List of top Mathematical Ability Questions asked in TG ICET

A set \(A\) contains first 30 natural numbers. If 3 numbers are chosen at random from the set \(A\), the probability that their product is an odd integer is

Consider the quadratic equation \(x^{2}+bx+c=0\), where \(b,c \in \{1,2,3,4,5\}\). What is the probability that the equation has real roots?

Find the median of the following data.

Median of the data 5, 56, 48, 13, 27, 91, 16, 9, 78 is \(x\). Later the observations 56, 78 are found to be incorrect and they are replaced by 33 and 42 respectively. If the median of the new data is \(y\), then \(x^{3}-y^{3}=\)

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

Find the median of the following frequency distribution.

Find the median of the following classified data.

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

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

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

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

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 \(3m+5c=\)

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

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

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

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

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

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

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

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

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

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

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