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Approximations Questions

1. Can you find the approximate value for the following expression:

[{(13.67)2 - (4.77)2 + (8.26)3 - (5.23)3} * (30.28)4] / (200.19)2 = ?



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Correct Ans:11,300
Explanation:
Givenexpression is:​​
[{(13.67)2 - (4.77)2 + (8.26)3 - (5.23)3}* (30.28)4] / (200.19)2= ?

On taking round-off values, we get
= [{(14)2 - (5)2 + (8)3- (5)3} * (30)4] / (200)2
= [{196 - 25 + 512 - 125} * 810,000] / 40000
= [558 *810,000] / 40000
= 558 * 20.25
=11,299.5

Nearest value in given options is 11,300


2. Can you find the approximate value for the following expression:

(17.99)^2 - (14.05)^2 + (2343.75 + 81.55) ÷ ? = 229



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Correct Ans:24
Explanation:
Given expression is:

(17.99)^2 - (14.05)^2 + (2343.75 + 81.55) ÷ ? = 229

On taking round-off values,
=> (18)^2 - (14)^2 + (2340 + 80) ÷ ? = 230
=> 324 - 196 + (2420) ÷ ? = 230
=> 128 + (2420) ÷ ? = 230
=> (2420) ÷ ? = 230 - 128
=> (2420) ÷ ? = 230 - 130 (approx)
=> (2420) ÷ ? = 100
=> ? = 2420 / 100
=> ? = 24.20
=> ? = 24 (approx)


3. Can you find the approximate value of an expression:

58.2 % of 360 + 69.5 % of 950 + 55.8% of 860 + 72 % of 280 



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Correct Ans:1550
Explanation:
Given expression is:
58.2 % of 360 + 69.5 % of 950 + 55.8% of 860 + 72 % of 280

Rounding off the values in the given expression, we get
= 60% of 360 + 70% of 950 + 55% of 860 + 70% of 280
= (60 / 100) * 360 + (70 / 100) * 950 + (55 / 100) * 860 + (70 /100) * 280
= 216 + 665 + 473 + 196
= 1550 (approx)


4. Can you find out the approximate value for the following expression:

90.2 % of 100 + 128.95 % of 100 + 30.85 % of 1000 + 42.85 % of 1250 



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Correct Ans:1067
Explanation:
Given expression is:

90.2 % of 100 + 128.95 % of 100 + 30.85 % of 1000 + 42.85 % of 1250

Rounding off the values in the given expression we get
= 90 % of 100 + 129 % of 100 + 31 % of 1000 + 43 % of 1250
= (90 / 100) * 100 + (129 / 100) * 100 + (31 / 100) * 1000 + (43 / 100) * 1250
= 90 + 129 + 310 + 538
= 1067


5. Can you find the approximate value for the following expression:

(21.98) ^ 2 − (25.02) ^2 + (13.03) ^ 2



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Correct Ans:28
Explanation:
Given

(21.98) ^ 2 − (25.02) ^2 + (13.03) ^ 2

Rounding off the given Expression we get,
= (22)^2 - (25)^2 + (13)^2
= (484) - (625) + (169)
= 28


6. Can you find the approximate value for the following expression:

29.8% of 260 + 60.01% of 510 − 103.57 = ?



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Correct Ans:280
Explanation:
Given
29.8% of 260 + 60.01% of 510 − 103.57 = ?

Rounding off the given Expression we get,
= ( 30 / 100 ) * 260 + ( 60 / 100 ) * 510 - ( 104 )
= 78 + 306 - 104
= 384 - 104
= 280


7. Can you find out the approximate value for the following expression:

9228.789 − 5021.832 + 1496.989 = ?



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Correct Ans:5700
Explanation:
Given expression is:
9228.789 − 5021.832 + 1496.989 = ?

On taking the round-off values, we get,
9230 − 5020 + 1500 = ?
= 4210 + 1500
= 5710
The nearest value in the given options is 5700.
So the number is 5700


8. Can you find out the approximate value for the following expression:

25.05 * 123.95 + 388.999 * 15.001 = ?



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Correct Ans:8935
Explanation:
Given expression is:
25.05 * 123.95 + 388.999 * 15.001 = ?

On taking the round-off values, we get,
= 25 * 124 + 389 * 15
= 3100 + 5835
= 8935


9. Find the approximate value
24% of 650 - ? % of 123. 68 = 78.2



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Correct Ans:63
Explanation:
Given expression is:
24% of 650 - ? % 123. 68 = 78.2
=> ( 24 / 100) * 650 - [(X / 100) * 123.68] = 78.2 ( rounding off we get)
=> 156 - (X / 100) * 124 = 78
=> 156 - 78 = (X /100) * 124
=> 78 = (X /100) * 124
=> X = (100 * 78) / 124
=> X = 62.90
=> X = 63 approximately.


10. Find the approximate value
6832 / 58 * ? - 1624.64 = 1064.28 



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Correct Ans:23
Explanation:
Given
To solve the expression
6832 / 58 * ? - 1624.64 = 1064.28
=> (6832 / 58) * X = 1064.28 + 1624.64
=> (6832 / 58) * X = 2688.92
=> (6832 / 58) * X = 2689
=> X = 2689 * 58 / 6832
=> X = 22.82
=> X = 23 approximately


11. Find the approximate value
56% of 958 + 67% of 1008 = ? % of 2000



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Correct Ans:60.59
Explanation:
Given
To solve the expression
56% of 958 + 67% of 1008 = ? % of 2000
=> ( 56 / 100 ) * 958 + ( 67 / 100) * 1008 = ( x / 100) * (2000)
=> ( 0.56) * ( 958) + (0.67 ) * (1008) = 20 X
=> 536.48 + 675.36 = 20 X
=> 1211.84 = 20 X
=> x = 1211.84 / 20
=> x = 60.59


12. Can you find the approximate value for the below equation
 
190.99 / 201.99 * 188.01 - 195.01 + 184.01



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Correct Ans:167
Explanation:
Given Question is 190.99 / 201.99 * 188.01 - 195.01 + 184.01
when we apply BODMAS RULE and round it off, we get => ( 191 / 202 ) * 188 - 195 + 184 = 1*188-195+184 = 167


13. Can you find the approximate value for the below equation 

188.99 / 196.01 * 186.99 + 191.01 - 182.99



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Correct Ans:188
Explanation:
Given Question is 188.99 / 196.01 * 186.99 + 191.01 - 182.99
when we apply BODMAS RULE and round it off, we get => ( 189 / 196 ) * 187 + 191 - 183 = 1*187+191-183 = 188


14. Can you find the approximate value for the below equation

187.01 * 207.01 / 193.99 - 204.99 + 195.01



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Correct Ans:190
Explanation:
Given Question is 187.01 * 207.01 / 193.99 - 204.99 + 195.01
when we apply BODMAS RULE and round it off, we get => 187 * ( 207 / 194 ) - 205 + 195 = 187 * 1- 205 + 195 = 190


15. Can you find the approximate value for the below equation

185.99 * 202.99 / 191.01 + 200.01 - 193.99



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Correct Ans:204
Explanation:
Given Question is 185.99 * 202.99 / 191.01 + 200.01 - 193.99
when we apply BODMAS RULE and round it off, we get => 186 * ( 203 / 191 ) + 200 - 194 = 186 * 1+ 200 - 194 = 204


16. Can you find the approximate value for the below equation

200.99 * 197.99 - 189.99 / 196.01 + 191.01



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Correct Ans:39984
Explanation:
Given Question is 200.99 * 197.99 - 189.99 / 196.01 + 191.01
when we apply BODMAS RULE and round it off, we get => 201 * 198 - ( 190/ 196 ) + 191 = 201 * 198 - 1+ 191 = 39984


17. Can you find the approximate value for the below equation

196.01 * 192.01 - 187.99 + 192.99 / 189.01



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Correct Ans:37449
Explanation:
Given Question is 196.01 * 192.01 - 187.99 + 192.99 / 189.01
when we apply BODMAS RULE and round it off, we get => 196 * 192 - 188+ ( 193/ 189 ) = 196 * 192 - 188+ 1 = 37449


18. Can you find the approximate value for the below equation

182.99 * 187.99 + 185.01 / 188.01 - 187.99



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Correct Ans:34213
Explanation:
Given Question is 182.99 * 187.99 + 185.01 / 188.01 - 187.99
when we apply BODMAS RULE and round it off, we get => 183 * 188 + ( 185/ 188 ) - 188 = 183 * 188 + 1- 188 = 34213


19. Can you find the approximate value for the below equation

181.99 * 182.01 + 183.99 - 184.01 / 185.99



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Correct Ans:33307
Explanation:
Given Question is 181.99 * 182.01 + 183.99 - 184.01 / 185.99
when we apply BODMAS RULE and round it off, we get => 182 * 182 + 184- ( 184/ 186 ) = 182 * 182 + 184- 1 = 33307


20. Can you find the approximate value for the below equation

198.99 - 219.99 / 191.01 * 200.99 + 183.01



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Correct Ans:151
Explanation:
Given Question is 198.99 - 219.99 / 191.01 * 200.99 + 183.01
when we apply BODMAS RULE and round it off, we get => 199 - ( 220 / 191 ) * 201 + 183 = 199 - 1* 201 + 183 = 151





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