CONTEST 9
ROUND 1
Preamble
Find the conjugate of the given surd. (M)
Q. .
A.
Q.
A.
Q. Name the part of the pelvic girdle in mammals, where the head of the femur fits to form the
hip joint. (B)
A. Acetabulum
Q. Which part of the scapula does the rounded head of the humerus fit to form the shoulder
joint? (B)
A. Glenoid cavity
Q. What is the dimension of angular momentum? (P)
A. ML2T-1 (M for mass, L for distance and T for time)
Q. What is the dimension of torque? (P)
A. ML2T-2
Preamble
Find the sum in arithmetic modulo 12. (M)
Q. 145 + 132
A. 1 [145 = 1 mod 12, 132 = 0 mod 12; 145 + 132 = 1 + 0 = 1]
Q. 48 - 25
A. 11 [48 - 25 = 23 = 11 mod 12]
Q. What product will be formed if 2-bromo-propane is heated in the presence of alkali? (C)
A. Propene (dehydrohalogenation)
1
Q. What product will be formed if 2-propanol is heated in the presence of conc. H2SO4 at about
200 oC? (C)
A. Propene (dehydration)
Q. Which form of sugar is found in blood? (B)
A. Glucose
Q. Which structure in animals stores glucose and glycogen? (B)
A. Liver
Preamble
In an experiment to determine the relationship between two physical quantities f and d, a graph
with logarithm of f on the vertical axis and d on the horizontal axis gave a straight line with slope
2. (M)
Q. What is the probable relationship between f and d?
A.
Q. What would have been the nature of the graph if f were plotted on the vertical axis and 1/d2
on the horizontal axis?
A. A straight line
Q. Round off or approximate the give decimal number to the given order approximation: 25.785
to the nearest hundredth. (M)
A. 25.99
Q. Round off or approximate the give decimal number to the given order approximation: 25,685
to the nearest thousand. (M)
A. 26000
Q. When the half-cell Fe2+/Fe is connected to the X+/X half-cell, the iron electrode is negative.
What is the reaction in the Fe2+/Fe half-cell? (C)
A. Fe – 2e Fe2+
Q. If the couple M+/M has an electrode potential of +0.6V, how would the metal M react with
dilute mineral acid? (C)
A. M will not react (because M – e M+ will be negative)
2
Q. What name is given to a form of trait that gives an individual an advantage in terms of
survival and reproduction? (B)
A. Adaptive trait
Q. The outcome of differences in survival and reproduction among individuals that differ in
details of one or more traits is known as……. (B)
A. Natural selection
Q. Why is the iron core of a transformer laminated? (P)
A. To reduce eddy currents
Q. Why is the wire used in the primary winding of a step-down transformer thinner than the wire
used in the secondary winding? (P)
A. The primary carries less current and the secondary carries a larger current so its wire is thicker
to reduce loss by heating.
Q. If , find . (M)
A.
Q. If , find . (M)
A.
Q. What is an alloy? (C)
A. Solid solution
Q. Distinguish between bronze and brass. (C)
A. Both are alloys. (Bronze = copper + tin, Brass = copper + zinc)
Q. Which group of animals have three chambered hearts? (B)
A. Amphibians
Q. Which order of mammals possesses a pair of chisel-like incisor teeth in the upper jaw? (B)
A. Rodentia
Q. Which stroke follows the intake strake in a petrol engine? (P)
A. Compression
Q. Which stroke follows ignition in a petrol engine? (P)
3
A. Power
Q. What is a closed system in thermochemistry? (C)
A. It is a system which cannot exchange matter with its surroundings but can exchange heat
energy.
Q. If a system does not exchange matter nor heat energy with its surroundings, what type of
system would that be? (C)
A. Isolated system
4
ROUND 2
Q. A and B are acute angles such that and . Find
i.
ii.
iii.
iv. (M)
A.
5 13
3 5
A
B
4 12
i.
ii.
5
iii.
iv.
ROUND 3
Q. The basicities of H2SO4 and H3PO3 are 2 and 3 respectively. (C)
A. F [H2SO4 = 2 and H3PO3 = 1]
Q. The cortical tissue in plants is composed of parenchyma cells. (B)
A. T
Q. If the polynomial expression f(x) is divided by (x – a) the remainder is f(-a). (M)
A. F [R = f(a)]
Q. The effective capacitance of two capacitors connected in parallel is lower than the capacitance
of each capacitor. (P)
A. F
Q. The same current flows through two series connected resistors. (P)
A. T
Q. NH4Cl is a typical example of an acid salt. (C)
A. F [acid salts are NaH2PO4, Na2HPO4, NaHSO4]
Q. The endodermis is not common in stems but universal in roots. (B)
A. T
Q. (x – 2) is a factor of (x2 – 4). (M)
A. T
6
Q. The composition of a function with its inverse gives 1 (0ne). (M)
A. F (gives x)
Q. The electrical resistance of a conductor is independent of its length. (P)
A. F
Q. The larger the capacitance of a capacitor, the greater the energy it can store for a given
voltage. (P)
A. T
Q. Centipedes belong to the class Diplopoda. (B)
A. F (Chilopoda)
Q. The class Amphibia belongs to the phylum Chordata. (B)
A. T
Q. A linear transformation may be represented by a matrix. (M)
A. T
Q. From the thermodynamic point of view, endothermic compounds should not exist. (C)
A. T [they are less stable than the reactants from which they are made]
Q. Lattice energy is the energy required to break up a solid compound into solid molecules. (C)
A. F [compounds should be broken into gaseous molecules]
7
ROUND 4
Q. I am a quantitative method in Chemistry and in scientific analysis in general. Some of my
lieutenants are crucibles, beakers and glass filter. To execute me well, you need to prepare a
solution and add another reagent to cause precipitation. Filtration and drying are also a necessity.
I am a reliable way of determining cheaply the amount of chloride in a solid sample. Who am I?
(C)
A. Gravimetric analysis
Q. I am a type of cell in plants. I always occur in pair. I am typically shaped like a bean, sausage
or dumbbell. My name signifies a protector or security. I regulate most of the water and air
entering the leaf through the stomata. Who am I? (B)
A. Guard cell
Q. I occur when temperature changes. Because of this, I have been used to measure and regulate
temperature. When I do occur, the sizes of objects change. Because of me, long bridges are made
in sections with a gap between them so that the bridge does not buckle on a hot day. Who am I?
(P)
A. Thermal expansion
Q. I am in the comparison business. I may be represented as a fraction. There are times I am in
my simplest form. For two numbers a and b I am the fraction . Mind you I am not a proportion
or a rate. Two of me are equivalent if their corresponding fractions in simplest form are the
same. Who am I? (M)
A. Ratio