**NATIONAL MANAGEMENT COLLEGE, THUDUPATHI.**

**CA FOUNDATION**

**PAPER – 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS**

**Revision test 5 (29.03.2022)**

** ****Time ****Allowed**** ****: ½ hour**** ****Maximum ****Marks:**** ****25**

**1) The sum of the series 7+14+21+…… 17 ^{th} term is**

a)1071 b)971 c)1171 d)1271

**2) The sum of n terms of an A.P is 3n ^{2} +5n . The series is**

- a) 8,14,20,26,…. b) 8,22 , 42,68,…..

c)22,68,114,… d)8,14,28,44,……

**3)The largest value of n for which _{ }< 0.988 is**

- a) 9 b) 6 c)7 d) 8

**4) If Y = 1+x + x ^{2} + ……………….. ∞ then x =**

- a) b)c)d)

**5)If 2 + 6 + 10 + 14 + 18 +………….. + x = 882 then the value of x**

(a) 78 (b) 80 (c) 82 (d) 86

**6) In a G.P, If the fourth term is ‘3’ then the product of first seven terms is**

(a) 3^{5} (b) 3^{7} (c) 3^{6} (d) 3^{8}

**7) The Ratio of sum of n terms of the two AP’s is (n +1) : (n–1) then the Ratio of their m ^{th} terms is**

(a) (m + 1) : 2m (b) (m + 1) : (m –1)

(c) (2m –1) :(m + 1) (d) m : (m – 1)

**8) In the series 25, 5, 1, …….. 1/3125 which term is 1/3125 ?**

(a) 8th term (b) 9th term

(c) 15th term (d) None of these

**9) The sum of five terms of AP is 75, find the 3 ^{rd} term is.**

(a) 20 (b) 30 (c) 15 (d) None of these

**10) are in AP then a,b,c are in**

(a) AP (b) GP (c) HP (d) None of these

**11) The sum of series up to infinity is**

(a) 25/24 (b) 19/24 (c) 1/12 (d) None of these

**12) A person employed in a company at Rs 3000 per month and he would get an increase of Rs 100 per year. Find the total amount which he receives in 25 years and the monthly salary in the last year.**

(a) 1380000 and 6200 (b)930000 and 5400 (c)1480000 and 7200 (d)1570000 and 4800

**13) The sum of the infinite GP 0.171-0.114+0.076……… is**

(a)0.1226 (b)0.1020 (c)0.1026 (d)None of these

**14) The A.M and G.M of two positive numbers is 10. The numbers are**

(a)(10, 10) (b)(15, 5) (c)(5, 15) (d)(20, 0)

**15) The sum of all natural numbers between 100 and 1000 which are multiples of 5 is**

a)98450 b)96450 c)97450 d)95450

**16) The sum of AP ,whose first term is -4 and last term is 146 is 7171.find the value of n.**

- a)99 b)100 c)101 d)102

**17) On 1st January every year a person buys National Saving Certificates of value exceeding that of his last years purchase by Rs 100. after 10 years, he finds that the total value of the Certificates purchased by him is Rs 54500. find the value of Certificates purchased by him in the 1st year.**

a)6000 b)4000 c)5000 d)5500

**18) A certain ball when dropped to the ground rebounds to 4/5th of the height from which it falls ;it is dropped from a height of 100 meters find the total distance it travels before finally coming to rest:**

a)600m b)700m c)900m d)200m

**19) The sum of all two digit odd numbers is**

A)2475 B)2575 C)4950 D)5049

**20) (k +1) , 3k and (4k +2) be any three consecutive terms of an A.P then the value of k is**

a)0 b)1 c)2 d)3

**21) If a, b, c are in A.P., then the line ax+by+c=0 always passes through a fixed point whose co-ordinates are**

a)(1,2) b)(1,-2) c)(-1,2) d)(-1,-2)

**22) If the A.M of the roots of a quadratic equation is 85 and the A.M. of their reciprocals is 87. Then the equation is**

a)5x^{2}−8x+7=0 b)5x^{2}−16x+7=0 c)7x^{2}−16x+5=0 d)None of these

**23) Insert 4 A.M’s between 3 and 18:**

- a) 12,15,9,6 b)6,9,12,15 c)9,6,12,15 d)15,12,9,6

**24) If, for an A.P.,S _{p}=S_{q} where p≠q, then S_{p+q} is**

- a) p+q b)-(p+q) c) 0 d)none of these

**25) If a, b, c are in AP then**

a)a = b+c b)2b=a+c c)2a= a+b d) 2b = a+b

±σ