State true or false and give the reason for Q. 1to Q. 4.
In a family, having three children, there may be no girl, one girl, two girls or three girls. So, the probability of each is 1/4.
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Calculate the number of atoms in a cubic unit cell having one atom on each corner and two atoms on each body diagonal.
8 corner × 1/8 atom per unit cell = 1 atom There are four body diagonals in a cubic unit cell and each has two body centre atoms. So, 4 × 2...
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If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of the children is reduced by 4?
∵Each child gets = 5sweets Therefore, 24 children will get 24 x 5 = 120 sweets Total number of sweets =120 If the number of children is reduced by 4, then children...
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An object may have (a) varying speed without having varying velocity (b) varying velocity without having varying speed
(b) varying velocity without having varying speed (d) nonzero acceleration without having varying speed. Explanation: Velocity and acceleration are vector quantities that can be changed by changing direction only (keeping magnitude constant).
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In a class there are 10 boys and 8 girls. The teacher wants to select a boy and a girl to represent the class in a function.
The teacher has to perform two jobs : (i) To select a boy among 10 boys, which can be done in 10 ways. (ii) To select a girl, among 8 girls, which...
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In how many ways can 5 boys and 5 girls be seated at a round table no two girls may be together ?
Leaving one seat vacant between two boys may be seated in 4! ways. Then at remaining 5 seats, 5 girls any sit in 5! ways. Hence the required number =...
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4 boys and 2 girls are to be seated in a row in such a way that the two girls are always together. In how many different ways can they be seated?
(d) Assume the 2 given students to be together (i.e one]. Now there are five students. Possible ways of arranging them are = 5! = 120 Now, they (two girls) can arrange themselves...
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There are 1224 students in a school in which 600 are girls. What is the ratio of boys to girls in the school?
(a) Total number of students = 1224 Total number of girls = 600 Total number of boys = 1224 - 600 = 624 Required ratio = 624 :600 = 26 : 25
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Why do children always slide down the slide and not slide up? If this slide where there in Sunita’s space, would children slide like this? Why?
Children always slide down the slide because of the earth’s gravitational force. However, if this slide were there in Sunita’s spacecraft, children would not slide like this because there is...
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Assertion (A ) : According to statistics, more female children are born each year than male children in India.
(c) Assertion is correct, but the reason is wrong. In India, the sex ratio of female is lower than male, because female foeticide is common across India
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Three dice (each having six faces with each face having one number from 1 to 6) are rolled.
(c) There can be 3 cases : I. When one dice shows 2. II. When two dice shows 2. III. When three dices shows 2. Case I : The dice which shows 2 can...
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