www.abayjobs.com

Commercial Bank of Ethiopia- CBE Exam

Commercial Bank of Ethiopia- CBE test
1. From a bunch of seven men and six ladies, 5 persons area unit to be chosen to create a committee in order that a minimum of three  men area unit there on the committee. In what percentage ways that will it's done?
A. 564      B. 645      C. 735           D. 756          E. None of those
 
2. In what percentage other ways will the letters of the word ‘LEADING’ be organized in such how that the  vowels perpetually come back together?
A. 360 B. 480    C. 720            D. 5040        E. None of those
2. Answer: choice C
Explanation:
The word ‘LEADING’ has seven completely different letters. once the vowels EAI area unit perpetually along, they will be speculated to type one letter. Then, we've got to rearrange the letters LNDG (EAI). Now, five (4 + one = 5) letters are often organized in 5! = a hundred and twenty ways that. The vowels (EAI) are often organized among themselves in 3! = six ways that.
Required range of how = (120 x 6) = 720.
3. In what percentage other ways will the letters of the word ‘CORPORATION’ be organized in order that the vowels perpetually come back together?
A. 810    B. 1440    C. 2880     D. 50400     E. 5760
3. Answer: choice D
Explanation:
In the word ‘CORPORATION’, we have a tendency to treat the vowels OOAIO collectively letter. Thus, we've got CRPRTN (OOAIO). This has seven (6 + 1) letters of that R happens a pair of times and therefore the rest area unit completely different. range of how transcription these letters = 7!/2!
= 2520. Now, five vowels within which O happens three times and therefore the rest area unit completely different, are often organized in  5!/3! = twenty ways that. needed range of how = (2520 x 20) = 50400.
4. Out of seven consonants and four vowels, what percentage words of three consonants and a couple of vowels are often formed?
A. 210 B. 1050    C. 25200       D. 21400      E. None of those
 
Number of teams, every having three consonants and a couple of vowels = 210. every cluster contains five letters. range of how of transcription five letters among themselves = five! = 5 x four x three x a pair of x one = a hundred and twenty. needed range of how = (210 x 120) = 25200
5. In what percentage ways that will the letters of the word ‘LEADER’ be arranged?
A. 72     B. 144      C. 360      D. 720       E. None of those
5. Answer: choice C
Explanation:
The word ‘LEADER’ contains six letters, namely 1L, 2E, 1A, 1D and 1R. needed range of how = 6!/(1!)(2!)(1!)(1!)(1! = 360.
6. in an exceedingly cluster of six boys and four ladies, four kids area unit to be chosen. In however many various ways that will they be chosen specified a minimum of one boy ought to  be there?
A. 159      B. 194   C. 205     D. 209   E. None of those
6. Answer: choice D
Explanation: we have a tendency to could have (1 boy and three girls) or (2 boys and a couple of girls) or (3 boys and one girl) or (4  boys). needed range of how = (6C1 x four C3) + (6C2 x 4C2) + (6C3 x 4C1) + (6C4)= (6C1 x 4C1) + (6C2 x 4C2) + (6C3 x 4C1) + (6C2)   = (6 x 4) +(6 x five/2 x one×4 x 3/2 x 1)+6 x 5 x 4/3 x a pair of x 1)x4)+ six x 5/2 x 1
= (24 + ninety + eighty + 15)
= 209
7. what percentage 3-digit numbers are often fashioned from the digits a pair of, 3, 5, 6, 7 and 9, that area unit cleavable by five and none of the digits is repeated?
A. five            B. 10    C. fifteen           D. 20
7. Answer: choice D
Explanation: Since every desired range is cleavable by five, thus we have a tendency to should have five at the unit place. So, there's one means of doing it. The tens place will currently be crammed by any of the remaining five digits (2, 3, 6, 7, 9). So,  there area unit five ways that of filling the tens place. The tons of place will currently be crammed by any of the remaining four digits. So, there area unit four ways that of filling it. needed range of numbers = (1 x five x 4) = twenty.
8. In what percentage ways that a committee, consisting of five men and six ladies are often fashioned from eight men and ten women?
A. 266          B. 5040       C. 11760          D. 86400     E. None of those
8. Answer: choice C
9. A box contains a pair of white balls, three black balls and four red balls. In what percentage ways that will three 
balls be drawn from the box, if a minimum of one black ball is to be enclosed within the draw?
A. thirty two        B. 48   C. 64 D. ninety six            E. None of those
9. Answer: choice C
10. In what percentage other ways will the letters of the word ‘DETAIL’ be organized in 
such how that the vowels occupy solely the odd positions?
A. 32 B. forty eight        C. thirty six            D. sixty          E. 120
10. Answer: choice C
Explanation: There area unit six letters within the given word, out of that there area unit three vowels and three  consonants. allow us to mark these positions as under: (1) (2) (3) (4) (5) (6) currently, three vowels are often placed at any of the 3 places out four, marked 1, 3, 5. range of how of transcription the vowels = three P3 = 3! = six. Also, {the three|the three} consonants are often organized at the remaining 3 positions. range of how of those arrangements = three P3 = 3! = six. Total range of how = (6 x 6) = thirty six.
11.In what percentage ways that will a bunch of five men and a couple of ladies be created out of a complete of seven men and three women?
A. 63    B. 90     C. 126    D. 45    E. 135
11. Answer: choice A
12. what percentage 4-letter words with or while not that means, are often fashioned out of the letters of the word, ‘LOGARITHMS’, if repetition of letters isn't allowed?
A. 40     B. 400     C. 5040       D. 2520
12. Answer: choice C
13. In what percentage other ways will the letters of the word ‘MATHEMATICS’ be organized in order that the vowels perpetually come back together?
A. 10080     B. 4989600    C. 120960     D. None of those
13. Answer: choice C
Explanation:
In the word ‘MATHEMATICS’, we have a tendency to treat the vowels AEAI collectively letter. Thus, we've got MTHMTCS (AEAI). Now, we've got to rearrange eight letters, out of that M happens doubly, T happens doubly and therefore the  rest area unit completely different.
 
14. In what percentage other ways will the letters of the word ‘OPTICAL’ be organized in order that the vowels perpetually come back together?
A. 120      B. 720     C. 4320   D. 2160   E. None of those
14.Answer: choice B
Explanation: The word ‘OPTICAL’ contains seven completely different letters. once the vowels OIA area unit perpetually along, they will be speculated to type one letter. Then, we've got to rearrange the letters PTCL (OIA). Now, five letters are often organized in 5! = a hundred and twenty ways that. The vowels (OIA) are often organized among themselves in 3! = six ways that. needed range of how = (120 x6) = 720.
 
 
2
 
3
      
 
Good Luck !!!!!