1
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83

If $a, b, c$ are in HP, then what is $\frac{1}{b-a} + \frac{1}{b-c}$ equal to?

1. $\frac{2}{b}$

2. $\frac{1}{a} + \frac{1}{c}$

3. $\frac{1}{2} \left( \frac{1}{a} + \frac{1}{b} + \frac{1}{c} \right)$

Select the correct answer using the code given below:

A

1 only

B

1 and 2 only

C

3 only

D

1, 2 and 3

2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If the nth term of a sequence is $\frac{2 n+5}{7}$, then what is the sum of its first 140 terms? 
A
2840
B
2780
C
2920
D
5700
3
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If (a + b), 2b, (b + c) are in HP, then which one of the following is correct?
A
a, b and c are in AP
B
a - b, b - c and c - a are in AP
C
a, b and c are in GP
D
a - b, b - c and c - a are in GP
4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let t1, t2, t3 ... be in GP. What is $\rm \left(t_1 t_3 \ldots t_{21}\right)^{\frac{1}{11}}$ equal to ?
A
t10
B
$t_{10}^2$
C
t11
D
${t}_{11}^2$
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