List of top Questions asked in TG ICET

Find the median of the following frequency distribution.

Find the median of the following data.

Find the median of the following classified data.

If three coins are tossed simultaneously, then what is the probability of getting one Head and two Tails?

The average of the numbers \(5^2,6^2,7^2,\ldots,15^2\) is

A set \(S\) contains 12 consecutive integers. The sum of the 6 smallest integers of \(S\) is 321. The mean of the largest six integers of \(S\) is

If the mode of the following classified data is 33.75, then what is the value of \(x\) in the table?

A straight line \(ax+by=1\) passes through the points \((1,2)\) and \((2,1)\). Then \(9(a^{2}+b^{2})=\)

If the line \(y=mx+c\) makes intercepts \(a,b\) on coordinate axes respectively, such that \(a+b=10\) and \(ab=24\) with \(a>b\), then \(3m+5c=\)

If a line with slope 3 passing through the point \((4,-5)\) makes intercepts \(a,b\) on the coordinate axes, then \(3a^2+4b^2=\)

Two circles of radii 9 cm and 4 cm touch each other externally. A line touches the two circles at P and Q respectively. Then length of PQ, in cm, is

The quadrilateral ABCD with \(A(-5,12)\), \(B(-2,-3)\), \(C(9,-10)\), \(D(6,5)\) is a

The ratio in which the point (4,5) divides the line joining the points (2,3) and (7,8) is

In triangle ABC, \(B(10,9)\) and \(C(5,3)\). If D, E are mid points of AB, AC respectively, then slope of DE is

If the slope of the line \((\sqrt{3}+\sqrt{2})y+(\sqrt{8}-\sqrt{12})x=0\) is \(a-\sqrt{b}\), then \(a^2+b=\)

The equation of the line passing through the origin and having a slope of \(\frac{1}{\sqrt{3}}\) is

ABCD is a quadrilateral whose diagonal BD is of length 26 cm. The lengths of the perpendiculars drawn from A and C on BD are 14 cm and 8 cm respectively. The area of the quadrilateral in sq. cm. is

The angle of elevation of a tower PQ from a point A on the ground is observed as $30^\circ$. After walking 12 m towards the foot of the tower, the angle of tower is observed as $60^\circ$. Then the height of the tower in meter is

If ABC is an isosceles triangle with $AB=AC$ and $\angle BAC=70^\circ$, then the external angle at C is

In triangle ABC, the lengths of the sides are 5 cm, 8 cm and 9 cm. If D, E and F are the midpoints of BC, CA and AB respectively, then the area of triangle DEF, in $cm^2$, is

In the adjoining figure, \(AD \parallel BC\). What is the perimeter of the quadrilateral \(ABCD\)?

Two concentric circles are of radii 5 cm and 3 cm. The length of the chord of the larger circle which touches the smaller circle (in cm) is

If $\tan\theta,\;2\tan\theta+2,\;3\tan\theta+3$ are in geometric progression and $\tan\theta\neq -1$, then $\tan\theta=$

In an arithmetic progression, the first term is 2 and the sum of its first five terms is one-fourth of the sum of the next five terms. The 20th term of that progression is

Sum of first three terms of a GP is 93 and the product of the first and third terms is 225. Then the 4th term of the GP is