List of top Questions asked in Maharashtra Class X Board

A courier service agent charged ₹590 to courier a parcel from Nashik to Nagpur. In the tax invoice, the taxable value is ₹500 on which CGST = ₹45 and SGST = ₹45. Find the rate of GST charged for this service.

Observe the following table and find the Mean: \[ \text{Assumed Mean (A)} = 300 \] \[ \begin{array}{|c|c|c|c|} \hline \text{Class Interval} & \text{Class Mark } (x_i) & \text{Frequency } (f_i) & f_i d_i \\ \hline 200 - 240 & 220 & 5 & -400 \\ 240 - 280 & 260 & 10 & -400 \\ 280 - 320 & 300 & 15 & 0 \\ 320 - 360 & 340 & 12 & 480 \\ 360 - 400 & 380 & 8 & 640 \\ \hline \text{Total} & & \Sigma f_i = 50 & \Sigma f_i d_i = 320 \\ \hline \end{array} \]

Form a ‘Road Safety Committee’ of two, from 2 boys (B₁, B₂) and 2 girls (G₁, G₂). Complete the activity to write the sample space:

Fill in the boxes with the help of given information: \[ \textbf{Tax Invoice of Services Provided (Sample)} \] \[ \textbf{Food Junction, Khed-Shivapur, Pune} \] \[ \text{Invoice Date: 25 Feb., 2020} \] \[ \begin{array}{|c|c|c|c|c|c|c|c|} \hline \textbf{SAC} & \textbf{Food Items} & \textbf{Qty} & \textbf{Rate (₹)} & \textbf{Taxable Amount (₹)} & \textbf{CGST} & \textbf{SGST} & \textbf{Amount (₹)} \\ \hline 9963 & \text{Coffee} & 1 & 20 & 20.00 & 2.5% = 0.50 & 2.5% = 0.50 & 21.00 \\ \hline 9963 & \text{Masala Tea} & 1 & 10 & 10.00 & 2.5% = 0.25 & 2.5% = 0.25 & 10.50 \\ \hline 9963 & \text{Masala Dosa} & 2 & 60 & 120.00 & 2.5% = 3.00 & 2.5% = 3.00 & 126.00 \\ \hline \textbf{Total} & & & & 150.00 & & & \\ \hline \textbf{Grand Total} & & & & & & & \textbf{₹157.50} \\ \hline \end{array} \]

Solve the following simultaneous equations using Cramer’s Rule: \[ 4m + 6n = 54 \quad \text{and} \quad 3m + 2n = 28 \]

Solve the following quadratic equation by formula method: \[ x^2 + 10x + 2 = 0 \]

A two-digit number is formed with digits 2, 3, 5, 7, 9 without repetition. Find 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.

Find the common difference of the following A.P.: \[ 2, \, 4, \, 6, \, 8, \ldots \]

On a certain article, if the rate of CGST is 9%, then what is the rate of SGST?

If one coin is tossed, write the sample space ‘S’.

i.Complete the following activity and find the value of \(x\):
\[ \begin{aligned} 5x + 3y &= 9 \quad \text{...(I)} \\ 2x - 3y &= 12 \quad \text{...(II)} \end{aligned} \]

Complete the following activity to determine the nature of the roots of the quadratic equation \(x^2 + 2x - 9 = 0\):

Complete the following table using the given information:
\[ \begin{array}{|c|c|c|c|} \hline \textbf{Sr. No.} & \textbf{FV (₹)} & \textbf{Share is at} & \textbf{MV (₹)} \\ \hline 1 & 100 & \text{Par} & \boxed{100} \\ \hline 2 & \boxed{75} & \text{Premium ₹500} & 575 \\ \hline 3 & 10 & \boxed{\text{Discount ₹5}} & 5 \\ \hline 4 & 200 & \text{Discount ₹50} & \boxed{150} \\ \hline \end{array} \]

Solve the following simultaneous equations: \[ x + y = 4 \quad \text{and} \quad 2x - y = 2 \]

Write the following equation in the form \(ax^2 + bx + c = 0\), then write the values of \(a, b, c\):
\[ 2y = 10 - y^2 \]

Out of the following equations, which one is not a quadratic equation?

For the given A.P. \(a = 3.5, \, d = 0\), find \(t_n = \, ?\)

If \(n(A) = 2\), \(P(A) = \frac{1}{5}\), then find \(n(S) = ?\)}

Find the value of the following determinant:
\[ \begin{vmatrix} 4 & 3 \\ 2 & 7 \end{vmatrix} \]

To draw the graph of \(4x + 5y = 19\), find \(y\) when \(x = 1\):

Sachin Ramesh Tendulkar who was born on 24th April 1973 in Mumbai is a former Indian International Cricketer and a former captain of the Indian National Team. He is regarded as one of the greatest batsmen of all time and often referred as the 'God of cricket' by Indian Cricket followers. He made his debut on 15th November, 1989 against Pakistan in 'Karachi' at the age of sixteen. He is the only player to have scored one hundred international centuries and only player to complete more than 30,000 runs in international cricket. He was trained under the able guidance of Ramakant Achrekar Sir. He received the Arjuna Award in 1994, Rajiv Gandhi Khel Ratna Award in 1997, Padma Shri and Padma Vibhushan Awards in 1999 and 2008 respectively, fourth and second highest civilian awards of India. He was also awarded the Bharat Ratna, highest civilian award of India in 2013. He is a devotee of the deity Ganesha.
Complete the following sentences from the passage :
(i) Sachin was born on .........................................
(ii) Sachin is a devotee of the deity .........................................
(iii) He was trained under the able guidance of .........................................
(iv) He made debut on .........................................