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Home » GAT Subject » Mathematics » Aptitude Test - 16
1.A selection is to be made for one post of principal and two posts of vice-principal amongst the six candidates called for the interview only two are eligible for the post of principal while they all are eligible for the post of vice-principal. The number of possible combinations of selectees is___________?
A. 4
B. 12
C. 18
D. 4
2.A student has to opt for 2 subjects out of 5 subjects for a course. Namely commerce, economics, statistics, mathematics 1 and Mathematics 2, Mathematics 2 can be offered only if mathematics 1 has also opteThe number of different combinations of two subjects which can be opted is_________?
A. 5
B. 6
C. 7
D. 5
3.2 men and 1 woman board a bus of which 5 seats are vacant, one of these 5 seats is reserved for ladies. A woman may or may not sit on the seat reserved for ladies, In how many different ways can the five seats be occupied by these passengers?
A. 15
B. 36
C. 48
D. 15
4.Three dice (each having six faces with each face having one number from 1 or 6) are ralleWhat is the number of possible outcomes such that atleast one dice shows the number 2?
A. 36
B. 81
C. 91
D. 36
5.A mixed doubles tennis game is to be played two teams(each consists of one male and one female) There are four married couples. No team is to consist a husband and his wife. What is the maximum number of games that can be played?
A. 12
B. 48
C. 36
D. 12
6.In a question paper, there are four multiple choice type questions, each question has five choices with only one choice for it’s correct answer. What is the total number of ways in which a candidate will not get all the four answers correct?
A. 19
B. 120
C. 624
D. 19
7.In how many different ways can six players be arranged in a line such that two of them, Asim and Raheem are never together?
A. 120
B. 240
C. 360
D. 120
8.Groups each containing 3 boys are to be formed out of 5 boys. A, B, C, D and E such that no group can contain both C and D together. What is the maximum number of such different groups?
A. 5
B. 6
C. 7
D. 5
9.A question paper had 10 questions. Each question could only be answered as true(T) of False(F). Each candidate answered all the questions, Yet no two candidates wrote the answers in an identical sequence. How many different sequences of answers are possible?
A. 20
B. 40
C. 512
D. 20
10.Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points?
A. 29
B. 32
C. 55
D. 29
11.A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior?
A. ²²C??
B. ²²C?? + 1
C. ²²C? + ¹?C?
D. ²²C??
12.A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?
A. ¹²C? * 10
B. ¹²C? * 10
C. ¹²C? * ¹?C?
D. ¹²C? * 10
13.A group consists of 4 men, 6 women and 5 children. In how many ways can 3 men, 2 women and 3 children selected from the given group?
A. 300
B. 450
C. 600
D. 300
14.A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group?
A. 300
B. 600
C. 750
D. 300
15.Find the number of ways of arranging the letters of the word “MATERIAL” such that all the vowels in the word are to come together?
A. 720
B. 1440
C. 1860
D. 720
16.The number of new words that can be formed by rearranging the letters of the word ‘ALIVE’ is__________?
A. 24
B. 23
C. 119
D. 24
17.A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?
A. 20
B. 54
C. 42
D. 20
18.The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -.
A. 4000
B. 2160
C. 4320
D. 4000
19.In how many ways can live boys and three girls sit in a row such that all boys sit together?
A. 4800
B. 5760
C. 2880
D. 4800
20.Find the least square number which is divisible by 10, 12, 15 and 18?
A. 1600
B. 900
C. 3600
D. 1600
21.Three men start together to travel the same way around a circular track of 11 kilometers in circumference. Their speeds are 4, 5 and 8 kilometers per hour respectively. When will they meet at a starting point?
A. 11 hours
B. 12 hours
C. 220 hours
D. 11 hours
22.Find the least multiple of 13 which when divided by 6, 8 and 12 leaves 5, 7 and 11 as remainders respectively? 143 169 260 221
A. 143
B. 169
C. 260
D. 143
23.Find the least number which when divided by 6, 7, 8, 9 and 10 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 19 leaves no remainder?
A. 5073
B. 5016
C. 5054
D. 5073
24.Find the least number which when divide by 2, 3, 4, 5 and 6 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 7 leaves no remainder?
A. 210
B. 119
C. 126
D. 210
25.A heap of stones can be made up into groups of 21. When made up into groups of 16, 20, 25 and 45 there are 3 stones left in each case. How many stones at least can there be in the heap?
A. 7203
B. 2403
C. 3603
D. 7203
26.Find the greatest number of four digits which when divided by 10, 15, 21 and 28 leaves 4, 9, 15 and 22 as remainders respectively?
A. 9654
B. 9666
C. 9664
D. 9654
27.Find the least number which when divided by 35 leaves remainder 25, when divided by 25 leaves remainder 15 and when divided by 15 leaves remainder 5?
A. 420
B. 515
C. 435
D. 420
28.What is the least number which when divided by 8, 12, 18 and 24 leaves the remainders 4, 8, 14 and 20 respectively?
A. 78
B. 68
C. 58
D. 78
29.The wheels revolve round a common horizontal axis. They make 15, 20 and 48 revolutions in a minute respectively. Starting with a certain point on the circumference down wards. After what interval of time will they come together in the same position?
A. 1 min
B. 2 min
C. 3 min
D. 1 min
30.Two numbers 4242 and 2903 when divided by a certain number of three digits, leave the same remainder. Find the number?
A. 101
B. 103
C. 107
D. 101
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