**NATIONAL MANAGEMENT COLLEGE, THUDUPATHI.**

**CA FOUNDATION**

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

**Revision test 4 (24.03.2022)**

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

**1) How many number divisible by 5 of 6 digit can be made from the digit 2, 3, 4, 5, 6, 7**

(a) 120 (b) 600 (c) 240 (d) none

**2) 5 boys and 3 girls are to be seated together such that no two girls are together**

(a) 14,400 (b) 2400 (c) 720 (d) None of these

**3) Out of 6 Boys & 4 girls, Find the number of ways for selecting 5 member committee in**

which there is exactly two girls ?

(a) 120 (b) 1440 (c) 720 (d) 71

**4) if ^{n}P_{5} :^{n}P_{3} is 2:1 than value of n is**

(a) 2 (b) -5 (c) -2 (d) 5

**5) If ^{11}C_{x} =^{11}C_{2x-4 }if then the value of ^{7}C_{x} =**

(a) 20 (b) 21 (c) 22 (d) 23

**6)The number of four letter words can be formed using the letter of the word “DICTIONARY” is**

a)5040 b)720 c)90 d)30240

**7)The number of the words that can be formed using the letter of “PETROL” such that the words do not have “P” in the first position is,**

- a) 720 b)120 c)600 d)540

**8) ^{n}P_{2} =12 then the value of n is**

a)2 b)5 c)4 d)3

**9)The number of different ways the letters of the word “DETAIL” can be arranged in such a way that the vowels can be occupy only the odd position is ,**

a)32 b)36 c)48 d)60

**10) A person has 4 coins if different denominations. What is the number of different sums of money the person can form?**

- A) 12 B) 15 C) 11 D) 16

**11) There are three dice each of them having faces with a number from 1 to 6. These dices are rolled. Find the number of possible outcomes such that at least one of the dice shows the number 2.**

- a) 36 b) 91 c) 81 d) 116

**12) If ^{10}c_{3} + 2. ^{10}c_{4} +^{10}c_{5} = ^{n}c_{5}_{ }then the value of n = ________**

(a) 10 (b) 11 (c) 12 (d) 13

**13) The numbers of parallelograms that can be formed by a set of 6 parallel lines intersected by the another set of 4 parallel lines is ____________:**

(a) 360 (b) 90 (c) 180 (d) 45

**14) A man has 5 friends’. In how many ways can be invite one or more of his friends to dinner?**

(a) 30 (b) 31 (c) 32 (d) 10

**15) From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?**

a)564 b)645 c)735 d)756

**16) Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?**

a)210 b)1050 c)25200 d)21400

**17) If ^{9}P_{5} + 5 . ^{9}P_{4} = ^{10}P_{r} . then r =**

a)2 b) 3 c)5 d)7

**18) A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?**

a)32 b)48 c)64 d)96

**19) An intelligence agency forms a code of two distinct digits selected from 0, 1, 2, …., 9 such that the first digit of the code is nonzero. The code, handwritten on a slip, can however potentially create confusion, when read upside down-for example, the code 91 may appear as 16. How many codes are there for which no such confusion can arise?**

- a) 80 b) 78 c) 71 d) 69

**20) If a refrigerator contains 12 cans such that 7 blue cans and 5 red cans. In how many ways can we remove 8 cans so that at least 1 blue can and 1 red can remains in the refrigerator.**

- a) 513 b) 455 c) 627 d) 369

**21) How many diagonals a decagon has?**

a)45 b)35 c)55 d)65

**22) Find the number of ways of selecting 3 books from 8 different mathematics books that a particular book is not included.**

a)33 b)39 c)38 d)35

**23) There are 10 lamps in a hall and each one of them can be switched on independently. Find the total number of ways in which the hall can be illuminated?**

a)10^{2} b)1023 c)2^{10} d)2^{9}

**24) A train is going from Mumbai to Pune and makes S stops on the way. 3 persons enter the train after it has started from Mumbai with 3 different tickets. How many different sets of tickets they may have had?**

a)^{15}p_{3} b) 3×^{15}P_{3} c)^{15}C_{3} d)^{15}C_{3}_{ } / 3

**25) 7 persons are to be arranged at a circular table .If two particular person among them are not to be side by side . then the total number of arrangement is**

a)480 ways b)440 ways c) 240 ways d ) 420 ways