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Home » GAT Subject » Aptitude Test - 131
Hassan
1.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
2.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
3.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
4.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
5.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
6.2 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
7.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
8.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
9.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
10.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
11.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
12.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
13.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
14.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??
15.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
16.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
17.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
18.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
19.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
20.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
21.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
22.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
23.Find the least square number which is divisible by 10, 12, 15 and 18?
A. 1600
B. 900
C. 3600
D. 1600
24.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
25.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
26.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
27.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
28.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
29.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
30.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
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