JEXPO 2013 solved paper mathematics

JEXPO 2013 Solved paper Mathematics
1. If A:B=2:5, B:C=8:11,C:D=11:12, D:E=13:14, then A:E is equal to- ANs.: If my calculation not wrong then answer should be 26:105 (no such options are given)	2. The average of three numbers is 135. The largest number is 180 and the difference of others is 25. The smallest number is Ans.: (A) 100
3. In a mixture of 45 liters, the ratio of milk and water is 3:2. The quantity of water that should be added to make the ratio 9:11 is Ans.: (B) 15 liters	4. A student multiplied a number x by 3/5 instead of 5/3. The error in the calculation is Ans.: (D) 64%
5. On selling a book for Rs.40, the loss is 20%. To make a profit of 40%, the book must be sold at Ans.: (D) Rs.70	6. If 8 carpenters can make 18 boxes in 3 days, 4 carpenters can make 18 boxes in Ans.:(A) 6 days
7. A factor of x2-x-600 is Ans.:(B) x-25	8. If 3x+1/4x=3 and x≠0 then the value of 64x3+1/27x3 is Ans.: (D) 48
9. If a=√6 + √5 and ab=1, then the value of a2 + b2 is Ans.: (D)22	10. If x≠a and x≠b, the solution of the equation a/(x-a) +b/(x-b)=(a2+b2)/(x-a)(x-b) is Ans.: (B) a+b
11. If a/(x+y) =b/(y+z)=c/(z-x), then we have Ans.:(D) c+a-b=0	12. If H.C.F. and L.C.M. of two numbers x and y are a and b respectively and x+y=a+b, then the value of x3 + y3 is Ans.:(A) a3 + b3
13. If (x-a)/(b+c) + (x-b)/(c+a) + (x-c)/(a+b) =3 and 1/(b+c) + 1/(c+a) + 1/(a+b) ≠0, then the value of x is Ans.:(A) a+b+c	14. If x=5+2√6, then the value of √x - 1/√x is Ans.: (C) 2√2
15. If 4 workers can make 42 toys in 6 days, then 24 workers can make 42 toys in Ans.: (B) 1 day	16. If √15=x, then the value of √(3/5) is Ans.: (C) 3/x
17. The simplified value of √(5+√(11+√(19+√(29+√(49))))) is Ans.: (D) 3	18. If x=103, then the L.C.M. of x2 - 4 and (x+2)(x2 -5x +6) is Ans.: (B)1060500
19. If x>0, the positive square root of x2+2x-1 + 1/(x2+2x+1) is Ans.: (C) x+1 - 1/(x+1)	20. If x-4/5=81, the value of x is Ans.: (B) 81 (approx.)
21. If the sum of a positive number and its square is 182, then the number is Ans.: (C) 13	22. If the difference between a two digit number and the number obtained by interchanging the positions of the digits of the number is 54, then the difference between the digit of that number is Ans.: (A) 6
23. If p=999, the value of (p(p2+3p+3)+1)1/3 is Ans.: (D) 1000	24. If x≠1, the value of 1/x-1 - 1/x+1 - 2/x2+1 - 4/x4+1 - 8/x8+1 - 16/x16-1 is Ans.: (B) 0 ( Just put the value x=0 in the equation you will get the answer)
25. If 936216 +x is exactly divisible by 7, then the minimum value of x is Ans.:(A) 6	26. The equation kx-y=2 and 6x-2y=3 will have no solution if Ans.: (A) k=3
27. The equations kx+3y=k-3 and 12x+ky=k will have infinity as a solution if Ans.: (C) k=6	28. If -5≤2x-7≤1, the maximum value of x is Ans.: (A) 4
29. If 7<2x-3<17 and x is an integer as well as a perfect square, then the value of x is Ans.: (C) 9	30. The expression 9x2 -24x + 7 assumes the minimum value at Ans.: (B) x=4/3 (minimum value is -9)
31. If the expression 49x2 +56x +t is a perfect square for any real value of x, then the value of t is Ans.: (A)16	32. ABC is a right angled triangle with <A=90°. If D is the midpoint of BC, then Ans.: (A) AD:BC=1:2
33. If O is a point inside ΔABC, then Ans.: (B) 2(OA+OB+OC)>AB+BC+AC	34. If each side of an equilateral triangle is 6 cm, then the radius of its circumcircle is Ans.: (B) 2√3 cm
35. If the circumcenter of an equilateral triangle ABC is O, then the value of <BOC is Ans.: (D) 120°	36. ABCD is a cyclic quadrilateral such that AB is the diameter of the circle. If <ADC=140°, the value of <BAC is Ans.: (B)50°
37. If ABC and DRF are two similar triangel with <A=<D,<B=<E,<C=<F, EF=16 cm, BC=24cm and p1,p2 are the perimeter of ΔABC and ΔDEF respectively, then Ans.: (C) p1:p2=3:2	38. If a chord of a unit circle subtends and angle 120° at the center, then its length is Ans.: (B) √3
39. ABC is a triangle in which AB+AC, the base BC is produced to D and <ACD=130°. Then <A is equal to Ans.: (A) 80 °	40. If AB and CD are two diameters perpendicular to each other, then the length of the chord AC is Ans.: (D) 1/√2 AB
41. ABCD is a cyclic quadrilateral. If the chord AC subtends an angle 90° at the center, then the value of <ABC is Ans.: (D) 135°	42. Two equal circles of radius r intersect each other such that each passes through the center of the other. The length of the common chord is Ans.: (C) r√3
43. The ratio of the area of a circle to the area of a square whose diagonal is equal to the diameter of the circle is Ans.: (D) π:2	44. A solid metallic sphere is melted into a solid right circular cylinder whose height is equal to 9/2 times the radius of its base. The ratio of the radius of the sphere to that of the base of the cylinder is Ans.: (A) 3:2
45. If the area and perimeter of a rhombus are 1 sq.cm. and 4 cm. respectively, then the ratio of its diagonals is Ans.: (C) 1:1	46. A steel wire when bent in the form of a square encloses an area of 121 sq.cm. If the same wire is bent in the form of a circle, then the circle encloses an area of Ans.: (D) 154 sq. cm.
47. If the volume of two spheres are in ratio 8:27, then the ratio of their surface area is Ans.: (A) 4:9	48. A metallic hemisphere is melted into a solid cone with same base radius as that of the hemisphere. The ratio of the height of the cone to the radius of its base is Ans.: (B) 1:2
49. A cylinder and a cone have equal radii of their bases and equal height. The ratio of the volume of the cylinder to that of the cone Ans.: (A) 3:1	50. Two circles touch internally. If the sum of their areas is 116π sq.cm. and the distance between their centers is 6 cm., then the ratio of major radius to the minor is Ans.: (A) 5:2
You can see the another 50 mathematics question answer form the link below(in short time): JEXPO 2013 Physics answers, Chemistry answers, Mathematics Q.51 to Q.100

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