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There are 150 gearwheels in a box, out of which 112 are within the required tolerance, 21 are below and rest are above the required tolerance. If the selection is done without replacement, the combined probability of randomly selecting a gearwheel below the tolerance and then a second one above the tolerance is
A
0.016
B
0.032
C
0.492
D
0.984
Correct Answer:
0.016
Directions: Seven different boxes A, B, C, D, E, F and G of different colours viz., Orange, Pink, Purple, Yellow, Blue, Red and Green are arranged one above the other. The box at the bottom of arrangement is numbered 1, the above box is numbered 2 and so on. B is immediately above E. More than two boxes are above the Orange box. The Yellow box is immediately below A. Only one box is between the Orange box and F. G is immediately above the Red box. Only one box is between B and the Pink box. Only two boxes are between the Pink and the Green box. Only two boxes are between the Yellow box and the Orange box. The Purple box is neither at the top nor at the bottom of the arrangement.B is above Pink box. C is immediately above F. Neither C nor G is a Yellow box. G is not a Orange box. Question: Which combination represents the position of C and its colour?
A
6-Green
B
6-Red
C
5-Purple
D
7-Blue
Two boxes containing candies are placed on a table. The boxes are labelled B1 and B2. Box B1 contains 7 cinnamon candies and 4 ginger candies. Box B2 contains 3 cinnamon candies and 10 pepper candies. The boxes are arranged so that the probability of selecting box B1 is 1⁄3 and the probability of selecting box B2 is 2⁄3. Suresh is blindfolded and asked to select a candy. He will win a colour TV if he selects a cinnamon candy. What is the probability that Suresh will win the TV (that is, she will select a cinnamon candy)?
A
7⁄33
B
6⁄33
C
13⁄33
D
20⁄33
A box has 5 black and 3 green shirts. One shirt is picked randomly and put in another box. The second box has 3 black and 5 green shirts. Now a shirt is picked from second box. What is the probability of it being a black shirt?
A
$$\frac{{4}}{{9}}$$
B
$$\frac{{29}}{{72}}$$
C
$$\frac{{8}}{{72}}$$
D
$$\frac{{3}}{{16}}$$
A box has 8 red balls and 8 green balls. Two balls are drawn randomly in succession from the box without replacement. The probability that the first ball drawn is red and the second ball drawn is green is
A
$$\frac{4}{{15}}$$
B
$$\frac{7}{{16}}$$
C
$$\frac{1}{2}$$
D
$$\frac{8}{{15}}$$
A box contains 4 red balls and 6 black balls. Three balls are selected randomly from the box one after another, without replacement. The probability that the selected set contains one red ball and two black balls is
A
$$\frac{1}{{20}}$$
B
$$\frac{1}{{12}}$$
C
$$\frac{3}{{10}}$$
D
$$\frac{1}{2}$$
There are five boxes in cargo hold. The weight of the first box is 200 kg and the weight of the second box is 20% higher than the weight of the third box, whose weight is 25% higher than the first box's weight. The fourth box at 350 kg is 30% lighter than the fifth box. Find the difference in the average weight of the four heaviest boxes and the four lightest boxes.
A
51.5 kg
B
75 kg
C
37.5 kg
D
112.5 kg
E
None of these
There are five boxes in a cargo hold. The weight of the first box is 200 kg and the weight of the second box is 20% more than the weight of third box, whose weight is 25% more than the first box’s weight. The fourth box at 350 kg is 30% lighter than the fifth box. The difference in the average weight of the four heaviest boxes and the four lightest boxes is-
A
37.5 kg
B
51.5 kg
C
75 kg
D
112.5 kg
In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?
A
18
B
36
C
45
D
None of these
A box contains 5 black and 5 red balls. Two balls are randomly picked one after another from the box, without replacement. The probability for both balls being red is
A
$$\frac{1}{{90}}$$
B
$$\frac{1}{2}$$
C
$$\frac{{19}}{{90}}$$
D
$$\frac{2}{9}$$
A box contains 5 white balls and 3 red balls. Two balls are withdrawn from the box randomly, one after another (without replacement). The probability that the two balls withdrawn are of different colour is
A
$$\frac{{15}}{{64}}$$
B
$$\frac{{25}}{{64}}$$
C
$$\frac{{25}}{{56}}$$
D
$$\frac{{30}}{{56}}$$