SSC (English Medium)
SSC (Marathi Semi-English)
Academic Year: 2024-2025
Date: March 2025
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General Instructions :
- 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, the correct alternative (A), (B), (C) or (D) with subquestion number is to be written as an answer.
Let A be an event. For event A, which probability cannot be possible?
`2/3`
1
`3/2`
0
Chapter: [0.05] Probability
If α and β are the roots of the equation is 3x2 + x – 10 = 0, then the value of `1/α + 1/β` is ______.
10
`- 1/10`
`1/10`
`1/3`
Chapter: [0.02] Quadratic Equations
In a lucky draw, there are 5 gifts and 25 blanks. The probability of getting a gift is ______.
`5/6`
`1/6`
1
0
Chapter: [0.05] Probability
The value of the discriminant of the equation x2 + 6x – 15 = 0 is ______.
– 96
96
24
– 24
Chapter: [0.02] Quadratic Equations
From one footwear shop, 12 pairs of chappals were sold. The sizes of these chappals are given below.
7, 8, 6, 7, 7, 5, 9, 7, 6, 7, 8, 7
Find their mode.
Chapter: [0.06] Statistics
Find the range of given data: 46, 35, 78, 90, 20, 56, 45, 76.
Chapter: [0.06] Statistics
If x = `sqrt(7) - 2`, find the value of `(x + 1/x)`.
Chapter: [0.02] Quadratic Equations
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In the pie-diagram, the data of 720 students who opted for their favourite literature type is shown. The data is expressed in the percentages. Using this diagram complete the following table.
| Type of Literature | Angular measure | Number of students |
| Comics | 72° | 144 |
| Mystery | 90° | ______ |
| Fiction | ______ | 216 |
| Drama | ______ | ______ |
| Science Fiction | 72° | 144 |
Chapter: [0.06] Statistics
A share is sold for the market value of ₹ 2000. A brokerage is paid at the rate of 0.5%. To find the amount received after the sale, fill in the boxes.
Market value = `square`
Brokerage rate = 0.5%
Amount received after the sale = `square` – `square` × `square/100`
= `square` – 10
= `square`
Hence, the amount received after the sale is `square`.
Chapter: [0.04] Financial Planning
The following table shows the percentage of demand of different plants.
| Plants | Rose | Lily | Tulip | Daisy | Dahlia |
| No. of Plants | 31 | 25 | 12 | 17 | 15 |
Complete the following table:
| Plants | No. of plants | Measure of central angle |
| Rose | 31 | `31/100 xx 360^circ = square` |
| Lily | 25 | `square` |
| Tulip | 12 | `square` |
| Daisy | 17 | `square` |
| Dahlia | 15 | `square` |
Chapter: [0.06] Statistics
If the area of a square is 400 m2, then find the side of the square by the method of factorization.
Chapter: [0.02] Quadratic Equations
The percentages of marks obtained by a student in six unit tests are given below:
| Unit test | 1 | 2 | 3 | 4 | 5 | 6 |
| Percentage of marks obtained |
53 | 72 | 95 | 46 | 67 | 59 |
A unit test is selected at random. What is the probability that the student gets more than 60% marks in the test?
Chapter: [0.05] Probability
If `|(1, y),(4, x)|` = 12 and `|(-1, 2),(y, x)|` = 6, from the given determinants, form the two simultaneous equations in x and y and solve them.
Chapter:
Solve the quadratic equation: 16x2 + 24x + 9 = 0.
Chapter: [0.02] Quadratic Equations
A wholeseller buys pens having taxable value ₹ 12,000 and sold it to the retailer for the taxable value ₹ 14,000. Rate of GST is 20%. Find the CGST and SGST payable by wholeseller.
Chapter: [0.04] Financial Planning
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First term and common difference of an A.P. are 1 and 2 respectively; find S10.
Given: a = 1, d = 2
find S10 = ?
Sn = `n/2 [2a + (n - 1) square]`
S10 = `10/2 [2 xx 1 + (10 - 1)square]`
= `10/2[2 + 9 xx square]`
= `10/2 [2 + square]`
= `10/2 xx square = square`
Chapter: [0.03] Arithmetic Progression
The ratio of two numbers is 2:3. If 5 is added in each numbers, then the ratio becomes 5:7 find the numbers.
The ratio of two numbers is 2:3.
So, let the first number be 2x and the second number be `square`.
From the given condition,
`((2x) + square)/(square + square) = square/square`
`square (2x + square) = square (square + square)`
`square + square = square + square`
`square - square = square - square`
`- square = - square`
x = `square`
So, The first number = `2 xx square = square`
and, Second number = `3 xx square = square`
Hence, the two numbers are `square` and `square`
Chapter:
Calculate the sum of 35 terms in an AP, whose fourth term is 16 and ninth term is 31.
Chapter: [0.03] Arithmetic Progression
A businessmen supplied CCTV camera sets for police control room, worth of ₹ 1,77,000. The rate of GST is 18%. Then find the amount of SGST and CGST. Also find the taxable price of CCTV sets.
Chapter: [0.04] Financial Planning
A trading company paid 18% GST on its product worth ₹ 15,000 and sold it to a customer for ₹ 21,000. What are the amounts of CGST and SGST shown in the tax invoice issued?
Chapter: [0.04] Financial Planning
Thrice the perimeter of a rectangular garden, whose length is 4 m more than its width, is 54 m. Find the dimensions of the garden by the graphical method.
Chapter:
Calculate the mean of the following data using step-deviation method:
| Class Interval | 40 – 42 | 43 – 45 | 46 – 48 | 49 – 51 | 52 –54 |
| Frequency | 7 | 10 | 15 | 9 | 8 |
Chapter: [0.06] Statistics
Find the sum of all even numbers from 1 to 250.
Chapter: [0.03] Arithmetic Progression
The difference between two numbers is 2 and their product is 1443. Find the numbers.
Chapter:
An analysis of particular information is given in the following table.
| Age Group | 0 – 10 | 10 – 20 | 20 – 30 | 30 – 40 | 40 – 50 |
| Frequency | 2 | 5 | 6 | 5 | 2 |
For this data, mode = median = 25. Calculate the mean. Observing the given frequency distribution and values of the central tendency interpret your observation.
Chapter: [0.06] Statistics
In a cyclic quadrilateral ABCD, ∠A = (6x + 10)°, ∠B = (5x)°, ∠C = (x + y)° and ∠D = (3y – 10)°. What will be the four angles of the cyclic quadrilateral?
Chapter:
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