Numbers-Data Intensity 3 Multiple Questions and Answers.
Exercise Questions ::
Numbers
Answer: Option D
Explanation:
99 = 11 x 9, where 11 and 9 are co-prime.
By hit and trial, we find that 114345 is divisibleby 11 as well as 9. So, it is divisible by 99.
See More Information
Tutorial Link:
Published by:Michael Daani
Answer: Option B
Explanation:
This is an A.P. in which a = 6, d = 6 and Sn = 1800
Then,
n
[2a + (n - 1)d ] = 1800
2
n
[2 x 6 + (n - 1) x 6] = 1800
2
3n (n + 1) = 1800
n (n + 1) = 600
n 2 + n - 600 = 0
n 2 + 25n - 24n - 600 = 0
n (n + 25) - 24(n + 25) = 0
(n + 25)(n - 24) = 0
n = 24
Number of terms = 24.
See More Information
Tutorial Link:
Published by:Michael Daani
Answer: Option D
Explanation:
This is an A.P. in which a = 51, l = 100 and n = 50.
Sum =
n
(a + l )
=
50
x (51 + 100) = (25 x 151) = 3775.
2
2
See More Information
Tutorial Link:
Published by:Michael Daani
Answer: Option C
Explanation:
1904 x 1904
= (1904)2
= (1900 + 4)2
= (1900)2 + (4)2 + (2 x 1900 x 4)
= 3610000 + 16 + 15200.
= 3625216.
See More Information
Tutorial Link:
Published by:Michael Daani
Answer: Option B
Explanation:
Unit digit in 795 = Unit digit in [(74 )23 x 73 ] = Unit digit in [(Unit digit in(2401))23 x (343)] = Unit digit in (123 x 343) = Unit digit in (343) = 3
Unit digit in 358 = Unit digit in [(34 )14 x 32 ] = Unit digit in [Unit digit in (81)14 x 32 ] = Unit digit in [(1)14 x 32 ] = Unit digit in (1 x 9) = Unit digit in (9) = 9
Unit digit in (795 - 358 ) = Unit digit in (343 - 9) = Unit digit in (334) = 4.
So, Option B is the answer.
See More Information
Tutorial Link:
Published by:Michael Daani
« »