SYNTEL PAPERS-

1.In a right angled isosceles triangle ABC,where angle B = 90 degrees,BM is the median on AC,then

1.AB2+BC2=4BM2

2.AB2+BC2=2BM2

3.AB2+BC2=BM2

4.AB2+BC2=7BM2

2.A sum of money put at compound interest amounts to Rs.2205 in 2 years and to Rs.2315.25 in 3 years.Find the rate of interest per annum is :

1.10%

2.5%

3.8%

4.6%

5.None of these.

3.If A:B=2:3 and B:C=5:6 then A:B:C is :

1. 15:10:18

2. 10:18:15

3. 18:15:10

4. 10:15:18

4.The difference between simple interest and compound interest on Rs.P at R% p.a in 2 years is :

1. PR/100

2. 2PR/100

3. PR2/100

4. PR2/(100)2

5.The rate at which Rs.64 will amount to Rs.125 in 3 years at compound interest will be :

1. 15%

2. 25%

3. 20%

4. 50%

6. One question based on the precendence of arithmetic operations .Refer to chapter 4 of R.S.Agarwal(simplification).

7.In the figure below, ABCD is a rectangle and each of the two circles has a radius of “a”. What is the ratio of the area of the rectangle not covered by the circles to the total area of the rectangle?

given : length of rectangle =4a, breadth of rectangle =2a, radius of circle=a;

1.(pi-4)/2

2.(4-pi)/2

3.4/pi

4.none

our ans: (4-pi)/4

L

8. A shopkeeper marks up his goods to gain 35%.But he allows 10% discount for cash payment. His profit on the cash transaction therefore in percentage is:

1.13 ½

2.21 ½

3.25

4.31 ½

5.none

9.Fine the positive value of n when the sum of 5+7+9+……..=140.

1. 10

2. 8

3. 6

4. 5

10. The average age of an adult class is 30 years. 12 new students with an average age of 32 years join the class, thereby increasing the average age of the class by one year. The original strength of the class was:

1. 8

2. 10

3. 12

4. 30

11.The mean of 100 observations was calculated as 40. If it was found later that one of the observations was mis-read as 83 instead of 53, the correct mean is :

1. 39.0

2. 39.7

3. 40.3

4. 42.7

12. The average of the reciprocals of x and y is :

1. 2xy/(x+y)

2. 2(x+y)/xy

3. (x+y)/(2xy)

4. (x+y)/(x-y)

13. If the length of a rectangle is increased by 50% and its breadth is decreased by 25% what is the percentage change in its area:

1. 12.5% increase

2. 10% increase

3. 25% increase

4. 20% decrease

14. A cone and a sphere have equal radii and equal volumes. The ratio of the diameter of the sphere to the height of the cone is :

1. 3:1

2. 1:3

3. 6:1

4. 1:2

15. Three equal circles are described with vertices of the triangle as centers. If the radius of each circle is r, the sum of areas of the portions of the circles intercepted in a triangle is :

1. 2*pi*r*r

2. (3/2)*pi*r*r

3. pi*r*r

4. (1/2)*pi*r*r

16. A candidate was asked to find 7/8 of a positive number. He found 7/18th of the same by mistake. If his answer was 770 less than the correct one, then the original given number was:

1. 1260

2. 6160

3. 1548

4. none

17. The remainder obtained when any prime number, greater than 6, is divided by 6 must be:

1. either 1 or 2

2. either 1 or 3

3. either 1 or 5

4. either 3 or 5

18. A certain number of 2 digits, is four times the sum of its digits. If 9 were added to the number, the digits are reversed. Find the number:

1. 15

2. 12

3. 21

4. 51

19. The majority against a certain motion is equal to 8% of the total number of voting. If 14 of those who voted against it had voted for it, the motion would have been carried by 4 votes. Find the number voting ‘for’ and ‘against’:

1. for:138,against:162

2. for:160,against:185

3. for:130,against:170

4. for:162,against:138

20. A bus traveled from station A to station B at a speed of u/1 kmph and traveled back from B to A at u/2 kmph. What is the average speed of the bus:

1. (1/u/1 + 1/u/2)/2

2. (u/1 + u/2)/2

3.2u/1.u/2/(u/1+u/2)

4. 2u/1.u/2 /(u/1-u/2)

21. The cost price of an article, which on being sold at a gain of 12% yield RS.6 more than when it is sold at a loss of 12%, is:

1. Rs:24

2. Rs:25

3. Rs:30

4. Rs:20

22. The price of sugar increases by 32%. A family reduces its consumption so that the expenditure of the sugar is up only by 10%. If the total consumption of the sugar before the price-rise was 10 Kg per month, then the consumption of sugar per month at present (in Kg) is:

1. 8 1/3

2. 8 ½

3. 8 ¾

4. 9

23. An article is sold at 12.5% profit. If it had been sold at 5% loss, the selling price would have been Rs.9.80 less. The cost price of the article is:

1. Rs.58

2. Rs.56

3. Rs.54

4. Rs.46

24. Two friends invested Rs.1500 and Rs.2500 in a business. They earned a profit of Rs.800. one half of the profit was divided equally between them and other half was divided in proportion of their capitals. How much did each of them receive?

1. Rs.370 and Rs.430

2. Rs.350 and Rs.450

3. Rs.360 and Rs.440

4. Rs.375 and Rs.425

25. ABCD is a squared, E is the mid-point of BC and F is the mid-point of CD. The ratio of the area of triangle AEF to the area of the square ABCD is:

1. 1:4

2. 1:3

3. 3:8

4. 1:2

26. ABC is an equilateral triangle inscribed in a circle. P is any point on the minor arc BC. Then:

1. PA < (PB+PC)

2. PA > (PB+PC)

3. PA = PB+PC

4. PA = ½ (PB+PC)

27. In a triangle ABC , a line XY is drawn parallel to BC meeting AB in X and AC in Y. The area of the triangle AXY is half of the area of the triangle ABC.XY divides AB in the ratio of :

1. 1 : root2

2. root2 : (root2-1)

3. 1 : (root2-1)

4. root2 : root3

28.Five mangoes and four oranges cost as much as three mangoes and seven oranges.What is the ratio of the cost of one mango to the cost of one orange?

1. 4:3

2. 1:3

3. 3:2

4. 5:2

29.If x men working x hours a day for x days produce x articles, then the number of articles produced by y men working y hours a day for y days is :

1.(x*x*x)/(y*y*y)

2. (x*x)/(y*y*y)

3. (y*y*y)/(x*x)

4. (x*x)/(y*y)

30. x,y,z,u are real numbers such that x:y = y:z=z:u and x:u =64:27.The value of x:z is :

1. 64:27

2. 16:9

3. 4:3

4. 3:4

31.A man borrowed Rs.1000 at 5% per annum at simple interest.Each year he pays Rs.200 for interest and part of debt.The amount that is left to be paid back in the end of 3 years is :

1.Rs.850.00

2. Rs.826.13

3. Rs.692.50

4. Rs.527.13

32.A monkey climbing up a pole ascends 6 meters and slips 3 meters in alternate minutes.This way he continues climbing the pole.If the pole is 60meters height,how long will it take the monkey to reach the top:

1. 31 minutes

2. 33 minutes

3. 35 minutes

4. 37 minutes.

33.Two trains start from stations A and B and travels towards each other at speeds of 50km/hour and 60km/hour respectively.At time of their meeting the second train has traveled 120km more than the first.The distance between A and B is:

1. 990km

2. 1200km

3. 1320km

4. 1440km

34.A and B can do a piece of work in 6 2/3 and 5 days respectively.they work together for 2 days and then A leaves.In how many days after that will B complete the work alone?

1. 1 ½

2. 2 ¼

3. 3 days

4. 7 days

35.Two pipes A and B can fill a tank in 4 hours and 5 hours respectively.If they are turned up alternatively for one hour each,then time taken to fill the tank is:

1. 2 hrs 15mins

2. 4 hrs 24mins

3. 5 hrs

4. 3 hrs

36.An electric device makes a ‘beep’ after 60 seconds and an another one after 62 seconds.They beeped together at 10.00a.m.Again they will beep at

1. 10.30 hrs

2. 10.31 hrs

3. 10.59 hrs

4. 11.00 hrs

37. A man has Rs.210 in coins alone.The coins consist of one rupee. 50p and 25p whose numbers from a ratio of 5 : 6 : 8 respectively.How many coins are there in the 50pdenomination?

1. 210

2. 126

3. 105

4. 168

38.The L.C.M of three different numbers is 120. Which of the following cannot be their H.C.F?

1. 8

2. 12

3. 24

4. 30 and 24.

39.A sphere of radius 2 cm is put into water contained in a cylinder of radius 4 cm.If the sphere is completely immersed in the water, the water level in the cylinder rises by :

1. 2cm

2. 1/3 cm

3. ½ cm

4. 2/3 cm

40.The number of students in a school kept changing every year.In the year 1999, the total number of students in the school was 1000.In the year 2000,it is increased by 20%.In 2001,it again increased by 20%, but in 2002,it decreased by 5%.Find the number of students in the school at the end of year 2002 :

1. 1300

2.1368

3. 1400

4. 1638

41.A stock of rice is enough for 100 men for 60 days.How long will the same stocks of rice last for 500 men:

1. 9

2. 5

3. 6

4. 10

42.If on burning 6 gas ovens for 6 hrs per day, an amount of Rs.45 is spent for 8 days, then by spending Rs.60 how many gas ovens can be burnt 5 hrs per day for 10 days?

1. 8

2. 16

3. 12

4. 6

5. 18

43.The cistern is filled in 9 hours and it takes 10 hours when there is a leak in its bottom.If the cistern is full,in what time shall the leak empty it?

1.90 hours

2.94 hours

3.92 hours

4.91 hours

5.none of these.

44.A sum of money yields at compound interest Rs.200 and Rs.220 at the end of first and second year respectively.the rate % is :

1. 20

2. 15

3. 10

4. 5

5. 11

45.In what time will a man receive Rs.85 as compound interest on Rs.320 at 12 ½ % per annum , compounded annually?

1. 4 ½ years

2. 2 ½ years

3. 2 years

4. 5 years

5. 3 ½ years

FLOW CHART:

1) Some flow chart is given. Five question on this flow chart.

i. Whether i will take the value 0

ii. Find value of i

iii. Find value of a

iv. Find value of j

Answers:

i. Yes

ii. -4

iii. 13

iv. 29

2) One more flow chart. Five questions

i. s value at 6th iteration

ii. value f3 when n=6

iii. f3 doesn’t take which value

iv. When s=57 what is the value of f3

v. What is the value n when program terminates.

Answer

i. 31

ii. 34

iii. 9

iv. 89

v. 11

Formulae involved in the flow chart:

S = N2 - ( N – 1)

F3 = F1 + F2

F1 = F2

F2 = F3

mug this flow chart.. same flow chart came for us..it is very difficult to remember the ques.. i am sorry that i cudnt able to reproduce.. for the 3rd Section i remember few que:

Section 3: 1- problem on tower of hanoi--ans 7

2 problem on fig. find the shaded area, square of size 14cm.. ans: 42

3. problem on symmetric fig ;; ans less than the 1172(check) .

4. few questions on blood relationship.. (refer r.s. agrawal reasoning)

sample ques..man looking at photo tells that " the daughter of this person is the only son etc..." try to familiar on this ..

5 . again ques on relationship..; 6 persons are there A, B, C, D, E, F.

i) how many male: ans -4

ii)how many female- ans 2

iii) how D related to A; - similar ques ..easy ..

6)u have the series of letters..need to find the odd one out..

tips: u identify the pattern all the choices follow the pattern except one..

eg: given words are say ..ABCD , JKLM, OPQR, UVWX, EGHI

in this the last set do not follow the pattern..

in case of ABCD- all are continious.

JKLM , OPQR, UVWX..follow same all are continious ..

If u see the EGHI – this is not continious as EFGH shud me there..got it …

U have 4 ques on this..easy one..

6) u have to fill the missing letter in the series.. little bit tough.. 4 ques..but easy..

7) u have 3 figure –based on the figures ques asked.. easy one..

eg: Fig Triangle means Strong

Fig Square means Tall

Fig Circle means Fair.

Ques asked is find the number that represents Strong Tall and Fair persons.. easy one ..

So u have 3 ques on this pattern..

8) u have ques on flow chart..easy..very simple..

NOTE: they r looking for the toppers ..so if u r the topper than no probs. Mostly CGPA of 8 + is they expect. To shortlist.