Question Bank for Reasoning-1

7/22/2019 Question Bank for Reasoning-1

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QUESTION BANK

1. There are five women and six men in a group. From this group a committee of 4 is to bechosen. How many different ways can a committee be formed that contain three womenand one man?

A)55 B)60 C)25 D)192 [ ]

2. There are five women and six men in a group. From this group a committee of 4 is to bechosen. How many different ways can a committee be formed that contain at least threewomen?

A)65 B)67 C)20 D)12 [ ]

3. How many different 5-card hands include 4 aces?

A)61 B)28 C)48 D)225 [ ]

4. In a local election, there are seven people running for three positions. The person thathas the most votes will be elected to the highest paying position. The person with thesecond most votes will be elected to the second highest paying position, and likewise forthe third place winner. How many different outcomes can this election have?

A)301 B)258 C)176 D)210 [ ]

5. How many different ways can a five-question true-false test can be answered?

A)32 B)28 C)76 D)26 [ ]

6. How many ways can 10 people be placed in alphabetical order according to their firstnames?

A)1 B)10 C)100 D)10! [ ]

7. How many different ways can the letters in the word "STORE" be arranged?

A)15 B)5 C)120 D)24 [ ]

8. How many different ways are there to arrange the word SCHOOL?

A)455 B)53 C)487 D)360 [ ]

9. How many words with or without meaning, can be formed by using all letters of theword, DELHI, using each letter exactly once?

A)10 B)25 C)60 D)120 [ ]


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10. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can beformed?

A)210 B)1050 C)25200 D)21400 [ ]

11. In how many ways a committee, consisting of 5 men and 6 women can be formed from 8men and 10 women?

A)2660 B)5040 C)11760 D)86400 [ ]

12. In how many ways 7 different gems can be arranged in a necklace?

A)120 B)240 C)360 D)480 [ ]

13. A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 ballsbe drawn from the box, if atleast one black ball is to be included in the draw?

A)32 B)48 C)64 D)96 [ ]

14. How many 3-digit numbers are possible using the digits 0, 1, 4,5, 7 and 9?

A) 180 B) 120 C)100 D) 140 [ ]

15. Find the number of combinations of 7 objects taking 2 at a time?

A) 12 B) 10 C) 21 D) 14 [ ]

16. A class has 14 boys and 16 girls. The class has to elect one boy and one girl to be

representatives on a committee. How many different ways can they select them?

A) 114 B) 104 C) 224 D) 212 [ ]

17. How many arrangements of three types of flowers are there if there are 6 types to choosefrom?

A) 12 B) 18 C)20 D) 16 [ ]

18. If a university student has to choose 2 science classes from 5 available science classesand 3 other classes from a total of 7 other classes available, how many different groups of

classes are there?

A) 225 B) 350 C) 175 D) 348 [ ]

19. How many ways can 7 people be arranged around a roundtable?

A) 270 B) 720 C) 340 D) 625 [ ]


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20. A license plate has 3 letters and 3 digits in that order. A witnessto a hit and run accident

saw the first 2 letters and the last digit. If the letters and digits can be repeated, how many

license platesmust be checked by the police to find the culprit?

A) 1300 B) 1800 C) 2600 D) 2200 [ ]

21. How many different ways can you have 1st, 2nd, 3rd, and 4thin a race with 10

runners?

A) 5040 B) 2800 C) 3684 D) 4840 [ ]

22. You select a president and vice-president from a group of 5students. Find the

number of possible outcomes?

A) 18 B) 20 C) 28 D)24 [ ]

23. You must select a committee of 3 from 12 students. How manydifferent committeescan be formed?

A) 259 B) 360 C) 480 D) 720 [ ]

24. How many triangles can you make using 6 non collinear points on a plane?

A) 6C1=6 B)6C4=15 C)

6C6=1 D)6C3=20 [ ]

25. In how many ways can you arrange 5 different books on a shelf?

A) 5*5=25 B) 5!=120 C) 4!=24 D) 30 [ ]

26. Find the value of56

56

77

77

PP

PP

+

.

A) 1 B )2 C) 3 D) 6 [ ]

27. How many different ways can 4 red, 3 blue, 4 yellow, and 2 green bulbs be arranged ona string of Christmas tree lights with 13 sockets?

A) 900 B) 90 C) 90,90 D) 900,900 [ ]

28. On each trip, a salesman visits 4 of the 12 cities in his territory. In how many differentways can he schedule his route?

A)225 B)495 C)285 D) 197 [ ]


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29. How many permutations of 3 different digits are there, chosen from the ten digits 0 to 9

inclusive?

A)84 B)120 C)504 D)720 [ ]

30. How many permutations of 4 different letters are there, chosen from the twenty six letters

of the alphabet?

A) 14,950 B) 23,751 C)358,800 D) 456,976 [ ]

31. A password consists of four different letters of the alphabet. How many different possible

passwords are there ?

A) 426 B)456,976 C)14,950 D)358,800 [ ]

32. Restaurant offers 5 choices of appetizer, 10 choices of main meal and 4 choices ofdessert. A customer can choose to eat just one course, or two different courses, or all

three courses. Assuming all choices are available, how many different possible meals

does the restaurant offer?

A) 329 B)310 C)200 D)19 [ ]

33. In a contest in which there are 8 participants, in how many ways can 5 distinct prizes beAwarded?A.) 112 B.) 6720 C.) 336 D.) 672 [ ]

34. A club elects a president, vice-president, and secretary-treasurer. How many sets ofofficers are possible if there are 15 members and any member can be elected to eachposition? No person can hold more than one position.A.) 2730 B.) 32,760 C.) 910 D.) 1365 [ ]

35. A church has 7 bells in its bell tower. Before each church service 5 bells are rung insequence. No bell is rung more than once. How many possible sequences are there?

A.) 2520 B.) 42 C.) 84 D) 21 [ ]

36. How many arrangements can be made using 2 letters of the word HYPERBOLAS if noletter is to be used more than once?A.) 1,814,400 B.) 3,628,800 C.) 45 D.) 90 [ ]

37. A work softball team has 15 players on its roster. There are 9 distinct positions in whichthese players can be placed. How many lineups can be fielded?A.) 1,505,667,870 B.) 1,635,890 C.) 1,816,214,400 D.) 214,400 [ ]


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38. From a group of 8 people, 5 will each win $1,000. How many different winning groupsare possible?

A.) 56 B.) 6720 C.) 168 D.) 336 [ ]

39. Of a classroom filled with 20 students, 2 will be selected to stay after school and correcthomework for extra credit. How many combinations are possible?

A.) 190 B.) 210 C.) 63 D.) 40 [ ]

40. To win the lottery, one must correctly select 6 numbers from a collection of 50 numbers(one through 50). The order in which the selection is made does not matter. How manydifferent selections are possible?

A.) 250 B.) 15,890,700 C.) 300 D.) 13,983,816 [ ]

41. A test is administered with 15 questions. Students are allowed to answer any ten. Howmany choices of ten questions are there?

A.) 150 B.) 250 C.) 3003 D.) 3000 [ ]

42. There are 20 people who work in an office together. Four of these people are selected togo to the same conference together. How many such selections are possible?

A.) 116280 B.) 4845 C.) 3003 D.) 80 [ ]

43. There are 20 people who work in an office together. Four of these people are selected toattend four different conferences. The first person selected will go to a conference in NewYork, the second will go to Chicago, the third to San Franciso, and the fourth to Miami.How many such selections are possible?

A.) 116280 B.) 80 C.) 3003 D.) 4845 [ ]

44. Serial numbers for a product are to be made using three letters (using any letter of thealphabet) followed by two single-digit numbers. For example, JGR29 is one such serialnumber. How many such serial numbers are possible if neither letters nor numbers can berepeated

A.) 1,404,000 B.) 80 C.) 15690 D.) 117,000 [ ]

45. A 7-card hand is chosen from a standard 52-card deck. How many of these will have fourspades and three hearts

A.) 1001 B.) 204,490 C.)29,446,560 D.) 117,000 [ ]


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46. In a new group of 15 employees at a restaurant, 10 are to be assigned as servers, 3 are tobe assigned as hosts, and 2 are to be assigned as cashiers. In how many ways can theassignment be made?

A.) 60 B.) 204,490 C.)30,030 D.) 3014 [ ]

47. In how many ways can a first prize, a second prize and four identical third prizes beawarded to a group of 15 people?

A.) 60 B.) 150,150 C.)5005 D.) 3,603,600 [ ]

48. There are 10 students from whom 4 are going to be chosen to represent their school at aconference. If Jack, Anna or Chris, but only one of them, must be chosen, in how manyways can the students be chosen to go to the conference ?

A.) 210 B.) 150,150 C.)360 D.) 105 [ ]

49. There are 20 people who work in an office together. Four of these people are selected toattend four different conferences. The first person selected will go to a conference in NewYork, the second will go to Chicago, the third to San Franciso, and the fourth to Miami.How many such selections are possible ?

A.) 116,280 B.) 80 C.)4845 D.) 105 [ ]

50. If the letters of the word SACHIN are arranged in all possible ways and these words

are written out as in dictionary, then the word SACHIN appears at serial number

( A ) 601 ( B ) 600 ( C ) 603 ( D ) 602 [ ]

ANSWERS

1 2 3 4 5 6 7 8 9 1 11 1 1 1 1 1 1 1 1 20

B A C D A A C D D C C C C A C C C B B C

2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 40

A B D D B C D B D C D C B A A D C A A B


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4 4 4 4 4 4 4 4 4 5

C B A A B C B D A A

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Question Bank for Reasoning-1