1
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For the following two (02) items:
Let $p=\sum_{j=1}^{n}\log_{10}2^{j} and q=\sum_{j=1}^{n}\log_{10}5^{j}$
If p + q = 66 then which one of the following is correct?
1
n < 7
2
7 < n < 9
3
9 < n < 12
4
n > 12
2
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For the following two (02) items:
Let $p=\sum_{j=1}^{n}\log_{10}2^{j} and q=\sum_{j=1}^{n}\log_{10}5^{j}$
If p + q = 15 then what is equal to? q - p
1
$\log_{10} 2 \cdot 5$
2
$5\log_{10} 2 \cdot 5$
3
$10\log_{10} 2 \cdot 5$
4
$15\log_{10} 2 \cdot 5$
3
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If $\log _b a=p, \log _d c=2 p$ and $\log _f e=3 p$, then what is $(a c e)^{\frac{1}{p}}$ equal to ?
A

$bd^2 f^3$

B

$bdf$

C

$b^3 d^2 f$

D

$b^2 d^2 f^2$

4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

What is the number of solutions of $\log_4(x - 1) = \log_2(x - 3)$?

A

Zero

B

One

C

Two

D

Three