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1
BITSAT 2021
MCQ (Single Correct Answer)
+3
-1

Sum of n terms of the infinite series

1.32 + 2.52 + 3.72 + ..... $$\infty$$ is

A
$${n \over 6}(n + 1)(6{n^2} + 14n + 7)$$
B
$${n \over 6}(n + 1)(6{n^2} + 14n + 5)$$
C
$${n \over 6}(n + 1)(2n + 1)(3n + 1)$$
D
$$4{n^3} + 4{n^2} + n$$
2
BITSAT 2020
MCQ (Single Correct Answer)
+3
-1

If a1, a2, a3, ......., a20 are AM's between 13 and 67, then the maximum value of a1, a2, a3, ......, a20 is equal to

A
(20)20
B
(40)20
C
(60)20
D
(80)20
3
BITSAT 2020
MCQ (Single Correct Answer)
+3
-1

If p, q, r are in AP and are positive, the roots of the quadratic equation px2 + qx + r = 0 are all real for

A
$$\left| {{r \over p} - 7} \right| \ge 4\sqrt 3 $$
B
$$\left| {{p \over r} - 7} \right| < 4\sqrt 3 $$
C
All p and r
D
No p and r
4
BITSAT 2020
MCQ (Single Correct Answer)
+3
-1

If one GM, g and two AM's p and q are inserted between two numbers a and b, then (2p $$-$$ q) (p $$-$$ 2q) is equal to

A
g2
B
$$-$$g2
C
2g
D
3g2
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