7,213 questions & answers
What is the Ecosystem pyramid?
| Column I | Column II |
|---|---|
| a. If $x, y \in \mathbb{R}$, satisfying the equation $\frac{(x-4)^{2}}{4}+\frac{y^{2}}{9}=1$ | p. $-\frac{2}{3}$ |
| b. If $P Q$ is focal chord of ellipse $\frac{x^{2}}{25}+\frac{y^{2}}{16}=1$ which passes through $S \equiv(3,0)$ and $P S=2$, then length of chord $P Q$ is | q. 10 |
| c. If the normal at the point $P(\theta)$ to the ellipse $\frac{x^{2}}{14}+\frac{y^{2}}{5}=1$ intersect it again at the point $Q(2 \theta)$, then the value of | |
| d. The length of common tangent to $x^{2}+y^{2}=16$ and $9 x^{2}+25 y^{2}=225$ is | r. $\frac{3}{4} \sqrt{7}$ |
A $\mathrm{a}-\mathrm{s} ; \mathrm{b}-\mathrm{r} ; \mathrm{c}-\mathrm{q} ; \mathrm{d}-\mathrm{p}$
B $\mathrm{a}-\mathrm{p} ; \mathrm{b}-\mathrm{q} ; \mathrm{c}-\mathrm{r} ; \mathrm{d}-\mathrm{s}$
C $a-s ; b-q ; c-p ; d-r$
(D) $\mathrm{a}-\mathrm{q} ; \mathrm{b}-\mathrm{r} ; \mathrm{c}-\mathrm{s} ; \mathrm{d}-\mathrm{p}$
Determine the number nearest to 110000 but greater than 100000 which is exactly divisible by each of 8, 15, and 21.
If we divide the sum of all observations by the value, we get the number of observations.
- median
- mode
- mean
Find the equation of the tangent at $\left(-\frac{3}{2}, \frac{2}{2}\right)$ to the ellipse $7 x^{2}+7 y^{2}+2 x y+10 x-10 y+7=0$
(C) $2x + 6y = 6$
The condition for two sets A and B to be disjoint is:
- A ∩ B = ∅
The number of ways so that the birthdays of 6 people fall in exactly 3 calendar months is:
Option 1) 118800
Option 2) 36960
Option 3) 158400
Option 4) 47520
The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is:
- 3
- 4
- 5
- 6
Most of the endangered species are victims of:
- Competition with introduced species
- Habitat destruction
- Over-hunting
- Acid rain
What according to Buddha was Dharma?
1) His journey from Gaya to Sarnath.
2) The incident of enlightenment.
3) The same as Nirvana.
4) The universal law controlling the universe.
What is the colour change observed in dil. HCl solution when phenolphthalein is added to it?
Colourless
Pink
Yellow
Green
During electrolysis of NaCl, NaCl is taken in molten state so it conducts electricity because of the free electrons. Why is this done?
How many planes can pass through any three arbitrary distinct points?
- 1
- 2
- 3
Which of the following helps life to sustain in water?
Option 1: Dissolved Oxygen in water.
Option 2: Plants
Option 3: Water
Option 4: Undissolved Oxygen in water.
A child is moving on a skateboard with a speed of 2 m/s. After a force acts on him, his speed becomes 3 m/s. Calculate the work done by the force, if the mass of the child is 20 kg.
The side of a cube is measured by a vernier caliper (10 divisions of a vernier scale coincide with 9 divisions of main scale, where 1 division of main scale is $1 \mathrm{~mm}$). The main scale reads $10 \mathrm{~mm}$ and the first division of the vernier scale coincides with the main scale. The mass of the cube is $2.736 \mathrm{~g}$. Find the density of the cube in appropriate significant figures.
Options: A. $2.6 \mathrm{~g} / \mathrm{cm}^{3}$ B. $2.655 \mathrm{~g} / \mathrm{cm}^{3}$ C. $2.65 \mathrm{~g} / \mathrm{cm}^{3}$ D. None of these
The amount is paid to the executor of the deceased partner for his share of profit. This payment is recorded in the profit and loss account.
- reserve
- suspense
- appropriation
- adjustment
Boojho comes across an animal having a streamlined and slippery body. What is the habitat of the animal?
(a) Water
(b) Desert
(c) Grassland
(d) Mountain
Who was known as the Great Khan of the Mongols?
- Chengiz Khan
- Yunus Khan
- Batu Khan
- Abaqa Khan
If the interest charged for 8 months is 0.06 times the money borrowed, then what is the rate of interest per year?
- 9.5%
- 8.5%
- 10.25%
- 9%