**cat dose 3 - **
May 17th, 2006
CAT DOSE 3
Let N1 = 3000
N2 = 3600
For N1 & N2 find the answer of the following question.
1. Total no. of factors.
2. Total no. of odd factors.
3. Total no. of even factors.
4. Total no. of prime factors.
5. Total no. of composite factors.
6. No. of factors which are divisible by 2.
7. No. of factors which are divisible by 3.
8. No. of factors which are divisible by 5.
9. No. of factors which are divisible by 9.
10. No. of factors which are divisible by 10.
11. No. of factors which are divisible by 12.
12. No. of factors which are divisible by 15.
13. No. of factors in which last digit is zero.
14. No. of factors in which last two digit is zero.
15. No. of factors in which last digit is five.
16. By what no. N1 & N2 should be divided such that it will become an odd no?
17. In how many ways N1 & N2 can be written as product of two no.?
18. In how many ways N1 & N2 can be written as product of two different no.?
19. In how many ways N1 & N2 can be written as product of two no. such that these two no. are in ordered pair.
20. In how many ways N1 & N2 can be written as product of two even no.?
21. In how many ways N1 & N2 can be written as product of two odd no.?
22. In how many ways N1 & N2 can be written as product of two no.such that one is even & other is odd?
23. In how many ways N1 & N2 can be written as product of two perfect squares?
24. In how many ways N1 & N2 can be written as product of two non perfect squares?
25. In how many ways N1 & N2 can be written as product of two no. such that one of them is perfect square and other is non perfect squares.
ENGLISH
Q [1] Fill up the blanks numbered [1] …..….. [10] in the paragraph given below by choosing from the options given.
The sidereal shenanigans were a key …1…. in Colbert’s grand plan to make France a …2…. superpower, as part of which he also …3… tax breaks to anybody interested in sailing off to exotic foreign parts and coming back with import deals for high-end consumables. Idea behind this being, Colbert could then turn this trade into a French …4.. and make …5… of ecus for king and country. Well, King!
This perfectly …6…. scheme for …7… tax was yet another offer too good to refuse, so in no time at all, …8….. were returning from Senegal in West Africa with shiploads of gold, ivory, slaves and gum. Senegal gum turned out to be just what you need to machine-print chintz with fast colours, because the gum acts as a …9….. agent.
1 a element b ramification c corollary d effects
2 a hostile b mercantile c antagonistic d commercial
3 a took b offered c accessible d gave
4 a cartel b alliance c monopoly d lobby
5 a oodles b few c many d numerous
6 a unlawful b illicit c legitimate d interesting
7 a paying b initiating c affirming d avoiding
8 a freebooters b dealers c bargainers d brokers
9 a cleaning b washing c printing d dye-binding
Q [2] Fill up the gaps given in each statement with a pair of words as given in the options.
1 Fall was so cold in Madison, wind ……. off the lakes and ……. everything.
A billowing, stabbing B emanating, wounding
C deriving, trouncing D blowing, penetrating
2 Outside taxis blared and buses hissed, but the store itself was quiet, an urban version of Fabrications, run by a …… of heavy, besuited salesladies who watched wordlessly from behind the cutting tables as I ….. around.
A phalanx, strolled B pack, meandered
C battalion, rove D bevy, strayed
3 It was …… that as I recently ran into the Paris church now known as the Pantheon, out of yet another rain storm …… in from the Atlantic, I was filming a sequence about the guy who told us why the rain always comes from that direction.
A sarcastic, far-reaching B sardonic, carrying
B ironic, sweeping C derisive, blowing |