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Class 11 Mathematics Chapter 14 Mathematical Reasoning Quiz 6 (60 MCQs)

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1. For questions 1-3, fill in the missing items.Decimal Percent Fraction1. 0.03 ..... .....
2. All polygons have five sides.
3. Ella wants to save $ 800 for her college expenses. She has $ 200 in her savings accountnow, and she can save an additional $ 75 per week from her earnings at her part-time job.How many weeks will it be before Ella has $ 800 in her savings account?
4. Mali deposited $ 5, 000 in a bank account that will pay him 4% simple interest annually. If Mali deposits no more than the initial $ 5, 000, how much money will be in the account at the end of five years? (The formula for simple interest is I=prt or interest = principal x rate x time. Use a decimal to express the interest when using that formula.)
5. Q 23. Justin is exchanging dollars for rolls of quarters and rolls of dimes at a bank. Each roll of quarters has a value of $ 10 and each roll of dimes has a value of $ 5. He exchanges $ 90 and receives 11 rolls of coins. How many of each type of roll of coins did he receive?
6. If 3 is added to each odd digit and 2 is subtracted from each even digit in the number 6452851, what will be difference between the largest and smallest digits thus formed?
7. Q 21 Richard goes to the electronics store. He buys 2 memory cards that cost $ 8.99 each and 3 packages of batteries that are on sale for $ 7.47 each. He also buys a case for his cell phone for $ 2.99 and a wireless headset for $ 29.99. What is the total cost of Richard's items, before salestax?
8. A certain sum amounts to ' 22494 in 7 years at x% per annum on simple interest. If the rate of simple interest per annum had been (x +4)% the amount payable after 7 years would have been ' 25917. Find the sum invested.
9. A person starts driving and travels 3km east to a store. The person then turns around and travels 1km west to another store. Finally, the person travels 2km west, back to the starting point. What distance has this person traveled?
10. Two 2-digit numbers have a product of 1392. If the product of their units digits is 42 and tens digits is 8, what are the numbers?
11. 90 is what percent of 200?
12. How many times does the digit 5 come in the counting from 1 to 100?
13. Alice needs 36 inches of ribbon to complete her art project. At the store she buys four and a half feet of ribbon. How many inches of ribbon is Alice going to have to cut off?(hint:There are 12 inches in one foot)
14. Check whether the compound statement is true or false:A square is a quadrilateral and its four sides are equal
15. What is the cardinal number of set B, B = ( 1, 2, 3, 4, 5, 6)
16. A seed company filled 7 bags with seed. They put 80 grams of seed in each bag. How many grams ofseed are there in all the bags combined?
17. Alice needs 36 inches of ribbon to complete her art project. At the store she buys fifty four inches of ribbon. How many inches of ribbon is Alice going to have to cut off?
18. If the US contributed 20% of the overall budget, what fraction of the budget did they contribute?
19. If z =-3, what is? $\frac{z^3+2z+3}{z^2+1}$
20. $\frac{9}{6}=\frac{x}{2}$
21. How many chapters are there in the workbook?
22. A car runs 240 km in 4 hours. Find its speed.
23. The graph represents the sales of a company over 5 years. In which year did the company have the highest sales?
24. What is the equation of a line in slope-intercept form if the slope is 2 and the y-intercept is 3?
25. Find the LCM of (a3-b3), (a2-b2), (a-b).
26. There are four queens in a stack of 52 cards. What is the probability that you will pull a black queen out of the card deck without looking?
27. Alice's belt rack contains 1 red, 3 black, 4 brown, and 2 blue belts. If she were to randomlyselect one belt from the rack, what is the probability that it would be black?
28. Which of the following topics is covered in Chapter 6?
29. Which of the following fractions is equivalent to 4/7?
30. Add 176 and 54095
31. The shirt you want to buy is 15% off from $ 32.50. How much will your shirt be?
32. ..... animals can sing.
33. If 3 is added to each odd digit and 1 is subtracted from each even digit in the number 42514563, what will be difference between the highest and lowest digits thus formed?
34. A polynomial expression is shown below.3(7 + 5x)Which choice is equivalent to this expression?
35. A man earns ₹ 500/day. Find total in 26 days.
36. A club's first meeting was attended by 30 people. The first meeting was attended by 3 times as many people as the second meeting. How many people attended the second meeting?
37. A right triangle has a hypotenuse of length 10 and one leg of length 6. Find the length of the other leg using the Pythagorean theorem.
38. A shopkeeper offers 20% discount on ₹ 500 item. Selling price =?
39. State whether the statement is true or false:p x q = pq
40. Jerard is shopping for a new stereo. World Market has a stereo on sale for $ 109.99, andJerard has a coupon that will give him $ 20 off any purchase over $ 100. Yates' Electronicshas the same stereo on sale for 25 percent off their regular price of $ 129.99. What is thelowest price Jerard can pay for this stereo?
41. Jack has twelve dollars in his pocket on Monday, three dollars on Tuesday, ten dollars on Wednesday, eight dollars on Thursday, and two dollars on Friday. What is the total amount of money Jack has in his pocket during the week?
42. How beautiful the scene is!Is it a statement?
43. The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively is
44. The sides of a quadrilateral have equal length
45. Premise 1:21 has only two factors.Premise 2:29 has only two factors.Premise 3:37 has only two factors.Conclusion:All prime numbers have only two factors.
46. A school has 1, 000 students. If 40% of the students are boys, how many girls are there in the school?
47. A soccer coach makes his players run three laps around the soccer field to warm up before practice. If the field is 110 yd. long and 210 ft. wide, about how many miles do the players run to warm up? Round the answer to the nearest hundredth. (Hint:3 ft. = 1 yd. and 5, 280 ft. = 1 mi.)
48. Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
49. Determine the given statement is true or false.Some prime number is even number.
50. Solve the linear equation:3(x-2) = 15
51. Three friends are baking cupcake for a bake sale. Each batch of 24 cupcakes requires 2 cups of flour. The friends have a single 5-pound bag of flour that contains 19 cups of flour. How many whole batches of cupcakes can they bake?
52. Danny worked 40 hours and earned $ 6.30 per hour. His friend Erica earned $ 8.40 per hour at her job. How many hours would Erica have to work in order to equal Danny's earnings for 40 hours?
53. Multiply. 0.311 X 4.2
54. ..... prime number have one digit.
55. There are 24 cupcakes. Riley, Maggie, and Laura each have an equal amount of cupcakes. How many cupcakes does each person have?
56. A painter uses the formula C = 20h + 20c to determine how much he should charge acustomer in dollars if a job takes h hours and c cans of paint. How much should the paintercharge if it took 15 hours and 3 cans of paint to paint a house?
57. {1, 2, 3, 4, 5, 6} which set is a subset of this?
58. It took Mr. Williams 1.6 hours to run the 13.2 miles. What was his average speed?
59. Determine if the sentence is a statement not statement.Answer the question 2 + 3 =?
60. Find the value of x in the equation:2x + 7 = 19
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