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A running track of 440 ft. is to be laid out enclosing a football field, the shape of which is a rectangle with a semi-circle at each end. If the area of the rectangular portion is to be maximum find the length of its longest sides.

(a) 55 (b) 110 (c) 220 (d) 140 Solution: Let x be the length of the rectangle and y be the breadth of the rectangle. The perimeter of... View Article

The compound interest on Rs 4000 at 10% per annum for 2 years 3 months compounded annually is

(a) Rs. 916 (b) Rs. 900 (c) Rs. 961 (d) Rs. 896 Solution: Given Principal, P = Rs.4000 Rate of Interest, r = 10% Time = 2 years and 3... View Article

The system of equations x+y+z = 6, x+2y+3z = 10, x+2y+λz = μ has no solution if

(a) λ= 3,μ = 10 (b) λ ≠ 3,μ = 10 (c) λ ≠ 3,μ ≠ 10 (d) λ = 3,μ ≠ 10 Solution: x+y+z = 6... View Article

If A and B be two sets such that n(A) = 15, n(B) = 25, then the number of possible values of n(AΔB)(symmetric difference of A and B) is

(a) 30 (b) 16 (c) 26 (d) 40 Solution: Given n(A) = 15 n(B) = 25 n(AΔB) = n(A∪B) - n(A∩B) n(A∪B) = n(A)+n(B) -... View Article

Select the correct statement about the location of the organ of corti.

a) Attached to the oval window b) Coiled part of the labyrinth c) Located on the basilar membrane d) Connects middle ear and pharynx... View Article

The phenomenon of nuclear fusion of sperm and egg is known as

a) Parthenogenesis b) Oogenesis c) Karyogamy d) Vitellogenesis Answer: c) Karyogamy Explanation: Karyogamy is the fusion of two haploid... View Article

Subunits of a mitochondrial ribosome in animal cells are

a) 25S and 40S b) 28S and 39S c) 30S and 40S d) 40S and 20S Answer: b) 28S and 39S Explanation: Mitochondrial ribosomes in eukaryotes... View Article

Which among the following is the tool used for sowing seeds that is shaped like a funnel?

a) Plough b) Hoe c) Traditional tool d) Seed drill Answer: c) Traditional tool Explanation: The traditional tool for sowing was a manual... View Article

Which of the following ribosomes are involved in protein synthesis?

a) Ribosomes which occur on the nuclear membrane and E.R b) Ribosomes of only cytosol c) Ribosomes of only nucleolus and cytosol d)... View Article

Age of reptiles was known as

a) Mesozoic Era b) Paleozoic Era c) Cenozoic Era d) Archaeozoic Era Answer: a) Mesozoic Era Explanation: The mesozoic era began 251... View Article

What is the epicarp and mesocarp of a coconut?

Coconut is a member of the palm tree family and belongs to the family Arecaceae. Its scientific name is Cocos nucifera. The fruit of a coconut is... View Article

Choose the incorrect statement with respect to the cell membrane

a) Generally smaller molecules pass easily and readily than large molecules. b) Water soluble substances pass through it less readily than... View Article

In a compound microscope, maximum magnification is obtained when the final image

a) Is formed at the least distance of distinct vision b) Is formed at infinity c) Coincides with the object d) Coincides with the objective... View Article

Which among the following statements is correct about plasmids?

a) It has a circular DNA b) It has antibiotic resistant gene c) It has the ability of autonomous replication d) Its DNA is as long as... View Article

Draw a cross section of Aschelminthes.

Aschelminthes are free living, unsegmented worms. They are bilaterally symmetrical, triploblastic and pseudocoelomate. They are usually small,... View Article

Which of the following functions is not considered a function of bile juice?

a) Neutralising the acidic traces of food b) Providing an alkaline medium for the intestinal proteases c) Emulsifying fats d) It contains a... View Article

A polygenic trait is controlled by 3 genes A,B and C. In a cross AaBbCc×AaBbCc, the phenotypic ratio of the offsprings was observed as 1:6:x:20:x:6:1 What is the possible value of x?

a) 3 b) 9 c) 15 d) 25 Answer: c) 15 Explanation: Number of offsprings= 4n Where n = number of genes = 3 Therefore, 43 = 64 A total... View Article