1 The lines y=3x and x+y=40 and the x axis bound a triangular area . Find the total number of points on or inside this triangle with integral coordinates?a.600b.641c.655d.662

2 ABCDis a rectangular sheet of paper.The dimensions is 18cm*12cm. The sheet is folded such that the vertex A is placed on vertex C and the sheet is pressed. The Length of the crease formed is?a.13 cmb.6?(13)c.4?(13)d.None

3 An infinite GP has first term X and sum 5 , then X is (belongs) to ?a.X<-10b.=-10c.0d.X>10

4 ABCD is a rhombus with side 10cm and angleA =60 degree. A circle is drawn using point A and C as diameter, another circle is drawn using B and D as diameter. Difference between the area of 2 circles is?a.10?b.75?c.25?d.50?

5 A B C D is a rectangular sheet of paper . It is folded along CE where E is a point on AD. Given AB=12 cms , CE=13cms and AE=5 cms , the Area of the paper is?a.60 sq cmsb.100sq cmsc.120sq cmsd.156 sq cms

6 what is the number of odd divisors of 20!?a.42984b.2160c.64d.None

7 There are 5 identical triangular pyramids. Four of these pyramids are attched one on each face of the pyramid. What is the ratio of the total surface area of the solid such formed to that of one pyramid?a.3:1b.4:1c.5:3d.Cant be determined

8 Five Consecutive numbers a, a+1...a+4 are such that their product is never divisible by 36. if a can take values of natural numbers from 1 to 200. Find the number of values of a that satisfy the above condition??a.45b.23c.44d.None

9 if ABCD is any quadrilateral with length of its diagonals AC and BD as 8cm and 6 cm Respectively. Then the maximum area of such a quadrilateral is?a.10b.12c.24d. 48

10 If p = 1!+(2*2!)+(3*3!)....+ (10*10!) then p+2 when divided by 11! Leaves a reminder ofa.10b.0c.7d.1

11 Consider a triangle drawn on the X-Y plane with the vertices at (41,0) ,(0,41) and (0,0), each vertex being represented by its (X,Y) coordinates. The number of points with integer coordinates inside the triangle(excluding all the points on the boundary )isa.780b.800c.820d.741

12 The digits of a three-digit number A are written in the reverse order to form another three-digit number B. If B>A and B-A is perfectly divisible by 7, then which of the following is necessarily true?a.100b.106c.112d.118

13 A boy appears for 5 papers, each of the same number of maximum marks. He scores in each of the papers in the ratio of 6: 7: 8: 9: 10. If his average score in all the five papers together was 60%, then in how many papers did he get more than 50% marks ?a.2b.3c.4d.5

14 If X > 5 and Y < -1, then which of the following is true ?a.X>-4Yb.X+4Y>1c.-4X<5Yd.None

15 There are 2 lights one red and the other green. The red one flashes 3 times every minute and the green one flashes 5 times every two minutes. If the lights start flashing together then the total number of times both will have flashed together in an hour is?a.30b.24c.48d.None

16 There are in all 128 boxes of Oranges. Each contains at least 120 Oranges and a maximum of 144 Oranges. Then the minimum number of boxes that will have the same number of Oranges is :?a.5b.103c.3d.6

17 A can do a piece of work in 4 days. B can do the same work in twice the time taken by A. C does the same work in twice the time taken by B, and D does the same work in twice the time taken by C. When these people work in pairs, then one pair taken 2/3 of the time taken by the other pair. Which of these could be a pair in this case :a.A,Bb.A,Cc.B,Cd.A,D

18 A four digit number is given. The number is given in such a way that the sum of the first two digits is equal to the sum of the last two digits. The sum of the first and the last digit is equal to the third digit. Also the sum of the second and the last digit is equal to twice the sum of the first and the third digit. Then the third digit is :a.1b.4c.5d.8

19 Two persons X and Y join the same company on January 1, 1950 at the same post. Person X starts with an arrangement that he will get Rs. 300 as salary and an increment of Rs. 30 per annum. Person Y starts with an arrangement that he will get Rs. 200 as salary and an increment of Rs. 15 every six months. If we start totaling the total amount drawn by these on Dec. 31, 1959, then the total amount drawn by the two people together will bea.93,300b.93,200c.93,100d.None

20 A girl had to multiply a number by 35, but instead she multiplied the same by 53, and hence the final result was increased by 540. What could be the final product she would have obtained ?a.1050b.1840c.1590d.1400

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