Progression - Online Quiz



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Following quiz provides Multiple Choice Questions (MCQs) related to Progression. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Questions and Answers

Q 1 - The twelfth term of the A.P. 14, 9, 4, - 1, - 6....is:

A - - 36

B - - 14

C - - 46

D - - 41

Answer : D

Explanation

 Here a = 14, d = (9 - 14) = -5.
∴ T₁₂ = a + (12 -1) d = a + 11d = 14 + 11 * (-5) = -41.

Q 2 - In the event that 2x (x+10) and (3x +2) are in A.P. at that point x=?

A - 4

B - 5

C - 6

D - 8

Answer : C

Explanation

Since 2x, (x+10) and (3x+2) are in A.P. we have
(x+10)-2x = (3x+2)-(x+10) ⇒ 10-x =2x-8 ⇒ 3x= 18 ⇒ x= 6

Q 3 - What number between 200 and 600 are distinct by 4, 5, 6?

A - 5

B - 6

C - 7

D - 8

Answer : B

Explanation

LCM of 4, 5, 6 = 2*2*5*3 = 60
So, each one must be divisible by 60.
Requisite numbers are 240, 300, 360, 420, 480 and 540.
Their no. is 6.

Q 4 - What is the following number in the math movement 2, 5, 8....?

A - 7

B - 9

C - 10

D - 11

Answer : D

Explanation

This is an A.P. in which a = 2 and d = (5-2) =3.
∴ Next number= (8+3) =11.

Q 5 - What number of odd number pages arrives in a book of 1089 pages?

A - 542

B - 544

C - 545

D - 546

Answer : C

Explanation

The pages are 1, 3, 5, 7...,1089.
This is an A.P. in which a= 1, d = (3-1) = 2 and L = 1089.
Let the number of these term be n. then,
(a+ (n-1) d = 1089 ⇒ 1 + (n - 1)* 2 = 1089 ⇒ (n-1 ) * 2 = 1088
n-1 =544⇒ n = 545.
∴ Required number of pages=545.

Q 6 - What number of term of the series 3,9,27 ... will mean 363?

A - 5

B - 6

C - 7

D - 8

Answer : A

Explanation

Given series is a G.P. in which a =3, r= 3 and Sn =363
∴ Sn = a (rⁿ-1)/(r-1) ⇒ 3*(3ⁿ-1)/ (3-1) = 363 ⇒ 3ⁿ-1 = 363*2/3 = 242
3ⁿ= 243 = 3⁵⇒ n =5

Q 7 - Three numbers are in G.P. Their whole is 28 and item is 512. The numbers are:

A - 2,6,18

B - 2,8,16

C - 4,8,16

D - 6,9,13

Answer : C

Explanation

Let the number be a/r, a, ar.
Then, a/r* a*ar = 512 ⇒ a3 =83 ⇒ a =8
8/r+8+8r =28 ⇒ 8/r +8r =20 ⇒ 2/r+2r =5
⇒ 2r2-5r+2 =0 ⇒ 2r2-4r-r+2 =0
⇒ 2r (r-2)- (r-2)=0   ⇒ (r-2)(2r-1) =0
⇒r = 2 or r = 1/2
Numbers are 4,8, 16.

Q 8 - A clock hums 1 time at 1o, clock, 2 times at 2o, clock, 3 times at 3o, clock etc. What will be the aggregate quantities of hums in a day?

A - 100

B - 150

C - 156

D - None of these

Answer : C

Explanation

Total number of buzzes =2 (1+2+3+..........+12).
This is an A.P. in which a=1, d=1, n = 12 and L = 12.
(1+2+3+ .........+12) = 12/2* (1+12) = 78.
∴ Total number of buzzes = (2 * 78) = 156.

Q 9 - In the event that (12 + 22 + 32+ ......... + x2) = x(x+1) (2x+1)/6, then (12 + 32+ 52 + ...... + 192) =?

A - 1330

B - 2100

C - 2485

D - 2500

Answer : A

Explanation

(12+ 32+52+..........+192) = (12+22+32+42+52+........+182+192) - (22+42+62+.........+182)
 = {19*(19+1) (38+1)/6} - (1*22+22*22+22*32+22*42+???. +22*92)
= 2470 -22*{12+22+32+... +92} = 2470 - (4*9*10*19)/6= (2470-1140) =   1330


aptitude_progression.htm

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