If m and n are the two positive integers then m² and n² are ____________

(a)

Co-prime

(b)

Not co-prime

(c)

Even

(d)

odd

If 3 is the least prime factor of number 'a' and 7 is least prime factor of number 'b', then the least prime factor of a + b is ____________

(a)

a + b

(b)

2

(c)

5

(d)

10

The difference between the remainders when 6002 and 601 are divided by 6 is ____________

(a)

2

(b)

1

(c)

0

(d)

3

44 ≡ 8 (mod12), 113 ≡ 85 (mod 12), thus 44 x 113 ≡______(mod 12):

(a)

4

(b)

3

(c)

2

(d)

1

Given a₁ = -1, \(a=\frac { { a }_{ n } }{ n+2 } \), then a₄ is ____________

(a)

\(-\frac { 1 }{ 20 } \)

(b)

\(-\frac { 1 }{ 4 } \)

(c)

\(-\frac { 1 }{ 840 } \)

(d)

\(-\frac { 1 }{ 120 } \)

The first term of an A.P. whose 8^th and 12^th terms are 39 and 59 respectively is ____________

(a)

5

(b)

6

(c)

4

(d)

3

In the arithmetic series Sn = k + 2k + 3k +...+ 100, k is positive integer and k is a factor 100 then S_n is ____________

(a)

\(1000\frac { 10 }{ k } \)

(b)

\(5000\frac { 50 }{ k } \)

(c)

\(\frac { 1000 }{ k } +10\)

(d)

\(\frac { 5000 }{ k } +50\)

How many terms are there in the G.P : 5, 20, 80, 320,..., 20480

(a)

5

(b)

6

(c)

7

(d)

9

If p^th, q^th and r^th terms of an A.P. are a, b, c respectively, then (a(q - r) + b(r - p) + c(p - q) is____________

(a)

0

(b)

a + b + c

(c)

p + q + r

(d)

pqr

Sum of infinite terms of G.P is 12 and the first term is 8. What is the fourth term of the G.P?

(a)

\(\frac { 8 }{ 27 } \)

(b)

\(\frac { 4 }{ 27 } \)

(c)

\(\frac { 8 }{ 20 } \)

(d)

\(\frac { 1 }{ 3 } \)

A square is drawn by joining the mid points of the sides of a given square in the same way and this process continues indefinitely. If the side of the first square is 4 cm, then the sum of the area of all the squares is ____________

(a)

8 cm²

(b)

16 cm²

(c)

32 cm² 

(d)

64 cm²

A boy saves Rs. 1 on the first day Rs. 2 on the second day, Rs. 4 on the third day and so on. How much did the boy will save upto 20 days?

(a)

2¹⁹ + 1

(b)

2¹⁹- 1

(c)

2²⁰- 1

(d)

2²¹- 1

The sum of first n terms of the series a, 3a, 5a...is ____________

(a)

na

(b)

(2n - 1)a

(c)

n² - a

(d)

n²a²

If p, q, r, x, y, z are in A.P, then 5p + 3, 5r + 3, 5x + 3, 5y + 3, 5z + 3 form ____________

(a)

a G.P

(b)

an A.P

(c)

a constant sequence

(d)

neither an A.P nor a G.P

In an A.P if the p^th term is q and the q^th term is p, then its n^th term is ____________

(a)

p+q-n

(b)

p+q+n

(c)

p-q+n

(d)

p-q-n