Progression - Online Quiz

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.
Q 1 - The sixteenth term of the A.P. 3, 5, 7,9,11.....is
A - 48
B - 50
C - 33
D - 35
 Here a = 3 and d= (5-3) = 2
∴ T16 = a+ (16-1) d = a + 15d= (3 + 15*2) = 33.
Q 2 - What number of numbers arrive somewhere around 10 and 200 which are precisely separable by 7?
A - 21
B - 23
C - 25
D - 27
Requisite numbers are 14, 21, 28, 35 .., 196.
This is an A.P. in which a = 14 and d = 7
a +(n-1) d = 196 ⇒  14+(n-1)*7 =196
= (n-1)*7 = 182 ⇒ (n-1) = 26 ⇒ n = 27.
Q 3 - On the off chance that the tenth term of the succession, a - b, a-2b, a-3b ...is 20 and its twentieth term is 10, then its xth term is:
A - 10-x
B - 20-x
C - 29-x
D - 30-x
This is an A.P. in which A = a and d = (a-b) -a = -b
T10 = 20 ⇒ a+9d = 20 ⇒ a+9*)-b) =20⇒a-9b=20 ... (i)
T20 =10⇒ a+19d = 10 ⇒ a+19*(-b) =10⇒a-19b=10 ... (ii)
On subtracting (ii) from (i) we get 10b = 10 ⇒ b=1
Putting b= 1 in (i) we get a-9*1=20 ⇒ a =29.
∴ xth term = a + (x-1) *d=29+ (x-1) * (-b)
= 29 + (x-1) * (-1) = (30-x).
Q 4 - The total 5+6+7+8+.....+19=?
A - 150
B - 170
C - 180
D - 190
This is an A.P. in which a = 5, d =1 and L=19.
Let the number of its term be n. Then,
Tṇ = 19 ⇒ a + (n-1) d =19
⇒ 5 + (n-1) * 1 = 19 ⇒ (n-1) =14 ⇒ n= 15.
∴ Sṇ = n/2 * (a+L) = 15/2 *(5+19) = 180.
Q 5 - What number of odd number pages arrives in a book of 1089 pages?
A - 542
B - 544
C - 545
D - 546
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 - Which term of the G.P. 5,10,20,40 ...is 1280?
A - Eighth
B - ninth
C - tenth
D - eleventh
Let Tn = 1280. Then ar (n−i) = 1280 ⇒ Here a= 5 and r =2
∴ 5*2(n−i) =1280 ⇒256 = 2(n−i) =28 ⇒ n-1 =8 ⇒ n= 9
Q 7 - In the event that a ≠b, Then which of the accompanying proclamations is valid?
A - a+b/2= √ab
B - a+b/2< √ab
C - a+b/2> √ab
D - All of these
For any two unequal numbers a and b, we have (A.M).> (g.m)
∴   (a+b)/2 > √ab
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
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 - The number of inhabitants in microbes, society copies ever 2 minutes. How long will it take for the populace to develop from 1000 to 512000 microbes?
A - 10
B - 12
C - 14
D - 18
Let the growth be 1000, 2000, 4000 ...512000.
This is a G.P. in which a = 1000, r = 2 and tn = 512000
Tn = ar&n-1 ⇒ 1000*2 &n-1 = 512000⇒ 2 &n-1 = 512= 29 ⇒ (n-1) = 9.
∴ Time taken = (2*9) min = 18 min.

    87 Lectures 
     22.5 hours 

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