What is the number of terms in the series 117, 120, 123, 126, ..., 333?
- (a)72
- (b)73
- (c)76
- (d)79
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Official answer(b) 73
Quantitative Aptitude
179 questions in Science & Technology.
Asked in 2008, 2007
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)18
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Official answer(b) 12
Carpenter A can make a chair in 6 hours, carpenter B in 7 hours and carpenter C in 8 hours. If each carpenter works for 8 hours per day, how many chairs will be made in 21 days?
- (a)61
- (b)67
- (c)73
- (d)79
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Official answer(c) 73
A person purchases 100 pens at a discount of 10%. The net amount of money spent by the person to purchase the pens is Rs 600. The selling expenses incurred by the person are 15% on the net cost price. What should be the selling price for 100 pens in order to earn a profit of 25%?
- (a)Rs 802·50
- (b)Rs 811·25
- (c)Rs 862·50
- (d)Rs 875
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Official answer(c) Rs 862·50
A schoolteacher has to select the maximum possible number of different groups of 3 students out of a total of 6 students. In how many groups any particular student will be included?
- (a)6
- (b)8
- (c)10
- (d)12
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Official answer(c) 10
In an examination, 70% of the students passed in the Paper I, and 60% of the students passed in the Paper II. 15% of the students failed in both the papers while 270 students passed in both the papers. What is the total number of students?
- (a)600
- (b)580
- (c)560
- (d)540
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Official answer(a) 600
March 1, 2008 was Saturday. Which day was it on March 1, 2002?
- (a)Thursday
- (b)Friday
- (c)Saturday
- (d)Sunday
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Official answer(b) Friday
In how many different ways can all of 5 identical balls be placed in the cells shown above such that each row contains at least 1 ball?
- (a)64
- (b)81
- (c)84
- (d)108
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Official answer(d) 108
There are 6 different letters and 6 correspondingly addressed envelopes. If the letters are randomly put in the envelopes, what is the probability that exactly 5 letters go into the correctly addressed envelopes?
- (a)Zero
- (b)1/6
- (c)1/2
- (d)5/6
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Official answer(a) Zero
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)30
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Official answer(c) 24
(Each small circle represents a different station) Refer to the figure showing a network between station A and station B. What is the maximum number of different paths that exist between station A and station B?
- (a)28
- (b)31
- (c)33
- (d)35
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Official answer(b) 31
In how many maximum different ways can 3 identical balls be placed in 12 squares (each ball is placed in the exact centre of a square) shown in the figure above such that they do not lie along the same straight line? The original figure is not available for this question.
- (a)144
- (b)200
- (c)204
- (d)216
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Official answer(b) 200
In the figure shown above, what is the maximum number of different ways in which 8 identical balls can be placed in small triangles 1, 2, 3 and 4 such that each triangle contains at least one ball?
- (a)32
- (b)35
- (c)44
- (d)56
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Official answer(b) 35
Amit has five friends: 3 girls and 2 boys. Amit’s wife also has five friends: 3 boys and 2 girls. In how many maximum different ways can they invite 2 boys and 2 girls such that two of them are Amit’s friends and two are his wife’s friends?
- (a)24
- (b)38
- (c)46
- (d)48
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Official answer(c) 46
Five balls of different colours are to be placed in three different boxes such that any box contains at least one ball. What is the maximum number of different ways in which this can be done?
- (a)90
- (b)120
- (c)150
- (d)180
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Official answer(c) 150
All six letters of the name SACHIN are arranged to form different words without repeating any letter in any one word. The words so formed are then arranged as a dictionary. What will be the position of the word SACHIN in that sequence?
- (a)436
- (b)590
- (c)601
- (d)751
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Official answer(c) 601
Three dice (each having six faces with each face showing one number from 1 to 6) are rolled. What is the number of possible outcomes such that at least one die shows the number 2?
- (a)36
- (b)81
- (c)91
- (d)116
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Official answer(c) 91
Groups, each containing 3 boys, are to be formed out of 5 boys – A, B, C, D and E – such that no one group contains both C and D together. What is the maximum number of different groups?
- (a)5
- (b)6
- (c)7
- (d)8
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Official answer(c) 7
Each of the 3 persons is to be given some identical items such that the product of the numbers of items received by each of the three persons is equal to 30. In how many maximum different ways can this distribution be done?
- (a)21
- (b)24
- (c)27
- (d)33
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Official answer(c) 27
Six equidistant vertical lines are drawn on a board. Six equidistant horizontal lines are also drawn on the board cutting the six vertical lines and the distance between any two consecutive horizontal lines is equal to that between any two consecutive vertical lines. What is the maximum number of squares thus formed?
- (a)37
- (b)55
- (c)126
- (d)225
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Official answer(b) 55
A person has to completely put each of three liquids – 403 litres of petrol, 465 litres of diesel and 496 litres of mobile oil – in bottles of equal size without mixing any of the three types of liquids such that each bottle is completely filled. What is the least possible number of bottles required?
- (a)34
- (b)44
- (c)46
- (d)None of the above
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Official answer(b) 44
A and B can complete work together in 5 days. If A works at twice his speed and B at half of his speed, this work can be finished in 4 days. How many days would it take for A alone to complete the job?
- (a)10
- (b)12
- (c)15
- (d)18
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Official answer(a) 10
If all the numbers from 501 to 700 are written, what is the total number of times the digit 6 appears?
- (a)138
- (b)139
- (c)140
- (d)141
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Official answer(c) 140
Amit starts from a point A, walks to another point B and then returns from B to A by his car, taking a total time of 6 hours 45 minutes. If he had driven both ways in his car, he would have taken 2 hours less. How long would it take for him to walk both ways?
- (a)7 hours 45 minutes
- (b)8 hours 45 minutes
- (c)8 hours 30 minutes
- (d)8 hours 45 minutes
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Official answer(d) 8 hours 45 minutes
A train completes a journey with a few stoppages in between at an average speed of 40 km per hour. If the train had not stopped anywhere, it would have completed the journey at an average speed of 60 km per hour. On an average, how many minutes per hour does the train stop during the journey?
- (a)20 minutes per hour
- (b)18 minutes per hour
- (c)15 minutes per hour
- (d)10 minutes per hour
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Official answer(a) 20 minutes per hour