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Question 1 of 5
1. Question
The 6th and 20th terms of an AP are 8 and 20 respectively. Find the 30th term.
Correct
Answer : b
As we all know in AP series-
Nth term will be =a+(n-1)d,(where a-first term,n is total term,d is common difference),
6th term will be -a+(6-1)d
a+ 5d= 8 and a+ 19d=-20. Solving we get 14d=-28→d=-2.
30th term = 20th term + 10d =-20+10´ (-2) = -40. Option (b) is correct.
Incorrect
Answer : b
As we all know in AP series-
Nth term will be =a+(n-1)d,(where a-first term,n is total term,d is common difference),
6th term will be -a+(6-1)d
a+ 5d= 8 and a+ 19d=-20. Solving we get 14d=-28→d=-2.
30th term = 20th term + 10d =-20+10´ (-2) = -40. Option (b) is correct.
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Question 2 of 5
2. Question
How many terms are there in the AP 10, 15, 30,…..120?
Correct
Answer : c
In order to count the number of terms in the AP, use the shortcut:
[{last term-first term)/common difference]+1.In this case it would become:
[(120-10)/5]+1=23. Option (c ) is correct.
Incorrect
Answer : c
In order to count the number of terms in the AP, use the shortcut:
[{last term-first term)/common difference]+1.In this case it would become:
[(120-10)/5]+1=23. Option (c ) is correct.
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Question 3 of 5
3. Question
Find the number of terms of the series 1/27, 1/9, 1/3,….729
Correct
Answer : a
This is example of gp(geometric progression)series-
In this first term will be a,and common ratio will r,
So here u can find value of r=2nd term/1st term
=1/9/(1/27)
=3
Formula of nth term in gp=ar^n-1
729=1/27*(3)^n-1
R =3. 729 = 1/27(3)n-1,
(3)^9=(3)^n-1
n-1 =9 or n=10 option (a ) is correct
Incorrect
Answer : a
This is example of gp(geometric progression)series-
In this first term will be a,and common ratio will r,
So here u can find value of r=2nd term/1st term
=1/9/(1/27)
=3
Formula of nth term in gp=ar^n-1
729=1/27*(3)^n-1
R =3. 729 = 1/27(3)n-1,
(3)^9=(3)^n-1
n-1 =9 or n=10 option (a ) is correct
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Question 4 of 5
4. Question
If the fifth term of a G.P. is 80 and first term is 5, what will be the 4th term of the G.P.?
Correct
Answer : c
6r4 = 80 →r4 = 80/5 ® r =2. Thus, 4th term = ar3 = 5 (2)3 = 40. Option (c) is correct.
Incorrect
Answer : c
6r4 = 80 →r4 = 80/5 ® r =2. Thus, 4th term = ar3 = 5 (2)3 = 40. Option (c) is correct.
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Question 5 of 5
5. Question
Binay was appointed to Mindworkzz in the pay scale of 12000-1500-22,500. Find how many years he will take to reach the maximum of the scale.
Correct
Answer: a
12000 -1500-22500 means that the starting scale is 12000 and there is an increment of 1500 every year. Since, the total increment required to reach the top of his scale is 10500, the number of years required would be 10500/15 7. Option (a) is correct.
Incorrect
Answer: a
12000 -1500-22500 means that the starting scale is 12000 and there is an increment of 1500 every year. Since, the total increment required to reach the top of his scale is 10500, the number of years required would be 10500/15 7. Option (a) is correct.
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