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  • Maths Class 11

MCQ Word Problems : Linear Inequalities, Class 11 Mathematics

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1. There will be total 10 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
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1. In drilling world’s deepest hole, it was found that the temperature T in degree Celsius, x km below the surface of Earth, was given by
T = 30 + 25 (x – 3), 3 < x < 15.
If the required temperature lies between 200o C and 300o C, then the depth, x will lie between

Question 1 of 10

2. A solution of 10% boric acid is to be diluted by adding a 4% boric acid solution to it. The resulting mixture is to be more than 5% but less than 8% boric acid. If we have 750 litres of the 10% solution, then the quantity of the 4% solution that has to be added will lie between

Question 2 of 10

3. Pairs of consecutive even positive integers, both of which are larger than 7 such that their sum is less than 28, are

Question 3 of 10

4. The longest side of a triangle is 4 times the shortest side and the third side is 4 cm shorter than the longest side. If the perimeter of the triangle is at least 59 cm, then the minimum length of the shortest side is

Question 4 of 10

5. In an experiment a solution of hydrochloric acid is to be kept between 30 and 35 degree celcius. What is the range of temperature in degree Fahrenheit if conversion formula is given by
4664_fb54d051facfd6cfd3b8a748ec7d4c02,where C and F represent temperature in degree celsius and degree fahrenheit, respectively?

Question 5 of 10

6. A man wants to cut three lengths from a single piece of board of length 91 cm. The second length is to be 6 cm longer than the shortest and the third length is to be thrice as long as the shortest. If the third piece is to be at least 4 cm longer than the second, then the length of the shortest board will lie between

Question 6 of 10

7. A plumber can be paid under two schemes as given below:

I: Rs 600 and Rs 50 per hour.
II: Rs 170 per hour.
If the job takes n hours, then the values of n for which the scheme I will give the plumber better wages are

Question 7 of 10

8. In the first four examinations, each of 100 marks, Dipika got 94, 73, 72, 84 marks. If a final average greater than or equal to 80 and less than 90 is needed to obtain a final grade B in a course, then the range of marks, Dipika must score in the fifth examination in order to obtain grade B is

Question 8 of 10

9. The cost and revenue functions of a product are given by C(x) = 2x + 400 and R(x) = 6x + 20 respectively, where x is the number of items produced by the manufacturer. The minimum number of items that the manufacturer must sell to realize some profit is

Question 9 of 10

10. IQ of a person is given by the formula 9034_image019, where M A is mental age and CA is chronological age. If 9034_image020 for a group of 12-year children, then the mental age will lie between

Question 10 of 10

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