The remainder when \(2^{340}\) is divided by 341 is :

A random variable \(X\) has the following probability distribution:

X	0	1	2	3	4	5	6	7
P(X)	0	k	2k	2k	3k	\(k^2\)	\(2 k^2\)	\(7 k^2+k\)

The value of \(P(4 < X < 7)\) is equal to

Let A = \(\left[\begin{array}{ccc}152 & 105 & 3 \\ 149 & 25 & 35 \\ 2 & 1 & 0\end{array}\right]\) . If \(A_{i j}\) denotes the co-factor of an element \(a_{i j}\) of the matrix A, then the value of \(a_{11} A_{21}+a_{12} A_{22}+a_{13} A_{23}\) is equal to

If \(x\) is in the 1 st Quadrant, then the value of \(\tan ^{-1}\left(\frac{\sqrt{1+\cos x}+\sqrt{1-\cos x}}{\sqrt{1+\cos x}-\sqrt{1-\cos x}}\right)\) is :

A card is picked at random from a pack of 52 playing cards. Given that the picked card is a queen, the probability of this card to be a card of spade is:

The area bounded by the curve y = sin x and x-axis between \(x=-\pi\) and \(x=\pi\) is:

The value of the definite integral \(\int_0^1 e^x \frac{(1-x)^2}{\left(1+x^2\right)^2} d x\) is :

Which of the following is incorrect?

Analogous structures are a result of:

If \(x\) is real, the minimum value of \(f(x)=x^2-8 x+20\) is :

Which of the following has the maximum penetration power ?

A resistor and a capacitor are connected in series with an alternating current source. The potential difference across resistor and capacitor are 90 V and 120 V respectively and rms value of current is 3 A. What is the power factor of the circuit?

Read the following paragraph and answer the given questions:
DRUGS AND ALCOHOL ABUSE
The drugs, commonly abused are opioids, cannabinoids, and coca alkaloids. Opioids are the drugs, which bind to specific opioid receptors present in our central nervous system and gastrointestinal tract. Heroin, commonly called smack is chemically diacetylmorphine which is a white, odourless, bitter crystalline compound. Cannabinoids are a group of chemicals, which interact with cannabinoid receptors present principally in the brain. Natural cannabinoids are obtained from the inflorescences of the plant Cannabis sativa. The flower tops, leaves and the resin of cannabis plant are used in various combinations to produce marijuana, hashish, charas and ganja. Generally taken by inhalation and oral ingestion, these are known for their effects on cardiovascular system of the body. It interferes with the transport of the neuro-transmitter dopamine. Cocaine, commonly called coke or crack is usually snorted. It has a potent stimulating action on central nervous system, producing a sense of euphoria and increased energy. Excessive dosage of cocaine causes hallucinations. Other well-known plants with hallucinogenic properties are Atropa belladona and Datura. These days cannabinoids are also being abused by some sportspersons. Drugs like barbiturates, amphetamines, benzodiazepines, and other similar drugs, that are normally used as medicines to help patients cope with mental illnesses like depression and insomnia, are often abused. Morphine is a very effective sedative and painkiller, and is very useful in patients who have undergone surgery. Several plants, fruits and seeds having hallucinogenic properties have been used for hundreds of years in folk-medicine, religious ceremonies and rituals all over the globe.
'Coca alkaloids' are obtained from the plant-