SSC (English Medium)
SSC (Marathi Semi-English)
Academic Year: 2022-2023
Date & Time: 13th March 2023, 11:00 am
Duration: 2h
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- All questions are compulsory.
- Use of a calculator is not allowed.
- The numbers to the right of the questions indicate full marks.
- In case of MCQs [Q. No. 1(A)] only the first attempt will be evaluated and will be given credit.
- For every MCQ, four alternatives (A), (B), (C), (D) of answers are given. Alternative of correct answer is to be written in front of the subquestion number.
Choose correct alternative for the following question.
To draw graph of 4x + 5y = 19, Find y when x = 1.
4
3
2
-3
Chapter: [0.01] Linear equations in two variables
Choose the correct answer for the following question.
Out of the following equations which one is not a quadratic equation?
`x^2 + 4x = 11 + x^2`
`x^2 = 4x`
`5x^2 = 90`
`2x - x^2 = x^2 + 5`
Chapter: [0.02] Quadratic Equations
Choose the correct alternative answer for the following question.
For an given A.P. a = 3.5, d = 0, n = 101, then tn = ....
0
3.5
103.5
104.5
Chapter: [0.03] Arithmetic Progression
Choose the correct alternative answer for the following question.
If n(A) = 2, P(A) = `1/5`, then n(S) = ?
10
`5/2`
`2/5`
`1/3`
Chapter: [0.05] Probability
Find the value of the following determinant.
Chapter: [0.01] Linear equations in two variables
Which of the following sequences are A.P.? If they are A.P. find the common difference.
2, 4, 6, 8, ...
Chapter: [0.03] Arithmetic Progression
On certain article if rate of CGST is 9%, then what is the rate of SGST?
Chapter: [0.04] Financial Planning
If one coin is tossed, write the sample space ‘S’.
Chapter: [0.05] Probability
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Complete the following activity, and find the value of x:
5x + 3y = 9 ................ (I)
2x – 3y = 12 ............... (II)
Add equations (I) and (II)
5x + 3y = 9
+ 2x – 3y = 12
7x = `square`
x = `square/square`
x = `square`
Chapter:
Complete the following activity, and find the value of x:
5x + 3y = 9 ................ (I)
2x – 3y = 12 ............... (II)
Add equations (I) and (II)
5x + 3y = 9
+ 2x – 3y = 12
7x = `square`
x = `square/square`
x = `square`
Chapter:
Complete the following table using given information :
| Sr. No | FV | Share is at | MV |
| 1. | ₹ 100 | Par | `square` |
| 2. | `square` | Premium ₹ 500 | ₹ 575 |
| 3. | ₹ 10 | `square` | ₹ 5 |
| 4. | ₹ 200 | Discount ₹ 50 | `square` |
Chapter: [0.04] Financial Planning
Solve the following simultaneous equations:
x + y = 4; 2x – y = 2
Chapter:
Write the following equation in the form ax2 + bx + c = 0, then write the values of a, b, c for the equation.
2y = 10 – y2
Chapter: [0.02] Quadratic Equations
Write an A.P. whose first term is a and the common difference is d in the following.
a = 10, d = 5
Chapter: [0.03] Arithmetic Progression
Courier service agent charged a total ₹ 590 to courier a parcel from Nashik to Nagpur. In the tax invoice taxable value is ₹ 500 on which CGST is ₹ 45 and SGST is ₹ 45. Find the rate of GST charged for this service.
Chapter: [0.04] Financial Planning
Observe the following table and find the Mean:
Assumed mean A = 300
| Class | Class mark | di = xi – A | Frequency | Frequency × Deviation |
| xi | di = xi – 300 | fi | fi di | |
| 200 – 240 | 220 | – 80 | 5 | – 400 |
| 240 – 280 | 260 | – 40 | 10 | – 400 |
| 280 – 320 | 300 `rightarrow` A | 0 | 15 | 0 |
| 320 – 360 | 340 | 40 | 12 | 480 |
| 360 – 400 | 380 | 80 | 8 | 640 |
| Total | `sumf_i` = 50 | `sumf_i d_i` = 320 |
Chapter: [0.06] Statistics
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Form a ‘Road Safety Committee’ of two, from 2 boys (B1, B2) and 2 girls (G1, G2).
Complete the following activity to write the sample space :
- Committee of 2 boys = `{square}`
- Committee of 2 girls = `{square}`
- Committee of one boy and one girl = `{B_1G_1, B_1G_2, square, square}`
- ∴ Sample space (S) = `{(B_1 B_2),(B_1 G_1), square, square, (B_2 G_2),(G_1 G_2)}`
Chapter: [0.05] Probability
Fill in the boxes with the help of the given information:
| Tax invoice of services provided (Sample) | ||||||||
| Food Junction, Khed - Shivapur, Pune | Invoice no. 58 | |||||||
| Mob no. 7588580000, email - [email protected] | ||||||||
| GSTIN: 27AAAAA5555B1ZA | Invoice Date: 25 Feb., 2020 | |||||||
| SAC | Food items |
Qty | Rate (in ₹) |
Taxable amount |
CGST | SGST | ||
| 9963 | Coffee | 1 | 20 | 20.00 | 2.5% | ₹ 0.50 | 2.5% | `square` |
| 9963 | Masala Tea | 1 | 10 | 10.00 | `square` | ₹ 0.25 | 2.5% | `square` |
| 9963 | Masala Dosa | 2 | 60 | `square` | 2.5% | `square` | 2.5% | ₹ 3.00 |
| Total | 150.00 | `square` | ₹ 3.75 | |||||
| Grand Total | = ₹ 157.50 | |||||||
Chapter: [0.04] Financial Planning
Solve the following simultaneous equations using Cramer's rule:
4m + 6n = 54; 3m + 2n = 28
Chapter:
Solve the following quadratic equation by the formula method:
x2 + 10x + 2 = 0
Chapter: [0.02] Quadratic Equations
A two digit number is formed with digits 2, 3, 5, 7, 9 without repetition. What is the probability of the following events?
Event A : The number formed is an odd number.
Event B : The number formed is a multiple of 5.
Chapter: [0.05] Probability
The frequency distribution table shows the number of mango trees in a grove and their yield of mangoes. Find the median of data.
| No. of Mangoes | 50 - 100 | 100 - 150 | 150 - 200 | 200 - 250 | 250 - 300 |
| No. of trees | 33 | 30 | 90 | 80 | 17 |
Chapter: [0.06] Statistics
If the first term of an A.P. is p, second term is q and last term is r, then show that sum of all terms is `(q + r - 2p) xx ((p + r))/(2(q - p))`.
Chapter: [0.03] Arithmetic Progression
Show the following data by a frequency polygon:
| Electricity bill (₹) | Families |
| 200 – 400 | 240 |
| 400 – 600 | 300 |
| 600 – 800 | 450 |
| 800 – 1000 | 350 |
| 1000 – 1200 | 160 |
Chapter: [0.06] Statistics
The sum of the squares of five consecutive natural numbers is 1455. Find the numbers.
Chapter: [0.03] Arithmetic Progression
Draw the graph of the equation x + 2y = 4. Find the area of the triangle formed by the line intersecting to X-axis and Y-axis.
Chapter:
A survey was conducted for 180 people in a city. 70 ate Pizza, 60 ate burgers and 50 ate chips. Draw a pie diagram for the given information.
Chapter: [0.06] Statistics
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