CMA-MathTest-17-08-2024-AB (1).pdf

CMA-FOUNDATION DECEMBER 2024 BATCH TEST OF MATHS HELD ON-17-08-2024 M.M. - 50 SET- A TIME - 1 HR. Question Booklet Code- QAT...

CMA-FOUNDATION DECEMBER 2024 BATCH TEST OF MATHS HELD ON-17-08-2024 M.M. - 50 SET- A TIME - 1 HR. Question Booklet Code- QAT Question Booklet No. 170824 ============================================================================== Find the ratio compounded of duplicate ratio of 4:5, triplicate ratio of 1:3, Sub-duplicate ratio of 81:256 and sub-triplicate ratio of 125:512 is :- (a) 1:118 (b) 1:120 (c) 1:115 (d) None A person A earn Rs. 80 in 7 hrs. and an another person B earn Rs. 90 in 12 hrs. Then find the ratio of their income. (a) 12:21 (b) 32:21 (c) 27:21 (d) None Find the mean proportional between 1.4 gm and 5.6 gm (a) 1.4 gm (b) 2.6 gm (c) 2.8 gm (d) None 2 1 3 (125)3 × √25 × √53 × 52 = (a) 625√4 (b) 625√5 (c) 625√6 (d) None (𝑎+𝑏) (𝑏+𝑐) (𝑐+𝑎) 𝑥𝑎 𝑥𝑏 𝑥𝑐 ( 𝑏) ×( 𝑐 ) ×( 𝑎) = 𝑥 𝑥 𝑥 (a) – 1 (b) 1 (c) 0 (d) None 1 1 X = 53 + 5− 3 , then find the value of 5x3−15x (a) 28 (b) 26 (c) 30 (d) None log 2√3 1728 (a) 28 (b) 3 (c) 6 (d) None 21 log 2 x + log 4 x + log16 x = then find the value of x 4 (a) 4 (b) 6 (c) 8 (d) None log a log b log c = = , then abc = ? y−z z−x x−y (a) 1 (b) 21 (c) 0 (d) None If a = 5 and d = 3, then find the value of its 47 th term (a) 149 (b) 145 (c) 143 (d) None In an A.P. a = 5, 𝑎𝑛 = 270 & d = 6 then find the number of terms. (a) 2 (b) 4 (c) 8 (d) None If 𝑇5 of AP is 12, and the twelfth term is 5, then find value of its 17th term. (a) 0 (b) 1 (c) 7 (d) None Find the sum of 100 terms of the series 9, 5, 1…….. (a) – 18900 (b) 18900 (c) 16900 (d) None 2 1 If 𝑆𝑛 is 155 then find the number of terms in the series 10, 9 , 9 , ……... 3 3 (a) 31 (b) 30 (c) 31 and 30 (d) None Excel Educational Institute CA-FOUNDATION TEST PAPERS Page 1 Website: www.exceledu.co.in Contact us: 09926821000, 07714095300  A person pays Rs. 975 by monthly installment such that each installment is Rs. 5 less than the previous installment. If the first installment was of Rs. 100 then find the time by which entire amount will be paid. (a) 15 (b) 26 (c) Both 15 & 26 (d) None of these Sum of all numbers between 500 & 1000 which are exactly divisible by 13 is :- (a) 28540 (b) 28402 (c) 28405 (d) None If unity is added to the sum of any number of terms of the AP 3, 5, 7, 9…. Then, the resulting number will be:- (a) A Prime number (b) A Perfect square number (c) A Perfect cube number (d) None of these Find the Arithmetic Mean between 33 and 77. (a) 45 (b) 55 (c) 57 (d) None The three numbers 2x, x + 10, 3x + 2 are in AP, find the value of x. (a) 9 (b) 3 (c) 6 (d) None x + 11 x+1 x+7 Find the value of x, if − = 6 9 4 1 −1 4 (a) (b) (c) (d) None 7 7 7 Find the value of x and y, if 3x + 4y = 7 & 4x – y = 3 (a) x = 2, y = 1 (b) x = 1, y = 1 (c) x = 1, y = 2 (d) None 1 Find the value of 4+ 1 4+ 1 4+ 1 4+ 4+−−−∞ (a) 2+√3 (b) 2+√2 (c) 2+√5 (d) None Find the Quadratic Equation whose one of the root is (2 + √3 ) (a) x2 – 4x + 1 = 0 (b) x2 + 4x + 7 = 0 (c) x2 – 4x + 7 = 0 (d) None Divide 56 into two parts such that the three times of first part exceeds 1/3 of the second part by 48. (a) (36, 20) (b) (20, 36) (c) (26, 26) (d) (30, 26) Ten years ago, age of a father is 4 times the age of his son. 10 years hence the age of father will be twice of that of his son. Find the present age of the Father & Son. (a) 60, 30 (b) 50, 20 (c) 60, 20 (d) None The three persons A, B and C together have Rs.51. B has 4/5 times of A and C has 3/4 time of A, then they have the money as :- (a) (20, 16, 15) (b) (15, 16, 20) (c) (20, 22, 15) (d) None The half of a number is 15 more than 1/5 of the number. Find the number. (a) 45 (b) 50 (c) 51 (d) None 1 1 The sum of two numbers is 16. If of the greater number is equal to of the smaller number, then find the 5 3 number. (a) 2, 12 (b) 6, 10 (c) 8, 8 (d) None The two numbers are such that the twice of the greater number is 18 more than the twice of smaller number, if the sum of the 1/3 of the smaller and 1/5 of the greater is 21 then the numbers are (a) 50, 41 (b) 55, 46 (c) 45, 36 (d) None of these Excel Educational Institute CA-FOUNDATION TEST PAPERS Page 2 Website: www.exceledu.co.in Contact us: 09926821000, 07714095300  If the mean of the given table is 15. Then find k. X 7 10 2 K 19 22 13 30 F 6 4 12 7 3 1 5 2 (a) 87.29 (b) 41.20 (c) 41.42 (d) 43.76 The average score of a class is 70. If the average score of 30 boys is 60. Then find the average score of 40 girls. (a) 81.5 (b) 77.5 (c) 86.5 (d) 89.6 Find mode – X 3 5 4 7 10 6 F 2 8 15 11 7 10 (a) 5 (b) 7 (c) 6 (d) 4 Find the median of the given table- X 3 7 11 16 20 23 27 30 F 6 3 4 6 2 6 3 10 (a) 26.55 (b) 20 (c) 55.99 (d) 40.9 Find Q1, D6, P87. X 11 17 21 5 19 14 8 27 (a) 7.75, 15.2, 25.9 (b) 8.75, 12.6, 23.7 (c) 8.6, 18.9, 20.5 (d) 8.75, 17.8, 25.98 Find Q1, D7, P39, C.I. 0-10 10-20 20-30 30-40 40-50 50-60 60-70 F 6 5 3 4 2 3 5 (a) 12, 48, 22 (b) 12, 50, 20 (c) 12, 48, 19.84 (d) None of these Find the Range & Coefficient of range of the given data- 6, 10, 5, 19, 27, 2, 11, 15, 18, 25, 32 (a) 33, 82.23% (b) 30, 88.235% (c) 35, 78.245% (d) None Find range and the coefficient of range of given data- C.I. 0-10 10-20 20-30 30-40 40-50 50-60 60-70 F 5 6 7 8 10 9 8 (a) 70, 100% (b) 69, 100% (c) 60, 100% (d) None of these Find Q.D. and Coefficient Of Quartile Deviation (C.O.Q.D.) X 2 11 19 7 15 23 30 26 F 15 10 7 11 4 3 2 1 (a) 9.5, 40.15% (b) 7.5, 81.92% (c) 8.5, 80.95% (d) None Find Q.D. and Coefficient Of Quartile Deviation (C.O.Q.D.) X 5 11 19 8 15 2 21 27 24 (a) 8, 55.17% (b) 9, 54.18% (c) 4, 45.13% (d) None Find 𝑀𝐷𝑋 and 𝐶𝑂𝑀𝐷𝑋 of X 3 2 5 4 F 2 4 1 3 (a) 1.52, 29.47% (b) 0.94, 29.87% (c) 0.92, 29.67% (d) None Excel Educational Institute CA-FOUNDATION TEST PAPERS Page 3 Website: www.exceledu.co.in Contact us: 09926821000, 07714095300  Find 𝑀𝐷𝑚𝑑 & 𝐶𝑂𝑀𝐷𝑚𝑑 of C.I. 5-15 15-20 20-30 30-50 50-60 60-70 F 3 7 8 6 4 2 (a) 15.16, 51.55% (b) 13.16, 50.15% (c) 63.86, 70.15% (d) None Find 𝛔 , 𝛔𝟐 and Coefficient of Standard Deviation (C.O.S.D.) of the given table- X 2 3 7 13 10 5 1 (a) 2.096, 86.772, 79.01% (b) 4.446, 16.112, 75.01% (c) 4.096, 16.772, 70.01% (d) None Find 𝛔, Variance (𝛔𝟐 ) and C.O.S.D. of the given table- X 3 2 5 9 1 F 5 3 1 2 9 (a) 1.540, 3.749, 92.83% (b) 2.37, 5.62, 89.5% (c) 1.224, 2.637, 47.76% (d) None The score of the two students in the last 5 test are given, which student scores consistently. Student A 3 7 4 5 2 Student B 8 5 6 2 3 (a) Both Student (b) Student B (c) Student A (d) None Calculate the combined standard deviation, given that - n1 = 15 , n2 = 25 , 𝜎1 = 4 , 𝜎2 = 3 , 𝑥1 = 5 , 𝑥2 = 7 (a) 3.54 (b) 5.43 (c) 4.53 (d) None The average score of 20 students of a class is 70 and the SD of their score is 5. Later on it was found that the score of a students was wrongly taken as 68 instead of 78. Find correct SD. (a) 4.56 (b) 6.25 (c) 5.26 (d) None Find the GM of 2, 7, and 9 (a) 5.2645 (b) 5.01647 (c) 4.8156 (d) None Find the GM of given table- C.I. 0-10 10-20 20-30 30-40 40-50 F 4 8 10 6 7 (a) 22.05 (b) 21.5 (c) 23.8 (d) None A person travels from city−A to city−B with an average speed of 60km/hr, and then he travels from city- B to C with an average speed of 80 km/hr, then from C to D with an average speed of 100 km/hr. If the distance between A to B, B to C, C to D are same, then find his average speed for the whole journey. (a) 76.53 km/hr (b) 75 km/hr (c) 85.68 km/hr (d) None A person travels first 300 km of his journey with an average speed of 60 km/h and then he travels next 500 km with an average speed of 80 km/hr. Find his average speed for the whole journey. (a) 71. 11 km/hr (b) 81.12 km/hr (c) 61.45 km/hr (d) None Excel Educational Institute CA-FOUNDATION TEST PAPERS Page 4 Website: www.exceledu.co.in Contact us: 09926821000, 07714095300  CMA-FOUNDATION DECEMBER 2024 BATCH TEST OF MATHS HELD ON-17-08-2024 M.M. - 50 SET- B TIME - 1 HR. Question Booklet Code- QAT Question Booklet No. 170824 ============================================================================== Find the value of x and y, if 3x + 4y = 7 & 4x – y = 3 (a) x = 2, y = 1 (b) x = 1, y = 1 (c) x = 1, y = 2 (d) None 1 Find the value of 4+ 1 4+ 1 4+ 1 4+ 4+−−−∞ (a) 2+√3 (b) 2+√2 (c) 2+√5 (d) None Find the Quadratic Equation whose one of the root is (2 + √3 ) (a) x2 – 4x + 1 = 0 (b) x2 + 4x + 7 = 0 (c) x2 – 4x + 7 = 0 (d) None Divide 56 into two parts such that the three times of first part exceeds 1/3 of the second part by 48. (a) (36, 20) (b) (20, 36) (c) (26, 26) (d) (30, 26) Ten years ago, age of a father is 4 times the age of his son. 10 years hence the age of father will be twice of that of his son. Find the present age of the Father & Son. (a) 60, 30 (b) 50, 20 (c) 60, 20 (d) None The three persons A, B and C together have Rs.51. B has 4/5 times of A and C has 3/4 time of A, then they have the money as :- (a) (20, 16, 15) (b) (15, 16, 20) (c) (20, 22, 15) (d) None The half of a number is 15 more than 1/5 of the number. Find the number. (a) 45 (b) 50 (c) 51 (d) None 1 1 The sum of two numbers is 16. If of the greater number is equal to of the smaller number, then find the 5 3 number. (a) 2, 12 (b) 6, 10 (c) 8, 8 (d) None A person pays Rs. 975 by monthly installment such that each installment is Rs. 5 less than the previous installment. If the first installment was of Rs. 100 then find the time by which entire amount will be paid. (a) 15 (b) 26 (c) Both 15 & 26 (d) None of these Sum of all numbers between 500 & 1000 which are exactly divisible by 13 is :- (a) 28540 (b) 28402 (c) 28405 (d) None If unity is added to the sum of any number of terms of the AP 3, 5, 7, 9…. Then, the resulting number will be:- (a) A Prime number (b) A Perfect square number (c) A Perfect cube number (d) None of these Find the Arithmetic Mean between 33 and 77. (a) 45 (b) 55 (c) 57 (d) None The three numbers 2x, x + 10, 3x + 2 are in AP, find the value of x. (a) 9 (b) 3 (c) 6 (d) None Excel Educational Institute CA-FOUNDATION TEST PAPERS Page 5 Website: www.exceledu.co.in Contact us: 09926821000, 07714095300  x + 11 x+1 x+7 Find the value of x, if − = 6 9 4 1 −1 4 (a) (b) (c) (d) None 7 7 7 log 2√3 1728 (a) 28 (b) 3 (c) 6 (d) None 21 log 2 x + log 4 x + log16 x = then find the value of x 4 (a) 4 (b) 6 (c) 8 (d) None log a log b log c = = , then abc = ? y−z z−x x−y (a) 1 (b) 21 (c) 0 (d) None If a = 5 and d = 3, then find the value of its 47th term (a) 149 (b) 145 (c) 143 (d) None In an A.P. a = 5, 𝑎𝑛 = 270 & d = 6 then find the number of terms. (a) 2 (b) 4 (c) 8 (d) None If 𝑇5 of AP is 12, and the twelfth term is 5, then find value of its 17th term. (a) 0 (b) 1 (c) 7 (d) None Find the sum of 100 terms of the series 9, 5, 1…….. (a) – 18900 (b) 18900 (c) 16900 (d) None 2 1 If 𝑆𝑛 is 155 then find the number of terms in the series 10, 9 , 9 , ……... 3 3 (a) 31 (b) 30 (c) 31 and 30 (d) None Find the ratio compounded of duplicate ratio of 4:5, triplicate ratio of 1:3, Sub-duplicate ratio of 81:256 and sub-triplicate ratio of 125:512 is :- (a) 1:118 (b) 1:120 (c) 1:115 (d) None A person A earn Rs. 80 in 7 hrs. and an another person B earn Rs. 90 in 12 hrs. Then find the ratio of their income. (a) 12:21 (b) 32:21 (c) 27:21 (d) None Find the mean proportional between 1.4 gm and 5.6 gm (a) 1.4 gm (b) 2.6 gm (c) 2.8 gm (d) None 2 1 3 (125)3 × √25 × √53 × 52 = (a) 625√4 (b) 625√5 (c) 625√6 (d) None (𝑎+𝑏) (𝑏+𝑐) (𝑐+𝑎) 𝑥𝑎 𝑥𝑏 𝑥𝑐 ( 𝑏) ×( 𝑐 ) ×( 𝑎) = 𝑥 𝑥 𝑥 (a) – 1 (b) 1 (c) 0 (d) None Calculate the combined standard deviation, given that - n1 = 15 , n2 = 25 , 𝜎1 = 4 , 𝜎2 = 3 , 𝑥1 = 5 , 𝑥2 = 7 (a) 3.54 (b) 5.43 (c) 4.53 (d) None Excel Educational Institute CA-FOUNDATION TEST PAPERS Page 6 Website: www.exceledu.co.in Contact us: 09926821000, 07714095300  The average score of 20 students of a class is 70 and the SD of their score is 5. Later on it was found that the score of a students was wrongly taken as 68 instead of 78. Find correct SD. (a) 4.56 (b) 6.25 (c) 5.26 (d) None Find the GM of 2, 7, and 9 (a) 5.2645 (b) 5.01647 (c) 4.8156 (d) None Find the GM of given table- C.I. 0-10 10-20 20-30 30-40 40-50 F 4 8 10 6 7 (a) 22.05 (b) 21.5 (c) 23.8 (d) None A person travels from city−A to city−B with an average speed of 60km/hr, and then he travels from city- B to C with an average speed of 80 km/hr, then from C to D with an average speed of 100 km/hr. If the distance between A to B, B to C, C to D are same, then find his average speed for the whole journey. (a) 76.53 km/hr (b) 75 km/hr (c) 85.68 km/hr (d) None A person travels first 300 km of his journey with an average speed of 60 km/h and then he travels next 500 km with an average speed of 80 km/hr. Find his average speed for the whole journey. (a) 71. 11 km/hr (b) 81.12 km/hr (c) 61.45 km/hr (d) None Find 𝑀𝐷𝑋 and 𝐶𝑂𝑀𝐷𝑋 of X 3 2 5 4 F 2 4 1 3 (a) 1.52, 29.47% (b) 0.94, 29.87% (c) 0.92, 29.67% (d) None Find 𝑀𝐷𝑚𝑑 & 𝐶𝑂𝑀𝐷𝑚𝑑 of C.I. 5-15 15-20 20-30 30-50 50-60 60-70 F 3 7 8 6 4 2 (a) 15.16, 51.55% (b) 13.16, 50.15% (c) 63.86, 70.15% (d) None Find 𝛔 , 𝛔𝟐 and Coefficient of Standard Deviation (C.O.S.D.) of the given table- X 2 3 7 13 10 5 1 (a) 2.096, 86.772, 79.01% (b) 4.446, 16.112, 75.01% (c) 4.096, 16.772, 70.01% (d) None Find 𝛔, Variance (𝛔𝟐 ) and C.O.S.D. of the given table- X 3 2 5 9 1 F 5 3 1 2 9 (a) 1.540, 3.749, 92.83% (b) 2.37, 5.62, 89.5% (c) 1.224, 2.637, 47.76% (d) None The score of the two students in the last 5 test are given, which student scores consistently. Student A 3 7 4 5 2 Student B 8 5 6 2 3 (a) Both Student (b) Student B (c) Student A (d) None 1 1 X = 53 + 5− 3 , then find the value of 5x3−15x (a) 28 (b) 26 (c) 30 (d) None Excel Educational Institute CA-FOUNDATION TEST PAPERS Page 7 Website: www.exceledu.co.in Contact us: 09926821000, 07714095300  Find Q1, D6, P87. X 11 17 21 5 19 14 8 27 (a) 7.75, 15.2, 25.9 (b) 8.75, 12.6, 23.7 (c) 8.6, 18.9, 20.5 (d) 8.75, 17.8, 25.98 Find Q1, D7, P39, C.I. 0-10 10-20 20-30 30-40 40-50 50-60 60-70 F 6 5 3 4 2 3 5 (a) 12, 48, 22 (b) 12, 50, 20 (c) 12, 48, 19.84 (d) None of these Find the Range & Coefficient of range of the given data- 6, 10, 5, 19, 27, 2, 11, 15, 18, 25, 32 (a) 33, 82.23% (b) 30, 88.235% (c) 35, 78.245% (d) None Find range and the coefficient of range of given data- C.I. 0-10 10-20 20-30 30-40 40-50 50-60 60-70 F 5 6 7 8 10 9 8 (a) 70, 100% (b) 69, 100% (c) 60, 100% (d) None of these Find Q.D. and Coefficient Of Quartile Deviation (C.O.Q.D.) X 2 11 19 7 15 23 30 26 F 15 10 7 11 4 3 2 1 (a) 9.5, 40.15% (b) 7.5, 81.92% (c) 8.5, 80.95% (d) None Find Q.D. and Coefficient Of Quartile Deviation (C.O.Q.D.) X 5 11 19 8 15 2 21 27 24 (a) 8, 55.17% (b) 9, 54.18% (c) 4, 45.13% (d) None The two numbers are such that the twice of the greater number is 18 more than the twice of smaller number, if the sum of the 1/3 of the smaller and 1/5 of the greater is 21 then the numbers are (a) 50, 41 (b) 55, 46 (c) 45, 36 (d) None of these If the mean of the given table is 15. Then find k. X 7 10 2 K 19 22 13 30 F 6 4 12 7 3 1 5 2 (a) 87.29 (b) 41.20 (c) 41.42 (d) 43.76 The average score of a class is 70. If the average score of 30 boys is 60. Then find the average score of 40 girls. (a) 81.5 (b) 77.5 (c) 86.5 (d) 89.6 Find mode – X 3 5 4 7 10 6 F 2 8 15 11 7 10 (a) 5 (b) 7 (c) 6 (d) 4 Find the median of the given table- X 3 7 11 16 20 23 27 30 F 6 3 4 6 2 6 3 10 (a) 26.55 (b) 20 (c) 55.99 (d) 40.9 Excel Educational Institute CA-FOUNDATION TEST PAPERS Page 8 Website: www.exceledu.co.in Contact us: 09926821000, 07714095300  CMA-FOUNDATION DECEMBER 2024 BATCH TEST OF MATHS HELD ON-17-08-2024 M.M. - 50 SET- C TIME - 1 HR. Question Booklet Code- QAT Question Booklet No. 170824 ============================================================================== Find 𝑀𝐷𝑋 and 𝐶𝑂𝑀𝐷𝑋 of X 3 2 5 4 F 2 4 1 3 (a) 1.52, 29.47% (b) 0.94, 29.87% (c) 0.92, 29.67% (d) None Find 𝑀𝐷𝑚𝑑 & 𝐶𝑂𝑀𝐷𝑚𝑑 of C.I. 5-15 15-20 20-30 30-50 50-60 60-70 F 3 7 8 6 4 2 (a) 15.16, 51.55% (b) 13.16, 50.15% (c) 63.86, 70.15% (d) None Find 𝛔 , 𝛔𝟐 and Coefficient of Standard Deviation (C.O.S.D.) of the given table- X 2 3 7 13 10 5 1 (a) 2.096, 86.772, 79.01% (b) 4.446, 16.112, 75.01% (c) 4.096, 16.772, 70.01% (d) None Find 𝛔, Variance (𝛔𝟐 ) and C.O.S.D. of the given table- X 3 2 5 9 1 F 5 3 1 2 9 (a) 1.540, 3.749, 92.83% (b) 2.37, 5.62, 89.5% (c) 1.224, 2.637, 47.76% (d) None The score of the two students in the last 5 test are given, which student scores consistently. Student A 3 7 4 5 2 Student B 8 5 6 2 3 (a) Both Student (b) Student B (c) Student A (d) None 1 1 X = 53 + 5− 3 , then find the value of 5x3−15x (a) 28 (b) 26 (c) 30 (d) None The average score of 20 students of a class is 70 and the SD of their score is 5. Later on it was found that the score of a students was wrongly taken as 68 instead of 78. Find correct SD. (a) 4.56 (b) 6.25 (c) 5.26 (d) None Find the GM of 2, 7, and 9 (a) 5.2645 (b) 5.01647 (c) 4.8156 (d) None Find the GM of given table- C.I. 0-10 10-20 20-30 30-40 40-50 F 4 8 10 6 7 (a) 22.05 (b) 21.5 (c) 23.8 (d) None Excel Educational Institute CA-FOUNDATION TEST PAPERS Page 9 Website: www.exceledu.co.in Contact us: 09926821000, 07714095300  A person travels from city−A to city−B with an average speed of 60km/hr, and then he travels from city- B to C with an average speed of 80 km/hr, then from C to D with an average speed of 100 km/hr. If the distance between A to B, B to C, C to D are same, then find his average speed for the whole journey. (a) 76.53 km/hr (b) 75 km/hr (c) 85.68 km/hr (d) None A person travels first 300 km of his journey with an average speed of 60 km/h and then he travels next 500 km with an average speed of 80 km/hr. Find his average speed for the whole journey. (a) 71. 11 km/hr (b) 81.12 km/hr (c) 61.45 km/hr (d) None The two numbers are such that the twice of the greater number is 18 more than the twice of smaller number, if the sum of the 1/3 of the smaller and 1/5 of the greater is 21 then the numbers are (a) 50, 41 (b) 55, 46 (c) 45, 36 (d) None of these If the mean of the given table is 15. Then find k. X 7 10 2 K 19 22 13 30 F 6 4 12 7 3 1 5 2 (a) 87.29 (b) 41.20 (c) 41.42 (d) 43.76 The average score of a class is 70. If the average score of 30 boys is 60. Then find the average score of 40 girls. (a) 81.5 (b) 77.5 (c) 86.5 (d) 89.6 Find mode – X 3 5 4 7 10 6 F 2 8 15 11 7 10 (a) 5 (b) 7 (c) 6 (d) 4 Find the median of the given table- X 3 7 11 16 20 23 27 30 F 6 3 4 6 2 6 3 10 (a) 26.55 (b) 20 (c) 55.99 (d) 40.9 Find Q1, D6, P87. X 11 17 21 5 19 14 8 27 (a) 7.75, 15.2, 25.9 (b) 8.75, 12.6, 23.7 (c) 8.6, 18.9, 20.5 (d) 8.75, 17.8, 25.98 A person A earn Rs. 80 in 7 hrs. and an another person B earn Rs. 90 in 12 hrs. Then find the ratio of their income. (a) 12:21 (b) 32:21 (c) 27:21 (d) None Find the mean proportional between 1.4 gm and 5.6 gm (a) 1.4 gm (b) 2.6 gm (c) 2.8 gm (d) None 2 1 3 (125)3 × √25 × √53 × 52 = (a) 625√4 (b) 625√5 (c) 625√6 (d) None (𝑎+𝑏) (𝑏+𝑐) (𝑐+𝑎) 𝑥𝑎 𝑥𝑏 𝑥𝑐 ( 𝑏) ×( 𝑐 ) ×( 𝑎) = 𝑥 𝑥 𝑥 (a) – 1 (b) 1 (c) 0 (d) None Excel Educational Institute CA-FOUNDATION TEST PAPERS Page 10 Website: www.exceledu.co.in Contact us: 09926821000, 07714095300  Calculate the combined standard deviation, given that - n1 = 15 , n2 = 25 , 𝜎1 = 4 , 𝜎2 = 3 , 𝑥1 = 5 , 𝑥2 = 7 (a) 3.54 (b) 5.43 (c) 4.53 (d) None Find Q1, D7, P39, C.I. 0-10 10-20 20-30 30-40 40-50 50-60 60-70 F 6 5 3 4 2 3 5 (a) 12, 48, 22 (b) 12, 50, 20 (c) 12, 48, 19.84 (d) None of these Find the Range & Coefficient of range of the given data- 6, 10, 5, 19, 27, 2, 11, 15, 18, 25, 32 (a) 33, 82.23% (b) 30, 88.235% (c) 35, 78.245% (d) None Find range and the coefficient of range of given data- C.I. 0-10 10-20 20-30 30-40 40-50 50-60 60-70 F 5 6 7 8 10 9 8 (a) 70, 100% (b) 69, 100% (c) 60, 100% (d) None of these Find Q.D. and Coefficient Of Quartile Deviation (C.O.Q.D.) X 2 11 19 7 15 23 30 26 F 15 10 7 11 4 3 2 1 (a) 9.5, 40.15% (b) 7.5, 81.92% (c) 8.5, 80.95% (d) None Find Q.D. and Coefficient Of Quartile Deviation (C.O.Q.D.) X 5 11 19 8 15 2 21 27 24 (a) 8, 55.17% (b) 9, 54.18% (c) 4, 45.13% (d) None Find the ratio compounded of duplicate ratio of 4:5, triplicate ratio of 1:3, Sub-duplicate ratio of 81:256 and sub-triplicate ratio of 125:512 is :- (a) 1:118 (b) 1:120 (c) 1:115 (d) None If a = 5 and d = 3, then find the value of its 47 th term (a) 149 (b) 145 (c) 143 (d) None In an A.P. a = 5, 𝑎𝑛 = 270 & d = 6 then find the number of terms. (a) 2 (b) 4 (c) 8 (d) None If 𝑇5 of AP is 12, and the twelfth term is 5, then find value of its 17th term. (a) 0 (b) 1 (c) 7 (d) None Find the sum of 100 terms of the series 9, 5, 1…….. (a) – 18900 (b) 18900 (c) 16900 (d) None 2 1 If 𝑆𝑛 is 155 then find the number of terms in the series 10, 9 , 9 , ……... 3 3 (a) 31 (b) 30 (c) 31 and 30 (d) None x + 11 x+1 x+7 Find the value of x, if − = 6 9 4 1 −1 4 (a) (b) (c) (d) None 7 7 7 log 2√3 1728 (a) 28 (b) 3 (c) 6 (d) None Excel Educational Institute CA-FOUNDATION TEST PAPERS Page 11 Website: www.exceledu.co.in Contact us: 09926821000, 07714095300  21 log 2 x + log 4 x + log16 x = then find the value of x 4 (a) 4 (b) 6 (c) 8 (d) None log a log b log c = = , then abc = ? y−z z−x x−y (a) 1 (b) 21 (c) 0 (d) None 1 1 The sum of two numbers is 16. If of the greater number is equal to of the smaller number, then find the 5 3 number. (a) 2, 12 (b) 6, 10 (c) 8, 8 (d) None A person pays Rs. 975 by monthly installment such that each installment is Rs. 5 less than the previous installment. If the first installment was of Rs. 100 then find the time by which entire amount will be paid. (a) 15 (b) 26 (c) Both 15 & 26 (d) None of these Sum of all numbers between 500 & 1000 which are exactly divisible by 13 is :- (a) 28540 (b) 28402 (c) 28405 (d) None If unity is added to the sum of any number of terms of the AP 3, 5, 7, 9…. Then, the resulting number will be:- (a) A Prime number (b) A Perfect square number (c) A Perfect cube number (d) None of these Find the Arithmetic Mean between 33 and 77. (a) 45 (b) 55 (c) 57 (d) None The three numbers 2x, x + 10, 3x + 2 are in AP, find the value of x. (a) 9 (b) 3 (c) 6 (d) None Find the value of x and y, if 3x + 4y = 7 & 4x – y = 3 (a) x = 2, y = 1 (b) x = 1, y = 1 (c) x = 1, y = 2 (d) None 1 Find the value of 4+ 1 4+ 1 4+ 1 4+ 4+−−−∞ (a) 2+√3 (b) 2+√2 (c) 2+√5 (d) None Find the Quadratic Equation whose one of the root is (2 + √3 ) (a) x2 – 4x + 1 = 0 (b) x2 + 4x + 7 = 0 (c) x2 – 4x + 7 = 0 (d) None Divide 56 into two parts such that the three times of first part exceeds 1/3 of the second part by 48. (a) (36, 20) (b) (20, 36) (c) (26, 26) (d) (30, 26) Ten years ago, age of a father is 4 times the age of his son. 10 years hence the age of father will be twice of that of his son. Find the present age of the Father & Son. (a) 60, 30 (b) 50, 20 (c) 60, 20 (d) None The three persons A, B and C together have Rs.51. B has 4/5 times of A and C has 3/4 time of A, then they have the money as :- (a) (20, 16, 15) (b) (15, 16, 20) (c) (20, 22, 15) (d) None The half of a number is 15 more than 1/5 of the number. Find the number. (a) 45 (b) 50 (c) 51 (d) None Excel Educational Institute CA-FOUNDATION TEST PAPERS Page 12 Website: www.exceledu.co.in Contact us: 09926821000, 07714095300