Topics

General Knowledge
General Science
General English
Aptitude
General Computer Science
General Intellingence and Reasoning
Current Affairs
Exams
Elementary Mathematics
English Literature

The HCF of two natural numbers m and n is 24 and their product is 552. How many sets of values of m and n are possible? (

A) 1
B) 2
C) 4
D) No set of m and n is possible satisfying the given conditions

Correct Answer:




D) No set of m and n is possible satisfying the given conditions

Description for Correct answer:
Product of two numbers = H.C.F. x L.C.M.

552 = 24 x L.C.M.

L.C.M. = 23

Now there is no possible set of values of m and n such that whose H.C.F. is 24 and L.C.M. is 23

Option (D)is correct.

Part of solved CDS Maths(1) questions and answers : Exams >> CDSE >> CDS Maths(1)

Comments

Similar Questions

1). If \( m\) and \( n\)\(\left( m > n\right) \) are the roots of the equation
\( 7\)\( \left( x + 2a\right)^{2}\) + \( 3a^{2}\) = \( 5a\)\( \left( 7x + 23a\right)\)
Where \( a>0\) then what is \( 3m\) - \( n\) equal to ?

A). 12a

B). 14a

C). 15a

D). 18a

2). A person selling an article for Rs.96 finds that his loss percent is one fourth of the amount of rupees that he paid for the article. What can be the cost price?

A). Rs.160 only

B). Rs.240 only

C). Rs.160 or Rs.240

D). Neither Rs.160 nor Rs.240

3). If (x + k) is the common factor of \( x^2 + ax + b \) and \( x^2 + cx + d \), then what is k equal to ?

A). (d - b)/(c - a)

B). (d - b)/(a - c)

C). (d + b)/(c + a)

D). (d - b)/(c + a)

4). What is the remainder when \( x^{5}\) - \( 5x^{2}\) + \( 125\) is divided by\( x\)+\( 5\)?

A). 0

B). 125

C). -3125

D). 3125

5). What is the lowest common multiple of \( ab\)\( \left( x^{2}+1\right)\)+\( x\)\( \left( a^{2}+b^{2}\right)\)and \( ab\)\( \left( x^{2}-1\right)\)+\( x\)\( \left( a^{2}-b^{2}\right)\)?

A). \( \left( a^{2} x^{2}-b^{2}\right)\)\( \left( a + bx\right)\)

B). \( \left( a^{2} x^{2}-b^{2}\right)\)\( \left( a + bx\right)^{2}\)

C). \( \left( a^{2} x^{2}-b^{2}\right)\)\( \left( a - bx\right)\)

D). \( \left( a^{2} x^{2}-b^{2}\right)\)\( \left( a - bx\right)^{2}\)

6). A certain number of two digits is three times the sum of its digits. If 45 is added to the number, the digits will be reversed. What is the sum of the squares of the two digits of the number?

A). 41

B). 45

C). 53

D). 64

7). If from the top of a post a string twice the length of the post is stretched tight to a point on the ground, then what angle will the string make with the post?

A). \( \Large \frac{\pi}{6} \)

B). \( \Large \frac{\pi}{4} \)

C). \( \Large \frac{5\pi}{12} \)

D). \( \Large \frac{\pi}{3} \)

8). The price of a commodity increased by 5% from 2010 to 2011, 8% from 2011 to 2012 an 77% from 2012 to 2013. What is the average price increase (approximate) from 2010 to 2013?

A). 26%

B). 32%

C). 24%

D). 30%

9). A railroad curve is to be laid on a circle. What radius (approximate) should be used if the track is to change direction by \( 25 ^{\circ}\) in a distance of 120 m?

A). 300 m

B). 280 m

C). 275 m

D). 264 m

10). If \( 0\)<\( \theta\)<\( \Large \frac{\pi}{4} \), then what is \( \sqrt{1-2\sin \theta \cos \theta}\) to?

A). \(\cos \theta \)-\(\sin \theta \)

B). \(\sin \theta \)-\(\cos \theta \)

C). \( \pm\)\(\cos \theta \)-\(\sin \theta \)

D). \(\cos \theta \sin \theta \)