List of practice Questions

Which one of the following is not a correct statement ?

Isogamous condition with non-flagellated gametes is found in

Among bitter gourd, mustard, brinjal, pumpkin, china rose, lupin, cucumber, sunnhemp, gram, guava, bean, chilli, plum, petunia, tomato, rose, withania, potato, onion, aloe and tulip how many plants have hypogynous flower ?

The tendency of population to remain in genetic equilibrium may be disturbed by

Secondary productivity is rate of formation of new organic matter by

Which one of the following is not used for ex situ plant conservation ?

A stage in cell division is shown in the figure. Select the answer which gives correct identification of the stage with its characteristics.

(1)	Telephase	Nuclear envelop reforms, golgi complex reforms.
(2)	Late Anaphase	Chromosomes move away from equatorial plate, golgi complex not present.
(3)	Cytokinesis	Cell plate formed, mitochondria distributed between two daughter cells.
(4)	Telophase	Endoplasmic reticulum and nucleolus not reformed yet.

Figure shows schematic plan of blood circulation in humans with labels A to D. Identify the label and give its function/s.

According to Darwin, the organic evolution is due to

The three boxes in this diagram represent the three major biosynthetic pathways in aerobic respiration. Arrows represent net reactants or products

Arrows numbered 4, 8, and 12 can all be

Perisperm differs from endosperm in

Which of the following is not correctly matched for the organism and its cell wall degrading enzyme ?

In plant breeding programmes, the entire collection (of plants/seeds) having all the diverse alleles for all genes in a given crop is called

Let $f(x)=\left(x^{5}-1\right)\left(x^{3}+1\right), g(x)=\left(x^{2}-1\right)\left(x^{2}-x+1\right)$ and let $h(x)$ be such that $f(x)=g(x) h(x)$. Then $\displaystyle\lim _{x \rightarrow 1} h(x)$ is

If the line $2x - 3y = k$ touches the parabola $y^2 = 6x$, then find the value of $k$.

Find the variance of the data given below

Occurance $(x_i)$	Frequency $(f_i)$	Freq $\ast (x_i)$	$(x_i-mean)$	$(x_i-mean)^2$	$f_i(x_i-mean)^2$
3.5	3	10.5	-3.59	12.887	38.661
4.5	7	31.5	-2.59	6.707	46.952
5.5	22	121	121	2.528	55.609
6.5	60	390	-0.59	0.348	20.876
7.5	85	637.5	0.41	0.168	14.298
8.5	32	272	1.41	1.988	63.632
9.5	8	76	2.41	5.809	46.47
Total	217	1538.5	-	-	286.498

If x satisfies $| 3 x - 2 | + | 3x - 4 | + | 3x - 6 | \ge 12$, then

Let $R$ be the relation on the set $R$ of all real numbers, defined by $aRb$ If $|a - b| \le 1$. Then, $R$ is

$S$ and $T$ are the foci of an ellipse and $B$ is an end of the minor axis. If $STB$ is an equilateral triangle, then the eccentricity of the ellipse is

An ellipse has $OB$ as semi-minor axis, $F$ and $F$ are its foci and the $\angle FBF$, is a right angle. Then, the eccentricity of the ellipse is

In the truth table for the statement $(p \wedge q) \rightarrow(q \vee \sim p)$, the last column has the truth value in the following order is

A pair of tangents are drawn from the origin to the circle $x^2 + y^2+ 20 (x + y) + 20 = 0$, then the equation of the pair of tangent are

For $k=1,2,3$ the box $Bk$ contains $k$ red balls and $(k+1)$ white balls. Let $P\left(B_{1}\right)=\frac{1}{2}, P\left(B_{2}\right)=\frac{1}{3}=\frac{1}{3}$ and $P\left(B_{3}\right)=\frac{1}{6} .$ A box is selected at random and a ball is drawn from it. If a red ball is drawn, then the probability that it has come from box $B_{2}$, is

The value of $\cos \left[ \frac{1}{2} \cos^{-1}\left(\cos\left(\sin^{-1} \frac{\sqrt{63}}{8}\right)\right)\right] $ is -

Figure shows a copper rod joined to a steel rod. The rods have equal length and equal crosssectional area. The free end of the copper rod is kept at $0^{\circ} C$ and that of steel rod is kept at $100^{\circ} C$. Find the temperature of the junction of the rod. Conductivity of copper $=390 W / m ^{\circ} C$. Conductivity of steel $=46 W / m ^{\circ} C$