List of top Questions asked in Jharkhand Polytechnic

Solution of the system of linear equations \(2x - 5y = 7\) and \(y - 1 = 0\) is :
A cylindrical pencil sharpened at one edge is the combination of :
In the proof of BPT (\(DE \parallel BC\) in \(\triangle ABC\)), since \(\triangle BDE\) and \(\triangle CDE\) have equal areas, the ratio AD/DB is shown to be equal to ________.
In \(\triangle ABC\) and \(\triangle DEF\), \(\angle A = \angle D\). For \(\triangle ABC \sim \triangle DEF\) by the SAS similarity criterion, the additional condition required is
In \(\triangle ABC\) and \(\triangle PQR\), \(\angle A = \angle P\) and \(\angle B = \angle Q\). If AB = 4 cm, BC = 6 cm and PQ = 8 cm, then QR is
In \(\triangle ABC\), D lies on AB and E lies on AC such that AD = 2 cm, DB = 3 cm, AE = 4 cm and EC = 6 cm. By the converse of the Basic Proportionality Theorem, ________.
A sum of Rs. 700 is used to give 7 cash prizes to students for academic performance. If each prize is Rs. 20 less than its preceding prize, the value of the first (highest) prize is:
The point P(-4, 6) divides the line segment joining A(-6, 10) and B(3, -8) internally in the ratio
The sum of the digits of a two-digit number is 9. If nine times the number equals twice the number obtained by reversing its digits, the number is
In the proof of the Basic Proportionality theorem for \(\triangle ABC\) with \(DE \parallel BC\) (on AB, E on AC), the construction made is to join ________.
In an auditorium, the sloping floor allows the seats to be arranged to give a clear view of the stage. The seats are arranged in such a way that the number of rows is equal to the number of seats in each row. When the number of rows are doubled and the number of seats in each row is reduced by 16, then the total number of seats increases by 320. Based on the above information, the total number of seats in the original arrangement is :
The pair of linear equations \(kx + 3y = k - 3\) and \(12x + ky = k\) has NO solution for the value of \(k\) equal to :
The ratio of income of two persons is 9 : 7 and the ratio of their expenditure is 4 : 3. If each of them saves Rs. 2,000 per month, find difference of their monthly income.
In the given figure, the height 'h' is:
The graph of the linear equation \(2x + 3y = 6\) is a line which meets the y-axis at the point :
\((\frac{2}{5}\cos 0^{\circ} - \frac{1}{5}\sin 0^{\circ})\) is equal to :
The area of the circle that can be inscribed in a square of 6 cm is
In the given figure, O is the centre of the circle and PQ & PR are the tangents to the circle such that OQ = 8 cm and OP = 17 cm, then the length of the tangent PQ is :
Select the mean of squares of first n natural numbers :
Given \(\tan A = \frac{4}{3}\), then \(\cos A\) is :
For what value(s) of c, the pair of equations \(x - 2y = 8; 5x - 10y = c\) have infinite solution ?
Which of the following is irrational number?
The graph of \(y = f(x)\) is shown in the figure for some polynomials \(f(x)\). The number of zeroes for the polynomials is
What will come in the place of question mark in the following question ?
\[ \sqrt{726} + \sqrt{294} + \sqrt{1176} + \sqrt{486} - \sqrt{600} = (?) \]
If semi-vertical angle of a cone of radius 7 cm is \(30^{\circ}\), then the curved surface area of the cone (in sq cm) is : (Take \(\pi = \frac{22}{7}\))