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All questions of July Week 1 for Class 10 Exam
The 6th term from the end of the AP: 5, 2, -1 , -4 , . . . , -31 is
- a)-16
- b)-19
- c)-22
- d)-25
Correct answer is option 'A'. Can you explain this answer?
The 6th term from the end of the AP: 5, 2, -1 , -4 , . . . , -31 is
a)
-16
b)
-19
c)
-22
d)
-25
|
Let's Tute answered |
The given AP is 5, 2, -1, -4 ... ...., -31
d = 2 - 5 = -3, so d for the AP starting from the last term is 3.
The first term = l = -31
We know, an = a+(n−1)d
a6 from the end = −31+(5)3
a6 from the end = −16
d = 2 - 5 = -3, so d for the AP starting from the last term is 3.
The first term = l = -31
We know, an = a+(n−1)d
a6 from the end = −31+(5)3
a6 from the end = −16
Which term of the AP : 21, 42, 63, 84, ... is 210 ?
- a)9th
- b)10th
- c)11th
- d)12th
Correct answer is option 'B'. Can you explain this answer?
Which term of the AP : 21, 42, 63, 84, ... is 210 ?
a)
9th
b)
10th
c)
11th
d)
12th
|
|
Priyanshu Intelligent answered |
Here , a=21 and d = 42-21 = 21
Since, a+(n-1) d = an
Then , 210 = 21+(n-1)*21
210 = 21 + 21n - 21
21n = 210
n = 10.
Therefore, 10 th term of this AP is 210.
Hence, option b) is correct answer.
Since, a+(n-1) d = an
Then , 210 = 21+(n-1)*21
210 = 21 + 21n - 21
21n = 210
n = 10.
Therefore, 10 th term of this AP is 210.
Hence, option b) is correct answer.
The famous mathematician associated with finding the sum of the first 100 natural numbers is- a)Pythagoras
- b)Newton
- c)Gauss
- d)Euclid
Correct answer is option 'C'. Can you explain this answer?
The famous mathematician associated with finding the sum of the first 100 natural numbers is
a)
Pythagoras
b)
Newton
c)
Gauss
d)
Euclid
|
Raghav Bansal answered |
Johann Friedrich Gauss, he was a German mathematician who find the sum of the first 100 natural number.
If p, q, r are in AP, then p3 + r3 - 8q3 is equal to- a)4pqr
- b)- 6pqr
- c)2pqr
- d)8pqr
Correct answer is option 'B'. Can you explain this answer?
If p, q, r are in AP, then p3 + r3 - 8q3 is equal to
a)
4pqr
b)
- 6pqr
c)
2pqr
d)
8pqr
|
Ishan Choudhury answered |
∵ p, q, r are in AP.
∴ 2 q = p + r
⇒ p + r - 2 q = 0
∴ 2 q = p + r
⇒ p + r - 2 q = 0
The next term of the 
- a)5√2
- b)5√3
- c)3√3
- d)5√4
Correct answer is option 'A'. Can you explain this answer?
The next term of the
a)
5√2
b)
5√3
c)
3√3
d)
5√4
|
Ananya Das answered |
The given AP is √8, √18, √32,......... On simplifying the terms, we get:
In an AP, if a = 3.5, d = 0, n = 101, then an will be- a)0
- b)3.5
- c)105.5
- d)104.5
Correct answer is option 'B'. Can you explain this answer?
In an AP, if a = 3.5, d = 0, n = 101, then an will be
a)
0
b)
3.5
c)
105.5
d)
104.5
|
|
Raghav Bansal answered |
a101 = 3.5 + 0 (100) = 3.5
The list of numbers -10, -6, -2, 2, ... is
- a)an AP with d = -16
- b)an AP with d = 4
- c)an AP with d = - 4
- d)not an AP
Correct answer is option 'B'. Can you explain this answer?
The list of numbers -10, -6, -2, 2, ... is
a)
an AP with d = -16
b)
an AP with d = 4
c)
an AP with d = - 4
d)
not an AP
|
|
Priyanshu Intelligent answered |
(-6)-(-10)
-6+10
4.
Hence option b) is correct answer.
Here , d =4
-6+10
4.
Hence option b) is correct answer.
Here , d =4
Two APs have the same common difference. The first term of one of these is -1 and that of the other is -8. Then the difference between their 4th terms is- a)-1
- b)-8
- c)7
- d)-9
Correct answer is option 'C'. Can you explain this answer?
Two APs have the same common difference. The first term of one of these is -1 and that of the other is -8. Then the difference between their 4th terms is
a)
-1
b)
-8
c)
7
d)
-9
|
Gaurav Kumar answered |
a4 - b4 = (a1 + 3d) - (b1 + 3d)
= a1 b1 = - 1 - (-8) = 7
= a1 b1 = - 1 - (-8) = 7
The first term and the common difference for the 
are respectively- a)
- b)
- c)
- d)
Correct answer is option 'B'. Can you explain this answer?
The first term and the common difference for the are respectively
are respectivelya)
b)
c)
d)
|
Get Idea answered |
The first term of the given arithmetic progression (AP) is:
a = 4/3
To find the common difference d, we can subtract the first term from the second term:
d = (1/3) - (4/3) = (1 - 4)/3 = -3/3 = -1
So, the first term and common difference are respectively:
Answer: (b) 4/3, -1
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