List of practice Questions

A sequence of DNA has 300 nitrogenous base pairs, of which 75 are Guanine. What is the number of Thymine in this sequence?

Statement I: Nitrogen in pyridine cannot be estimated by Kjeldahl's method
Statement II: Nitrogen in pyridine changes to ammonium sulphate when heated with conc. H\(_2\)SO\(_4\) in Kjeldahl's method.
Read the above given statements and choose the correct answer from the given options.

Tribal republic of Yaudheyas was located in:

If $x$ and $y$ coordinates of a projectile as a function of time $(t)$ are given as $24t$ and $43.6t - 4.9t^2$, respectively, then the angle (in degrees) made by the projectile with horizontal when $t = 2$ s is _______.

The speed of light in vacuum is taken as unity. If light takes 6 min 40 s to reach the Earth from the Sun, the distance between the Sun and the Earth in new unit is: ____.

Which among \( 2^{1/2}, 3^{1/3}, 4^{1/4}, 6^{1/6} \) and \( 12^{1/12} \) is the largest?

Gyan Prakash left for his college in his car -
(J) He drove 15 km towards the North and then 10 km towards the West.
(K) He then turned South and covered 5 km.
(L) Further, he turned to the East and moved 8 km.
(M) Finally, he turned right and drove 10 km.
How far and in which direction is he from his starting point?

For \(n\in\mathbb{N}\), if \[ y=ax^{n+1}+bx^{-n}, \] then \[ x^2\frac{d^2y}{dx^2} \] is equal to:

Fill in the blanks with the appropriate words and complete the given sentence.
A well-known chef, started his career __________________ the age of 15 when the prodigy __________________ cooking under Eric Ripert at the iconic New York restaurant.

A spherical concave mirror of focal length 10 cm and a double convex lens of focal length 5 cm are arranged on the common principal axis as shown in the figure. A small object is placed on the principal axis between the focal points $F_1$ and $F_2$ of the mirror and the lens, respectively. If two real and mutually inverted images are formed by the lens at the same location on the principal axis, what is the distance of the object from the mirror on the principal axis?

A bag contains 25-paise, 50-paise and 1-rupee coins in the ratio 4:2:5. If the total value of all the coins in the bag is Rs. 770, then find the value of all the 25 paise and 50 paise coins in the bag.

By observing the correlation in the first pair, complete the second pair: Mass : Kilogram : : Weight : ?

Express the matrix $A = \begin{bmatrix} 2 & -2 & -4 \\ -1 & 3 & 4 \\ 1 & -2 & -3 \end{bmatrix}$ as a sum of symmetric and skew-symmetric matrices.

The half of the average value of three number is 20. The second number is thrice the third number and first number is twice the second number. What is the sum of smallest and largest number?

The resistance of the wire is 100 Ω. If it is carrying a current of 1 A for 10 seconds, the heat produced will be _ _ _ _ _ _ .

A small town with a demand of 900 kW of electric power at 220 V is situated 20 km away from an electric power generating station. The two-wires line has resistance per unit length of \( 5 \times 10^{-4} \ \Omega \text{m}^{-1} \). The town gets power from the line through 45000 V to 220 V stepdown transformer at a substation in the town. The line power loss in the form of heat is

A person invested Rs.15,000 in a mutual fund; it became Rs.25,000. If CAGR is 8.88%, then the number of years \( n \) is: [Use \( -\log 1.667 = 0.2219 \); \( \log 1.089 = 0.0370 \)]

A TV set costing Rs.55,000 has a useful life of 8 years. If annual depreciation is Rs.5,000, then the scrap value by straight line method is:

A pump can fill a tank in 2 hours. Because of a leak, it took \( 2 \frac{1}{3} \) hours (or 7/3 hours) to fill the tank. In how many hours can the leak drain all the water?

For the given 5 values, 35, 70, 30, 62, 58, the 3-year moving averages are:

A simple random sample consists of five observations: 4, 5, 9, 10 & 12. What is the point estimate of population standard deviation?

Match List-I with List-II regarding Linear Programming Problems (LPP):

The integral \( \int \frac{x^5}{\sqrt{1+x^3}} \, dx \) is equal to: