SSC (English Medium)
SSC (Marathi Semi-English)
Academic Year: 2019-2020
Date & Time: 12th March 2020, 11:00 am
Duration: 2h
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- All questions are compulsory.
- Use of calculator is not allowed.
- The numbers to the right of the questions indicate full marks.
- In case of MCQ’s 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) of answers with subquestion number is to be written as an answer.
In the format of GSTIN, there are ______ alpha-numerals.
15
10
16
9
Chapter: [0.04] Financial Planning
From the following equations, which one is the quadratic equation?
`5/x - 3 = x^2`
x(x + 5) = 4
n – 1 = 2n
`1/x^2(x + 2) = x`
Chapter: [0.02] Quadratic Equations
Choose correct alternative for the following question.
For simultaneous equations in variables x and y, Dx = 49, Dy = –63, D = 7 then what is x?
7
– 7
`1/7`
`(-1)/7`
Chapter:
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 second and third terms of an A.P. whose first term is – 2 and the common difference is – 2.
Chapter: [0.03] Arithmetic Progression
‘Pawan Medical’ supplies medicines. On some medicines the rate of GST is 12%, then what is the rate of CGST and SGST?
Chapter: [0.04] Financial Planning
Find the values of a and b from the quadratic equation 2x2 – 5x + 7 = 0.
Chapter: [0.02] Quadratic Equations
If 15x + 17y = 21 and 17x + 15y = 11, then find the value of x + y.
Chapter: [0.01] Linear equations in two variables
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Complete the following table to draw the graph of 2x – 6y = 3:
| x | −5 | `square` |
| y | `square` | 0 |
| (x, y) | `square` | `square` |
Chapter:
First term and the common differences of an A.P. are 6 and 3 respectively; find S27.
Solution: First term = a = 6, common difference = d = 3, S27 = ?
Sn = `"n"/2 [square + ("n" - 1)"d"]` - Formula
Sn = `27/2 [12 + (27 - 1)square]`
= `27/2 xx square`
= 27 × 45
S27 = `square`
Chapter: [0.03] Arithmetic Progression
A card is drawn from a well-shuffled pack of 52 playing cards. Find the probability of the event, the card drawn is a red card.
Solution:
Suppose ‘S’ is sample space.
∴ n(S) = 52
Event A: Card drawn is a red card.
∴ Total red cards = `square` hearts + 13 diamonds
∴ n(A) = `square`
∴ p(A) = `square/("n"("s"))` ....formula
∴ p(A) = `26/52`
∴ p(A) = `square`
Chapter: [0.05] Probability
Find the value of the determinant:
`[(7/3, 5/3),(3/2, 1/2)]`
Chapter: [0.01] Linear equations in two variables
Solve the quadratic equation by factorisation method:
x2 – 15x + 54 = 0
Chapter: [0.02] Quadratic Equations
Decide whether the following sequence is an A.P., if so find the 20th term of the progression:
–12, –5, 2, 9, 16, 23, 30, ..............
Chapter: [0.03] Arithmetic Progression
A two digit number is formed with digits 2, 3, 5, 7, 9 without repetition. What is the probability that the number formed is an odd number?
Chapter: [0.05] Probability
Find the mode from the following information:
L = 10, h = 2, f0 = 58, f1 = 70, f2 = 42.
Chapter: [0.06] Statistics
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| Age group (in years) |
No. of Persons | Measure of central angle |
| 20 – 25 | 80 | `square/200 xx 360^circ = square` |
| 25 – 30 | 60 | `60/200 xx 360^circ = square` |
| 30 – 35 | 35 | `35/200 xx square = 63^circ` |
| 35 – 40 | 25 | `25/200 xx 360^circ = square` |
| Total | 200 | `square` |
Chapter: [0.06] Statistics
Shri Shantilal has purchased 150 shares of FV ₹ 100, for MV of ₹ 120, Company has paid dividend at 7%, then to find the rate of return on his investment, complete the following activity:
Solution: FV = ₹ 100; Number of shares = 150
Market value = ₹ 120
1. Sum investment = MV × No. of Shares
= `square xx square`
∴ Sum investment = ₹ 18,000
2. Dividend per share = FV × Rate of dividend
= `square xx square/100`
= ₹ 7
∴ Total dividend received = 150 × 7
= `square`
3. Rate of return = `"Dividend income"/"Sum inve ted" xx 100`
= `1050/18000 xx 100`
= `square`
Chapter: [0.04] Financial Planning
A balloon vendor has 2 red, 3 blue and 4 green balloons. He wants to choose one of them at random to give it to Pranali. What is the probability of the event that Pranali gets, a red balloon
Chapter: [0.05] Probability
A balloon vendor has 2 red, 3 blue and 4 green balloons. He wants to choose one of them at random to give it to Pranali. What is the probability of the event that Pranali gets, a blue balloon
Chapter: [0.05] Probability
The denominator of a fraction is 4 more than twice its numerator. Denominator becomes 12 times the numerator, if both the numerator and the denominator are reduced by 6. Find the fraction.
Chapter:
A milk centre sold milk to 50 customers. The table below gives the number of customers and the milk they purchased. Find the mean of the milk sold by direct method.
| Milk Sold (Litre) | 1 – 2 | 2 – 3 | 3 – 4 | 4 – 5 | 5 – 6 |
| No. of Customers | 17 | 13 | 10 | 7 | 3 |
Chapter: [0.06] Statistics
In an A.P. sum of three consecutive terms is 27 and their products is 504. Find the terms. (Assume that three consecutive terms in an A.P. are a – d, a, a + d.)
Chapter: [0.03] Arithmetic Progression
Represent the following data by histogram:
| Price of Sugar (per kg in ₹) | Number of Weeks |
| 18 – 20 | 4 |
| 20 – 22 | 8 |
| 22 – 24 | 22 |
| 24 – 26 | 12 |
| 26 – 28 | 6 |
| 28 – 30 | 8 |
Chapter: [0.06] Statistics
One person borrows ₹ 4,000 and agrees to repay with a total interest of ₹ 500 in 10 instalments. Each instalment being less than the preceding instalment by ₹ 10. What should be the first and the last instalments?
Chapter: [0.03] Arithmetic Progression
The sum of the areas of two squares is 400 sq.m. If the difference between their perimeters is 16 m, find the sides of two squares.
Chapter: [0.02] Quadratic Equations
Convert the following equations into simultaneous equations and solve:
`sqrt("x"/"y") = 4, 1/"x" + 1/"y" = 1/"xy"`
Chapter: [0.02] Quadratic Equations
A dealer sells a toy for ₹ 24 and gains as much percent as the cost price of the toy. Find the cost price of the toy.
Chapter: [0.02] Quadratic Equations
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