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Approximations Questions

761. Find the value of 0.37x0.37 + 1.63x1.63 + 2x0.6031 = ?




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Correct Ans:4
Explanation:
Solution is
Given 0.37x0.37 + 1.63x1.63 + 2x0.6031
Formula reference : a2 + b2 + 2 x a x b = ( a + b )2
= (0.37)2+(1.63)2+2 x (0.37) x (1.63)
= (0.37 + 1.63)2
= ( 2 )2
= 4
Answer is 4
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762. Find the value of 0.09x0.09 + 1.41x1.41 + 2x0.1269 = ?




SHOW ANSWER
Correct Ans:2.25
Explanation:
Solution is
Given 0.09x0.09 + 1.41x1.41 + 2x0.1269
Formula reference : a2 + b2 + 2 x a x b = ( a + b )2
= (0.09)2+ (1.41)2+ 2 x (0.09) x (1.41)
= (0.09 + 1.41)2
= (1.5)2
= 2.25
Answer is 2.25
Workspace



763. Find the value of 0.29x0.29 + 0.71x0.71 + 2x0.2059 = ?




SHOW ANSWER
Correct Ans:1
Explanation:
Solution is
Given 0.29x0.29 + 0.71x0.71 + 2x0.2059
Formula reference : a2 + b2 + 2 x a x b = ( a + b )2
= (0.29)2+ (0.71)2+ 2 x (0.29) x (0.71)
= (0.29 + 0.71)2
= (1)2
= 1
Answer is 1
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764. Find the value of 32.01 - 5.01 + ((27.01 / 8.99) * 2.01) =?




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Correct Ans:33
Explanation:
Solution is
= 32.01 - 5.01 + ( ( 27.01 / 8.99 ) * 2.01 )
= 32 - 5 + ( 27 / 9 * 2 )
= 32 - 5 + 3 x 2
= 32 - 5 + 6
= 33
Answer is33
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765. 13.9 +((9.99 / 4.9) * 6.99) - 4.9 =




SHOW ANSWER
Correct Ans:23
Explanation:
13.9 + 9.99 / 4.9 * 6.99 - 4.9 = 14 + 10/5 * 7 - 5 = 14 + 2 * 7 - 5 = 14 + 14 - 5 = 23
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766. Find the value of 0.51x0.51 + 3.01x3.01 - 2x1.5351 = ?




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Correct Ans:6.25
Explanation:
0.51x0.51 + 3.01x3.01 - 2 x 1.5351 = (0.51)^2+(3.01)^2 - 2 x (0.51) x (3.01) = (3.01 - 0.51)^2 =(2.5)^2=6.25 Formula reference : a^2 + b^2 - 2 x a x b = ( a - b )^2
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767. Find the value of 0.02x0.02 + 1.22x1.22 - 2x0.0244 = ?




SHOW ANSWER
Correct Ans:1.44
Explanation:
Solution is
Formula reference : a2 + b2 - 2 x a x b = ( a - b )2

= 0.02x0.02 + 1.22x1.22 - 2 x 0.0244
= (0.02)2+(1.22)2 - 2 x (0.02) x (1.22)
= (1.22 - 0.02)2
= (1.2)2
=1.44
Answer is 1.44
Workspace



768. Find the value of 0.37x0.37 + 1.63x1.63 + 2x0.6031 = ?




SHOW ANSWER
Correct Ans:4
Explanation:
0.37x0.37 + 1.63x1.63 + 2x0.6031 = (0.37)^2+(1.63)^2+2 x (0.37) x (1.63) = (0.37 + 1.63)^2 =(2)^2=4 Formula reference : a^2 + b^2 + 2 x a x b = ( a + b )^2
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769. Find the approximate value of 76.001 % of 1250 + 62 % of 2049.99 = ?




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Correct Ans:2221
Explanation:
Given
76.001 % of 1250 + 62 % of 2049.99 = ?
76 % of 1250=>76 x 1250/100 = 950
62 % of 2050=>62 x 2050/100 = 1271
Adding these two values we get,2221
Answer is 2221
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770. 21.99 % of 550 + 68.001 % of1100 = ?




SHOW ANSWER
Correct Ans:869
Explanation:
22 % of 550=>22 x 550/100 = 121 68 % of 1100=>68 x 1100/100 = 748 Adding these two values we get, Ans : 869
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771. 71.999 % of 500 + 64 % of2149.9999 = ?




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Correct Ans:1736
Explanation:
72 % of 500=>72 x 500/100 = 360 64 % of 2150=>64 x 2150/100 = 1376 Adding these two values we get, Ans : 1736
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772. Find the value of 0.18x0.18 + 2.68x2.68 - 2x0.4824 = ?




SHOW ANSWER
Correct Ans:6.25
Explanation:
0.18x0.18 + 2.68x2.68 - 2 x 0.4824 = (0.18)^2+(2.68)^2 - 2 x (0.18) x (2.68) = (2.68 - 0.18)^2 =(2.5)^2=6.25 Formula reference : a^2 + b^2 - 2 x a x b = ( a - b )^2
Workspace



773. Find the approximate value of 0.09x0.09 + 1.41x1.41 + 2x0.1269 = ?




SHOW ANSWER
Correct Ans:2.25
Explanation:
Solution is
Given

0.09x0.09 + 1.41x1.41 + 2x0.1269 = ?
Formula reference : a2 + b2 + 2 x a x b = ( a + b )2
(0.09)2+(1.41)2+2 x (0.09) x (1.41) = (0.09 + 1.41)2 = (1.5)2=2.25
Answer is2.25
Workspace



774. Find the value of 0.19x0.19 + 1.19x1.19 - 2x0.2261 = ?




SHOW ANSWER
Correct Ans:1
Explanation:
0.19x0.19 + 1.19x1.19 - 2 x 0.2261
= (0.19)^2+(1.19)^2 - 2 x (0.19) x (1.19)
= (1.19 - 0.19)^2 =(1)^2=1

Formula reference : a^2 + b^2 - 2 x a x b = ( a - b )^2
Workspace



775. Find the value of 0.04x0.04 + 1.54x1.54 - 2x0.0616 = ?




SHOW ANSWER
Correct Ans:2.25
Explanation:
0.04x0.04 + 1.54x1.54 - 2 x 0.0616 = (0.04)^2+(1.54)^2 - 2 x (0.04) x (1.54)
= (1.54 - 0.04)^2 =(1.5)^2=2.25
Formula reference : a^2 + b^2 - 2 x a x b = ( a - b )^2
Workspace



776. Find the value of 0.18x0.18 + 1.18x1.18 - 2x0.2124 = ?




SHOW ANSWER
Correct Ans:1
Explanation:
0.18x0.18 + 1.18x1.18 - 2 x 0.2124 = (0.18)^2+(1.18)^2 - 2 x (0.18) x (1.18) = (1.18 - 0.18)^2 =(1)^2=1 Formula reference : a^2 + b^2 - 2 x a x b = ( a - b )^2
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777. Find the value of 0.53x0.53 + 1.73x1.73 - 2x0.9169 = ?




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Correct Ans:1.44
Explanation:
0.53x0.53 + 1.73x1.73 - 2 x 0.9169 = (0.53)^2+(1.73)^2 - 2 x (0.53) x (1.73) = (1.73 - 0.53)^2 =(1.2)^2=1.44 Formula reference : a^2 + b^2 - 2 x a x b = ( a - b )^2
Workspace



778. Find the value of 0.31x0.31 + 1.81x1.81 - 2x0.5611 = ?




SHOW ANSWER
Correct Ans:2.25
Explanation:
0.31x0.31 + 1.81x1.81 - 2 x 0.5611 = (0.31)^2+(1.81)^2 - 2 x (0.31) x (1.81) = (1.81 - 0.31)^2 =(1.5)^2=2.25 Formula reference : a^2 + b^2 - 2 x a x b = ( a - b )^2
Workspace



779. Find the value of 0.36x0.36 + 1.36x1.36 - 2x0.4896 = ?




SHOW ANSWER
Correct Ans:1
Explanation:
0.36x0.36 + 1.36x1.36 - 2 x 0.4896 = (0.36)^2+(1.36)^2 - 2 x (0.36) x (1.36) = (1.36 - 0.36)^2 =(1)^2=1.44 Formula reference : a^2 + b^2 - 2 x a x b = ( a - b )^2
Workspace



780. Find the value of 0.55x0.55 + 2.55x2.55 - 2x1.4025 = ?




SHOW ANSWER
Correct Ans:1
Explanation:
0.55x0.55 + 2.55x2.55 - 2 x 1.4025 = (0.55)^2+(2.55)^2 - 2 x (0.55) x (2.55) = (2.55 - 0.55)^2 =(1)^2=1 Formula reference : a^2 + b^2 - 2 x a x b = ( a - b )^2
Workspace



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