NATIONAL MANAGEMENT COLLEGE, THUDUPATHI.
PAPER – 3: BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTICS
Time Allowed : ½ hour Maximum Marks: 25
1)If log10 3 = , log10 4 = , then the value of log10 120 =
- a) b) ) c) ) d) ) 2
2) for some and , then the value of is
- a) 8 b) 6 c) 4 d) 2
3) . if the ratio of two numbers is 7 : 11. If 7 is added to each number then the new ratio will be 2 : 3 then the numbers are.
(a) 49, 77 (b) 42, 45 (c) 43,42 (d) 39, 40
4) log 2√2 (512):log3√2 (324 ) then,
(a) 128 : 81 (b) 2 : 3 (c) 3 : 2 (d) None
5) Then the value of
log5 + log5 + log5 + …………..log5
- a) 2 b)3 c)5 d) none of these
6) The two numbers are in ratio 3 : 4. The difference between their squares is 28. Find the greater number
. (a) 12 (b) 8 (c) 16 (d) 10
7) In a class there are 30 boys and 12 girls. Determine the ratio of number of boys to girls.
- a) 2 : 5 b) 3 : 6 c) 5 : 6 d) 5 : 2
8) A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B’s share?
a)Rs. 500 b) Rs. 1500 c)Rs. 2000 d)None of these
9) Find sum of all values of “a” ,
= log 7 2401
- a) -2 b) -12 c)-18 d) -6
10) then all x, y, z are greater than 0 , then
- a)b)
- c) d)
11) . The ratio of the present age of father to that of son is 7:2. After 10 years their ages will be in the ratio of 9:4. The present ages of the father is
- 35 years b. 40 years c. 30 years d. 25 years
12) Price of each article of type P, Q, and R is Rs. 300, Rs. 180 and Rs. 120 respectively. Suresh buys articles of each type in the ratio 3:2:3 in Rs. 6480. How many articles of type Q did he purchase?
- 8 b. 14 c. 20 d. None
13) .If the ratio of present ages of Jeet and Jay is 5:7 and after 6 years the ratio will be 3:4, what is the present age of Jay?
- 42 b. 30 c. 36 d. None of these
14) The triplicate ratio of 1:2 is?
- 8:1 b. 1:8 c. 2:1 d. 1:2
15) . The compound ratio of 5:6, 3:2 and 4:5?
- 12:13 b. 1:4 c. 1:5 d. 1:1
16) value
- a) 1/6 b) 1/2 c) 1/3 d) 1/8
17) . log 144 =
- a) 2 log 4 + 2 log 2 b) 4 log 2 + 2 log 3
- c) 3 log 2 + 4 log 3 d) 3 log 2 – 4 log 3
18) For p, q, r ,s > 0 for value of each ratio is
a)1/2 b) 1/3
- The mean proportional between 24 and 54 is
- a) 33 b) 34 c) 35 d) 36
20) . Which of the numbers are not in proportion ?
- a) 6 , 8 , 5 , 7 b) 7 , 3 , 14 , 6
- c) 18 , 27 , 12 , 18 d) 8 , 6 , 12 , 9
21)
log0.01 (10,000) = x; Find the value of x? | ||
(a) 1
(c) – 4 |
(b)
(d) |
– 2
2 |
22) What number is to added each of the ratio 7:9 to equal 15:16 ?
(a) 23 (b) 16 (c) 31 (d) 13
23) . If = = then z is equal to
- a) xy b) c) d)
24) . If 2x -2x-1 =4 then Xx =
- a) 7 b) 3 c) 27 d) 9
25) . Find the value of x, if x (x)1/2 = (x1/2)x
a). 3 b) 4 c) 2 d) 6