# CA Foundation (Paper 3) Business Maths and Statistics 4

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  nP5 :nP3  is 2:1 than value of n is

(a) 2  (b) -5 (c) -2 (d) 5

5) If  11Cx =11C2x-4   if   then the value of 7Cx =

(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,

1. a) 720 b)120 c)600 d)540

8)nP2 =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?

1. 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.

1. a) 36 b) 91              c) 81              d) 116

12) If 10c3 + 2. 10c4 +10c5 = nc5 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 9P5 + 5 . 9P4 = 10Pr . 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?

1. 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.

1. 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)102 b)1023 c)210 d)29

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)15p3 b) 3×15P3 c)15C3 d)15C3  / 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