Sequences and Series Test

Result

Sequences and Series Test - 33

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Weekly Quiz Competition

Question 1
4 / -1

The common difference of an A.P whose first term is unity and whose second, tenth and thirty fourth terms are in G.P ., is

A

B

C

D

Solution
Question 2
4 / -1

Let the positive numbers a,b,c,d be in A.P., then abc, abd, acd, bcd are

A
Not in A.P/G.P/H.P

B
In A.P

C
In G.P

D
In H.P

Solution
Question 3
4 / -1

A
A.P

B
G.P

C
H.P

D
None of these

Solution
Question 4
4 / -1

If A is the A.M of the roots of the equation x² – 2ax + b = 0 and G is the G.M of the roots of the equation x² – 2bx + a² = 0, then

A
A > G

B
A ≠ G

C
A = G

D
None of these

Solution
Question 5
4 / -1

If A and G are arithmetic and geometric and means and x² – 2Ax + G² = 0 , then

A
A = G

B
A > G

C
A < G

D
A = – G

Solution
Question 6
4 / -1

If In (a + c), In (c – a), In (a – 2b + c) are in A.P., then

A
a,b,c are in A.P

B
a², b², c² are in A.P

C
a, b, c are in G.P

D
a, b, c are in H.P

Solution
Question 7
4 / -1

If the altitudes of a triangle are in A.P., then the sides of the triangle are in

A
A.P

B
H.P

C
G.P

D
Arithmetico-geometric progression

Solution
Question 8
4 / -1

If a,b,c are in G.P then log_a x, log_b x, log_e x are in

A
A.P

B
G.P

C
H.P

D
None of these

Solution
Question 9
4 / -1

If a,b,c are three unequal numbers such that a, b, c are in A.P and b – a, c – d, a are in G.P., then a : b : c is

A
1 : 2 : 3

B
2 : 3 : 1

C
1 : 3 : 2

D
3 : 2 : 1

Solution
Question 10
4 / -1

If (y – x), 2(y – a) and (y – z) are in H.P., then x – a, y – a, z – a are in

A
A.P

B
G.P

C
H.P

D
None of these

Solution