Date & Time: 8th March 2016, 11:00 am
Duration: 2h
Write the first two terms of the sequence whose nth term is tn = 3n ‒ 4.
Chapter: [0.03] Arithmetic Progression
Find the value of a, b, c in the following quadratic equation : 2x2 ‒ x ‒ 3 = 0
Chapter: [0.02] Quadratic Equations
Write the quadratic equation whose roots are ‒2 and ‒3.
Chapter: [0.02] Quadratic Equations
Find the value of determinant: `|[4,-2],[3,1]|`
Chapter: [0.01] Linear equations in two variables
Write the sample space for selecting a day randomly of the week.
Chapter: [0.05] Probability
Find the class mark of the classes 20-30 and 30-40.
Chapter: [0.05] Probability
Write the first three terms of the A.P. whose common difference is ‒3 and first term is 4.
Chapter: [0.03] Arithmetic Progression
Solve the following quadratic equation by Factorisation method: x2 + 7x + 10 = 0
Chapter: [0.02] Quadratic Equations
If the value of determinant `|[m,2],[-5,7]|`is 31, find the value of m
Chapter: [0.01] Linear equations in two variables
A die is thrown, then find the probability of the following events:
A is an Event: getting an odd number on the top upper surface of the die.
B is an Event: getting a perfect square on the upper surface of the die.
Chapter: [0.05] Probability
Below is the given frequency distribution of words in an essay
| Number of Words | Number of Candidates |
| 600 – 800 | 8 |
| 800 – 1000 | 22 |
| 1000 – 1200 | 40 |
| 1200 – 1400 | 18 |
| 1400 - 1600 | 12 |
Find the mean number of words written.
Chapter: [0.06] Statistics
Subjectwise marks obtained by a student in an examination are given below
| Subject | Marks |
| Marathi | 85 |
| Hindi | 85 |
| Science | 90 |
| Mathematics | 100 |
| Total | 360 |
Draw pie diagram
Chapter: [0.06] Statistics
Solve the following quadratic equation by using formula method: 5m2 + 5m – 1 = 0
Chapter: [0.02] Quadratic Equations
There are three boys and two girls. A committee of two is to be formed. Find the probability of the following events:
Event A: The committee contains at least one girl
Event B: The committee contains one boy and one girl
Chapter: [0.05] Probability
The measurements (in mm) of the diameters of the head of the screws are given below:
| Diameter (in mm) | No. of Screws |
| 33 — 35 | 10 |
| 36 — 38 | 19 |
| 39 — 41 | 23 |
| 42 — 44 | 21 |
| 45 — 47 | 27 |
Calculate mean diameter of head of a screw by ‘Assumed Mean Method’.
Chapter: [0.06] Statistics
The marks scored by students in Mathematics in a certain Examination are given below:
| Marks Scored | Number of Students |
| 0 — 20 | 3 |
| 20 — 40 | 8 |
| 40 — 60 | 19 |
| 60 — 80 | 18 |
| 80 — 100 | 6 |
Draw histogram for the above data.
Chapter: [0.06] Statistics
Draw the frequency polygon for the following frequency distribution
| Rainfall (in cm) | No. of Years |
| 20 — 25 | 2 |
| 25 — 30 | 5 |
| 30 — 35 | 8 |
| 35 — 40 | 12 |
| 40 — 45 | 10 |
| 45 — 50 | 7 |
Chapter: [0.06] Statistics
The 11th term and the 21st term of an A.P. are 16 and 29 respectively, then find:
(a) The first term and common difference
(b) The 34th term
(c) ‘n’ such that tn = 55
Chapter: [0.03] Arithmetic Progression
Solve the following simultaneous equations: `7/(2X+1)+13/(Y+2)=27,13/(2X+1)+7/(Y+2)=33`
Chapter: [0.01] Linear equations in two variables
In a certain race, there are three boys A, B, C. The winning probability of A is twice than B and the winning probability of B is twice than C. If P(A) + P(B) + P(C) = 1, then find the probability of win for each boy.
Chapter: [0.05] Probability
The divisor and quotient of the number 6123 are same and the remainder is half the divisor. Find the divisor.
Chapter: [0.02] Quadratic Equations
Find the sum of all numbers from 50 to 350 which are divisible by 6. Hence find the 15th term of that A.P.
Chapter: [0.03] Arithmetic Progression
A three digit number is equal to 17 times the sum of its digits. If 198 is added to the number, the digits are interchanged. The addition of first and third digit is 1 less than middle digit. Find the number.
Chapter: [0.01] Linear equations in two variables
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