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Statements followed by some conclusions are given below. Statements:<br />1. A bag has 2 white, 3 black, 4 red and 6 green balls.<br />2. 2 balls are selected at random from the bag. Conclusions:<br />1. The probability that a black ball is selected is 1/5.<br />2. The probability that a red ball is selected is 6/15. Find which of the conclusions logically follows from the given statements.
A
Only conclusion 1 follows
B
Only conclusion 2 follows
C
Both 1 and 2 follow
D
Neither 1 nor 2 follows
Correct Answer:
Only conclusion 1 follows
In a bag the ratio of red balls to green balls is 4 : 9. If 6 more green balls were added to the bag, the ratio of red balls to green balls would become 1 : 3. How many red balls are there in the bag?
A
9
B
10
C
8
D
12
In a bag, the ratio of red balls to green balls is 4:9. If 7 more red balls are added to the bag, the ratio of red balls to green balls will become 5:6. How many green balls are there in the bag?
A
12
B
27
C
18
D
9
A bag contains 4 red and 3 black balls. A second bag contains 2 red and 4 black balls. One bag is selected at random. From the selected bag, one ball is drawn. Find the probability that the ball drawn is red.
A
23\/42
B
19\/42
C
7\/32
D
16\/39
In a bag which contains 40 balls, there are 18 red balls and some green and blue balls. If two balls are picked up from the bag without replacement, then the probability of the first ball being red and second being green is 3/26. Find the number of blue balls in the bag.
A
16
B
12
C
10
D
14
Statements followed by some conclusions are given below. Statements :
1. Tea is green, Coffee is brown and Milk is white.
2. More than half of the town likes tea.
3. People who like white don't like green and some people who like brown don't like white. Conclusions :
1. Green is more popular in the town.
2. There is at least one coffee drinker who does not like tea. Find which of the given conclusions logically follows from the given statements.
A
Only conclusion 1 follows
B
Only conclusion 2 follows
C
Both 1 and 2 follow
D
Neither 1 nor 2 follows
In each of the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they
seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.
Statements:
I. All stars are white.
II. All white are moon.
III. No moon is blue.
Conclusions:
I. Some moon are stars.
II. No blue is stars.
III. Some white are stars.
IV. Some blue are white.
A
Only conclusion (I), (II) and (III) follow.
B
Only conclusion (III) and (IV) follow.
C
Only conclusion (I), (II) and (IV) follow.
D
Only conclusion (II), (III) and (IV) follow.
In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if theyseem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statements:
(I) Some white is black.
(II) No black is green. Conclusion:
(I) Some white is green.
(II) Some white is not green.
A
Conclusion I follows
B
Conclusion II follows
C
Either 1 or 2 follows
D
Both I and II follows
A bag contains 5 red and 3 green balls. Another bag contains 4 red and 6 green balls. If one ball is drawn from each bag.
Find the probability that one ball is red and one is green.
A
$$\frac{{19}}{{20}}$$
B
$$\frac{{17}}{{20}}$$
C
$$\frac{{8}}{{10}}$$
D
$$\frac{{21}}{{40}}$$
একটি থলেতে 4 টি সাদা এবং 2 টি কালো বল আছে। অপর একটি থলেতে 3 টি সাদা ও 5 টি কালো বল আছে। যদি প্রত্যেক থলে হতে একটি করে বল উত্তোলন করা হয়, তবে বলদ্বয় সাদা হওয়ার সম্ভাবনা কত? (A bag contains 4 white and 2 black balls. Another bag contains 3 white and 5 black balls. If one ball is drawn from each bag, what is the probability that both balls are white?)
A
4/6
B
3/8
C
1/4
D
3/4
Bag 1 contains 4 white and 6 black balls while another Bag 2 contains 4 white and 3 black balls. One ball is drawn at random from one of the bags and it is found to be black. Find the probability that it was drawn from Bag 1.
A
12/13
B
5/12
C
7/11
D
7/12