2401. A and B can do a work in 8 days, 13, and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in_________?
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A. 6 days

B. 12 days

C. 8 days

D. 4 days

2402. The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is:
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A. Rs. 1575

B. Rs. 1386

C. Rs. 1764

D. Rs. 2268

2403. If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is:
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A. Rs. 18.33

B. Rs. 22

C. Rs. 20

D. Rs. 21.81

2404. If the true discount on s sum due 2 years hence at 14% per annum be Rs. 168, the sum due is:________?
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A. Rs. 968

B. Rs. 1960

C. Rs. 2400

D. Rs. 768
2405. A tradesman marks his goods 10% above his cost price. If he allows his customers 10% discount on the marked price. How much profit or loss does he make, if any ?
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A. 1% loss

B. No gain no loss

C. 1% gain

D. 5% gain

2406. The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is:
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A. 8 months

B. 10 months

C. 6 months

D. 9 months

2407. A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:
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A. 7.50%

B. 5%

C. 10%

D. 0%
2408. The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is:_________?
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A. 14%

B. 12%

C. 13%

D. 15%
2409. A man buys a watch for Rs. 1950 in cash and sells it for Rs. 2200 at a credit of 1 year. If the rate of interest is 10% per annum, the man:
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A. gains Rs. 50

B. loses Rs. 30

C. gains Rs. 30

D. gains Rs. 55

2410. The simple interest and the true discount on a certain sum for a given time and at a given rate are Rs. 85 and Rs. 80 respectively. The sum is:_______?
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A. Rs. 1360

B. Rs. 1450

C. Rs. 6800

D. Rs. 1800

2411. A man wants to sell his scooter. There are two offers, one at Rs. 12,000 cash and the other a credit of Rs. 12,880 to be paid after 8 months, money being at 18% per annum. Which is the better offer?
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A. Rs. 12,000 in cash

B. Rs. 12,880 at credit

C. Both are equally good

D. Rs. 18.33

2412. A shopkeeper marks his goods 20% above cost price, but allows 30% discount for cash payment. His net loss is ?
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A. 16%

B. 8%

C. 10%

D. 20%

2413. The interest on Rs. 750 for 2 years is the same as the true discount on Rs. 960 due 2 years hence. If the rate of interest is the same in both cases, it is:
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A. 12%

B. 16%

C. 15%

D. 14%
2414. A shopkeeper earns a profit of 10% after allowing a discount of 20% on the marked price. The cost price of the article whose marked price is Rs. 880, is =_______ ?
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A. Rs. 774

B. Rs. 680

C. Rs. 704

D. Rs. 640

2415. The marked price of a watch was Rs. 720. A man bought the same for Rs. 550.80, after getting two successive discounts, the first 10%. What was the second discount rate ?
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A. 12%

B. 18%

C. 14%

D. 15%
2416. The present worth of Rs. 1404 due in two equal half-yearly installments at 8% per annum simple interest is:
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A. Rs. 1325

B. Rs. 1500

C. Rs. 1350

D. Rs. 1300

2417. Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?
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A. Rs. 10.40

B. Rs. 15.20

C. Rs. 10

D. Rs. 13

2418. If a and b are the roots of the equation x<sup>2
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A. 21

B. 1

C. 61

D. -21

2419. I. a<sup>2
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A. If a ? b

B. If a < b

C. If a ? b.

D. If a > b

2420. I. a<sup>3
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A. If a > b

B. If a < b

C. If a ? b

D. If a ? b
2421. I. x<sup>2
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A. If x = y or the relationship between x and y cannot be established.

B. If x > y

C. If x ? y

D. If x < y

E. If x ? y

2422. I. 9a<sup>2
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A. If a ? b

B. If a ? b

C. If a < b

D. If a > b
2423. (i). a<sup>2
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A. if a < b

B. if a ? b

C. if the relationship between a and b cannot be established.

D. if a > b
2424. If the roots of a quadratic equation are 20 and -7, then find the equation?
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A. x2 13x 140 = 0

B. x2 + 13x 140 = 0

C. x2 + 13x + 140 = 0

D. x2 13x + 140 = 0

2425. Find the quadratic equations whose roots are the reciprocals of the roots of 2x<sup>2
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A. 3x<sup>2</sup> 5x + 2 = 0

B. 3x2+ 5x + 2 = 0

C. 3x<sup>2</sup> 5x 2 = 0

D. 3x<sup>2</sup>+ 5x 2 = 0

2426. Find the roots of quadratic equation: 3x<sup>2
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A. -6, 3

B. -5, 2

C. 3, -2/3

D. -9, 2

2427. (i). a<sup>2
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A. If a > b

B. If a < b

C. If a ? b

D. If the relationship between a and b cannot be established

2428. One root of the quadratic equation x<sup>2
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A. 7

B. 27

C. 28

D. 29

2429. I. x<sup>2
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A. If x ? y

B. If x ? y

C. If x < y

D. If x > y
2430. The roots of the equation 3x<sup>2
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A. real and equal

B. irrational and unequal

C. rational and unequal

D. complex

2431. I. x<sup>2
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A. If x < y

B. If x = y or the relationship between x and y cannot be established.

C. If x > y

D. If x ? y

E. If x ? y

2432. I. x<sup>2
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A. If x = y or the relationship between x and y cannot be established.

B. If x < y

C. If x ? y

D. If x > y

2433. Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x<sup>2
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A. 26

B. 14

C. 15

D. 24

2434. If the roots of the equation 2x<sup>2
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A. 6

B. 5

C. 4

D. 3
2435. I. a<sup>2
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A. If a > b

B. If the relationship between a and b cannot be established

C. If a ? b

D. If a < b
2436. Find the roots of the quadratic equation: x2 + 2x 15 = 0?
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A. -5, 3

B. 3, 5

C. -3, -5

D. -3, 5

2437. Find the roots of the quadratic equation: 22 + 3x 9 = 0?
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A. 3/2, -3

B. 3, -3/2

C. -3/2, -3

D. 3/2, 3

2438. The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?
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A. 11, 12

B. 10, 11

C. 12, 13

D. 9, 10
2439. Find the roots of quadratic equation: 2x<sup>2
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A. -2, 5/2

B. -2, -1/2

C. 4, 1

D. 4, -1

2440. Find the roots of quadratic equation: x<sup>2
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A. -7, 6

B. -6, 7

C. 14, -3

D. -8, 7

2441. A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook?
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A. 7.5

B. 8

C. 10

D. 15

2442. The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?
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A. 22, 24, 26

B. 24, 26, 28

C. 20, 22, 24

D. 18, 20, 22

2443. (i). a<sup>2
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A. If a < b

B. If a ? b

C. If the relationship between a and b cannot be established

D. If a ? b

2444. I. x<sup>2
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A. If x < y

B. If x ? y

C. If x ? y

D. If x > y

2445. The sum and the product of the roots of the quadratic equation x(power 2) + 20x + 3 = 0 are?
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A. -10, -3

B. -20, 3

C. -10, 3

D. 10, 3

2446. If in a box of dimensions 6 m * 5 m * 4 m smaller boxes of dimensions 60 cm * 50 cm * 40 cm are kept in it, then what will be the maximum number of the small boxes that can be kept in it?
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A. 600

B. 500

C. 900

D. 1000
2447. The area of the cardboard(in cm<sup>2
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A. 1390 cm2

B. 695 cm<sup>2</sup>

C. 1280 cm<sup>2</sup>

D. 1220 cm<sup>2</sup>

2448. A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is_________?
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A. 2:05

B. 1: 3

C. 3:01

D. 3:05

2449. The diameters of two spheres are in the ratio 1:2 what is the ratio of their surface area?
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A. 1:02

B. 2:01

C. 1:4

D. 4:01

2450. If the volume and surface area of a sphere is numerically the same then its radius is_________?
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A. 3 units

B. 4 units

C. 1 unit

D. 2 units