KVPY SB/SX Mock...

Ten trucks numbered 1 to 10, are carrying packets of sugar. Each packet weighs either 999 gm or 1000 gm and each truck carries only the packets of equal weight. The combined weight of 1 packet selected from the first truck, 2 packets from the second, 4 packets from the third, and so on, and 2⁹ packets from the tenth truck is 1,022,870 gm. The trucks that have the lighter bags are

An envelope has space for at most 3 stamps. If you are given three stamps of denomination 1 and 3 of denomination a, (a > 1), the least positive integer for which there is no stamp value is

The number of ordered pairs (m, n), where m, n ∈ {1, 2, 3, ......, 50}, such that 6^m + 9ⁿ is a multiple of 5 is

The number of rectangles that can be obtained by joining four of the twelve vertices of a 12-sided regular polygon is:

Let ω be a cube root of unity not equal to 1. Then, the maximum possible value of |a + bω + cω²|, where a, b, c ∈ {+1, -1}, is

The number of integers n with 100 ≤ n ≤ 999 and containing at most two distinct digits is

Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is held at a temperature of 100°C, while the other one is kept at 0°C. If the two are brought into contact, then, assuming no heat loss to the environment, the final temperature that they will reach is

The following travelling electromagnetic wave E_x = 0, E_y = E₀sin(kx + ωt), E_z = 2E₀sin(kx - ωt) is

Which of the following has the highest bond angle?

Assuming ideal behaviour, the enthalpy and volume of mixing of two liquids, respectively are

The function of enzymes is to

Which of the following diseases is not sexually transmitted?

Sickle cell anaemia is caused by

Mitochondria are not associated with which of the following functions?

Diabetes insipidus is due to

A ripe mango, kept with unripe mangoes, causes their ripening. This is due to the release of a gaseous plant hormone called

A hormone molecule binds to a specific protein on the plasma membrane inducing a signal. The protein that binds to it is called a/an

If the sequence of bases in sense strand of DNA is 5'-GTTCATCG-3', then the sequence of the bases in its RNA transcript would be

Bacteria can survive by absorbing soluble nutrients via their outer body surface, but animals cannot, because

If you compare adults of two herbivore species of different sizes, but from the same geographical area, the amount of faeces produced per kg body weight would be

A couple went to a doctor and reported that both of them were "carriers" of a particular disorder, their first child was suffering from that disorder and that they were expecting their second child. What is the probability that the new child would be affected by the same disorder?

The fluid part of blood flows in and out of capillaries in tissue to exchange nutrients and waste materials. Under which of the following conditions will fluid flow out from the capillaries into the surrounding tissue?

In humans, the composition of a zygote that will develop into a female is

In which of the following sets of fractions will you find nucleic acids if you fractionate all the organelles from the cytoplasm of a plant cell?

Circadian rhythm is an endogenously driven cycle for biochemical, physiological and behavioural processes. In humans, the approximate duration of this 'biological clock' is

As proposed by Watson and Crick in 1953, the original model of DNA is a

In green leaves, the light and dark reactions occur in

Which of the following organs is/are capable of producing fructose in humans?

Species that are most effective at colonising new habitats show

Instead of 3, if 2 bases coded for an amino acid, degeneracy of codons coding for the same amino acid would have

The condition varicose veins is swelling of veins, that occurs due to

Insectivorous plants that mostly grow on swampy soil use insects as a source of

Two students are given two different double-stranded DNA molecules of equal lengths. They are asked to denature the DNA molecule by heating. The DNA given to student A has the following composition of bases (A:G:T:C:35:15:35:15) while that given to student B is (A:G:T:C:12:38:12:38). Which of the following statements is true?

Consider a locus with two alleles, A and a. If the frequency of AA is 0.25, then what will be the frequency of A under Hardy-Weinberg equilibrium?

Rodents can distinguish between many different types of odours. The basis for odour discrimination is that

For a human male, what is the probability that all the maternal chromosomes will end up in the same gamete?

Brown fat is specialised adipose tissue with abundant mitochondria and rich blood supply. Brown fat