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- Question
If p and q are the roots of the equation x2 ?15x + r = 0 and p ?q = 1, then what is the value of r ?
Options- A. 55
- B. 56
- C. 60
- D. 64
- Correct Answer
- 56
ExplanationIn the below equation,
x2?15x + r = 0
sum of roots = p + q = -(-15)/1 = 15 (sum of roots for equation ax2+ bx + c is -b/a)
product of roots = pq = r/1 = r (product of roots for equation ax2+ bx + c is c/a)
given p ?q = 1
also we know that p+q = 15
subtracting the squares of both
(p+q)2 + (p-q)2 = 15^2?1
p2 + q2 + 2pq ?p2 ?q2 +2pq = 225 -1
4pq = 224
4r = 224
r = 56
- 1. x% of y is y% of?
Options- A. x
- B. 100x
- C. x/100
- D. y/100 Discuss
- 2. If 37 1/ 2% of a number is 900,then 62 1/ 2% of the number is?
Options- A. 1200
- B. 1350
- C. 1500
- D. 540 Discuss
- 3. Subtracting 6% of A from A is equivalent to multiplying A by how much?
Options- A. 0.94
- B. 9.4
- C. 0.094
- D. 94 Discuss
- 4. The price of rice has increased by 60%. In order to restore to the original price, the new price must be reduced by?
Options- A. 331/3%
- B. 371/2%
- C. 40%
- D. 45% Discuss
- 5. ? (3.6% of 40) is equal to?
Options- A. 2.8
- B. 1.8
- C. 1.2
- D. None of these Discuss
- 6. A student is required to secure at least 50% marks in order to pass an examination. He secured 50 marks which were less than the minimum passing marks by 50. The maximum marks of the paper are?
Options- A. 200
- B. 250
- C. 275
- D. 300 Discuss
- 7. A furniture seller sells two tables at ? 1500 each. He earned a profit of 20% on one table and suffered a loss of 20% on the another table. Net profit or loss in this deal is?
Options- A. 4% loss
- B. 4% profit
- C. 10% loss
- D. 10% profit Discuss
- 8. What is 5% of 50% of 500?
Options- A. 12.5
- B. 25
- C. 1.25
- D. 6.25 Discuss
- 9. 25% of what amount of money is equal to 12 1/ 2 of ? 180?
Options- A. ? 120
- B. ? 75
- C. ? 80
- D. ? 90 Discuss
- 10. The monthly income of a person is ? 5000. If his income is increased by 30% then what is his monthly income now?
Options- A. ? 7000
- B. ? 5500
- C. ? 4500
- D. ? 6500 Discuss
More questions
Correct Answer: x
Explanation:
Let x% of y = y% of A, then
? xy / 100 = yA/100
? A = (xy/100) x (100/y) = x
Correct Answer: 1500
Explanation:
Let 371/2% of A = 900
? {(75/2) x A} x 100 = 900
? A = (900 x 2 x 100) / 75 = 2400
So, 621/2% of A = (125/2) x (1/100) x 2400 =1500
Correct Answer: 0.94
Explanation:
Let A - 6% of A = AB.
? (94 x A) / 100 = AB
? B = 0.94
Correct Answer: 371/2%
Explanation:
Let original price = Rs. 100
? Increase price = Rs. 160
? Decrease on Rs. 160 = Rs. 60
? Decrease on Rs. 100 = (60/160) x 100 % = 371/2%
Correct Answer: 1.2
Explanation:
?(3.6/100) x 40
= ?1.44 = 1.2
Correct Answer: 200
Explanation:
Minimum passing marks = 50 + 50 = 100
Let the total marks = x
Then, 50% of x = 100
? x = (100/50) x 100 = 200
Correct Answer: 4% loss
Explanation:
Profit or loss percent = ab/100 %
= (20 x 20)/100 %
= -4%
Correct Answer: 12.5
Explanation:
5% of 50% of 500
= (5/100) x (50/100) x 500
= 12.5
Correct Answer: ? 90
Explanation:
Let the required amount of money be N.
Then, N x 25% = 180 x 121/2%
? N = (180 x 12.5)/25
= ? 90
Correct Answer: ? 6500
Explanation:
Monthly income of a person = ? 5000
Increment in income = (30/100) x 5000 = 1500
New income = 5000 + 15000 = ? 6500
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