1. Can you find the value for the following expression:
(1675÷5) + (5328÷12) * (8430÷15) = (?)^2 − 235
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Correct Ans:500.09
Explanation:
Given expression is:
(1675÷5) + (5328÷12) * (8430÷15) = (?)^2 − 235
=> 335 + 444 * 562 = (?)^2 − 235
=> 335 + 249528 = (?)^2 − 235
=> 249863 = (?)^2 − 235
=> 249863 + 235 = (?)^2
=> 250098 = (?)^2
=> (?) = sqrt(250098)
=> (?) = 500.09
2. Can you find the value for the following expression:
(29)^2 * 91 ÷ 7 + (8)^3 + 61 =(?) ^ 3 + 858
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Correct Ans:22
Explanation:
Given expression is:
(29)^2 * 91 ÷ 7 + (8)^3 + 61 =(?)^3 + 858
=> 841 x (13) + 512 + 61 = (?)^3 + 858
=> 10933 + 512 + 61 = (?)^3 + 858
=> 11506 = (?)^3 + 858
=> 11506 - 858 = (?)^3
=> 10648 = (?)^3
=> (?) = cube root(10648)
=> (?) = 22
3. Can you find the value of "?" in the following expression:
[50 - {20 + 60% of (26/13 + 24/12 + 21) - 2} + 8] = 625/?
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Correct Ans:25
Explanation:
Given expression is:
[50 - {20 + 60% of (26/13 + 24/12 + 21) - 2} + 8] = 625/?
=> [50 - {20 + 60% of (2 + 2 + 21) - 2} + 8] = 625/x
=> [50 - {20 + 60% of (25) - 2} + 8] = 625/x
=> [50 - {20 + (60/100 * 25) - 2} + 8] = 625/x
=> [50 - {20 + 15 - 2} + 8] = 625/x
=> [50 - {33} + 8] = 625/x
=> [50 - 33 + 8] = 625/x
=> 25 = 625/x
=> x = 625 / 25
=> x = 25.
4. Can you simplify the following expression:
5(17/37) x 4(51/52) x 11(1/7) + 2(3/4)
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Correct Ans:305.75
Explanation:
Given expression is:
5(17/37) x 4(51/52) x 11(1/7) + 2(3/4)
= {(37 * 5 + 17) / 37} x {(52 * 4 + 51) / 52} x {(7 * 11 + 1) / 7} + {(4 * 2 + 3) / 4}
= {202 / 37} x {259 / 52} x {78 / 7} + {11 / 4}
On simplifying, 259 / 37 = 7
= 202 x 7 / 52 x 78 / 7 + 11/4
= 202 x 78 / 52 + 11/4
= 101 x 78 / 26 + 11/4
= 101 x 3 + 11/4
= 303 + 11/4
= (1212 + 11) / 4
= 1223 / 4
= 305.75
Therefore, 5(17/37) x 4(51/52) x 11(1/7) + 2(3/4) = 305.75
5. Can you find the value of the expression:
(512 * 5 ^ 2 * 3) / (45 *32 )
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Correct Ans:26 (2/3)
Explanation:
Given
To find out the value of the expression
=> ( 512 * 5 ^ 2 *3 ) / (45 *32)
= ( 512 * 25 * 3 ) / ( 45 * 32 )
= ( 16 * 5 ) / ( 3 )
= 80 / 3
= 26 ( 2 / 3)
6. Solve the given expression
(8195 / 745) + ? * 12 = 7847
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Correct Ans:653
Explanation:
To find out the value of the expression
=> (8195 / 745) + ? * 12 = 7847
=> 11 + X * 12 = 7847
=> 11 + 12 X =7847
=> 12 X = 7847 - 11
=> 12 X = 7836
=> X = 7836 / 12
=> X = 653
7. Can you find the value for the expression:
(9 / 18) * (162 / 207) ÷ (554 / 294) + (79 / 100) = ?
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Correct Ans:1
Explanation:
Given expression is:
(9 / 18) * (162 / 207) ÷ (554 / 294) + (79 / 100) = ?
= (9 / 18) * (162 / 207) X (294 / 554) + (79 / 100)
= (1 / 2) * (18 / 23) X (147 / 277) + 0.79
= (9 / 23) X (147 / 277) + 0.79
= {(9 * 147) / (23 * 277)} + 0.79
= (1323 / 6371) + 0.79
= 0.21 + 0.79
= 1
Hence the answer is : (9 / 18) * (162 / 207) ÷ (554 / 294) + (79 / 100) = 1
8. Can you find the value for the expression:
(6859)^(1/3) * (50625)^(1/4) + 5^2 = ? * 5
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Correct Ans:62
Explanation:
Given expression is:
(6859)^(1/3) * (50625)^(1/4) + 5^2 = ? * 5
Since cuberoot of (6859) [i.e., (6859)^(1/3)] = 19
and (50625)^(1/4) = [(225)^2]^(1/4)
= [225]^(1/2)
= 15
Therefore, (6859)^(1/3) * (50625)^(1/4) + 5^2 = ? * 5
=> 19 * 15 + 5^2 = ? * 5
=> 285 + 25 = ? * 5
=> 310 = ? * 5
=> 310 / 5 = ?
=> 62 = ?
Hence the answer is : "62"
9. Can you find the value for the expression:
2Sqrt(2) * 3Sqrt(3) * 5Sqrt(2) * 9Sqrt(3) = ?
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Correct Ans:1620
Explanation:
Given expression is:
2Sqrt(2) * 3Sqrt(3) * 5Sqrt(2) * 9Sqrt(3) = ?
=> 2 * 3 * 5 * 9 [Sqrt(2)]^2 * Sqrt(3)^2 = ?
= 270 * [2] * [3]
= 270 * 6
= 1620
10. Can you find the value for the expression:
[(64)^1/2 ]^4.2 × (8)^4.2 × (7)^8.4 × (56)^4.3 = (56)^?
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Correct Ans:12.7
Explanation:
Given expression is:
[(64)^1/2 ]^4.2 × (8)^4.2 × (7)^8.4 × (56)^4.3 = (56)^?
=> [(8^2)^1/2 ]^4.2 × (8)^4.2 × (7)^8.4 × (56)^4.3 = (56)^?
=> [(8)]^4.2 × (8)^4.2 × (7)^8.4 × (56)^4.3 = (56)^?
=> (8)^{4.2 + 4.2} × (7)^8.4 × (56)^4.3 = (56)^?
=> (8)^8.4 × (7)^8.4 × (56)^4.3 = (56)^?
=> (8 * 7)^8.4 × (56)^4.3 = (56)^?
=> (56)^8.4 × (56)^4.3 = (56)^?
=> (56)^{8.4 + 4.3} = (56)^?
=> (56)^{12.7} = (56)^?
Thus the answer is : "12.7"
11. Can you find the value for the expression:
6 (1/3) + 4 (1/5) + 1 (3/7) – 2 (1/7) + 4 (2/5) × 3 (1/3) = ?
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Correct Ans:24 (17/35)
Explanation:
Given expression is:
6 (1/3) + 4 (1/5) + 1 (3/7) - 2 (1/7) + 4 (2/5) × 3 (1/3) = ?
= (19 / 3) + (21 / 5) + (10 / 7) - (15 / 7) + (22 / 5) * (10 / 3)
= (19 / 3) + (21 / 5) + [(10 - 15) / 7] + (44 / 3)
= (19 / 3) + (21 / 5) - (5 / 7) + (44 / 3)
= (19 + 44) / 3 + (21 / 5) - (5 / 7)
= (63 / 3) + (21 / 5) - (5 / 7)
= 21 + (21 / 5) - (5 / 7)
On taking L.C.M we get,
= (735 + 147 - 25) / 35
= 857 / 35
= 24 (17/ 35)
12. Can you find the value for the expression:
(âˆ›12167) × (âˆ›274625) × (âˆ›250047) = ?
SHOW ANSWER
Correct Ans:94185
Explanation:
Given expression is:
(âˆ›12167) × (âˆ›274625) × (âˆ›250047)=?
= (âˆ›12167) × (âˆ›274625) × (âˆ›250047)
= 23 × 65 × 63
= 94185
13. Can you find the value for the expression:
15×(1/4) + 32×(1/3) + 12×(3/4) × 7 × (1/17) = ? + 13×(1/4)
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Correct Ans:124 x (1/3)
Explanation:
Given expression is:
15×(1/4) + 32×(1/3) + 12×(3/4) × 7×(1/17) = ? + 13×(1/4)
=> (61 / 4) + (97 / 3) + (51 / 4) * (120 / 17) = ? + (53 / 4)
=> (61 / 4) + (97 / 3) + 90 = ? + (53 / 4)
=> (61 / 4) + (97 / 3) + 90 - (53 / 4) = ?
=> [(61 - 53) / 4] + (97 / 3) + 90 = ?
=> [8 / 4] + (97 / 3) + 90 = ?
=> 2 + (97 / 3) + 90 = ?
On taking L.C.M for left hand side, we get
=> (6 + 97 + 270) / 3 = ?
=> (373 / 3) = ?
=> 124 (1 / 3) = ?
Hence the answer is : "124 (1 / 3)"
14. Can you find the value for the expression:
143^2 + 188^2 + 201^2 - 142^2 - 186^2 - 199^2 = ?
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Correct Ans:1833
Explanation:
Given expression is:
143^2 + 188^2 + 201^2 - 142^2 - 186^2 - 199^2 = ?
= (143^2 – 142^2) + (188^2 – 186^2) + ( 201^2 – 199^2)
Using Formula: a^2 – b^2 = (a+b)(a-b), we have:
(143 + 142)(143 – 142) + (188 + 186)(188 – 186) + (201 + 199)(201 – 199)
= [285 x 1] + [374 x 2] + [400 x 2]
= 285 + 748 + 800
= 1833
15. Can you find the value for the expression:
(35)^2 / [(125)^ (1/3)] + (25)^2 / 125
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Correct Ans:250
Explanation:
Given expression is
(35)^2 / [(125)^ (1/3)] + (25)^2 / 125
= (1225 / 5) + (625 / 125)
= 245 + 5
= 250
16. Can you find the value for 'X' in the below expression:
[ {(144^ 2) / 48} * X] / 22 = 216
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Correct Ans:11
Explanation:
Given expression is
[ {(144^ 2) / 48} * X] / 22 = 216
=> [(20736 / 48) * X] / 22 = 216
=> [432 * X] / 22 = 216
=> 432 * X = 216 * 22
=> 432 * X = 4752
= X = 4752 / 432
=> X = 11
17. Can you find the value for the expression:
(9 / 13) of 221 + 1 (4 / 9) of 378 = 241 + ?
SHOW ANSWER
Correct Ans:458
Explanation:
Given expression is
( 9 / 13) of 221 + 1 ( 4 / 9 ) of 378 = 241 + ?
=> ( 9 / 13 ) * 221 + ( 13 / 9 ) * 378 - 241 = ?
= ( 9 * 17) + ( 13 * 42 ) - 241
= 153 + 546 - 241
= 699 - 241
= 458
18. Can you find the value for the expression:
5 + 55 + 555+ 5555 + 55555
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Correct Ans:61725
Explanation:
Given expression is
5 + 55 + 555+ 5555 + 55555
By adding each and every number together we get,
= 60 + 555 + 5555 + 55555
= 615 + 5555 + 55555
= 6170 + 55555
= 61725
19. Evaluate the expression: 12 / 4 + 12 / 3 + 20 - 24 / 4 + 1
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Correct Ans:22
Explanation:
20. Èvaluate the expression: 2 + 6 - 18 / 4 + 21 - 10 / 4 - 2
SHOW ANSWER
Correct Ans:20
Explanation:
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