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- Question
- 5/6 ÷ 6/7 x? - 8/9 ÷ 1 3/ 5 + 3/4 x 3 1/ 3 = 2 7/ 9
Options- A. 7/6
- B. 6/7
- C. 1
- D. None of these
- Correct Answer
- 6/7
ExplanationLet 5/6 ÷ 6/7 x N - 8/9 ÷ 8/5 + 3/4 x 10/3 = 25 / 9
Then, 5/6 x 7/6 x N - 8/9 x 5/8 + 5/2 = 25/9
? 35N / 36 = 25/9 + 5/9 - 5/2
? 35N / 36 = (50 + 10 - 45) / 18 = 5/6
? N = (5/6 x 36/35) = 6/7 - 1. 3/4 ÷ 2 1/ 4 of 2/3 - [(1/2 - 1/3) / (1/2 + 1/3) x 3 1/ 3 + 5/6 =?
Options- A. 7/18
- B. 49/54
- C. 2/3
- D. 1/6 Discuss
- 2. {7 1/ 2 + 1/2 ÷ 1/2 of 1/4 - 2/5 x 2 1/ 3 ÷ 1 7/ 8 of (1 2/ 5 - 1 1/ 3) } =?
Options- A. 31/5
- B. 21/24
- C. 41/30
- D. None of these Discuss
- 3. 3 ÷ [(8 - 5) ÷ {(4 - 2) ÷ (2 + 8/13)}] =?
Options- A. 13/17
- B. 68/13
- C. 17/13
- D. 13/68 Discuss
- 4. (343 x 343 x 343 + 257 x 257 x 257 ) / (343 x 343 - 343 x 257 + 257 + 257) =?
Options- A. 8600
- B. 800
- C. 600
- D. 2600 Discuss
- 5. (117 x 117 x 117 - 98 x 98 x 98) / (117 x 117 + 117 x 98 + 98 x 98) =?
Options- A. 215
- B. 311
- C. 19
- D. 29 Discuss
- 6. 15 2/ 3 x 3 1/ 6 + 6 1/ 3 = 11 7/ 18 +?
Options- A. 395/9
- B. 1374/9
- C. 297/9
- D. None of these Discuss
- 7. 7 1/ 2 - [ 2 1/ 4 ÷ { 1 1/ 4 - 1/2(1 1/ 2 - 1/3 - 1/6)}] is equal to?
Options- A. 2/9
- B. 1
- C. 41/2
- D. 177/288 Discuss
- 8. 50 /? =? / 12 1/ 2
Options- A. 25/2
- B. 4/25
- C. 4
- D. 25 Discuss
- 9. If x/y = 4/5, then the value of 4/7 + (2y - x)/(2y + x) is?
Options- A. 3/7
- B. 1
- C. 11/7
- D. 2 Discuss
- 10. If x/2y = 3/2, the value of (2x + y) / (x - 2y) equals?
Options- A. 1/7
- B. 7
- C. 7.1
- D. None of these Discuss
Simplification problems
Search Results
Correct Answer: 2/3
Explanation:
Given expression = 3/4 ÷ 9/4 of 2/3 - [(1/6) / (5/6)] x 10/3 + 5/6
= 3/4 x 2/3 - 1/6 x 6/5 x 10/3 + 5/6
= 1/2 - 2/3 + 5/6
= (3 - 4 + 5) / 6
= 4 / 6
= 2 /3
Correct Answer: 41/30
Explanation:
Given expression = 15/2 + 1/2 ÷ 1/8 - 2/5 x 7/3 ÷ 15/8 x (7/5 - 4/3)
= 15/2 + 4 - 2/5 x 7/3 ÷ 15/8 x 1/15
= 15/2 + 4 - 2/5 x 7/3 ÷ 1/8
= 15/2 + 4 - 2/5 x 7/3 x 8/1
= 15/2 + 4 - 112/15
= 23/2 - 112/15
= 121/30
= 41/30
Correct Answer: 13/17
Explanation:
Given expression = 3 ÷ [(8 - 5) ÷ {(4 - 2) ÷ (2 + 8/13)}]
= 3 ÷ [3 ÷ { 2 ÷ 34/13}]
= 3 ÷ [3 ÷ { 2 x 13/34}]
= 3 ÷ [ 3 x 17/13]
= 3 x 13/51
= 13/17
Correct Answer: 600
Explanation:
Given Exp. = ( a3 + b3 ) / ( a2 - ab + b2 ), where a =3 42, b = 257
= [(a + b )(a2 - ab +b2)] / (a2 - ab + b2)
= a + b
= 343+257
= 600.
Correct Answer: 19
Explanation:
Given expression = (a3 - b3) / (a2 + ab + b2), where a=117, b =98
= [(a-b)(a2 + ab + b2)] / (a2+ab+b2)
=(a-b)
=117 - 98
= 19.
Correct Answer: None of these
Explanation:
Let 47/3 x 19/6 + 19/3 = 205 / 18 + N
Then, N = 893/18 + 19/3 - 205/18
? N = 893 + 114 - 205 / 18
? N = 802 / 18 = 445/9
Correct Answer: 41/2
Explanation:
Given expression = 15/2 -[9/4 ÷ {5/4 - 1/2(3/2 - 1/3 - 1/6)}]
= 15/2 -[9/4 ÷ {5/4 - 1/2 x 1}]
= 15/2 -[9/4 ÷ {5/4 - 1/2}]
= 15/2 -[9/4 ÷ 3/4] = 15/2 - [9/4 x 4/3]
= (15/2 - 3)
= 9 / 2 = 41/2
Correct Answer: 25
Explanation:
Let 50 / N = N / (25/2)
? N2 = 50 x 25/2 = 625
? N = ?625 = 25
Correct Answer: 1
Explanation:
Given Exp. = 4/7 + (2y - x)/(2y + x)
= 4/7 + [(2 - (x/y)] / [2 + (x/y)]
= 4/7 + [2 - 4/5] / [2 + 4/5]
= 4/7 + ( 6/5 x 5/14 )
= 4/7 + 3/7
= 1
Correct Answer: 7
Explanation:
Given expression = 2x + y / x - 2y
Dividing Num and Denom by y we get.
= [2(x/y) + 1] / [(x/y) - 2] = (2 x 3 + 1) / (3 - 2) = 7/1 = 7
[ ? x/2y = 3 / 2 ?x/y = (3 / 2 x 2) = 3 ]
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