Q1. The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is:
(a) 1/289
(b) 289/290
(c) 290/289
(d) 290/280
Q3. Two numbers are such that the square of one is 224 less than 8 times the square of the other. If the numbers be in the ratio of 3 : 4, the numbers are:
(a) 6, 8
(b) 9, 12
(c) 12, 16
(d) None of these
Q4. The sum of squares of three consecutive natural numbers is 2030. What is the middle number?
(a) 25
(b) 26
(c) 27
(d) 28
Q8. While purchasing one item costing Rs. 400, I had to pay the sales at 7% and on another costing Rs. 6400, the sales tax was 9%. What percent of the sales tax I had to pay, taking the two items together on an average?
Q9. 33.3% of a man’s daily output is equal to 50% of a second man’s daily output. If the second man turns out 1500 screws daily, then the first man’s output in terms of making screws is:
(a) 500
(b) 1000
(c) 2000
(d) 2250
Q10. From the salary of an officer, 10% is deducted as house rent, 20% of the rest, he spends on conveyance, 20% of the rest he pays as income tax and 10% of the balance, he spends on clothes. Then, he is left with Rs. 15,552. Find his total salary.
(a) Rs. 25,000
(b) Rs. 30,000
(c) Rs. 35,000
(d) Rs. 40,000
Q11. Aman gave 40% of the amount to Rohan. Rohan in turn gave one-fourth of what he received from Aman to Sahil. After paying Rs. 200 to the taxi driver out of the amount he got from Rohan, Sahil now has Rs. 600 left with him. How much amount did Aman have?
(a) Rs. 4000
(b) Rs. 8000
(c) Rs. 12,000
(d) Data inadequate
Q12. The population of a variety of tiny bush in an experimental field increased by 10% in the first year, increased by 8% in the second year but decreased by 10% in the third year. If the present number of bushes in the experimental field is 26730, then the number of bushes in the beginning was:
(a) 25000
(b) 27000
(c) 28000
(d) 24600
Q13. An empty fuel tank of a car was filled with A type petrol. When the tank was half-empty , it was filled with B type petrol. Again when the tank was half-empty, it was filled with A type petrol. When the tank was half-empty again, it was filled with B type petrol. What is the percentage of A type petrol at present in the tank?
(a) 33.5%
(b) 37.5%
(c) 40%
(d) 50%
Q14. By selling an article, Michael earned a profit equal to one-fourth of the price he bought it. If he sold it for Rs. 375, what was the cost price?
(a) Rs. 281.75
(b) Rs. 300
(c) Rs. 312.50
(d) Rs. 350
Q15. The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should be article be sold to make 25% profit?
(a) Rs. 2000
(b) Rs. 2200
(c) Rs. 2400
(d) Data inadequate
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