Progressions - Aptitude MCQ Questions and Solutions

   

11 . A boy agrees to work at the rate of one rupee on the first day, two rupees on the second day, and four rupees on third day and so on. How much will the boy get if he started working on the 1st of February and finishes on the 20th of February? 220 -1 220 219 219 -1 Answer  - [ 220 -1]

12. If the fifth term of a GP is 81 and first term is 16, what will be the 4^th term of the GP?

• 45
• 34
• 54
• 59

Answer  -[ 54 ]

13. The 7^th and 21^st terms of an AP are 6 and -22 respectively. Find the 26^th term?

• -32
• -43
• -54
• 45

Answer - [ -32 ]

14 . After striking the floor, a rubber ball rebounds to 4/5^th of the height from which it has fallen. Find the total distance that it travels before coming to rest if it has been gently dropped from a height of 120 metres:

• 1040 m
• 1020 m
• 1080 m
• 4590 m

Answer - [ 1080 m ]

15.  A bacteria gives birth to two new bacteria in each second and the life span of each bacteria is 5 seconds. The process of the reproduction is continuous until the death of the bacteria. initially there is one newly born bacteria at time <b>t = 0</b>, the find the total number of live bacteria just after 10 seconds :

• 243 × (35 -1)
• 
  
• 310 - 210

Answer- [ A ]

16. A square is drawn by joining the mid points of the sides of a given square in the same way and this process continues indefinitely. If a side of the first square is 4 cm, determine the sum of the areas all the square.

• 32 cm sq
• 43 cm sq
• 21 cm sq
• 20 cm sq

Answer - [ 32 cm sq ]

17 . The first term of an Arithmetic Progression is 22 and the last term is -11. If the sum is 66, the number of terms in the sequence are:

• 46
• 12
• 9
• 7

Answer - [ 12 ]

18 . find the n^th term of the following sequence : 5 + 55 + 555 + . . . . T_n

• 59×(10n   −1)

• 4
• 5(10n - 1)
• 
  
• 5n(10n - 1) 

Answer - [ A ]

19. The 2^nd and 8^th term of an arithmetic progression are 17 and -1 respectively. What is the 14^th term?

• -19
• -78
• -12
• -59

Answer -[ -19 ]

20.  The 2^nd and 6^th term of an arithmetic progression are 8 and 20 respectively. What is the 20^th term?

• 78
• 62
• 98
• 56

Answer - [ 62 ]