CAT - XAT - TANCET Preparation : April 2003

1. April 01, 2003 ›  A square sheet of paper is converted into a cylinder by rolling it along its length. What is the ratio of the base radius to the side of the square?
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2. April 02, 2003 ›  A railway half ticket costs half the full fare and the reservation charge is the same on half ticket as on full ticket. One reserved first class ticket from Chennai to Trivandrum costs Rs. 216 and one full and one half reserved first class tickets cost Rs. 327. What is the basic first class full fare and what is the reservation charge?
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3. April 03, 2003 ›  Find the G.C.D of 12x²y³z², 18x³y²z⁴, and 24xy⁴z³
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4. April 04, 2003 ›  The sum of the three numbers in A.P is 21 and the product of their extremes is 45. Find the numbers.
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5. April 07, 2003 ›  Find the area of the sector covered by the hour hand after it has moved through 3 hours and the length of the hour hand is 7cm.
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6. Arpil 08, 2003 ›  A man and a woman 81 miles apart from each other, start travelling towards each other at the same time. If the man covers 5 miles per hour to the women's 4 miles per hour, how far will the woman have travelled when they meet?
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7. Arpil 09, 2003 ›  The 7^th digit of (202)³ is
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8. Arpil 10, 2003 ›  There are 12 yes or no questions. How many ways can these be answered?
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9. Arpil 11, 2003 ›  Find the equation of a line whose intercepts are twice of the line 3x - 2y - 12 = 0
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10. Arpil 15, 2003 ›  If one of the roots of the quadratic equation 2x² - 7x + q = 0 is 3. Find the other root
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11. Arpil 16, 2003 ›  The monthly salaries of two persons are in the ratio of 4:7. If each receives an increase of Rs.25 in the salary, the ratio is altered to 3: 5. Find their respective salaries.
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12. Arpil 17, 2003 ›  Find the remainder when the polynomial x⁴ - 3x² + 7x - 10 is divided by x - 2
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13. Arpil 21, 2003 ›  Obtain the sum of all positive integers up to 1000, which are divisible by 5 and not divisible by 2.
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14. Arpil 22, 2003 ›  The speed of a motor boat itself is 20 km/h and the rate of flow of the river is 4 km/h. Moving with the stream the boat went 120 km. What distance will the boat cover during the same time going against the stream?
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15. Arpil 23, 2003 ›  A candidate who gets 20% marks fails by 10 marks but another candidate who gets 42% marks gets 12% more than the passing marks. Find the maximum marks.
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16. Arpil 24, 2003 : Inequalities ›  Find the range of real values of x satisfying the inequalities 3x - 2 > 7 and 4x - 13 > 15.
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17. Arpil 25, 2003 ›  10²⁵ - 7 is divisible by
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18. Arpil 28, 2003 ›  Two friends A and B run around a circular track of length 510 metres, starting from the same point, simultaneously and in the same direction. A who runs faster laps B in the middle of the 5^th round. If A and B were to run a 3 km race long race, how much start, in terms of distance, should A give B so that they finish the race in a dead heat?
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19. Arpil 29, 2003 ›  If apples are bought at the rate of 30 for a rupee. How many apples must be sold for a rupee so as to gain 20%?
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20. Arpil 30, 2003 ›  How many ways can 4 prizes be given away to 3 boys, if each boy is eligible for all the prizes?
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