1. In an examination paper of five questions, 5 % of the candidates answered all of them and 5% answered none, of the rest, 25% candidates answered only one question and 20% answered 4 questions. If 396 candidates answered either 2 questions or 3 questions, the number of candidates that appeared for the examination was -
2. The taxi charges in a city contain fixed charges and additional charges per kilometer. The fixed charge is for a distance of upto 5 km and additional charge per kilometer thereafter. The charge for a distance of 10 km is Rs. 350 and for 25 km is Rs. 800. The charge for a distance of 30 km is.
3. Find the maximum number of trees which can be planted 20 m apart on the two sides of a straight road 1760 m long.
4. X, Y and Z had taken a dinner together. The cost of the meal of Z was 20% more than that of Y and the cost of the meal of X was 5/6 as much as the cost of the meal of Z. If y paid Rs. 100, then what was the total amount that all three of them had paid?
5. On children’s Day, sweets were to be equally distributed amongst 300 children. But on that particular day 50 children remained absent, hence each child got one extra sweet. How many sweets were distributed?
6. In a two-digit positive number, the unit digit is equal to the square of ten’s digit. The difference between the original number and the number formed by interchanging the digits is 54. What is 40% of the original number?
7. The sum and product of two numbers are 12 and 35 respectively. What is the sum of their reciprocals?
8. When an amount is distributed amongst 14 girls, each of them gets Rs.160 more than the amount received by each girl in that condition when the same amount is distributed equally amongst 18 girls. Find the amount –
9.
10. If x + y = 18 and xy = 72, what is the value of x^2 + y^2?