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1
BITSAT 2022
MCQ (Single Correct Answer)
+3
-1

Let a1, a2, a3 .... be a harmonic progression with a1 = 5 and a20 = 25. The least positive integer n for which an < 0, is

A
22
B
23
C
24
D
25
2
BITSAT 2022
MCQ (Single Correct Answer)
+3
-1

In a sequence of 21 terms, the first 11 terms are in AP with common difference 2 and the last 11 terms are in GP with common ratio 2. If the middle term of AP be equal to the middle term of the GP, then the middle term of the entire sequence is

A
$$-\frac{10}{31}$$
B
$$\frac{10}{31}$$
C
$$\frac{32}{31}$$
D
$$-\frac{31}{32}$$
3
BITSAT 2021
MCQ (Single Correct Answer)
+3
-1

If a + 2b + 3c = 12, (a, b, c $$\in$$R+), then the maximum value of ab2c3 is

A
23
B
24
C
26
D
25
4
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
$$4{n^3} + 4{n^2} + n$$
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