## Applications of Progressions- Basic

For example , when you are waiting for a bus. Assuming that the traffic is moving at a constant speed you can predict the when the next bus will come. If you ride a taxi, this also has an arithmetic sequence. Once you ride a taxi you will be charge an initial rate and then a per mile or per kilometer charge.

Q1.  a, b, c are three positive numbers and abc2 has the greatest value 1/64. Then

•   a = b = c = 1/4
•  a = b = 1/4 , c = 1/2
•  a = 1/2 , b = 1 , c = 1
•   None of these

a = b = 1/4 , c = 1/2

Q2.  Jairam purchased a house in Rs. 15000 and paid Rs. 5000 at once. Rest money he promised to pay in annual installment of Rs. 1000 with 10% per annum interest. How much money is to be paid by Jairam

•  21100
•  21165
•  20500
•  28800

20500

Q3. The sum of the integers from 1 to 100 which are not divisible by 3 or 5 is

•   2601
•  2901
•  2336
•   2632

2632

Q4.  The product of n positive numbers is unity. Their sum is

•   Greater than n
•   Equal to n
•  Divisible by n
•  Never less than n

Never less than n

Q5.  The sum of all positive divisors of 960 is

•  3048
•  3002
•  3336
•  None of these

Only for shelter (support)

Q6.  If the altitudes of a triangle are in A.P., then the sides of the triangle are in

•  A.P.
•  H.P.
•  G.P.
•  Arithmetico-geometric progression

H.P.

Q7.  A boy goes to school from his home at a speed of x km/hour and comes back at a speed of y km/hour, then the average speed is given by

•   A.M.
•  G.M.
•  H.M.
•  None of the above

H.M.

Q8.  A monkey while trying to reach the top of a pole height 12 metres takes every time a jump of 2 metres but slips 1 metre while holding the pole. The number of jumps required to reach the top of the pole, is

•  12
•  8
•   11
•  10

11

Q9.  Balls are arranged in rows to form an equilateral triangle. The first row consists of one ball, the second row of two balls and so on. If 669 more balls are added then all the balls can be arranged in the shape of a square and each of the sides then contains 8 balls less than each side of the triangle did. The initial number of balls is

•  1680
•   1580
•   1540
•  1600

Tropical forests

Q10.  In the value of 100 ! the number of zeros at the end is

•  32
•  12
•  16
•   24

24

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