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- Question
- If a/b = 1/3, then (3a + 2b) / (3a - 2b) is equal to?
Options- A. 3
- B. -3
- C. -5
- D. -1
- Correct Answer
- -3
ExplanationGiven expression = (3a + 2b) / (3a - 2b)
= [3(a/b) + 2] / [3(a/b) - 2]
= [3 x 1/3 + 2] / [3 x 1/3 - 2]
= 3 / -1
=-3 - 1. 4 2/ 17 ÷ 1 2/ 5 x 2 2/ 33 =?
Options- A. 42/13
- B. 62/33
- C. 61/11
- D. 81/11 Discuss
- 2. (885 x 885 x 885 + 115 x 115 x 115) / (885 x 885 + 115 x 115 - 885 x 115) is equal to?
Options- A. 115
- B. 770
- C. 885
- D. 1000 Discuss
- 3. 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
- 4. 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
- 5. 50 /? =? / 12 1/ 2
Options- A. 25/2
- B. 4/25
- C. 4
- D. 25 Discuss
- 6. When Simplified, the product (2 - 1/3) (2 - 3/5) (2 - 5/7) ... (2 - 999/1001) is equal to?
Options- A. 991/1001
- B. 1001/13
- C. 1003/3
- D. None of these Discuss
- 7. How many 1/8's are there in 37 1/ 2?
Options- A. 300
- B. 400
- C. 500
- D. Cannot be determined Discuss
- 8. 3/48 is what part of 1/12?
Options- A. 3/7
- B. 1/12
- C. 4/3
- D. None of these Discuss
- 9. A boy was asked to multiply a given number by (8/17). Instead he divided the given number by (8/17) and got the result 225 more then what he should have got if he had multiplied the number by ( 8/17). The given number was?
Options- A. 8
- B. 17
- C. 64
- D. 136 Discuss
- 10. In an examination, a student was asked to find (3/14) of a certain number, by mistake he found (3/4) of it. His answer was 150 more then the correct answer. The given number is?
Options- A. 180
- B. 240
- C. 280
- D. 290 Discuss
Simplification problems
Search Results
Correct Answer: 62/33
Explanation:
Give expression
= 70/17 ÷ 7/5 x 68/33
= 70/17 x 5/7 x 68/33
= 200/33
= 62/33
Correct Answer: 1000
Explanation:
Given expression = (a3 + b3) / (a2 + b2 - ab)
= (a + b)(a2 + b2 - ab) / (a2 + b2 - ab)
= (a + b) = (885 + 115)
= 1000
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 ]
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: 25
Explanation:
Let 50 / N = N / (25/2)
? N2 = 50 x 25/2 = 625
? N = ?625 = 25
Correct Answer: 1003/3
Explanation:
Given expression = 5/3 x 7/5 x 9/7 x ... x 1003/1001
= 1003/3
Correct Answer: 300
Explanation:
Number of 1/8 s = (75/2) / (1/8) = (75/2) x 8 = 300
Correct Answer: None of these
Explanation:
Let N of 1/12 = 3/48.
Then, N = 3/48 x 12 = 3/4
Correct Answer: 136
Explanation:
? N x 17/8 - N x 8/17 =225
? 225 x N / 136 = 225
? N = (225 x 136) / 225 = 136
Correct Answer: 280
Explanation:
? 3N/4 - 3N/14 =150
? 15N/28 = 150
? N = (150 x 28) /15 = 280
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