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Home » GAT Subject » Mathematics » Aptitude Test - 15
1.Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
A. 9 min
B. 10 min
C. 11 min
D. 9 min
2.Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
A. 19 1/7 min
B. 15 1/7 min
C. 17 1/7 min
D. 19 1/7 min
3.Three flags each of different colours are available for a military exercise, Using these flags different codes can be generated by waving.
A. 6
B. 9
C. 15
D. 6
4.A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
A. 63
B. 511
C. 1023
D. 63
5.In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
A. 400
B. 500
C. 600
D. 400
6.In how many ways can three consonants and two vowels be selected from the letters of the word “TRIANGLE”?
A. 25
B. 13
C. 40
D. 25
7.A bag contains nine yellow balls, three white balls and four red balls. In how many ways can two balls be drawn from the bag?
A. ?C?
B. ³C?
C. ¹?C?
D. ?C?
8.How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}
A. 60
B. 360
C. 120
D. 60
9.How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
A. 360
B. 60
C. 300
D. 360
10.The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is_________?
A. (6!)2
B. 6! * ?P?
C. 2(6!)
D. (6!)2
11.A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most__________?
A. 216
B. 243
C. 215
D. 216
12.A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
A. 165
B. 185
C. 205
D. 165
13.What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?
A. 100
B. 60
C. 30
D. 100
14.A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
A. 150
B. 200
C. 250
D. 150
15.The number of permutations of the letters of the word ‘MESMERISE’ is___________?
A. 9!/(2!)2 3!
B. 9!/(2!)3 3!
C. 9!/(2!)2 (3!)2
D. 9!/(2!)2 3!
16.The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
A. 720
B. 144
C. 120
D. 720
17.Using all the letters of the word “NOKIA”, how many words can be formed, which begin with N and end with A?
A. 3
B. 6
C. 24
D. 3
18.Using all the letters of the word “THURSDAY”, how many different words can be formed?
A. 8
B. 8!
C. 7!
D. 8
19.How many three letter words are formed using the letters of the word TIME?
A. 12
B. 20
C. 16
D. 12
20.A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
A. 21
B. 12
C. 9
D. 21
21.There are 30 people in a group. If all shake hands with one another , how many handshakes are possible?
A. 870
B. 435
C. 30!
D. 870
22.In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together?
A. 120
B. 720
C. 4320
D. 120
23.In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together?
A. 10080
B. 4989600
C. 120960
D. 10080
24.How many 4-letter words with or without meaning, can be formed out of the letters of the word, ‘LOGARITHMS’, if repetition of letters is not allowed?
A. 40
B. 400
C. 5040
D. 40
25.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?
A. 63
B. 90
C. 126
D. 63
26.In how many different ways can four books A, B, C and D be arranged one above another in a vertical order such that the books A and B are never in continuous position?
A. 9
B. 12
C. 14
D. 9
27.There are two identical red, two identical black, and two identical white balls.In how many different ways can the balls be placed in the cells (Each cell to contain one ball) shown above such that balls of the same colour do not occupy any two consecutive cells?
A. 15
B. 18
C. 24
D. 15
28.Twelve people from a club, by picking lots. One of them will host a dinner for all once in a month. The number of dinners a particular member has to host in one year is________?
A. One
B. Zero
C. Three
D. One
29.A person ordered 5 pairs of black socks and some pairs of brown socks. The price of a black pair was thrice that of a brown pair while preparing the bill the bill clerk inter-changed the number of black and brown pairs by mistake which increased the bill by 100% what was the number of pair of brown socks in the original order?
A. 10
B. 15
C. 20
D. 10
30.A two number committee comprising of one male and the female number is to be constituted out of five male and 3 females. Amongst the females, Ms. A refused to be number committee in which Mr.B is taken as the number of how many different ways can the committee be constituted?
A. 11
B. 30
C. 14
D. 11
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