Permutations and Combinations

IBS BANK COACHING Institute in Chandigarh once gain brings you Quantitative Aptitude questions under SSC Coaching Program  on the topic   PERMUTATION and COMBINATION  along with the answer key. Access this question paper with solution plus ask our expert faculty who are enthusiastically helping aspirants to achieve their dream jobs in Banking and Government sector by providing ace Bank PO coaching, best quality Bank clerical coaching, SBI PO coaching, SBI clerical preparation, specialized SSC Coaching in Chandigarh, Mohali, Panchkula, Shimla, Patiala, Ludhiana and at many other centers across North India.

1.    Evaluate : 30 ! / 28 !
    1) 120         2) 640          3)870           4)940
2.    find the value of 60P3 is :
    1) 205220    2)205320      3)215320     4)225340
3.    find the value of 4P4 is :
    1) 24          2)120            3) 1             4)720
4.    find the value of 10C3 is :
    1) 720         2) 120           3) 240         4) 1
5.    find the value of 60C60 is :
    1) 1          2) 24650      3) 2334540      4) 720
6.    How many 4 letters words with or without meaning, can be formed out of the letters of the word, LOGARITHMS, if repetition of         letters is not allowed?
    1) 40    2) 400      3) 5040     4) 2520     5) None
7.    How many words with or without meaning, can be formed by using all the letters of the word DELHI, using each letter exactly         once?
    1) 10    2) 25    3) 60    4) 120    5) None
8.    In how many ways can the letters of the word LEADER be arranged?
    1) 70    2) 144    3) 360    4) 720    5) None
9.    How many words can be formed by using all the letters of the word ALLAHABAD?
    1) 37802) 1890    3) 7560    4) 2520   
10.    How many arrangements can be made out of the letters of the word ENGINEERING?
    1) 277200     2) 92400     3)69300      4) 23100
11.    In how many different ways can the letters of the word OPTICAL be arranged so that the vowels always come together?
    1) 120       2) 720     3) 4320     4)2160    5)  None
12.    In how many different ways can the letters of the word SOFTWARE be arranged so that the vowels always come together?
    1) 4320    2) 360   3) 1440   4) 13440    5) None
13.    In how many different ways can the letters of the word CORPORATION be arranged so that the vowels always come together?
    1) 810       2) 148    3) 140   4) 50400    5) None
14.    In how many different ways can the letters of the word MATHEMATICS be arranged so that the vowels always come together?
    1) 30002) 40048      3) 120960    4) 576
15.    In how many different ways an the letters of the word DETAIL be arranged in such a way that the vowels occupy only the odd         positions?
    1) 32    2) 48         3) 36     4) 578    5) None
16.    In how many different ways an the letters of the word MACHINE be arranged in such a way that the vowels occupy only the odd         positions?
        1) 210      2) 576    3) 144          4) 1728   
17.    In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women ?
    1) 63            2) 90          3) 120                    4) 150
18.    In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
    1) 266    2) 5040      3) 11760    4) 86400
19.    From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on         the committee. In how many ways can it be done?
    1) 564    2) 645    3) 735            4)756   
20.    In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that         at least one boy should be there?
    1) 150    2) 280    3) 147           4)209
21.    How many words can be formed from the letters of the word DIRECTOR so that the vowels are always together?
    1) 2160.     2) 2260    3) 2460    4) 2530   
22.    In how many ways can a cricket eleven be chosen out of a batch of 15 players?
    1) 13652) 1366    3) 1436    4)1542   
23.    In how many ways, a committee of 5 members can be selected from 6 men and 5 ladies, consisting of 3 men and 2 ladies?
    1) 200    2) 300    3) 350            4)400
24.    In how many ways can the letters of the word APPLE be arranged?
    1) 720          2) 120    3) 60         4) 180
25.    In how many different ways can the letters of the word RUMOUR be arranged?
    1) 180            2) 90    3) 30         4) 720
26.    How many words can be formed from the letters of the word SIGNATURE so that the vowels always come together?
    1) 720    2) 1440    3) 2880    4) 17280
27.    In how many different ways can the letters of the word JUEGE be arranged so that the vowels always come together?
    1) 48           2) 120    3) 124          4) 160
28.    In how many different ways can the letters of the word AUCTION be arranged so that the vowels always come together?
    1) 30           2) 48    3) 144          4) 576
29.    In how many different ways can the letters of the word BANKING be arranged so that the vowels always come together?
        1) 120    2) 720    3)360          4) 540

ANS :-
1.(3) 2.(2) 3.(1) 4.(2) 5.(1) 6.(3) 7.(4) 8.(3) 9.(3) 10.(1)
11.(2) 12.(1) 13.(4) 14.(3) 15.(3) 16.(2) 17.(1) 18.(3) 19.(4)
20.(4) 21.(1) 22.(1) 23.(1) 24.(3) 25.(1) 26.(4) 27.(1) 28.(4) 29.(2)

Punjab GK Quiz - IBS

IBS BANK  COACHING CHANDIGARH PRESENTS PUNJAB GK QUIZ FOR UPCOMING PUNJAB COOPERATIVE BANK EXAM, SSC CGL Exam . PLEASE REVIEW:

1. Bhakra Nangal Project is made on which River?
2. Who was the First Sikh ruler of Punjab?
3. State Animal Of Punjab?
4. Where is the Sikh heritage complex developed ?
5. Who is the first Punjabi novelist to get Jananpith Award?
6. Which is the biggest grain market of Punjab?
7. Who is the pioneer of Punjab Suba?
8. Which technology was successfully commissioned at Ludhiana Airport on 12 April 2013 by Airport Authority of India?
9. Bathinda Of Punjab was built by?
10. Who was the First Empress of India?
11. In which district, Hari - Ke - Pattan National Wetland and Wildlife Sanctuary situated?
12. What is the old name of Punjab?
13. How many parliamentary constituencies are there in Punjab?
14. Which is the center of newspapers in Punjab?
15. Who was the first chief minister of Punjab ?
16. Which 2 districts declared as Smoke Free Districts in Punjab?
17. Which is the famous and the biggest Airport in Punjab?
18. How many Rajya Sabha seats are there in Punjab?
19. Where was the First Shariyat Panchayat of state inaugurated to settle the disputes on Inheritance , marriageand divorce ?
20.When is the Labour’s Day celebrated ?

ANS :-

 1.Sutlej river    2. Maharaja Ranjit Singh     3. BlackBuck(kalaHiran)     4.  Anandpur Sahib   5. Sh Gurdial Singh 6. Khana 7. Master Tara Singh 8. VOR Technology 9. BhatiRajput  10. RaziaSultan  11. Tarn Taran12. SaptaSindhu13. 13 14 .Jalandhar  15. GopichandBhargva 16 . Hoshiarpurand Kapurthala17 .  Sri Guru Ram Dass international airport , Amritsar 18. 7  19. Malerkotla, Sangrur 20. May 1


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Reasoning Ability - IBS

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1.    How many meaningful English words can be formed with the letters AMRE using each letter only once in each word?
    1) None    2) One    3) Two     4) Three     5) More than three
2.    How many such digits are there in the number 42519673 each of which is as far away from the beginning in the number as when the digits are arranged in ascending order within the number?
    1) None    2) One    3) Two    4) Three     5) More than three
3.    In a certain code MODERN is written as 5% 38#@ and WIN is written as 6©@. How is RIDE written in that code?
    1) #©38     2) #@38     3) #©83     4) ©@38     5) None of these
4.    Four of the following five are alike in a certain way and so form a group. Which is the one that does not belong to that group?
    1) Sodium    2) Chlorine    3) Magnesium    4) Nitrogen    5) Glucose
5.    How many such pairs of letters are there in the word BAROMETER each of which has as many letters between them in the word as in the English alphabet?
    1) None    2) One     3) Two    4) Three     5) More than three
6.    Four of the following five are alike in a certain way and so form a group. Which is the one that does not belong to that group?
    1) Radish    2) Carrot     3) Garlic     4) Gourd    5) Ginger
7.    Four of the following five are alike in a certain way and so form a group. Which is the one that does not belong to that group?   
    1) 39    2) 69    3) 57    4) 129    5) 117
8.    In a certain code HEALING is written as BFIKHOJ. How is BEDTIME written in that code?
    1) EFCSJNF    2) EFCSFNJ    3) EFCUFNS    4) CFESFNJ    5) None of these
9.    If it is possible to make only one meaningful English word with the second, the fifth, the seventh and the eleventh letters of the word STAKEHOLDER, which of the following will be the third letter of that word? If no such word can be made, give 'X' as the answer and if more than one such word can be formed, give'Y' as the answer.
    1)T    2) R    3) E    4) X    5)Y
Directions (Q. 10-14): Each of the questions below consists of a question and two statements numbered I and IIare given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and
Give answer (1) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
Give answer (2) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
Give answer (3) if the data in Statement I alone or in Statement II alone are sufficient to answer the question.
Give answer (4) if the data in both the Statements I and II are not sufficient to answer the question.
Given answer (5) if the data in both the Statements I and II together are necessary to answer the question.

10.    What does 'Pe' mean in a code language?
    I.'Na Si La Lo' means'you may go now' and'Ne Si Na Pe' means 'he may go there' in that code language.
    II. 'Ki Se Pe Bo' means'come there and see' and'Se Ni Bo Ki' means 'come here and see' in that code language.

11.    What is Keshav's rank in a class of 50 ?
    I.Amit, ranking 18th in the class from the top, is 7 ranks below Vivek, who is 5 ranks above Keshav.
    II.Saurav, the 110th from the bottom, is 20 ranks below Suresh, who is 5 ranks below Keshav.
12.    How is Ram related to Nitin ?
    I.Revati, Nitin's mother, is cousin of Sukesh, the uncle of Ram.
    II. Pravin, Ram's father-in-law, is the grandfather of Sachin, the nephew of Nitin.
13.    'Who among M, N, O, P and Q is the youngest?
    I.N, the 2nd youngest, is younger than Q, O and M.
    II. O, the 2nd oldest, is older than N.
14.    Who among P, Q, R, S and T is the shortest?
    I.R, though not the shortest, is shorter than only Q.
    II. S, though not as tall as P, is not the shortest.

Directions (Q. 15-19): In each of the questions below are given three statements followed by fourconclusions numbered I, II, III and IV You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

15.     Statements:    Some desks are mirrors.     Some mirrors are combs.         Some combs are pins.
    Conclusions:    I. Some pins are desks.     II. Some combs are desks.
        III. Some pins are mirrors.    IV Some pins are either desks or mirrors.
    1) None follows     2) Only II follows     3) Only I follows     4) Only IV follows     5) Only III follows
16.    Statements:    All blades are hammers.     All hammers are rods.         All rods are buckets.
    Conclusions:    I.Some buckets are hammers.    II.Some rods are blades.       
        III. All hammers are buckets.     IV. All blades are rods.
    1) Only I and II follow        2) Only II and III follow        3) Only I, II and III follow
    4) Only II, III and IV follow     5)All follow
17.    Statements:    All trees are chairs.     No chair is flower.     Some flowers are bangles.
    Conclusions:    I. No tree is bangle.     II. No chair is bangle.   
        III. Some flowers are trees.     IV. Some bangles are trees.
    1) None follows        2) Only either I or IV follows        
    3) Only either II or III follows     4) Only I and II follow        5) Only III and IV follow
18.    Statements:    All rocks are balls.     Some balls are rings.         All rings are stones.
    Conclusions:    I. Some stones are rocks.     II. Some rings are rocks.         III. Some balls are rocks.
        IV No stone is rock.    
    1) Only I and III follow        2) Only III and IV follows
    3) Only either I or IV and III follow     4) Only either I or IV follows        5) None of these
19.    Statements:    All books are papers.     All pencils are papers.         All tables are papers.
    Conclusions:    I. Some books are pencils.     II. Some pencils are tables.     III. Some tables are books.   
        IV Some papers are tables,
    1) Only I follows    2) Only III follows    3) Only III follows    4) Only IV follows     5) None of these
Directions (Q. 20-24):Studythe following arrangement carefully and answer the questions given below:
   
    M4PA3%RS#EJ2$DF1UHB@9TWI8KN6©V7ZQ

20.    If all the -symbols in the above arrangement are dropped, which of the following will be the seventeenth from the left end?
    1)1    2) F    3)9    4)3    5) None of these
21.    Which of the following is the eighth to the right of the ; twentieth from the right end of the above arrangement?
    1)T     2%     3)2    4) 6    5) None of these
22.     How many such consonants are there in the above arrangement each of which is immediately preceded by a ' numberbutnot
    immediately followed by another consonant?
    1) None    2) One    3) Two    4) Three    5) More than three
23.    Four of the following five are alike in a certain way based on their positions in the above arrangement and so form a group.
    Which is the one that does not belong to that group?
    1) R#J    2) 9BW    3) PM3    4) 6VK    5)2DU
24.     How many such numbers are there in the above arrangement each ofwhich is immediately preceded by a consonant and
    immediately followed by a symbol?
    1) None    2) One    3) Two    4) Three    5) More than three
Directions (25-27): In the following questions, the sym¬bols @, C, %, $ and # are used with the following meaning as illustrated below:
    `P @ Q' means `P is not smaller than Q.   
    I 'P * Q' means `P is neither greater than nor equal to Q.
    'P © Q' means `P is neither greater than nor smaller than Q',
    P $ Q' means `P, is not greater than Q'.
    `P % Q' means `P is neither smaller than nor equal to Q'.
Now in each of the following questions assuming the given statements to be true, find which of the three conclusions I, II and III given below them is/are definitely true and give your answer accordingly.
25.    Statements:    R @ V,    V $ J,    J * K
    Conclusions:     I. K % R    II. J @ R    III. K % V
    1) Only I is true    2) Only II is true    3) Only I and II are true ,    4) Only III is true     5) None of these
26.     Statements:     D % H,     H @ V,     V $ W
    Conclvsions:     I. H % W    II. D% V    Ill. D % W
    1) Only I is true    2) Only II is true    3) Only III is true    4) All are true    5) None of these

27.     Statements:    M $ T,     T * J,    J © N
    Conclusions:     I. N % M    Il. J % M    II I. M $ N
    1) Only 1 is true    2) Only II is true    3) Only I and II are true    4) All are true     5) None of these

Directions (28-32):Study the following information carefully and answer the questions.
P, Q, R, S, T, V, W and Z are sitting around a circle facing at the centre. R is third to the right of Z, who is second to the right of P. S is not an immediate neighbour of Z and R. T is third to the left of S. Q is third to the right of W, who is not an immediate neighbour of S.

28.     Which of the pairs of persons are the immediate neighbours of P?
    1)VQ    2) VW    3)VS    4) SR    5) None of these

29.    What is Q's position with respect to Z?
    (A) Fourth to the right    (B) Fourth to the left     (C) Third to the right   

    1) Only (A)    2) Only (B)    3) Only (C)    4) Either (A) or (B)    5) None of these

30.    Who is second to the right of T?
    1)Z    2) Q    3) W    4) Data inadequate    5) None of these

31.    In which of the following pairs is the second person sitting on the immediate left of the first person?
    1) RT    2) TW    3) QR    4) PS    5) WZ

32.    Who is on the immediate left of Z?
    1)V    2) W    3) P    4) Data inadequate    5) None of these

Directions (33-37): Study the following information carefully and answer the given questions:
A word and number arrangement machine when given an input line of words and numbers rearranges them following a particular rule in each step. The following is an illustration of input and rearrangement.
    Input: world 32 73 verb 26 new desk 19
    Step I:73 world 32 verb 26 new desk 19
    Step II :73 desk world 32 verb 26 new 19
    Step III :73 desk 32 world verb 26 new 19
    Step IV: 73 desk 32 new world verb 2619
    Step V :73 desk 32 new 26 world verb 19
    Step VI: 73 desk 32 new 26 verb world 19
    Step VII: 73 desk 32 new 26 verb 19 world
    AndStep VII is the last step of the above input. As per the rules followed in the above steps, find out in each ofthe following
    questions the appropriate step for the given input.

33.     Step II of an input is: 51 brown 22 36 49 cloud sky red.
    How many more steps will be required to complete the rearrangement?
    1) Three    2) Four     3) Five     4) Six    5) None of these

34.    Step III of an input is: 58 dine 43 18 tower silver mat 24,
    which ofthe following will be step VI?
    1) 58 dine 43 mat 24 silver 18 tower    2) 58 dine 43 mat 24 18 tower silver    
    3) 58 dine 43 mat 18 tower silver 24     4) There will be no such step.    5) None of these

35.    Input: 85 23 96 case over for 42 win.
    How many steps will be required to complete the rear¬rangement?
    1) Four    2) Seven     3) Five     4) Six    5) None of these

36.    Step IV of an input is : 63 car 51 eyes 25 36 store lane.
    Which of the following is definitely the input?
    1) eyes car 25 63 36 51 store lane     2) eyes 25 car 63 5136 store lane
    3) eyes car 51 63 36 store lane     4) Cannot be determined        5) None of these

37.    Input: field eyes 94 32 house rent 49 27
    Which of the following steps will be the last but one?
    1) VI     2) V     3) VII     4) VIII     5) None of these


Directions (38-40): In each of the following questions, two rows of numbers are given. The resultant number in each row is to
be worked out separately based on the following rules and thequestion below the rows of numbers are to be answered. The
operation of numbers progresses from left to right.
    Rules:
    (i)    If an odd number is followed by another composite odd number, they are to be multiplied,
    (ii)    If an even number is followed by an odd number, they are to be added.
    (iii) If an even number is followed by a number which is a perfect square, the even number is to be subtracted from the perfect square.
    (iv)     If an odd number is followed by a prime odd number, the first number is to be divided by the second number,
    (v)     If an odd number is followed by an even number, the second one is to be subtracted from the first one.


38.    58  17  5
85    5 n
    If ‘n’ is the resultant of the first row what is the resultant of the second row?
    1) 255    2) 32    3) 49    4) 34    5) None of these

39.     24 64  15
    m 11 I5
    If m is the resultant of the first row, what is the resultant of the second row?
    1) 165    2) 75    3) 20    4) 3    5) None of these

40.     7  213
    d 7 33
    If d is the resultant of the first row, what will be the result¬ant of the second row?
    1)40    2) 138    3)231    4) 80    5) None of these

ANS:-

1	2	3	4	5	6	7	8	9	10
3	4	1	5	4	4	5	2	5	2

11	12	13	14	15	16	17	18	19	20
3	3	1	5	1	5	2	3	4	3

21	22	23	24	25	26	27	28	29	30
1	2	5	4	4	2	3	3	4	2

31	32	33	34	35	36	37	38	39	40
-	1	2	1	3	4	5	1	2	3