MTCS MCQ
MTCS MCQ
1. If U={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15},A={2,3,7,11,13}, B={2,4,6,8,10}, C={1,3,4,5,12} find, A intersection B.
ANSWER= (A){2}
2. Union of set A={1,2,3,4} and B={7,8,9} is
ANSWER= (B){1,2,3,4,7,8,9}
3. If A={1,2,3,4}, B={3,4,5,6}, C={5,6,7,8} find AUBUC.
ANSWER=(D){1,2,3,4,5,6,7,8}
4. If A={1,2,3,4,5,6}, B={2,4,6,8} then find A-B.
5. Let A & B be to finite sets such that n(A)=20, n(B)=28 & n(AUB)=36 , find n(A intersection B).
6. In a group of 60 people, 27 like colddrinks then 42 like hot drinks and each person likes one of the two drinks, how many like both coffee & tea.
7. If P={multiple of 3 between 1 & 20}, Q={even natural numbers upto 15}, find the intersection of the two given set P and set Q.
8. In a class of 40 students of 15 like to play cricket , football and 20 like to play cricket, how many like to play football? Only but not cricket.
9. Find first five terms, if tn=2n+5.
ANSWER= (D)7,9,11,13,15.
10. Find first four terms, if tn=n2+1.
ANSWER= (B) )2,5,10,17
11. If an A.P. is 3,5,7,9,11,…….. , then find the common difference and first term.
ANSWER= (D) Both A) and B)
12. Find the general terms of A.P. -3,-1/2,2,……..
ANSWER= (A) -3
13. If Sn=n-2 , find first four terms.
ANSWER= (D) -1,0,1,2
14. Find 25th term of A.P. is 3,6,9,12,…….
ANSWER= (B) 75
15.Which term of the A.P. 21,18,15,……. Is -81?
ANSWER= (A) 35
16. Find the 31st term of an A.P. whose 11th term is 38 and the 16th term is 73.
ANSWER= (C) 178
17. If the 5th term and 12th term of an A.P. are 30 and 65 respectively. Find the sum of its 26 terms.
ANSWER= (B) 1885
18. If nth term of the G.P. 3,6,12,……… is 192 then what is the value of n?
ANSWER= (D) 7
19. If the Ist term is 10 and the common ratio of a G.P. is 3 then write the first five terms of G.P.
ANSWER=(A) 30,30,900,27000,810000
20. Find the sum of G.P. 10,30,90,270,810 using formula.
ANSWER=(D) 1210
21. Find the LCM and HCF of 16, 24, 36, 54.
ANSWER=(C) 432,2
22. The HCF of two numbers is 11 & their LCM is 693. If one of the number is 77, find the other.
ANSWER=(A) 99
23. The HCF of two numbers is 11 & their LCM is 7700 if one of the number is 275, find the other.
ANSWER=(C) 308
24. A,B & C can complete a piece of work in 24,6 & 12 days respectively working together they will complete the same work in
ANSWER=(B) 24/7
25. A tire has two puncture , the first puncture alone could have made the tire flat in 9 min , & the second alone could have donre it in 6 min. if air leg out at a conostant rate ,how does long it take both the puncture together to make it flat?
ANSWER=(C) 18/5
26. A man can do a job in 15 day his father takes 20 days & his son finishes it in 25 days , how long will they take to complete the job if they will work together ?
ANSWER=(D) 300/47
27. A car is running at a speed of 108 km/hr ,what distance will it cover in 15 secs.
ANSWER=(B) 450 m
28. Which of the following train is the faster?
ANSWER=(D) None of above.
29. Three unbiased coines are tossed what is the probability of getting at least two heads?
ANSWER=(C) 1/2
30. The card is drawn from a pack of 52 cards the probability of getting a queen of clum is or a king of heart is?
ANSWER=(C) 1/26
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