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Math MCQ Question and answer - Logarithm
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1. A lorry travels from town A to town B at 54 km/h. A car travels from town B to town A at 80 Km/h. If both vehicles start their journeys at the same time and meet each other at the way after traveling for 1 hour 30 minutes. Find the distance between town A and town B.
200
210
350
201
2. A man traveling an hour by car and another hour by plane covers a total distance of 850 Kms. If the average speed of plane taken by the man was 16 times that of the car. What was the distance covered by the car.
40
50
60
65
3. A man walked 15 kms from A to B at a uniform speed. If he were to increase his speed by 4 km/h he would have saved 60 min on the journey. Find his speed in km/h.
6
8
9
5
4. A man started on a walk of 12 km after walking half the distance at x km/h he decreased his speed by 1/2 km/h. He completed his walk in 10 minutes later than he would have done if he had not decreased his speed. Find the value of x.
5
4.5
5.5
6
5. In the above question determine the time he took for 12 Km walk (in hours).
3
4
2.83
5
6. By walking 3/5 of the usual speed a man reaches offices 20 minute late. What is usual time?
50min
1 hr
30 min
45 min
7. A train travels a certain distance at 40 km per hour on an average with stoppages and without stoppages its speed is 50 km per hour. How much time on an average per hour it stops.
14 min
18 min
12 min
16 min
8. A man rode out a certain distance by train at the rate of 25 km per hour and walked back at the rate of 4 km per hour. The whole journey took 5 hours 40 minutes. What distance did he ride?
25 km
20 km
35 km
18 km
9. Two men start together to walk a certain distance one at 4 km an hour and the other at 4/3 km an hour. The former arrives half an hour before the latter. Find the distance.
15km
10km
18km
22km
10. Two motor cars start from one point and move along two roads at right angles. If their speeds be respectively 36 km and 48 km an hour find the distance between them 15 seconds after the start.
250m
230m
170m
320m
11. A column of men extending 250 m in length takes one hour to march through a street at the rate of 50 paces per minutes each pace being 75 cm. Find the length of the street.
4km
4.5km
2km
1.5km
12. A thief steals a motorcar at 1 pm and drives it at 45 km an hour. The theft is discovered at 2 P:M and owner sets off in another car at 54 km an hour when will he overtake the thief?
7:00P.P
6:00P.P
9:00P.P
6:30P.P
13. A hare sees a dog 100 meters away from her and scuds off in the opposite direction at a speed of 12 km an hour. A minutes later the dog perceives her and gives chase at a speed of 16 km per hour. At what distance from the spot where the hare took fight started from?
900m
1000m
1650m
1100m
14. If log10 36 = y what does log10 36000 equal?
y
y+1000
1000
y+3
15. If log10 2 = x and log10 3 = y find the value of log10 80?
y+1
x+y
x-y
none
16. Solve for a : log (a+3) = loga+log3
1
3?2
2?3
6?5
17. Evaluate log16 ?56 - log16 ?14
0
1?4
1
3
18. Evaluate log9 3 - log5 125 + log625 5 - log7 (343)1/3
0
1?3
3?28
?13?4
19. If Log10 G= 1/5 then log10 100G5=?
7
1?4
4
3
20. If Logy 6=x logy 3.5 = z and 6a = 3.5 then a = __________
xz
z/x
x+z
z-x
21. If g(x) = log2 y then g(3y) - g(y) = ___________
log(2/x)+log2x
log2 (2+x2)/x
1
log23
22. If log5 p = ?8 and log 8 q = ?5 then pq = _________
5?8.8?5
13?13
3?3
7?2
23. If log64 7 = x log4 7 then x = __________
4
log43
3
log464
24. If log2 = 0.3010 log 3 = 0.4771 evaluate |log 3?25/100|
0.4516
0.1234
0.5678
?1.534
25. Evaluate 49log75
25
5
6
5?6
26. Evaluate log2 (log4 256)
2
4
3
8
27. Evaluate 3logb a4 x loga b5
35
49
60
30
28. If log100 u = -2 then u =
1000000
1/1000000
0.001
1/10000
29. If log81/log3 = x then x is equal to
2
3
4
7
30. If loge x + loge(1-x) = 0 then
x2+x-1 = 0
x2-x+1 = 0
x2+x-e = 0
x2+x+e = 0
31. Log2 9 is
an integer
a prime number
a rational number
an irrational number
32. In a class at GOVT COLLEGE 24 students out of 50 are present on a certain day. What fraction of the class is not present on that day?
24/50
12?25
13/25
2?25
33. Find the value of the product 5/5x5/10x5/15x5/20x5/25
1 /144
5/144
1/120
1?30
34. Ahmad bought some fish from a farm. During the first week 1/8 of them died while in next two weeks 3/5 of the remaining died. What fraction of the original fish died in last two weeks?
3?10
17?40
1?2
21?40
35. The average of 1/5 and other two numbers out of which one is the half of the other is 1/4. The smallest fraction out of unknowns is:
1?6
11?60
11?30
1?2
36. 4/3 of a number is 22 what is 8/3 of that number:
11?9
11?6
2
3
37. 98 mintues is what fractional part of two days:
49/1440
49/720
2
98/48
38. If x = 7/9 then which one of the following is not greater than x
(x-2)/(x-1)
(x+1)/(x-1)
1/x
(x+1)/x
39. Which statement is true?
3/8 < 4/11 < 5/13
4/11 < 3/8 < 5/13
5/13 < 4/11 < 3/8
4/11 < 5/13 < 3/8
40. If a = 0.78 then which one of the following is lowest :
a2
a
?a
1/a
41. Let x y and z be the result of rounding off 8491.278 to nearest ten hundred & thousand. Find the valid inequality out of given below:
x
z
x
z
42. If (43.65)(8.79)/x = (0.4365)(87.9) then value of x is :
0.01
0.1
1
10
43. For the final step in a calculation Ahmad accidentally divided by 100 instead of multiplying with 1000. To find the correct answer he should
divide by 1000
divide by 100
multiply by 100000
multiply by 100
44. Then companies sponsor a tournament and decided to give M rupees collectively. Two companies dropped and remaining agreed on paying their share equally. What was the increase in share of each company?
M-20/2
M/50
M/40
M/2
45. Seven trucks are filled equally from a gasoline tank and 1/3 of gasoline is still in the rank. The capacity of each truck is what part of tank:
1?10
2?15
3?20
2?21
46. A base ball team won W games and lost L games. The fraction representing their lost games is:
L/W
(W-L)/W
W/L
L/(W+L)
47. In a class with the same number of boys and girls 5/6 of the girls and 1/8 of the boys are honor students. What part of the calss consists of girls who are not honor students?
1?12
1?6
7?48
13?48
48. In a town there are 1600 phones out of which 3/4 are dial phones. 1/3 of those dial phones are replaced by touch-tone phones and 300 additional touch tone phones are installed. The fraction representing the touch tone phones in town is:
7?19
7?16
7?23
9?16
49. Susan is 3 times as old as Paul and Paul is 3/2 times as old as Mary. What fraction of Susans age is Mary?
3?8
2?9
3 3?4
6
50. If 1 quart has 2 pints and 4 quarts equals to one gallon then 6 pints are what part of a gallon:
1?6
2?3
5?6
3?4
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