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I. x2 – 18x + 65 = 0
II. y2 + 10y – 75 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y
I. x2 – 8x + 12 = 0
II. y2 - 7y + 10 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y
I. x2 – 17x + 70 = 0
II. y2 – 21y + 110 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y
I. x2 – 17x + 70 = 0
II. y2 – 21y + 110 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y
I. x2 – 16x + 28 = 0
II. y2 + 11y – 26 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y
I. x2 – 16x + 63 = 0
II. y2 + 7y – 120 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y
I. x2 – 15x + 36 = 0
II. y2 + 6y – 16 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y
I. x2 – 24x + 135 = 0
II. y2 + 3y – 88 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y
I. x2 – 24x + 80 = 0
II. y2 + 13y – 68 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y
Q12.) Ramu marked up the price of article A and article B both 20% above the cost price. The cost price of article A is double that of article B. At the time of sale Ramu gave a total discount of ₹120 on both the articles and earned 10% profit on total. Find the cost price of article of article A?
A. 200
B. 275
C. 320
D. 400
E. None of these
Q11.) A invested ₹20,000 and ₹25,000 at simple interest with rate of interest as (x + 5)% and (x +9)% per annum for a period of (x+2) and (x+5) years in scheme P and scheme Q respectively. If the interest earned by him on scheme P is one-third of the interest earned on scheme Q then find the value of x.
A. 4
B. 3
C. 5
D. 2
E. None of these
Q10.) The difference between simple and compound interest on a sum of ₹1000 at the end of two years was ₹10. Find the total CI on the sum after 3 years.
A. ₹331
B. ₹334
C. ₹567
D. ₹441
E. None of these
Q9.) The weights of A, B and C are in the ratio of 5:2:3. Find the weight of C if the difference between A’s and B’s weight is 27kg.
A. 26 kg
B. 24 kg
C. 27 kg
D. 28 kg
E. 29 kg
Q8.) A can complete a given task in 20 days, while B is twice as efficient as A. A started on the work initially, and was joined by B after a few days. If the whole work was completed in 8 days, after how many days, from the time A started
working, did B join A?
A. 5 days
B. 3 days
C. 7 days
D. 2 days
E. None of these
Q7.) A shopkeeper purchases an artefact and marks its price up by 20%. He sells the artefact to a customer at a certain discount, thereby making a profit of 5% on the whole transaction. What is the discount % given by the shopkeeper?
A. 9%
B. 7 𝟏/𝟐%
C. 12 𝟏/𝟐%
D. 13%
E. 10%
Q6.) The ratio of the ages of the father and mother was 9: 8 when their son was born. The ratio of the ages of the father and mother will be 17: 16 when the son will be twice his present age. What is the ratio of the present age of father to that of mother?
A. 15:14
B. 16:15
C. 13:12
D. 10:9
E. None of these
Q5.) Train A crosses a pole in 40 seconds and another Train B crosses it in 50 seconds. The length of Train A is 1/3 of the length of Train B. What is the ratio of the speed of Train A to that of Train B?
A. 5:12
B. 5:3
C. 7:4
D. 13:7
E. 11:5
Q4.) Sunil and Ravish, two shopkeepers, buy an article for ₹800 and ₹1600 respectively. Ravish marks his article up by x% and offers a discount of x/2%, while Sunil also marks his article up by x/2% but does not offer any discount. If both of them earn the same profit, what is the value of x?
A. 60%
B. 45%
C. 72%
D. 50%
E. None of these
Q3.) A chemist has 20 litres of a solution that has 20% sulphoric acid by volume. He wants to dilute the solution to 5% strength by adding water. How many litres of water must be added?
A. 45
B. 52
C. 60
D. 58
E. None of these
Q2.) Some amount out of ₹5000 was lent at 10% per annum and the rest at 20% per annum, and thus in 2 years the total simple interest from both the amounts collected was ₹1700. What is the amount which was lent out at 10% per annum?
A. ₹1500
B. ₹1345
C. ₹1900
D. ₹2100
E. None of these
