Latest TCS Aptitude Question SOLUTION: Four of the six numbers is 1867456,1993764,2019657,2025189,2109472,2121346 have a mean of 2068916.What is the mean of other two numbers a)2006710.5 b)2067330.5 c)19

Add all the 6 numbers. Then subtract (2068916*4) from their sum. Then divide that value by 2. Thats the answer.

ans:) C
mean of last four numbers is 2068916(thts clearly appears)....so mean of first two numbrs is 1930610

c
mean of four numbers is 2068916 we know we get this (sum of four numbers)/4
so multiply 2068916*4 =8275664 just observe last digit it is 4
add any of four numbers last digits vch give 4 .

PLEASE PROVIDE ANSWERS



21. arun makes a popular a brand of icecream in a rectangular shapeds bar 6cm long,5cm wide and 2cm thick to cut costs the company has decided to reduce the volume of the bar by 19% the thickness will remain the same but the length and width will be reduced by same percentage the new width will be a)7.5 b)6.5 c)4.5 d)5.5

22. in a single throw with two dice find the probability that their sum is a multiple either of 3 or 4 a)1/3 b)5/9 c)17/36 d)1/2

23.the average temperature of june july and august was 31 degrees the average temperature of july august and september was 28 degrees if the temperature of june was 30 degrees find the temperature of september in degrees a)22 b) 19 c)20 d)21

24. jake can dig a well in 16 days paul can dig the same well in 24 days.jake,paul and hari together dig the well in 8 days. Hari alone can dig the well in a)48 days b)24 days c)96 days d)32 days


25.in copying a problem involving multiplication of two numbers as 76 instead of 67.his
answer was 288 larger than it should have been the correct answer to the multiplication problem is a)2144 b)5396 c)2278 d)5548
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26.of a set of 30 numbers average of first 10 numbers =average of last 20 numbers then the sum of the last 20 numbers is? a)sum of first ten numbers b)2* sum of first ten numbers c)cannot be determined d)4* sum of last ten numbers

27.construct the number 101102103104………………………149250 obtained by writing the numbers 101,102,……………..149,150 together what is the remainder when this number is divided by 9 a)0 b)8 c)2 d)3

28.five circles are drawn on a piece of paper and connected as shown each circle must be coloured red,blue and green two circles connected by a straight line may not be the same colour how many different ways are there to color the circles a)48 b)24 c)36 d)64







29.the number 232 -1 has several divisors greater than 1 and less than 100.the sum of these divisors is clue:22n+1 is a prime for n=1,2,3,4 a)172 b)125 c)91 d)176

30.starting with number 3,repeat 30 times the operation of doubling and substracting then you get a)231+1 b)3*231 c)231-1 d)3*230

31.a mother her little daughter and her just born infant boy together stood on a weighing machine which shows 74kgs.how much does the daughter weigh if the mother weighs 46kg more than the combined weight of daughter and the infant and the infant weighs 60% less than the daughter a)9 b)11 c)cannot be determined d)10

32.a chessboard of size 10*10 using alternative black and white squares is displayed on a computer screen one can reverse the color in a selected rectangular subarray of the squares by pressing ctrl+R find the minimum number of times one needs to press ctrl+R to make all the square the same color,either all black or all white clue:how many times one must press ctrl+R to convert the chessboard into alternate black and white strips a)10 b)20 c)9 d)50

33.the number 64 is divisible by its units digit (4).how many whole number less than 64 are divisible by these respective units digit a)26 b)32 c)44 d)23

34.Rs19266 is distributed among a b c such that a gets 4/45 of what b and c get together and c gets 7/12 of what a and b gets together. Find c share a)7098 b)6084 c)4056 d)8112

35.given the digits 1,3,6,9 find the probability that a 3 digit number formed by using them with no digit repeated is divisible by 4 a)1/12 b)1/4 c)1/6 d)none

36.a student rolls two 6 sided red die and one 6 sided blue die what is the probability that number shown on the blue die exceeds both the number on the red die a)1/6 b)5/36 c)55/216 d)1/2

37.y can do a work in 2/3 the time it takes x, z can do same work in ¾ time it takes y. when all three are typing the same time what is the fraction of total work does y do a)4/13 b)8/29 c)1/3 d)9/23

38.the tcs office at siruseri is at a distance of 21km from baburaj’s home.when he leaves home 10 minutes late his travel time increases by 40% if leaving late decreases his average speed by 12kmph how long does his commute take when he leaves on time a)1 hour b)21minutes c)30 minutes d)40 minutes

39.i just finished three marbles games and have twenty one marbles. In the first game ,I lost half my marbles. In the second game I won eleven times what I had at the end of first game. In the third game ,I won 9 marbles. How many marbles did I have when I started playing a)8 b)6 c)2 d)4

40.in a certain tournament certain rules are followed: any player is eliminated the moment he losses for the third time (irrespective of how many wins he has), any player can play another player any number of times. If 512 contestants enter the tournament what is the largest number of games that could be played? A)1535 b)1533 c)1536 d)1534


41.a school bus has 15 rows with two benches each ;each bench seats three. Sara prefers to sit directly next to megan . Tomas prefers to sit next to sara ,possibly across the aisle from her megan has no preference no child sits in the same seat twice if the children ride the bus to school and back every day which is the trip they need to break the preference for the first time? A)the trip to home on 22nd day. B) the trip to school on 23rd day. C) the trip to home on 23rd day. D) the trip to school on 24nrthd day.

Someone have any shortcut for such problem ??

Gopal ...How did u observed tht mean of last 4 numbers is given ??? is it becoz last 4 numbers are around/nearby 2068916 ???

Check the mean of last 4 terms 2019657+2025189+2109472+2121346 it comes to be 2068916 so we are left only with first two terms 1867456 nd 1993764 so mean of these two comes out 1930610

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1)A number in integer base n when written in base n-1 becomes 1030n-1 .The same number when written in base n+1 becomes 444n+1.The original number written in base 10 is
a)436 b)364 c)463 d)634
2)In a test containing 16 questions , contestants get a base core of 20 points for taking the test. 5 points for each correctly answered question and 2 points for each unanswered question.An incorrectly answered question is worth 0 points.Of the following scores which one is not attainable
a)96 b)97 c)94 d)95
3)A certain sum of money is sufficient to pay either George wages for 15 days or Mark wages for 10 days .For how long will it be sufficient if both George and Mark work together ?
a)5 b)6 c)9 d)8
4)A vendor of electronic gadgets priced his gadgets at Rs.146 per gadget but there were no buyers at all. There after he reduced the price of the gadgets (reprising it again to a whole number of rupees) and managed to sell all of them realizing RS.30960.Which of the following was a possible number of gadgets he had
a)217 b)43 c)215 d)195
5)Sum of the two numbers is 45.The sum of their quotient and its reciprocal is 2.05.The product of numbers is
a)450 b)205 c)400 d)500

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6)Find the number of divisors of 1728 (including 1 and 1728)
a)28 b)20 c)30 d)18
7)In 4 years Raj father will be twice raj age then , where as two years ago his mother was twice his age . If Raj is going to be 32 years old eight years from now then what is the sum of his parents age now.
a)96 b)100 c)102 d)98
8)A number when divided by 406 leaves a remainder 115.What remainder would be obtained by dividing the same number by 29 ?
a)27 b)7 c)28 d)19
9)Value of scooter depreciate 4/5th at end of each year.Intial value of scooter is 70000.End value after 3 years is
10)The savings of an employee equals income minus expenditure .If the incomes of A,B,C are in the ratio is 1:2:3 and their expenses ratio is 3:2:1 then what is the order of the employees A,B,C in increase order of the size of their savings
11)Raj divided 50 into two parts such tha the sum of their reciprocal is 1/12 ,we get the parts as
12)A train travelling at a constant rate of 80 KMPH enters a tunnel 7 KM long at precisely 5/;12 AM .At 5:18 AM the end of the train exits the tunnel .The length of the train in KM is
a)1.5 b)1.2 c)2 d)1
13)Consider set of 4 digits numbers all of whose digits are distinct (The number cant start with 0 but may have 0 among other digits) .For example the set will contain 1492 & 1234 but not 1231.If we list all the numbers in the ascending order how many number will come before 1239?
a)71 b)70 c)69 d)68
14)5 distinguishable coins each with probability of head 3/5 are tossed once .What is the probability of seeing exactly 2 tails
a)(20/9)*(3/4)4 b)NONE c)20*(3/4)4 d)(40/9)*(3/5)5
15)Sum of 2nd and 19th elements of an arithmetic progression is equal to 8,12,15 element of progression .Then which element f the series should necessarily be equal to zero
a)21 b)18 c)13 d)14
16) (P/Q) – (Q/P) =21/10 ; (4P/Q) + (4Q/P) =?
a)58/10 b)113/10 c)59/5 d)121/110
17)Two poles of height 6M &11M stand vertically upright on a plain ground .If the distance between their feet is 12M .Find distance between their tops
a)11M b)12M c)13M d)14M
18)In the island of punycity license plates for cars consists of 3 letters. 2 license plates are considered if and only if they contain the same 3 letters in the same order .How many punycity license plates are possible if the letter Q cannot occur as the last character and can only occur when the letter immediately after it is U ?
a)17575 b)15625 c)15675 d)17650
19)The positive integers 1,2,3,… are arranged in azig-zag patters as shown. In which row will 1790 appear?
A 1 9
B 2 8 10
C 3 7 11
D 4 6 12
E 5 13
a)D b)E c)C d)A
20)36 students took a final exam on which the passing score was 70.The mean score of those who passed was 78,the mean score of those failed was 60 and mean of all scores was 71.How many students didn’t pass the exam
a)10 b)16 c)12 d)14
21)We are given the following sequence
PROBLEMSOLVINGPROBLEMSOLVINGPRO……. If the pattern continues ,what letter will be in the 2015th position
a)G b)N c)B d)O
22)If the figure shows a 4 by 4 grid of p

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1)A number in integer base n when written in base n-1 becomes 1030n-1 .The same number when written in base n+1 becomes 444n+1.The original number written in base 10 is
a)436 b)364 c)463 d)634
2)In a test containing 16 questions , contestants get a base core of 20 points for taking the test. 5 points for each correctly answered question and 2 points for each unanswered question.An incorrectly answered question is worth 0 points.Of the following scores which one is not attainable
a)96 b)97 c)94 d)95
3)A certain sum of money is sufficient to pay either George wages for 15 days or Mark wages for 10 days .For how long will it be sufficient if both George and Mark work together ?
a)5 b)6 c)9 d)8
4)A vendor of electronic gadgets priced his gadgets at Rs.146 per gadget but there were no buyers at all. There after he reduced the price of the gadgets (reprising it again to a whole number of rupees) and managed to sell all of them realizing RS.30960.Which of the following was a possible number of gadgets he had
a)217 b)43 c)215 d)195
5)Sum of the two numbers is 45.The sum of their quotient and its reciprocal is 2.05.The product of numbers is
a)450 b)205 c)400 d)500

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6)Find the number of divisors of 1728 (including 1 and 1728)
a)28 b)20 c)30 d)18
7)In 4 years Raj father will be twice raj age then , where as two years ago his mother was twice his age . If Raj is going to be 32 years old eight years from now then what is the sum of his parents age now.
a)96 b)100 c)102 d)98
8)A number when divided by 406 leaves a remainder 115.What remainder would be obtained by dividing the same number by 29 ?
a)27 b)7 c)28 d)19
9)Value of scooter depreciate 4/5th at end of each year.Intial value of scooter is 70000.End value after 3 years is
10)The savings of an employee equals income minus expenditure .If the incomes of A,B,C are in the ratio is 1:2:3 and their expenses ratio is 3:2:1 then what is the order of the employees A,B,C in increase order of the size of their savings
11)Raj divided 50 into two parts such tha the sum of their reciprocal is 1/12 ,we get the parts as
12)A train travelling at a constant rate of 80 KMPH enters a tunnel 7 KM long at precisely 5/;12 AM .At 5:18 AM the end of the train exits the tunnel .The length of the train in KM is
a)1.5 b)1.2 c)2 d)1
13)Consider set of 4 digits numbers all of whose digits are distinct (The number cant start with 0 but may have 0 among other digits) .For example the set will contain 1492 & 1234 but not 1231.If we list all the numbers in the ascending order how many number will come before 1239?
a)71 b)70 c)69 d)68
14)5 distinguishable coins each with probability of head 3/5 are tossed once .What is the probability of seeing exactly 2 tails
a)(20/9)*(3/4)4 b)NONE c)20*(3/4)4 d)(40/9)*(3/5)5
15)Sum of 2nd and 19th elements of an arithmetic progression is equal to 8,12,15 element of progression .Then which element f the series should necessarily be equal to zero
a)21 b)18 c)13 d)14
16) (P/Q) – (Q/P) =21/10 ; (4P/Q) + (4Q/P) =?
a)58/10 b)113/10 c)59/5 d)121/110
17)Two poles of height 6M &11M stand vertically upright on a plain ground .If the distance between their feet is 12M .Find distance between their tops
a)11M b)12M c)13M d)14M
18)In the island of punycity license plates for cars consists of 3 letters. 2 license plates are considered if and only if they contain the same 3 letters in the same order .How many punycity license plates are possible if the letter Q cannot occur as the last character and can only occur when the letter immediately after it is U ?
a)17575 b)15625 c)15675 d)17650
19)The positive integers 1,2,3,… are arranged in azig-zag patters as shown. In which row will 1790 appear?
A 1 9
B 2 8 10
C 3 7 11
D 4 6 12
E 5 13
a)D b)E c)C d)A
20)36 students took a final exam on which the passing score was 70.The mean score of those who passed was 78,the mean score of those failed was 60 and mean of all scores was 71.How many students didn’t pass the exam
a)10 b)16 c)12 d)14
21)We are given the following sequence
PROBLEMSOLVINGPROBLEMSOLVINGPRO……. If the pattern continues ,what letter will be in the 2015th position
a)G b)N c)B d)O
22)If the figure shows a 4 by 4 grid of p

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1)A number in integer base n when written in base n-1 becomes 1030n-1 .The same number when written in base n+1 becomes 444n+1.The original number written in base 10 is
a)436 b)364 c)463 d)634
2)In a test containing 16 questions , contestants get a base core of 20 points for taking the test. 5 points for each correctly answered question and 2 points for each unanswered question.An incorrectly answered question is worth 0 points.Of the following scores which one is not attainable
a)96 b)97 c)94 d)95
3)A certain sum of money is sufficient to pay either George wages for 15 days or Mark wages for 10 days .For how long will it be sufficient if both George and Mark work together ?
a)5 b)6 c)9 d)8
4)A vendor of electronic gadgets priced his gadgets at Rs.146 per gadget but there were no buyers at all. There after he reduced the price of the gadgets (reprising it again to a whole number of rupees) and managed to sell all of them realizing RS.30960.Which of the following was a possible number of gadgets he had
a)217 b)43 c)215 d)195
5)Sum of the two numbers is 45.The sum of their quotient and its reciprocal is 2.05.The product of numbers is
a)450 b)205 c)400 d)500

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6)Find the number of divisors of 1728 (including 1 and 1728)
a)28 b)20 c)30 d)18
7)In 4 years Raj father will be twice raj age then , where as two years ago his mother was twice his age . If Raj is going to be 32 years old eight years from now then what is the sum of his parents age now.
a)96 b)100 c)102 d)98
8)A number when divided by 406 leaves a remainder 115.What remainder would be obtained by dividing the same number by 29 ?
a)27 b)7 c)28 d)19
9)Value of scooter depreciate 4/5th at end of each year.Intial value of scooter is 70000.End value after 3 years is
10)The savings of an employee equals income minus expenditure .If the incomes of A,B,C are in the ratio is 1:2:3 and their expenses ratio is 3:2:1 then what is the order of the employees A,B,C in increase order of the size of their savings
11)Raj divided 50 into two parts such tha the sum of their reciprocal is 1/12 ,we get the parts as
12)A train travelling at a constant rate of 80 KMPH enters a tunnel 7 KM long at precisely 5/;12 AM .At 5:18 AM the end of the train exits the tunnel .The length of the train in KM is
a)1.5 b)1.2 c)2 d)1
13)Consider set of 4 digits numbers all of whose digits are distinct (The number cant start with 0 but may have 0 among other digits) .For example the set will contain 1492 & 1234 but not 1231.If we list all the numbers in the ascending order how many number will come before 1239?
a)71 b)70 c)69 d)68
14)5 distinguishable coins each with probability of head 3/5 are tossed once .What is the probability of seeing exactly 2 tails
a)(20/9)*(3/4)4 b)NONE c)20*(3/4)4 d)(40/9)*(3/5)5
15)Sum of 2nd and 19th elements of an arithmetic progression is equal to 8,12,15 element of progression .Then which element f the series should necessarily be equal to zero
a)21 b)18 c)13 d)14
16) (P/Q) – (Q/P) =21/10 ; (4P/Q) + (4Q/P) =?
a)58/10 b)113/10 c)59/5 d)121/110
17)Two poles of height 6M &11M stand vertically upright on a plain ground .If the distance between their feet is 12M .Find distance between their tops
a)11M b)12M c)13M d)14M
18)In the island of punycity license plates for cars consists of 3 letters. 2 license plates are considered if and only if they contain the same 3 letters in the same order .How many punycity license plates are possible if the letter Q cannot occur as the last character and can only occur when the letter immediately after it is U ?
a)17575 b)15625 c)15675 d)17650
19)The positive integers 1,2,3,… are arranged in azig-zag patters as shown. In which row will 1790 appear?
A 1 9
B 2 8 10
C 3 7 11
D 4 6 12
E 5 13
a)D b)E c)C d)A
20)36 students took a final exam on which the passing score was 70.The mean score of those who passed was 78,the mean score of those failed was 60 and mean of all scores was 71.How many students didn’t pass the exam
a)10 b)16 c)12 d)14
21)We are given the following sequence
PROBLEMSOLVINGPROBLEMSOLVINGPRO……. If the pattern continues ,what letter will be in the 2015th position
a)G b)N c)B d)O
22)If the figure shows a 4 by 4 grid of p

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1)A number in integer base n when written in base n-1 becomes 1030n-1 .The same number when written in base n+1 becomes 444n+1.The original number written in base 10 is
a)436 b)364 c)463 d)634
2)In a test containing 16 questions , contestants get a base core of 20 points for taking the test. 5 points for each correctly answered question and 2 points for each unanswered question.An incorrectly answered question is worth 0 points.Of the following scores which one is not attainable
a)96 b)97 c)94 d)95
3)A certain sum of money is sufficient to pay either George wages for 15 days or Mark wages for 10 days .For how long will it be sufficient if both George and Mark work together ?
a)5 b)6 c)9 d)8
4)A vendor of electronic gadgets priced his gadgets at Rs.146 per gadget but there were no buyers at all. There after he reduced the price of the gadgets (reprising it again to a whole number of rupees) and managed to sell all of them realizing RS.30960.Which of the following was a possible number of gadgets he had
a)217 b)43 c)215 d)195
5)Sum of the two numbers is 45.The sum of their quotient and its reciprocal is 2.05.The product of numbers is
a)450 b)205 c)400 d)500

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6)Find the number of divisors of 1728 (including 1 and 1728)
a)28 b)20 c)30 d)18
7)In 4 years Raj father will be twice raj age then , where as two years ago his mother was twice his age . If Raj is going to be 32 years old eight years from now then what is the sum of his parents age now.
a)96 b)100 c)102 d)98
8)A number when divided by 406 leaves a remainder 115.What remainder would be obtained by dividing the same number by 29 ?
a)27 b)7 c)28 d)19
9)Value of scooter depreciate 4/5th at end of each year.Intial value of scooter is 70000.End value after 3 years is
10)The savings of an employee equals income minus expenditure .If the incomes of A,B,C are in the ratio is 1:2:3 and their expenses ratio is 3:2:1 then what is the order of the employees A,B,C in increase order of the size of their savings
11)Raj divided 50 into two parts such tha the sum of their reciprocal is 1/12 ,we get the parts as
12)A train travelling at a constant rate of 80 KMPH enters a tunnel 7 KM long at precisely 5/;12 AM .At 5:18 AM the end of the train exits the tunnel .The length of the train in KM is
a)1.5 b)1.2 c)2 d)1
13)Consider set of 4 digits numbers all of whose digits are distinct (The number cant start with 0 but may have 0 among other digits) .For example the set will contain 1492 & 1234 but not 1231.If we list all the numbers in the ascending order how many number will come before 1239?
a)71 b)70 c)69 d)68
14)5 distinguishable coins each with probability of head 3/5 are tossed once .What is the probability of seeing exactly 2 tails
a)(20/9)*(3/4)4 b)NONE c)20*(3/4)4 d)(40/9)*(3/5)5
15)Sum of 2nd and 19th elements of an arithmetic progression is equal to 8,12,15 element of progression .Then which element f the series should necessarily be equal to zero
a)21 b)18 c)13 d)14
16) (P/Q) – (Q/P) =21/10 ; (4P/Q) + (4Q/P) =?
a)58/10 b)113/10 c)59/5 d)121/110
17)Two poles of height 6M &11M stand vertically upright on a plain ground .If the distance between their feet is 12M .Find distance between their tops
a)11M b)12M c)13M d)14M
18)In the island of punycity license plates for cars consists of 3 letters. 2 license plates are considered if and only if they contain the same 3 letters in the same order .How many punycity license plates are possible if the letter Q cannot occur as the last character and can only occur when the letter immediately after it is U ?
a)17575 b)15625 c)15675 d)17650
19)The positive integers 1,2,3,… are arranged in azig-zag patters as shown. In which row will 1790 appear?
A 1 9
B 2 8 10
C 3 7 11
D 4 6 12
E 5 13
a)D b)E c)C d)A
20)36 students took a final exam on which the passing score was 70.The mean score of those who passed was 78,the mean score of those failed was 60 and mean of all scores was 71.How many students didn’t pass the exam
a)10 b)16 c)12 d)14
21)We are given the following sequence
PROBLEMSOLVINGPROBLEMSOLVINGPRO……. If the pattern continues ,what letter will be in the 2015th position
a)G b)N c)B d)O
22)If the figure shows a 4 by 4 grid of p

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1)A number in integer base n when written in base n-1 becomes 1030n-1 .The same number when written in base n+1 becomes 444n+1.The original number written in base 10 is
a)436 b)364 c)463 d)634
2)In a test containing 16 questions , contestants get a base core of 20 points for taking the test. 5 points for each correctly answered question and 2 points for each unanswered question.An incorrectly answered question is worth 0 points.Of the following scores which one is not attainable
a)96 b)97 c)94 d)95
3)A certain sum of money is sufficient to pay either George wages for 15 days or Mark wages for 10 days .For how long will it be sufficient if both George and Mark work together ?
a)5 b)6 c)9 d)8
4)A vendor of electronic gadgets priced his gadgets at Rs.146 per gadget but there were no buyers at all. There after he reduced the price of the gadgets (reprising it again to a whole number of rupees) and managed to sell all of them realizing RS.30960.Which of the following was a possible number of gadgets he had
a)217 b)43 c)215 d)195
5)Sum of the two numbers is 45.The sum of their quotient and its reciprocal is 2.05.The product of numbers is
a)450 b)205 c)400 d)500

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6)Find the number of divisors of 1728 (including 1 and 1728)
a)28 b)20 c)30 d)18
7)In 4 years Raj father will be twice raj age then , where as two years ago his mother was twice his age . If Raj is going to be 32 years old eight years from now then what is the sum of his parents age now.
a)96 b)100 c)102 d)98
8)A number when divided by 406 leaves a remainder 115.What remainder would be obtained by dividing the same number by 29 ?
a)27 b)7 c)28 d)19
9)Value of scooter depreciate 4/5th at end of each year.Intial value of scooter is 70000.End value after 3 years is
10)The savings of an employee equals income minus expenditure .If the incomes of A,B,C are in the ratio is 1:2:3 and their expenses ratio is 3:2:1 then what is the order of the employees A,B,C in increase order of the size of their savings
11)Raj divided 50 into two parts such tha the sum of their reciprocal is 1/12 ,we get the parts as
12)A train travelling at a constant rate of 80 KMPH enters a tunnel 7 KM long at precisely 5/;12 AM .At 5:18 AM the end of the train exits the tunnel .The length of the train in KM is
a)1.5 b)1.2 c)2 d)1
13)Consider set of 4 digits numbers all of whose digits are distinct (The number cant start with 0 but may have 0 among other digits) .For example the set will contain 1492 & 1234 but not 1231.If we list all the numbers in the ascending order how many number will come before 1239?
a)71 b)70 c)69 d)68
14)5 distinguishable coins each with probability of head 3/5 are tossed once .What is the probability of seeing exactly 2 tails
a)(20/9)*(3/4)4 b)NONE c)20*(3/4)4 d)(40/9)*(3/5)5
15)Sum of 2nd and 19th elements of an arithmetic progression is equal to 8,12,15 element of progression .Then which element f the series should necessarily be equal to zero
a)21 b)18 c)13 d)14
16) (P/Q) – (Q/P) =21/10 ; (4P/Q) + (4Q/P) =?
a)58/10 b)113/10 c)59/5 d)121/110
17)Two poles of height 6M &11M stand vertically upright on a plain ground .If the distance between their feet is 12M .Find distance between their tops
a)11M b)12M c)13M d)14M
18)In the island of punycity license plates for cars consists of 3 letters. 2 license plates are considered if and only if they contain the same 3 letters in the same order .How many punycity license plates are possible if the letter Q cannot occur as the last character and can only occur when the letter immediately after it is U ?
a)17575 b)15625 c)15675 d)17650
19)The positive integers 1,2,3,… are arranged in azig-zag patters as shown. In which row will 1790 appear?
A 1 9
B 2 8 10
C 3 7 11
D 4 6 12
E 5 13
a)D b)E c)C d)A
20)36 students took a final exam on which the passing score was 70.The mean score of those who passed was 78,the mean score of those failed was 60 and mean of all scores was 71.How many students didn’t pass the exam
a)10 b)16 c)12 d)14
21)We are given the following sequence
PROBLEMSOLVINGPROBLEMSOLVINGPRO……. If the pattern continues ,what letter will be in the 2015th position
a)G b)N c)B d)O
22)If the figure shows a 4 by 4 grid of p

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1)A number in integer base n when written in base n-1 becomes 1030n-1 .The same number when written in base n+1 becomes 444n+1.The original number written in base 10 is
a)436 b)364 c)463 d)634
2)In a test containing 16 questions , contestants get a base core of 20 points for taking the test. 5 points for each correctly answered question and 2 points for each unanswered question.An incorrectly answered question is worth 0 points.Of the following scores which one is not attainable
a)96 b)97 c)94 d)95
3)A certain sum of money is sufficient to pay either George wages for 15 days or Mark wages for 10 days .For how long will it be sufficient if both George and Mark work together ?
a)5 b)6 c)9 d)8
4)A vendor of electronic gadgets priced his gadgets at Rs.146 per gadget but there were no buyers at all. There after he reduced the price of the gadgets (reprising it again to a whole number of rupees) and managed to sell all of them realizing RS.30960.Which of the following was a possible number of gadgets he had
a)217 b)43 c)215 d)195
5)Sum of the two numbers is 45.The sum of their quotient and its reciprocal is 2.05.The product of numbers is
a)450 b)205 c)400 d)500

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6)Find the number of divisors of 1728 (including 1 and 1728)
a)28 b)20 c)30 d)18
7)In 4 years Raj father will be twice raj age then , where as two years ago his mother was twice his age . If Raj is going to be 32 years old eight years from now then what is the sum of his parents age now.
a)96 b)100 c)102 d)98
8)A number when divided by 406 leaves a remainder 115.What remainder would be obtained by dividing the same number by 29 ?
a)27 b)7 c)28 d)19
9)Value of scooter depreciate 4/5th at end of each year.Intial value of scooter is 70000.End value after 3 years is
10)The savings of an employee equals income minus expenditure .If the incomes of A,B,C are in the ratio is 1:2:3 and their expenses ratio is 3:2:1 then what is the order of the employees A,B,C in increase order of the size of their savings
11)Raj divided 50 into two parts such tha the sum of their reciprocal is 1/12 ,we get the parts as
12)A train travelling at a constant rate of 80 KMPH enters a tunnel 7 KM long at precisely 5/;12 AM .At 5:18 AM the end of the train exits the tunnel .The length of the train in KM is
a)1.5 b)1.2 c)2 d)1
13)Consider set of 4 digits numbers all of whose digits are distinct (The number cant start with 0 but may have 0 among other digits) .For example the set will contain 1492 & 1234 but not 1231.If we list all the numbers in the ascending order how many number will come before 1239?
a)71 b)70 c)69 d)68
14)5 distinguishable coins each with probability of head 3/5 are tossed once .What is the probability of seeing exactly 2 tails
a)(20/9)*(3/4)4 b)NONE c)20*(3/4)4 d)(40/9)*(3/5)5
15)Sum of 2nd and 19th elements of an arithmetic progression is equal to 8,12,15 element of progression .Then which element f the series should necessarily be equal to zero
a)21 b)18 c)13 d)14
16) (P/Q) – (Q/P) =21/10 ; (4P/Q) + (4Q/P) =?
a)58/10 b)113/10 c)59/5 d)121/110
17)Two poles of height 6M &11M stand vertically upright on a plain ground .If the distance between their feet is 12M .Find distance between their tops
a)11M b)12M c)13M d)14M
18)In the island of punycity license plates for cars consists of 3 letters. 2 license plates are considered if and only if they contain the same 3 letters in the same order .How many punycity license plates are possible if the letter Q cannot occur as the last character and can only occur when the letter immediately after it is U ?
a)17575 b)15625 c)15675 d)17650
19)The positive integers 1,2,3,… are arranged in azig-zag patters as shown. In which row will 1790 appear?
A 1 9
B 2 8 10
C 3 7 11
D 4 6 12
E 5 13
a)D b)E c)C d)A
20)36 students took a final exam on which the passing score was 70.The mean score of those who passed was 78,the mean score of those failed was 60 and mean of all scores was 71.How many students didn’t pass the exam
a)10 b)16 c)12 d)14
21)We are given the following sequence
PROBLEMSOLVINGPROBLEMSOLVINGPRO……. If the pattern continues ,what letter will be in the 2015th position
a)G b)N c)B d)O
22)If the figure shows a 4 by 4 grid of p

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5. If (3a+6b)/(5a+12b) =(12/23) determine the value of (3a2 +5b2 )/(abs) a)9 b)19/2 c)32/3 d)31/3

6. If 3

Assume numbers are 186,199,201,202,210,212 (to solve in a less time) .
Mean of 4 nos. chosen among them is given as 206 (again for simplicity).

We can guess 201,202,210,212 as the chosen numbers since they are close to the mean .
Therefore, required Q becomes mean of 186,199 is ?

Ans : 193 which is (c)