Miscallenous Test -02

Group A ( 9*1=9)

[ Q. No. 1 ] Which of the following represents an empty set ?
i. set of even natural numbers
ii. set of odd natural numbers
iii. set of odd prime numbers
iv. set of even prime numbers

[ Q. No. 2] In scientific notation, 1,36,00,000 can be expressed as :
i. 1.36 × 10⁵
ii. 1.36 × 10⁶
iii. 1.36 × 10⁷
iv. 1.36 × 10⁸

[ Q. No. 3 ] There are 30 boys and 20 girls in a class. The ratio of the number of girls to the number of boys is :
i. 2 : 3
ii. 3 : 2
iii. 2 : 5
iv. 3 : 5

[ Q. No. 4 ] Which of the following statement is not true?
i. 4 : 7 = 5 : 9
ii. ₹ 5 : ₹ 25 = 12g : 60g
iii. 30 : 80 = 6 : 16
iv. 12 : 36 = 14 : 42.

[ Q. No. 5 ] An article purchased at Rs. 400 is sold at Rs. 500. The total profit percent beared in this transaction is:
i. 15%
ii. 20%
iii. 25%
iv. 30%

[ Q. No. 6 ] A book marked at certain amount is sold at one-fourth of its cost after one year. The discount percent in this transaction is :
i) 25%
ii) 40%
iii) 50%
iv) 75%

[ Q. No. 7 ] For what value of ‘a’, a²×a³= 32 ?
i. 2
ii. 4
iii. 6
iv. 8

[ Q. No. 8 ] The atomic weight of K (z=19) is :
i. 19 a.m.u.
ii. 38 a.m.u.
iii. 39 a.m.u.
iv. 40 a.m.u.

[ Q. No. 9 ] The SI unit of Charge is :
i. Ampere
ii. Candela
iii. Coloumb
iv. None of the above

Group B ( 4×9=36 )

[ Q. No. 9 ] Some people were asked whether they like strawberry ice cream or chocolate ice cream. 82% said they like strawberry ice cream and 70% said they like chocolate ice cream. Also 4% said they like neither. [ 4 × 1 = 4 ]
i) Show the information in Venn-diagram.
ii) Find the percentage of people who like both strawberry and chocolate ice cream.
iii) Find the percentage of people who like strawberry ice cream only.
iv) Find the percentage of people who like at least one.

[ Q. No. 10 ]
a) A sum of money is divided between A & B in the ratio 5 : 7. If B got Rs. 665, find the sum. [2]
b) If A : B = 3 : 5 and B : C = 10 : 7, find A : B : C. [2]

[ Q. No. 11 ]
a) Find the fourth proportional of 6, 8, 9. Also find the value of x such that 16 : 8 = x : 5. [1+1]
b) Find a number which when added to each term of the ratio 27 : 35 changes it to 4 : 5. [2]

[ Q. No. 12 ] Toshiba bought 100 hens for Rs. 8000 and sold 20 of these at a gain of 5%. At what gain percent she must sell the remaining hens so as to gain 20% on the whole? [ 4 ]

[ Q. No. 14 ] [ 4 ]

[ Q. No. 15 ] Show that : [ 4 marks ]

[ Q. No. 16 ]
a) State octet and duplet rule. Name the only element that obeys duplet rule. [1+1]
b) Give reasons : [ 1 + 1 ]
i. Atom is electrically neutral.
ii. The valency of chlorine is 1 though it has 7 electrons in its valence shell.

[ Q. No. 17 ]
a) Draw the atomic structure of : [ 2 ]
i. Sodium ii. Calcium
b) Write the molecular formula for the following radicals with their valency. [0.5 × 4 = 2]
i. Hydroxide ii. Bicarbonate

Group C ( 5 × 3 = 15 )

[ Q. No. 18 ] In a class of 40 students, 20 have chosen Mathematics, 15 have chosen mathematics but not biology. Also, every student has chosen either mathematics or biology or both.
a) Show the information in Venn-diagram. [1]
b) Find the number of students who chose both mathematics and biology. [2]
c) Find the number of students chose biology but not mathematics. [2]

[ Q. No. 19 ] A bicycle is sold at a gain of 16%. Had it been sold for Rs.100 more, the gain would have been 20%. Find the C.P of the tricycle. [ 5 marks ]

[ Q. No. 20 ]
a) Rs 7750 is divided among X, Y and Z such that 3 times of X’s share is equal to 5 times of Y’s share which is equal to 2 times of Z’s share. Find their individual shares. [ 3 ]
b) A bag contains 50 p, 25 p and 10 p coins in the ratio 5 : 9 : 4, amounting to Rs. 206. Find the number of coins of each type [ 2 ]

* Best Of Luck *