26. Ramesh bought a calculator with 20% discount on the tag price. He obtained 10% profit by selling it for Rs.440. What was the tag price ?
27. The sum of two numbers is 22 and their difference is 14. Find the product of numbers.
28. If m = 9 and n = $$\frac{1}{3}\ $$m, then $$\ \sqrt{(m)^{2}-(n)^{2}=?}$$
29. The ratio between the ages of x and y at present is 3:4. Five years hence, the ratio of their ages will be 4:5; what is the present age of y in years ?
30. What would come in place of ($) mark in the following equation ?
* 2 $ 20 ÷ 156 = 145
31. $$2\frac{1}{5}x^{2}\ $$= 2750, find the value of x ?
32. $$\frac{75\times75-26\times26}{101}=?$$
33. $$\angle ABC\ $$is an isosceles triangle and $$\ \overline{AB}\ $$=$$ \overline{AC}\ $$= 2a unit $$\ \overline{BC}\ $$= a unit, Draw $$ \overline{AD}\ \bot\ \overline{BC},\ $$and find the length of $$\ \overline{AD}$$
34. All sides of a quadrilateral ABCD touch a circle. If AB = 6 cm. BC = 7.5 cm. CD = 3 cm, then DA is
35. In a right angled triangle, the product of two sides is equal to half of the square of the third side i.e., hypotenuse. One of the acute angles must be
36. If two concentric circles are of radii 5 cm and 3 cm, then the length of the chord of the larger circle which touches the smaller circle is
37. Inside a square ABCD, $$\ \triangle BEC\ $$is an equilateral triangle. If CE and BD interesect at O, then $$\ \angle BOC\ $$ is equal to
38. A point D is taken from the side BC of a right angled triangle ABC, where AB is hypotenuse. Then,
39. Let C be a point on a straight line AB. Circles are drawn with diameters AC and AB. Let P be any point on the circumference of the circle with diameter AB. If AP meets the other circle at Q, then
40. An isosceles triangle ABC is right angled at B.D is a point inside the triangle ABC. P and Q are the feet of the perpendiculars drawn from D on the sides AB and Ac respectively of $$\ \triangle ABC.\ $$If AP = a cm, AQ = b cm and $$\ \angle BAD$$= 15$$^\circ$$, sin $$\ 75^\circ$$=
41. Each interior angle of a regular octagon in radians is
42. Find the value of $$\ \sqrt{30+\sqrt{30}+...}$$
43.
Select the related word/number from the given alternatives.Brain : Nerves : : Computer ?
44.
Select the related word/number from the given alternatives.Silkworm : Silk Saree : : Cobra :?
46. Arrange the following words according to dictionary:
1: Inadequate
2: Institution
3: Inhospitable
4: Improvement
47. Identify the correct answer containing letters which will most appropriately fill in the blanks.
a b a - a b - b - b a -
48.
Select the missing letter/number from the given responses.?, 187, 2057, 22627
49.
Select the missing letter/number from the given responses.C, F, I, L, ?, R, U, X
50. Nikhil was facing East. He walked 6 km forward and then after turning to his right walked 2 km. Again he turned to his right and walked 6 k. After this, he turned back. Which direction he was facing at that time ?
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