101. When 75 is added to 75% of a number, the answer is the number. Find 40% of that number.
102. A train 50 metres long passes a platform of length 100 metres in 10 seconds. The speed of the train in metre/second is
103. What will come in place of the question mark (?) in the series?
3, 8, 27, 112, (?), 3396
104. The difference between the compound interest and simple interest on a certain sum for 2 years at 10% per annum is 300. Find the sum.
105. What number should be subtracted from both the terms of the ratio 11 : 15 so as to make it as 2 : 3 ?
106. The value of $$(\sin^2 7\frac{1^{\circ}}{2}+\sin^2 82\frac{1^{\circ}}{2}+\tan^2 2^{\circ} \tan^2 88^{\circ})$$ is
107. Find the value of $$1 - 2 sin^{2} θ + sin^{4} θ.$$
108. Jasmine allows 4% discount on the marked price of her goods and still earns a profit of 20%. What is the cost price of a shirt if its marked price is 850?
109. Selling an item for 1800 at a discount of 10% a shopkeeper had a gain of 200. Had he sold the item without discount the percentage of profit would have been
110. A table with marked price 1200 was sold to a customer for 1100. Find the rate of discount allowed on the table.
111. Fach of the circles of equal radii with centres A and B pass through the centre of one another circle they cut at C and D then ∠DBC is equal to
112. A man, a woman and a boy together finish a piece of work in 6 days. If a man and a woman can do the work in 10 and 24 days respectively. The days taken by a boy to finish the work is
113. The average of 11 numbers is 63. If the average of first six numbers is 60 and the last six numbers is 65, then the 6th number is
114. If $$x^{2}+\frac{1}{x^2}=66$$ then the value of $$\frac{x^2-1+2x}{x}=$$ ?
115. If I be the incentre of ΔABC and ∠B = 70° and ∠C = 50°, then the magnitude of ∠BIC is
116. For a triangle ABC, D. E. F are the mid-points of its sides. If ΔABC = 24 sq. units then ΔDEF is
117. If $$a^{2} + a+ 1 = 0$$, then the value of $$a^{9}$$ is
118. For a triangle circumcentre lies on one of its sides. The triangle is
119. If $$x+\frac{2}{x}=1$$ then the value of $$\frac{x^2+x+2}{x^2(1-x)}$$ is
120. In APQR, the line drawn from the vertex P intersects QR at a point S. If QR = 4.5 cm and SR = 1.5 cm then the ratios of the area of triangle PQS and triangle PSR is
121. The angle in a semi-circle is
122. If $$x = k^{3} - 3k^{2}$$ and $$y= 1 - 3k,$$ then for what value of $$k$$. will be $$x= y$$?
123. The marked price of an article is 500. A shopkeeper gives a discount of 5% and still makes a profit of 25%. The cost price of the article is.
124. A can do a piece of work in 12 days and B in 15 days. They work together for 5 days and then B left. The days taken by A to finish the remaining work is
125. The simplest value of cot 9° cot 27° cot 63° cot 81° is
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