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Page 1 1 MOCK TEST PAPER 1 FOUNDATION COURSE PAPER 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS Time: 2 Hours Marks: 100 Part A: Business Mathematics and Logical Reasoning 1. Find the value of ( ) ( ) 2 3 10 10 10 log 25 - log 2 + log 4 ?? ?? (a) x (b) 10 (c) 1 (d) None 2. If A: B = 2:5, then (10A + 3B): (5A + 2B) is equal to (a) 7:4 (b) 7:3 (c) 6:5 (d) 7:9 3. The ratio compounded of 4:5 and sub-duplicate of a:9 is 8:15. Then value of “a” is (a) 2 (b) 3 (c) 4 (d) 5 4. If ½ , 1/3 ,1/5 and 1/x are in proportion , then the value of x will be (a) 15/2 (b) 6/5 (c) 10/3 (d) 5/6 5. If P = x 1/3 + x -1/3 then find value of 3p 3 – 9p (a) 3 (b) ½(x+1/x) (c) (x+1/x)) (d) 2((x+1/x)) 6. Fourth proportional to x, 2x, (x+1) is: (a) (x+2) (b) (x-2) (c) (2x+2) Page 2 1 MOCK TEST PAPER 1 FOUNDATION COURSE PAPER 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS Time: 2 Hours Marks: 100 Part A: Business Mathematics and Logical Reasoning 1. Find the value of ( ) ( ) 2 3 10 10 10 log 25 - log 2 + log 4 ?? ?? (a) x (b) 10 (c) 1 (d) None 2. If A: B = 2:5, then (10A + 3B): (5A + 2B) is equal to (a) 7:4 (b) 7:3 (c) 6:5 (d) 7:9 3. The ratio compounded of 4:5 and sub-duplicate of a:9 is 8:15. Then value of “a” is (a) 2 (b) 3 (c) 4 (d) 5 4. If ½ , 1/3 ,1/5 and 1/x are in proportion , then the value of x will be (a) 15/2 (b) 6/5 (c) 10/3 (d) 5/6 5. If P = x 1/3 + x -1/3 then find value of 3p 3 – 9p (a) 3 (b) ½(x+1/x) (c) (x+1/x)) (d) 2((x+1/x)) 6. Fourth proportional to x, 2x, (x+1) is: (a) (x+2) (b) (x-2) (c) (2x+2) 2 (d) (2x-2) 7. The value of ( ) ( ) 1 31 3 + 3 3 - 3 nn nn + ++ is equal to (a) 1/5 (b) 1/6 (c) ¼ (d) 1/9 8. The value of ( ) ( ) ( ) ( ) ( ) ( ) 222 2 2 2 2 2 2 222 x y z y x z z x y x z y x y z y z x - - - - - - ++ + - + - + - (a) 0 (b) 1 (c) -1 (d) ? 9. If abc = 2 then the value of 11 1 1 1 1 1 1 a 2b 1 c a 1 b c 2 -- - ++ + + + + ++ is (a) 1 (b) 2 (c) 3 (d) 1/2 10. If 3x 2 5x 6 - - is the duplicate ratio of 2/3 then the value of ‘x ‘ is (a) 2 (b) 6 (c) 5 (d) 9 11. If a and ß are the roots of the equation x 2 + 7x + 12 = 0, then the equation whose roots ( a + ß) 2 and (a - ß) 2 will be: (a) x 2 – 14x + 49 = 0 (b) x 2 – 24x + 144 = 0 (c) x 2 – 50x + 49 = 0 (d) x 2 – 19x + 144 = 0 12. Roots of the equation 2x 2 +3x+7 = 0 are a and ß then the value of a ß -1 + ß a -1 is (a) 2 (b) 3/7 (c) 7/2 (d) -19/14 Page 3 1 MOCK TEST PAPER 1 FOUNDATION COURSE PAPER 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS Time: 2 Hours Marks: 100 Part A: Business Mathematics and Logical Reasoning 1. Find the value of ( ) ( ) 2 3 10 10 10 log 25 - log 2 + log 4 ?? ?? (a) x (b) 10 (c) 1 (d) None 2. If A: B = 2:5, then (10A + 3B): (5A + 2B) is equal to (a) 7:4 (b) 7:3 (c) 6:5 (d) 7:9 3. The ratio compounded of 4:5 and sub-duplicate of a:9 is 8:15. Then value of “a” is (a) 2 (b) 3 (c) 4 (d) 5 4. If ½ , 1/3 ,1/5 and 1/x are in proportion , then the value of x will be (a) 15/2 (b) 6/5 (c) 10/3 (d) 5/6 5. If P = x 1/3 + x -1/3 then find value of 3p 3 – 9p (a) 3 (b) ½(x+1/x) (c) (x+1/x)) (d) 2((x+1/x)) 6. Fourth proportional to x, 2x, (x+1) is: (a) (x+2) (b) (x-2) (c) (2x+2) 2 (d) (2x-2) 7. The value of ( ) ( ) 1 31 3 + 3 3 - 3 nn nn + ++ is equal to (a) 1/5 (b) 1/6 (c) ¼ (d) 1/9 8. The value of ( ) ( ) ( ) ( ) ( ) ( ) 222 2 2 2 2 2 2 222 x y z y x z z x y x z y x y z y z x - - - - - - ++ + - + - + - (a) 0 (b) 1 (c) -1 (d) ? 9. If abc = 2 then the value of 11 1 1 1 1 1 1 a 2b 1 c a 1 b c 2 -- - ++ + + + + ++ is (a) 1 (b) 2 (c) 3 (d) 1/2 10. If 3x 2 5x 6 - - is the duplicate ratio of 2/3 then the value of ‘x ‘ is (a) 2 (b) 6 (c) 5 (d) 9 11. If a and ß are the roots of the equation x 2 + 7x + 12 = 0, then the equation whose roots ( a + ß) 2 and (a - ß) 2 will be: (a) x 2 – 14x + 49 = 0 (b) x 2 – 24x + 144 = 0 (c) x 2 – 50x + 49 = 0 (d) x 2 – 19x + 144 = 0 12. Roots of the equation 2x 2 +3x+7 = 0 are a and ß then the value of a ß -1 + ß a -1 is (a) 2 (b) 3/7 (c) 7/2 (d) -19/14 3 13. On solving the inequalities 5x + y = 100, x + y = 60, x= 0, y= 0, we get the following situation: (a) (0,0), (20,0), (10,50), & (0,60) (b) (0,0), (60,0), (10,50), & (0,60) (c) (0,0), (20,0), (0,100) & (10,50) (d) none of these 14. The rules and regulations demand that the employer should employ not more than 5 experienced hands to 1 fresh one and this fact is represented by (Taking experienced person as x and fresh person as y) (a) 5 x y ? (b) 5y < x (c) 5y > x (d) none of these 15. In what time will be a sum of money doubles itself at 6.25% p.a simple interest ? (a) 5 years (b) 8 years (c) 12 years (d) 16 years 16. Mr. X invests ` 10,000 every year starting from today for next 10 years suppose interest rate is 8% per annum compounded annually. Calculate future value of the annuity: (Given that (1+0.08) 10 = 2.158925] (a) ` 156454.88 (b) ` 144865.625 (c) ` 156554.88 (d) none of these 17. The difference between the simple and compound interest on a certain of 3 years at 5% p.a is ` 228.75. The compound interest on the sum of for 2 years at 5% per annum is (a) ` 3175 (b) ` 3075 (c) ` 3275 (d) ` 2975 18. How much time would the simple interest on a certain sum be 0.125 times the principal at 10% per annum (a) 1 1 4 years (b) 1 3 4 years (c) 2 1 4 years (d) 2 3 4 years Page 4 1 MOCK TEST PAPER 1 FOUNDATION COURSE PAPER 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS Time: 2 Hours Marks: 100 Part A: Business Mathematics and Logical Reasoning 1. Find the value of ( ) ( ) 2 3 10 10 10 log 25 - log 2 + log 4 ?? ?? (a) x (b) 10 (c) 1 (d) None 2. If A: B = 2:5, then (10A + 3B): (5A + 2B) is equal to (a) 7:4 (b) 7:3 (c) 6:5 (d) 7:9 3. The ratio compounded of 4:5 and sub-duplicate of a:9 is 8:15. Then value of “a” is (a) 2 (b) 3 (c) 4 (d) 5 4. If ½ , 1/3 ,1/5 and 1/x are in proportion , then the value of x will be (a) 15/2 (b) 6/5 (c) 10/3 (d) 5/6 5. If P = x 1/3 + x -1/3 then find value of 3p 3 – 9p (a) 3 (b) ½(x+1/x) (c) (x+1/x)) (d) 2((x+1/x)) 6. Fourth proportional to x, 2x, (x+1) is: (a) (x+2) (b) (x-2) (c) (2x+2) 2 (d) (2x-2) 7. The value of ( ) ( ) 1 31 3 + 3 3 - 3 nn nn + ++ is equal to (a) 1/5 (b) 1/6 (c) ¼ (d) 1/9 8. The value of ( ) ( ) ( ) ( ) ( ) ( ) 222 2 2 2 2 2 2 222 x y z y x z z x y x z y x y z y z x - - - - - - ++ + - + - + - (a) 0 (b) 1 (c) -1 (d) ? 9. If abc = 2 then the value of 11 1 1 1 1 1 1 a 2b 1 c a 1 b c 2 -- - ++ + + + + ++ is (a) 1 (b) 2 (c) 3 (d) 1/2 10. If 3x 2 5x 6 - - is the duplicate ratio of 2/3 then the value of ‘x ‘ is (a) 2 (b) 6 (c) 5 (d) 9 11. If a and ß are the roots of the equation x 2 + 7x + 12 = 0, then the equation whose roots ( a + ß) 2 and (a - ß) 2 will be: (a) x 2 – 14x + 49 = 0 (b) x 2 – 24x + 144 = 0 (c) x 2 – 50x + 49 = 0 (d) x 2 – 19x + 144 = 0 12. Roots of the equation 2x 2 +3x+7 = 0 are a and ß then the value of a ß -1 + ß a -1 is (a) 2 (b) 3/7 (c) 7/2 (d) -19/14 3 13. On solving the inequalities 5x + y = 100, x + y = 60, x= 0, y= 0, we get the following situation: (a) (0,0), (20,0), (10,50), & (0,60) (b) (0,0), (60,0), (10,50), & (0,60) (c) (0,0), (20,0), (0,100) & (10,50) (d) none of these 14. The rules and regulations demand that the employer should employ not more than 5 experienced hands to 1 fresh one and this fact is represented by (Taking experienced person as x and fresh person as y) (a) 5 x y ? (b) 5y < x (c) 5y > x (d) none of these 15. In what time will be a sum of money doubles itself at 6.25% p.a simple interest ? (a) 5 years (b) 8 years (c) 12 years (d) 16 years 16. Mr. X invests ` 10,000 every year starting from today for next 10 years suppose interest rate is 8% per annum compounded annually. Calculate future value of the annuity: (Given that (1+0.08) 10 = 2.158925] (a) ` 156454.88 (b) ` 144865.625 (c) ` 156554.88 (d) none of these 17. The difference between the simple and compound interest on a certain of 3 years at 5% p.a is ` 228.75. The compound interest on the sum of for 2 years at 5% per annum is (a) ` 3175 (b) ` 3075 (c) ` 3275 (d) ` 2975 18. How much time would the simple interest on a certain sum be 0.125 times the principal at 10% per annum (a) 1 1 4 years (b) 1 3 4 years (c) 2 1 4 years (d) 2 3 4 years 4 19. The time in by which a sum of money is 8 times of itself if it doubles itself in 15 years interest compounded annually. (a) 42 years (b) 43 years (c) 45 years (d) 46 years 20. Present value of a scooter is `7290, if its value decreases every year by 10% then the value before 3 years is equal to (a) 10,000 (b) 10,500 (c) 20,000 (d) 20,500 21. Find the effective rate of interest at 10% p.a when the interest is payable quarterly. (a) 10.38% (b) 5% (c) 5.04% (d) 4% 22. The difference between in simple interest on a sum invested of `1500 for 3 years is `18. The difference in their rate is (a) 0.4 (b) 0.6 (c) 0.8 (d) 0.10 23. What will be the population after 3 years . When the population increases at the rate 3 % in I year, 4 % in II year and 5% in III year. (a) 28,119 (b) 29,118 (c) 27,000 (c) 30,000 24. If `10,000 is invested at 8 % per annum, then compounded quarterly.Then value of investment after 2 years is (a) `11,716.59 (b) `10,716.59 (c) `12,715.59 (d) none of these 25. In how many years will a sum of money become double at 5% p.a compound interest (a) 14 years (b) 15 years (c) 16 years Page 5 1 MOCK TEST PAPER 1 FOUNDATION COURSE PAPER 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS Time: 2 Hours Marks: 100 Part A: Business Mathematics and Logical Reasoning 1. Find the value of ( ) ( ) 2 3 10 10 10 log 25 - log 2 + log 4 ?? ?? (a) x (b) 10 (c) 1 (d) None 2. If A: B = 2:5, then (10A + 3B): (5A + 2B) is equal to (a) 7:4 (b) 7:3 (c) 6:5 (d) 7:9 3. The ratio compounded of 4:5 and sub-duplicate of a:9 is 8:15. Then value of “a” is (a) 2 (b) 3 (c) 4 (d) 5 4. If ½ , 1/3 ,1/5 and 1/x are in proportion , then the value of x will be (a) 15/2 (b) 6/5 (c) 10/3 (d) 5/6 5. If P = x 1/3 + x -1/3 then find value of 3p 3 – 9p (a) 3 (b) ½(x+1/x) (c) (x+1/x)) (d) 2((x+1/x)) 6. Fourth proportional to x, 2x, (x+1) is: (a) (x+2) (b) (x-2) (c) (2x+2) 2 (d) (2x-2) 7. The value of ( ) ( ) 1 31 3 + 3 3 - 3 nn nn + ++ is equal to (a) 1/5 (b) 1/6 (c) ¼ (d) 1/9 8. The value of ( ) ( ) ( ) ( ) ( ) ( ) 222 2 2 2 2 2 2 222 x y z y x z z x y x z y x y z y z x - - - - - - ++ + - + - + - (a) 0 (b) 1 (c) -1 (d) ? 9. If abc = 2 then the value of 11 1 1 1 1 1 1 a 2b 1 c a 1 b c 2 -- - ++ + + + + ++ is (a) 1 (b) 2 (c) 3 (d) 1/2 10. If 3x 2 5x 6 - - is the duplicate ratio of 2/3 then the value of ‘x ‘ is (a) 2 (b) 6 (c) 5 (d) 9 11. If a and ß are the roots of the equation x 2 + 7x + 12 = 0, then the equation whose roots ( a + ß) 2 and (a - ß) 2 will be: (a) x 2 – 14x + 49 = 0 (b) x 2 – 24x + 144 = 0 (c) x 2 – 50x + 49 = 0 (d) x 2 – 19x + 144 = 0 12. Roots of the equation 2x 2 +3x+7 = 0 are a and ß then the value of a ß -1 + ß a -1 is (a) 2 (b) 3/7 (c) 7/2 (d) -19/14 3 13. On solving the inequalities 5x + y = 100, x + y = 60, x= 0, y= 0, we get the following situation: (a) (0,0), (20,0), (10,50), & (0,60) (b) (0,0), (60,0), (10,50), & (0,60) (c) (0,0), (20,0), (0,100) & (10,50) (d) none of these 14. The rules and regulations demand that the employer should employ not more than 5 experienced hands to 1 fresh one and this fact is represented by (Taking experienced person as x and fresh person as y) (a) 5 x y ? (b) 5y < x (c) 5y > x (d) none of these 15. In what time will be a sum of money doubles itself at 6.25% p.a simple interest ? (a) 5 years (b) 8 years (c) 12 years (d) 16 years 16. Mr. X invests ` 10,000 every year starting from today for next 10 years suppose interest rate is 8% per annum compounded annually. Calculate future value of the annuity: (Given that (1+0.08) 10 = 2.158925] (a) ` 156454.88 (b) ` 144865.625 (c) ` 156554.88 (d) none of these 17. The difference between the simple and compound interest on a certain of 3 years at 5% p.a is ` 228.75. The compound interest on the sum of for 2 years at 5% per annum is (a) ` 3175 (b) ` 3075 (c) ` 3275 (d) ` 2975 18. How much time would the simple interest on a certain sum be 0.125 times the principal at 10% per annum (a) 1 1 4 years (b) 1 3 4 years (c) 2 1 4 years (d) 2 3 4 years 4 19. The time in by which a sum of money is 8 times of itself if it doubles itself in 15 years interest compounded annually. (a) 42 years (b) 43 years (c) 45 years (d) 46 years 20. Present value of a scooter is `7290, if its value decreases every year by 10% then the value before 3 years is equal to (a) 10,000 (b) 10,500 (c) 20,000 (d) 20,500 21. Find the effective rate of interest at 10% p.a when the interest is payable quarterly. (a) 10.38% (b) 5% (c) 5.04% (d) 4% 22. The difference between in simple interest on a sum invested of `1500 for 3 years is `18. The difference in their rate is (a) 0.4 (b) 0.6 (c) 0.8 (d) 0.10 23. What will be the population after 3 years . When the population increases at the rate 3 % in I year, 4 % in II year and 5% in III year. (a) 28,119 (b) 29,118 (c) 27,000 (c) 30,000 24. If `10,000 is invested at 8 % per annum, then compounded quarterly.Then value of investment after 2 years is (a) `11,716.59 (b) `10,716.59 (c) `12,715.59 (d) none of these 25. In how many years will a sum of money become double at 5% p.a compound interest (a) 14 years (b) 15 years (c) 16 years 5 (d) 14.3 years 26. The future value of an annuity of ` 1,000 is made annually for 5 years at interest rate of 14% compounded annually [Given that (1.14) 5 = 1.92541] is _______ (a) ` 5610 (b) ` 6610 (c) ` 6160 (d) ` 5160 27. The number of ways of arranging 6 boys and 4 girls in a row so that all 4 girls are together is: (a) 6!. 4! (b) 2 (7! 4!) (c) 7! 4! (d) 2. (6! 4!) (c) 4 (d) 5 30. How many different words can be formed with the letters of the word “LIBERTY” (a) 4050 (b) 5040 (c) 5400 (d) 4500 31. If x, y and z are the terms in G.P , then the term x 2 +y 2 , xy + yz , y 2 +z 2 are in (a) AP (b) GP (c) HP (d) none of the above 32. In a GP .if fourth term is 3 then the product of first seven terms is (a) 3 5 (b) 3 7 (c) 3 6 (d) 3 8 28. 15C 3r+15C r+3 then ‘r’ is equal to (a) 2 (b) 3 29. If n P4 = 20 ( n P 2) then the value of ‘n’ is _____ (a) -2 (b) 7 (c) -2 and 7 both (d) None of these.Read More
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FAQs on Mock Test: Business Mathematics, Logical Reasoning and Statistics(Paper-3) - May 2022 - Mock Tests & Past Year Papers for CA Foundation
| 1. What are the important topics to cover for the CA Foundation Business Mathematics exam? |  |
Ans. The important topics to cover for the CA Foundation Business Mathematics exam include ratio and proportion, equations and inequalities, time and work, percentage and its applications, and stocks and shares.
| 2. How can I improve my logical reasoning skills for the CA Foundation exam? | |
Ans. To improve your logical reasoning skills for the CA Foundation exam, you can practice solving various logical reasoning puzzles and questions. Additionally, you can also enhance your skills by studying logical reasoning concepts and techniques from reliable study materials or online resources.
| 3. What are the key statistical concepts that I should focus on for the CA Foundation exam? | |
Ans. The key statistical concepts that you should focus on for the CA Foundation exam include measures of central tendency (mean, median, mode), measures of dispersion (range, variance, standard deviation), probability, and sampling techniques.
| 4. How can I effectively prepare for the CA Foundation exam in Business Mathematics, Logical Reasoning, and Statistics? | |
Ans. To effectively prepare for the CA Foundation exam in Business Mathematics, Logical Reasoning, and Statistics, you can follow these steps:
1. Create a study schedule and allocate specific time for each subject.
2. Understand the exam syllabus and exam pattern.
3. Study from reliable study materials and practice solving previous years' question papers.
4. Make use of online resources, video tutorials, and mock tests for better understanding and practice.
5. Revise regularly and focus on weak areas to strengthen your knowledge and skills.
| 5. Are there any specific tips for time management during the CA Foundation exam? | |
Ans. Yes, here are some specific tips for time management during the CA Foundation exam:
1. Read the instructions carefully before starting the exam.
2. Allocate time for each section according to your proficiency and the marks allotted.
3. Start with the section you are most comfortable with to build confidence and save time.
4. If you get stuck on a difficult question, move on and come back to it later if time permits.
5. Keep track of time and ensure that you complete all the questions within the given time frame.
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The content of Mock Test: Business Mathematics, Logical Reasoning and Statistics(Paper-3) - May 2022 is prepared as per the latest CA Foundation syllabus.
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