1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let x be the number of permutations of the word ‘PERMUTATIONS’ and y be the number of permutations of the word ‘COMBINATIONS’. Which one of the following is correct ? 
A
x = y 
B
y = 2x
C
x = 4y
D
y = 4x
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
5-digit numbers are formed using the digits 0, 1, 2, 4, 5 without repetition. What is the percentage of numbers which are greater than 50,000 ?
A
20%
B
25%
C
$\frac{100}{3} \%$
D
$\frac{110}{3} \%$
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

Consider the sum 

S = 0! + 1! + 2! + 3! + 4! +... .+ 100!  

If the sum S is divided by 8, what is the remainder ?  
A
0
B
1
C
2
D
Cannot be determined
4
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

Consider the sum 

S = 0! + 1! + 2! + 3! + 4! +... .+ 100!  

If the sum S is divided by 60, what is the remainder ?
A
1
B
3
C
17
D
34
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