanation: 10152 = (1000+15)2 = 10002 + 152 +2 x 1000 x 15 =1000000 + 225 + 30000 =1030225Question 2103 x 103 + 97 x 97 = ?21348200181964821428Arithmetic Aptitude Simplification and Approximation Discuss itQuestion 2-Explanation: 103 x 103 + 97 x 97 = (100+3)2 + (100-3)2 = 2 (1002 + 32 ) [ (X +Y)2 + ( X – Y)2 = 2 ( X2 + Y2 ) ] = 2 (10000 + 9 ) = 2 x 10009 = 20018Question 39848 x 125 = ?1232000124200012310001233000Arithmetic Aptitude Simplification and Approximation Discuss itQuestion 3-Explanation: 9848 x 125 = 9848 x (250 / 2) = 4924 x (500 / 2) = 2462 x (1000 / 2) = 1231 x (1000) = 1231000Question 4512 x 512 + 488 x 488 = ?512438502568500288514318Arithmetic Aptitude 2 Simplification and Approximation Discuss itQuestion 4-Explanation: Let X=500 & Y=12 Now, (X + Y)2 + (X – Y)2 = 2 ( X2 + Y2 ) = 2 ( 5002 + 122 ) = 2 ( 250000 + 144 ) = 2 * 250144 = 500288 Question 5What should be the value of x in equation (x / √216) = (√96 / x)1213911Arithmetic Aptitude 2 Simplification and Approximation 50 Aptitude & Reasoning MCQs with Answers Discuss itQuestion 5-Explanation: Let (x / √216) = (√96 / x) Then x2 = √(216 x 96) = √(36 x 2 x 3 x 16 x 2 x 3) = √(62 x 42 x 22 x 32) = 6 x 4 x 2 x 3 = 144 Or x = 12 Question 67 + 72 + 73...........76 =? 140136142156133256137256Arithmetic Aptitude 4 Simplification and Approximation 50 Aptitude & Reasoning MCQs with Answers Discuss itQuestion 6-Explanation: Given series is a G. P. with a = 7, r = 7 and n = 6 ∴ Sn = a(rn-1) / (r-1) ∴ Sn = 7(76-1) / 6 Sn = = 137256Question 7What could be the maximum value of Y in the following equation given that neither of X, Y, Z is zero? 5X8 + 3Y4 + 2Z1 = 11030789Numbers Simplification and Approximation Discuss itQuestion 7-Explanation: 1 1 <- CARRY 5 X 8 + 3 Y 4 + 2 Z 1 -------- 11 0 3 -------- Clearly, X + Y + Z + 1 = 10 => X + Y + Z = 9 Now, since neither of X, Y, Z can be zero, the value of Y will be maximum when X = Z = 1. => Max Y = 7Question 8What is the unit's digit in the product (267)153 x (66666)72 ?7612Numbers Simplification and Approximation Discuss itQuestion 8-Explanation: We have to find the unit digit only. In 267 unit digit is 7 and cyclicity of 7 is 4. So, (267)153 can be written as (267)Rem(153)/4 = (267)1 Unit digit of (267)1 = 7. similarly for 66666 unit digit is 6 and cyclicity for 6 is 1. Unit digit for (66666)72 = 6. Therefore , Unit digit of the resultant is 7 * 6 = 2Question 9√7321 x 35.999 = ?3060320434102930Simplification and Approximation Discuss itQuestion 9-Explanation: 85*9*100/25=765*4=3060Question 105432.91 ÷ 2324.65 × 210.05 =?471431491501Simplification and Approximation Discuss itQuestion 10-Explanation: Approx: 2.3*210 = 483 123 There are 23 questions to complete. You have completed questions question Your accuracy is Correct Wrong Partial-Credit You have not finished your quiz. If you leave this page, your progress will be lost. Correct Answer You Selected Not Attempted Final Score on Quiz Attempted Questions Correct Attempted Questions Wrong Questions Not Attempted Total Questions on Quiz Question Details Results Date Score Hint Time allowed minutes seconds Time used Answer Choice(s) Selected Question Text Need more practice! Keep trying! Not bad! Good work! Perfect! Last Updated : 27 Sep, 2023 Share your thoughts in the comments Add Your Comment Please Login to comment...