Sum of first 25 terms in ap is 525, and the sum of the next 25 terms in the same ap is 725, what is the common difference? A)8/25
b.4/25 c)6/25 d)1/25
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1. Second term of a GP is 1000 and the common ratio is where n is a natural number. Pn is the product of n terms of this GP. P6 > P5 and P6 > P7, what is the sum of all possible values of n?
A. 4
B. 9
C. 5
D. 13
2. Sum of first 12 terms of a GP is equal to the sum of the first 14 terms in the same GP. Sum of the first 17 terms is 92, what is the third term in the GP?
A. 92
B. -92
C. 46
D. 231
3. Sum of first 25 terms in AP is 525, sum of the next 25 terms is 725, what is the common difference?
A. 8/25
B. 4/25
C. 6/25
D. 1/25
4. Let the nth term of AP be defined as tn, and sum up to 'n' terms be defined as Sn. If |t8| = |t16| and t3 is not equal to t7, what is S23?
A. 23(t16 - t8)
B. 0
C. 23t11
D. Cannot be determined
5. a, b, c, d and e are 5 distinct numbers that from an arithmetic progression. They are not necessarily consecutive terms but form the first 5 terms of the AP. It is known that c is the arithmetic mean of a and b, and d is the arithmetic mean of b anc c. Which of the following statements are true?
i. Average of all 5 terms put together is c.
ii. Average of d and e is not greater than average of a and b.
iii. Average of b and c is greater than average of a and d.
A. i and ii only
B. ii and iii only
C. all three statements are true
D. i and iii only
6. Consider a, b, c in a G.P. such that |a + b + c| = 15. The median of these three terms is a, and b = 10. If a > c, what is the product of the first 4 terms of this G.P.?
A. 40000
B. 32000
C. 8000
D. 48000
7. If 4 times the 4th term of an A.P. is equal to 9 times the 9th term of the A.P., what is 13 times the 13th term of this A.P.?
A. 7 times the 13th term
B. 0
C. 13 times the 7th term
D. 4 times the 4th term + 9 times the 9th term
8. Sequence P is defined by pn = pn-1 + 3, p1 = 11, Sequence Q is defined as qn = qn-1 – 4, q3 = 103. If pk > qk+2, what is the smallest value k can take?
A. 6
B. 11
C. 14
D. 15
9. The sum of 2n terms of A.P. {1, 5, 9, 13…..} is greater than sum of n terms of A.P. = {56, 58, 60..…}. What is the smallest value n can take?
A. 9
B. 10
C. 12
D. 14
10. a, b, c and d are in A.P., What can we say about terms bcd, acd, abd and abc?
A. They are also in A.P.
B. They are also in H.P.
C. Theyare also in G.P.
D. Theyare not in an A.P., G.P. or H.P.
Answer Key –
Q.No.1.2.3.4.5.6.7.8.9.10.Ans.(B)(A)(A)(B)(A)(A)(B)(D)(A)(B)
A. 4
B. 9
C. 5
D. 13
2. Sum of first 12 terms of a GP is equal to the sum of the first 14 terms in the same GP. Sum of the first 17 terms is 92, what is the third term in the GP?
A. 92
B. -92
C. 46
D. 231
3. Sum of first 25 terms in AP is 525, sum of the next 25 terms is 725, what is the common difference?
A. 8/25
B. 4/25
C. 6/25
D. 1/25
4. Let the nth term of AP be defined as tn, and sum up to 'n' terms be defined as Sn. If |t8| = |t16| and t3 is not equal to t7, what is S23?
A. 23(t16 - t8)
B. 0
C. 23t11
D. Cannot be determined
5. a, b, c, d and e are 5 distinct numbers that from an arithmetic progression. They are not necessarily consecutive terms but form the first 5 terms of the AP. It is known that c is the arithmetic mean of a and b, and d is the arithmetic mean of b anc c. Which of the following statements are true?
i. Average of all 5 terms put together is c.
ii. Average of d and e is not greater than average of a and b.
iii. Average of b and c is greater than average of a and d.
A. i and ii only
B. ii and iii only
C. all three statements are true
D. i and iii only
6. Consider a, b, c in a G.P. such that |a + b + c| = 15. The median of these three terms is a, and b = 10. If a > c, what is the product of the first 4 terms of this G.P.?
A. 40000
B. 32000
C. 8000
D. 48000
7. If 4 times the 4th term of an A.P. is equal to 9 times the 9th term of the A.P., what is 13 times the 13th term of this A.P.?
A. 7 times the 13th term
B. 0
C. 13 times the 7th term
D. 4 times the 4th term + 9 times the 9th term
8. Sequence P is defined by pn = pn-1 + 3, p1 = 11, Sequence Q is defined as qn = qn-1 – 4, q3 = 103. If pk > qk+2, what is the smallest value k can take?
A. 6
B. 11
C. 14
D. 15
9. The sum of 2n terms of A.P. {1, 5, 9, 13…..} is greater than sum of n terms of A.P. = {56, 58, 60..…}. What is the smallest value n can take?
A. 9
B. 10
C. 12
D. 14
10. a, b, c and d are in A.P., What can we say about terms bcd, acd, abd and abc?
A. They are also in A.P.
B. They are also in H.P.
C. Theyare also in G.P.
D. Theyare not in an A.P., G.P. or H.P.
Answer Key –
Q.No.1.2.3.4.5.6.7.8.9.10.Ans.(B)(A)(A)(B)(A)(A)(B)(D)(A)(B)
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