Progressions - Aptitude 1 MCQ Questions and Solutions (Ap and Gp )

1. If four numbers in A.P. are such that their sum is 50 and the greatest number is 4 times the least, then the numbers are

• 3,5,6,8
• 5,10,15,20
• 20,30,40,50
• 3,6,8,10

Answer - [5,10,15,20 ]

2. If the first term of an A.P. is 2 and common difference is 4, then the sum of its 40 term is:

• 4450
• 3200
• 450
• 7680

Answer - [ 3200 ]

3.  The common difference of an A.P., the sum of whose n terms is S_n, is:

• Sn - 2Sn - 1 + Sn - 2
• Sn - Sn - 1
• 
  
• Sn - Sn - 2
• 
  
• Sn - 2Sn - 1 - Sn - 2

Answer - [ a ]

4. Two A.P.’s have the same common difference. The first term of one of these is 8 and that of the other is 3. The difference between their 30^th terms is:

• 4
• 5
• 17
• 10

Answer - [5 ] 

5. If the n^th term of an A.P. is 2n + 1, then the sum of first n terms of the A.P. is:

• n(n+2)
• n(n-2)
• n+2
• n+1

Answer - [ n(n+2) ]

6. If the sum of n terms of an A.P. be 3n² + n and its common difference is 6, then its first term is:

• 3
• 4
• 5
• 1

Answer - [ 4 ]

7.  How many terms are there in 20, 25, 30......... 140?

• 34
• 25
• 13
• 44

Answer - [ 25 ]

8. Find the first term of an AP whose 8^th and 12^th terms are respectively 39 and 59.

• 2
• 4
• 5
• 6

Answer - [4 ]

9.  Find the 15^th term of the sequence 20, 15, 10 . . . . 

• -20
• -30
• -50
• 1

Answer -  [-50 ]

10. The sum of the first 16 terms of an AP whose first term and third term are 5 and 15 respectively is :

• 535
• 565
• 680
• 683

Answer - [ 680 ]

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