Q1) The ratio of the areas of the in circle and circum circle of an equilateral triangle is
a) 1: 4
b) 11:9
c) 12:1
d) 11:3
Q2). A circular road runs round a circular ground. If the difference between the circumference of the outer circle and inner circle is 44 meters, the width of the road is.
a) 7m
b) 11m
c) 22m
d) 44m
Q3). A rectangle plate has an area of 80 sqm. If its length is 5 times than the breadth, then length of the plate is
a). 16
b) 20
c) 4
d) 80
Q4). Three spherical metal balls of radii 6cm,8cm and R cm are melted into a solid sphere of radius 12cm. The value of R is
a) 5cm
b) 6cm
c) 8cm
d) 10cm
Q5). If a/b = 1/3 and 3a + 2b = 6 then, b is
a) 3
b) 6
c) 2
d) 1
Q6). The digits of the integral part of the square root of 123456789 is
a) 6
b) 5
c) 8
d) 3
Q7). The sum of all multiples of 6 lying between 50 and 100 is
a) 600
b) 96
c) 150
d) none
Q8). The greatest factor of the product of any four consecutive integral number in all cases, is
a) 25
b) 24
c) 16
d) 20
Q9). Two third of the square of a number is 1.5, the number is
a) 1
b) 1.5
c) 2.5
d) 2/3
Q10). Two persons cover the same distance 5 kmph and 6 kmph respectively. Find the distance traveled by each., if one takes 16 minutes longer than the other.
a) 5
b) 60
c) 8
d) 16
Q11). The price of cycle is increased by 10% every year. If the present price of cycle is Rs. 1,210 , its price two years ago was ?
a) 1,000
b) 2,100
c) 1,700
d) 1,900
Q12). 10% 0f 25 is 5% of x. Then x
a) 10
b) 5
c) 100
d) 50
Q13). If the side of the square is increased by 20% then the area of the square is increased by
a) 69%
b) 96%
c) 44%
d) 10%
Q14). If G is finite group of order 3, then
a) G is always abelian
b) G is always non-abelian
c) G may be abelian
d) none
Q15). Let Q be the set of all rational numbers and P be the set of all irrational numbers. Then
a) P is closed for addition but Q is not closed for addition
b) P as well as Q is closed for addition
c) Q is closed for addition for Q is not closed for addition
d) none of the above
PAPER 2:
Q1). The length of rectangle is increased by 15% and its breadth is decreased by 15%. The are of new rectangle is
a) Decreased by 15%
b) Decreased by 2.25%
c) Increased by 15%
d) Increased by 2.25%
e) Neither increased nor decreased
Q2). Two trains are running at 60 km/hr and 40 km/hr in the same direction. Fast train completely passes the man sitting in the slow train in 36 seconds. The length of the fast train is
a) 200m
b) 160m
c) 240m
d) 180m
e) Cannot be determined
Q3). A,B and C can complete a piece of work in 10 days, then how many people are required to finish the whole work in 25 days?
a) 10 days
b) 15 days
c) 20 days
d) 22 days
e) 25 days
Q4). 12 persons can do 3/5 of certain work in 10 days, then how many persons are required to complete the whole work in 25 days?
a) 10
b) 9
c) 8
d) 7
e) 6
Q5). In an organization, 30% of the employees are matriculates, 60% of the remaining are graduates and the remaining 140 are post-graduates. How many employees are graduates?
a) 210
b) 280
c) 350
d) 160
e) None of these
Q6). If x: y = 3:4, then (2x+3y): (3y-2x) =
a) 2:1
b) 4:1
c) 3:2
d) 5:3
e) 3:1
Q7). A mixture of 50 litres of milk and water contain 10% of water. How much water must be added to make water 20% in the given mixture?
a) 5.5 litres
b) 6.5 litres
c) 6 litres
d) 6.25 litres
e) 6.75 litres
Q8). A dealer marks his goods 25% above cost price. He then allows some discount on it and makes a profit of 9%. The rate of discount is
a) 11.4%
b) 12.8%
c) 13.4%
d) 14.2%
e) 15.1%
Q9). A number lying between 1000 and 2000 is such that on division by 2,3,4,5,6,7 and 8 leaves remainders 1,2,3,4,5,6 and 7 respectively. The number is
a) 1726
b) 1822
c) 1548
d) 1922
e) 1679
Q10). Three years ago the average of a family of 5 members was 17 years. A baby having born in between, the average age of the family is same today. When was the baby born?
a) 1 year ago
b) 2 years ago
c) 3 years ago
d) just today
e) none of the above
Q11). The sum of the digits of a two-digit number is 9 less than the number. Which of the following digits is at unit’s place of the number?
a) 1
b) 2
c) 4
d) 8
e) None
Q12). One year ago, Mrs kusuma was four time as old as her daughter Swathi. Six years hence, Mrs. Kusuma’s age will exceed her daughters age by 18 years. The ration of present ages of Kusuma and Swathi is
a) 25:7
b) 13:4
c) 25:9
d) 13:1
e) None of these
Q13). The calendar for year 1994 will serve as calendar for
a) 1998
b) 2002
c) 2003
d) 2004
e) 2005
Q14). The minute hand of clock overtakes the hour hand at intervals of 63 minutes of correct time. How much a day does the clock gain or loose?
a) Gains 10 10/43 minutes
b) Gains 56 8/77 minutes
c) Loses 10 10/43 minutes
d) Loses 56 8/77 minutes
e) None of these
Q15). The expression (11.98 * 11.98 + 11.98 * X + 0.02 * 0.02 ) will be a perfect square for X equal to:
a) 0.01
b) 0.02
c) 0.03
d) 0.04
e) 0.05
PAPER 3:
1. Six years ago I was three times as old as my brother, and now I am twice as old my brother. Find my brother’s age.
a) 8 years b) 24 years c) 12 years d) 16 years
2. A boy standing idle sounds a whistle to his friend at a distance of 1200 m moving away from him in a speeding car at 108 kms /hr. Find the duration after which his friend is going to hear him. (Speed of sound = 330m/sec).
a) 3.6 secs b) 4.00 secs c) 40 secs d) None of these
3. Sneh’s age is 1/6th of her father’s age. Sneh’s father’s age will be twice of Vimal’s age after 10 years. If Vimal’s eighth birthday was celebrated two years before, what is Sneh’s present age?
a) 24 years b) 30 years c) 6 2/3 years d) None of these
4. Three years ago the average of A and B was 18 Years. With C joining them now, the average becomes 22 years. How old is C now?
a) 24 years b) 27 years c) 28 years d) 30 years
5. A train traveling at 42 kms/ hr passes a cyclist going in the same direction in 9 secs. If the cyclist had been going in the opposite direction, the train would have passed him in 5 secs. Find the length of the train.
a) 75 meters b) 60 meters c) 90 meters d) 80 meters
6. A person walks a distance of 18 kms at a particular speed. For the next 30 kms he increases his speed by 2 kmph. Had he walked the entire distance at 3 kmph more than his initial speed, he would have reached 4 hours earlier. Find his initial speed.
a) 3 kms/hr b) 2 kms/hr c) 4 kms/hr d) None of these
7. A man starts from B to K, another starts from K to B, at the same time. After passing each other they complete their journeys in 3.33 and 4.80 hours respectively. Find the speed of the second man if the speed of the first is 12 km/ hr
a) 12 kms/hr b) 10 kms/hr c) 14 kms/hr d) Data inadequate
8. A train traveling at 40 kms / hr while inside the tunnel meets another train of half its length traveling at 60 kms / hr and passes it completely in 4.5 seconds. Find the length of the tunnel if the first train passes completely through it in 4 minutes 37.5 seconds.
a) 2000 meters b) 3000 meters c) 4000 meters d) 5000 meters
9. When a stone is dropped from a building 200 m high, its speed is proportional to the time elapsed after dropping. The distance traveled is proportional to the square of the time elapsed. After 1 second the speed of the train was 10 m/sec and it was 190 m above the ground. When its speed is 25 m/sec, what would be its distance from the ground?
a) 140 m b) 137.5 m c) 125.75 m d) 142.5 m
10. The ratio of 3x years from now?
a) 18 b) 24 c) 30 d) 54
11. If A is 25 kms east of B, which is 12 kms south of C, which is 9 kms west of D. A person starts walking at 3 kms/hr from A towards D. Calculate the distance of the point from A where he is going to meet a person from D walking towards A at 2 kms / hr.
a) 20 b) 12 c) 8 d) 20 sqrt (12*8)
12. Walking at 6/7th of his usual speed, a man is 25 mins too late. His usual time is
a) 7.5 hrs b) 1.5 hrs c) 2.5 hrs d) 1.67 hrs
13. Excluding stoppages, the speed of the bus is 54 kms /hr and with stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
a) 9 b) 10 c) 12 d) 20
14. The average age of 12 students is 20 years. If the age of one more student is included, the average decreases by 1, what is the age of the new student?
a) 5 b) 7 c) 9 d) 11
15. The ratio of the ages of Mona and Sona is 4:5. Twelve years hence, their ages will be in the ratio of 5:6. What will be Sona’s age after 6 years?
a) 8 b) 10 c) 12 d) 14
16. Conversation between two mathematicians:
First: I have three children. The product of their ages is 36. If you sum their ages, it is exactly same as my neighbor’s door number on my left. The second mathematician verifies the door number and says that it is not sufficient. Then the first says “Ok one more clue is that my youngest is really the youngest". Immediately the second mathematician answers. Can you answer the question asked by the first mathematician? What are the children ages?
17. A train after traveling 50 kms from A meets with an accident and proceeds at 4/5th of the former speed and reaches B, 45 min late. Had the accident happened 20 kms further on, it would have arrived 12 mins sooner. Find the original speed and the distance.
18. Recently, I decided to walk down an escalator of a tube station. I did some quick calculation in my mind. I found that if I walk down twenty – six steps, I require thirty seconds to reach the bottom. However, if I am able to step down thirty – four stairs, I would only require eighteen seconds to get to the bottom. If the time is measured from the moment the top step begins to descend to the time I step off the last step at the bottom, can you
PAPER 4:
1. An aircraft is flying at a height of 3000m from the ground at an average speed of 400 km/hr while descending. It has to travel 5 kms before it can touch down the runway and start operating its break system. It will take less than 10 seconds to reach the touch down point. How far it is from the touch down point if it had been on they ground.
a)5 kms b)4 kms c)3 kms d)none of these
2. water is continuously poured from a reservoir to a locality at the steady rate of 10,000 liters per hour. When delivery exceeds demand the excess water is stored in a tank. If the demand for 8 consecutive three-hour periods is 10000,10000,45000,25000,40000,15000,60000 and 35000 liters respectively, what will be the minimum capacity required of the water tank (in 1000 litres) to meet the demand?
a)10 b)30 c)40 d)50
ans:c)40
3. Jhaveri invested in Upendra&Upendra,Celco and Winger shares at Rs. 300,Rs.200 and Rs.5 per share respectively. He bought 100 shares for Rs.1000.The number of Upendra&Upendra and Celco shares he bought are respectively
a)23.17 b)17,23 c)17,60 d)15,25
ans:b)17,23
4. a certain organization has three committees. only two persons are members of all committees, but every pair of committees have three members in common. what is the least possible no of member of members on any one committee?
a)4 b)5 c)6 d) none of these.
ans:a)4
5. one bottle is half-full of oil and another bottle with twice the capacity is one quarter full of oil. if water is added so that both the bottles are full and the contents of both are then poured into a third bottle that is empty and large enough to hold the contents of both, what fractions of the contents in the third bottle is oil?
a)1/4 b)1/3 c)3/8 d)2/3
ans:b)1/3
6. don and his wife each receive an 8 percent annual raise. if don receives a raise rs.800 and his wife receives a raise of rs. 840, what is the difference between their annual income after their raises?
a)40 b)460 c)500 d)540
ans:d)540
7. if x+y+z=9 and both y and z are positive integers greater than zero, then the maximum value x can take is?
a.7 b.3 c.8 d. data insufficient
ans:a.7
8. if 5 tomatoes are worth 8 oranges,5 oranges are worth 4 apples, 7 apples are worth 3 pineapples and 7 pineapples cost rs.203,then he approx price of each tomato is
a.16 b.5 c.19 d. none of theses
ans: a.16
9. in the relation x>y+z,x+y>p and z necessarily true?
a. y>p b .x+y>z c. y+p>x d .insufficient data
ans: b.x+y>z
10. if x,y,z are three +ve integers such that x is greater than y and y is greater than z then which of the following is definitely true?
a. x% of y is greater than y% of z
b. y% of x is greater than z% of y
c. z% of x is greater than y% of z
d. all of these(ans)
11. amar,akbar, antony eat lunch at the same restaurant everyday.if amar orders a dosa,then akbar also orders adosa.either akbar or antony always orders a dosa,but never at the same lunch.either amar or antony or both order a dosa.if antony ordes a dosa ,then amar also orders a dosa.youy can conclude that:
a. amar, akbar, antony always order adosa.
b. amar and antony sometimes order a dosa,akbar never does.
c. amar and akbar always order a dosa, antony never does.(ANS)
d. amar and antony always order adosa,akbar never does.
12.ramesh,ram,kareem and Mohan collected coins of different countries. they collected 100 together. none collected less than 10.each collected an even number. each collected a different number. based on these, we can say that the number of coins collected by the boy who collected the most could not have exceeded
a.54 b.64(ans) c.58 d.60
13. let p,q,r and s be four statements such that:
if p is true, then q is true;
if q is true,then r is true and
if s is true,then at least one of q and r is false.
then it follows that:
a. if p is true then s is false.(ans)
b. if s is falsae both q and r are true.
c. if at least one of q and r is false then s is false.
d. if q is true then s is true.
14.players a to z play a league match in which every player plays a match against every other player. a win earns 2 points, a draw 1 point and loss 0 points. there were no draws, and no two players had the same total points. the rank list of the players happens to be the alphabetical list itself. which of the following statement is
true?
a. n wins over m b . m wins over n(ans)
c. m did not play against n d.none
15.an article costing rs.160 is sold at 15% discount on a mark-up price.what is the selling price after discount?
a.170(ans) b.200 c.150 d.220
PAPER 5:
Q. A man leaves office daily at 7pm A driver with car comes from his home to pick him from office and bring back home One day he gets free at 5:30 and instead of waiting for driver he starts walking towards home. In the way he meets the car and returns home on car He reaches home 20 minutes earlier than usual.
In how much time does the man reach home usually?
Ans. 1hr 20min
Q. The following truth table is given What is Y equal to??
A B C Y
0 0 0 1
0 0 1 1
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 1
1 1 1 1
Ans. (A')(B')(AB) , where ' stands for complement.
Q. A works thrice as much as B. If A takes 60 days less than B to do a work then find the number of days it would take to complete the work if both work together?
Ans. 22½days
Q. How many 1's are there in the binary form of 8*1024 + 3*64 + 3
Ans. 4
Q. In a digital circuit which was to implement (A B) + (A)XOR(B), the designer implements (A B) (A)XOR(B) What is the probability of error in it ?
Q. A boy has Rs 2. He wins or loses Re 1 at a time If he wins he gets Re 1 and if he loses the game he loses Re 1. He can loose only 5 times. He is out of the game if he earns Rs 5. Find the number of ways in which this is possible?
Ans. 16
Q. If there are 1024*1280 pixels on a screen and each pixel can have around 16 million colors Find the memory required for this?
Ans. 4MB
Q. On a particular day A and B decide that they would either speak the truth or will lie. C asks A whether he is speaking truth or lying? He answers and B listens to what he said. C then asks B what A has said B says "A says that he is a liar" What is B speaking ?
(a) Truth
(b) Lie
(c) Truth when A lies
(d) Cannot be determined
Ans. (b)
Q. What is the angle between the two hands of a clock when time is 8:30
Ans. 75(approx)
Q. A student is ranked 13th from right and 8th from left. How many students are there in totality ?
Q. A man walks east and turns right and then from there to his left and then 45degrees to his right. In which direction did he go
Ans. North west
Q. A student gets 70% in one subject, 80% in the other. To get an overall of 75% how much should get in third subject.
Q. A man shows his friend a woman sitting in a park and says that she the daughter of my grandmother's only son.
What is the relation between the two
Ans. Daughter
Q. A puts a share of 1/3, B puts a share of 1/2, and the remaining share is put by c,and start a business their total profit is Rs 4800, what is the share of A?
Q. what is the remainder of (3682*3684*3686) divided by 19?
Q. Mr. loyd wants to fence his Square shaped land of 120 Sqft each side.If apole is laid every 12ft how many poles do he need?
Q. if 105 is represented as 253 in base 6,how is 253 represented in base 6?
Q. the cost of 5 chairs and 3 mugs is Rs 1900, and the cost of 8 chairs and 5 mugs is Rs 2900, what is the cost of 5 chairs and 8 mugs?
Q. Mr Roy found an old bill which shows that he brought 10 hens for Rs_67.92_ the first and the last digits were missing. what was the cost of each hen?
Q. In a school football team the captain was the eldest of all with ,the next was the goal keeper with 26, in a particular match both the players were shown red cards. the average age of the remaining people raised by? what was the average age of the team.?
Q. In a school the number of girls is 15 more that that of the boys. now if 19% of the girls were newly joined and 25% of the boys were newly joined the number of girls is 9 more than that of the boys how many girls and boys were there?
Q. If m and n are multiple of 5 which one of the following must not necessarily be true.
a. m*n is a divisible by 10.
b. the product m*n is a multiple of 25.
c. m*n is a multile of 5.
Q.,if X.Y+Z, and Y+x.p and Z
a) x+z
b) x+y.z
c) y.x+z
d) z+P.x
Q. what is the values of x, in the equation |x|+x^3=0
Q. abel ,loyla and sel are three channels , if 30% of the populatio watch abel , and 5% of the people watch any two of the channel, and 5% of the people watch none off the channel then the number of people watching all the three channels are?
Q. If 35 people play hockey and 10 people play both football and hockey and if 10 people play hockey and cricket and 5 people play all three games then the number of people playing hockey alone is?
Q. How many number of weights do u need to weigh 31 kg of rice if u have only one 1kg weights stone ?
a. 30. b. 31. c.5. d.4.
Q. an article whose initial cost is Rs 400 is subjected for discounts of 25%, 15%, and 40% what is the amount the customer have to pay?
Q. two trains are coming in the opposite direction each at a speed of 60 kmph, now a fly on one train moves towards the other with a speed of 80kmph, how much distance will it cover before it is crushed.?
Q. a man walks at 40kmph and reaches the distance in 10 min less than that of usual . by walking at 60 kmph he reaches 10 minutes earlier. the distance covered by him is.?
Q. a contract was signed to complete a job in 30 days. after how many days can 5 men leave then so that the job can be completed in 35 days?
Q. If x and y are multiples of 2 then which are all the multiples of 2
1) x*y 2)x^y 3) x+y 4) x-Y 5) x/y
a. all of these
b.1,2,4,5
c. 1,2,5
d.1,2,3,4
Q. if 3636% of a number is 72, what is the number?
Q. if the average of 6 consecutive number is 27, then the largest of the number is?
Q. The ratio of two numbers is 2/3, and if a 1 is subtracted from the numerator and a 1 is added to the remainder the ratio becomes 1/2, then the numbers are.?
Q. a pizza which is thin is cut into 'x' pieces by 4 straight lines then the lowest possible value of x is?
Q. The number 50 is divided into two equal parts, the ratio of the largest part to the smallest is 2/3, then the largest part is?
PAPER 6:
1. if jacob sold a watch costing rs.400 to john at 15% profit and john sold the same to sudhir at 15% profit, what is the price paid by sudhir?
a.460 b.510 c.529(ans) d.560
2. In a shop 80% of the articles are sold at a profit of 10% and the remaining at a loss of 40%.what is the overall profit/loss?
a.10% profit b.10% loss c.15% profit d. no profit, no loss(ans)
3. if an article with marked price of rs.400 is sold at successive discount of 10%,25% and 15%,what is the price the customer has to pay?
a.360 b.300 c.230(ans) d.270
4. the sides of a triangle are in the ratio 37.if the perimeter is 60 cms, the longest side is
a.7 b.30 c.28(ans) d.14
5. an article with cost price of 180 is sold at 15% profit. what is the selling price?
a.198 b.200 c.204 d.207(ans)
6. what part of x*x is power(x,2/3)?
a.60% b.66.7% c.69% d.can't say(ans)
7. 15% of 75 is the same as vx% of 450.find x.
a.1 b.2.5(ans) c.3 d.5
8. if the selling price of an object is rs.2300 and the profit percent is 15,what is the cost price?
a.1995(ans) b.1945 c.2000 d.2645
9.70% of x is greater than 1/3rd of x by 110.what is x?
a.100 b.200 c.300 d.350(ans)
10. the age of a and b are in the ratio 4:5 and of b and c in the ratio 3:2.the youngedt of three is
a.a b.b c.c(ans) d.can't say
11. a man buys postage stamps of denomination of 30ps. and 50 ps. for rs.10.00. he buys 22 stamps in all. find the no of 30ps. stamps bought by him.
a.5(ans) b.6 c.17 d.8
12. the ages of a and b are in the ratio 9:4. after 7 years the ratio of their aghes will be 5:3.find b's present age.
a.18 b.8(ans) c.7 d.16
13. if 28 is divided into two parts such that one fourth of the greater part is equal to one third of the lesser part,then the greater part is
a.16(ans) b.18 c.20 d.24
14.a man and a woman, walking together start out by both taking a step with the left foot. in order to keep together, the man whose stride is longer, takes two steps while the woman takes three. how many steps will the woman have taken they are both about to step out on the right foot for the first time together?
15. for communicating with its satellite,NASA has only two codes is equal to 2 and<= is equal to 3.whenever the two symbols appear together the value is taken as sum of each symbol. for example <=<=*** is equal to 3+3+2+2+2=12.which of the following is equal to <=<=<=** minus <**?
a.<=* b.<=** c.<=**** d.<=<=(ans)
16. if i sell two articles, one at 20% profit for rs.100 and the other at 20% loss for rs.100, what is my net profit/loss?
a.4.16 profit b.4.16 loss c.8.33 profit d.8.33 loss(ans)
17. if 85% of the population of an ant colony is red, and of these 45% are females, then what % of the total ant population are male red ants?
a.46.75(ans) b.40 c.33.66 d.66.66
18. what is the cost price of an article sold at rs.199 after two successive discount of 10% and 15%?
a.260(ans) b.200 c.234 d.220
19. if A and B can do a piece of work in 10 days and A alone can do it in 15 days, how long will B take to do it?
a.25 b.20 c.15 d.30
20. if 12 men working 2 hours a day take 10 days to complete a job, how long will 8 men working 6 hours a day take to do the same work?
a.5(ans) b.8 c.12 d.3
21.a mixture contains spirit and water in the ratio 5:1. another mixture contains spirit and water in the ratio 2:1.what is the ratio in which two mixtures are added to get the mixture in the ratio 5:2
a.5:2 b.2:5(ans) c.2:7 d.3:2
22..x:y=7:11, y:z=1:7.what is the least possible integral values of x given that z is 11x.
a.3(ans) b.9 c.7 d.10
23. pqrs is a rectangle having area 50. rx=1/4sr.what is the area of pqxs?
a.37.5 b.42.5 c.12 d.3
24.what is the area of a circle having the same perimeter as that of a square whose area is 121.
No comments:
Post a Comment