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A man had a certain amount with him. He spent 20% of that to buy an article and 5% of the remaining on the transport. Then he gifted Rs. 120. If he is left with Rs. 1400, the amount he spent on transport is:

(a) Rs. 380 (b) Rs. 61 (c) Rs. 95 (d) Rs. 80 Solution: Let x be the amount with the man. He spent 20% of that to buy an article 20%x =... View Article

The degree of a monomial x²y²z² is

(a) 6 (b) 2 (c) 3 (d) 8 Solution: The degree of a monomial is the sum of the exponents of all its variables. Given... View Article

Consider the sequence 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, …. Then 1025th term is

(A) 29 (B) 210 (C) 211 (D) 28 Solution: Let m = Number of times a number n is repeated in the given sequence {n} Given... View Article

Find the locus of the middle point of the portion of the line x cos α + y sin α = p which is intercepted between the coordinate axes is, given that p remains constant.

(a) 1/x2 + 1/y2 = 1/p2 (b) 1/x2 + 1/y2 = 1/2p2 (c) 1/x2 + 1/y2 = 4/p2 (d) none of these Solution: Given line is x cos α + y sin α = p At... View Article

In a group of 15 people, 7 read French, 8 read English while 3 of them read none of them. How many read French and English both?

(a) 3 (b) 4 (c) 5 (d) 6 Solution: Let F denote the number of people who read French and E denote the number of people who read English. Let... View Article

There are three clubs A, B, C in a town with 40, 50, 60 members respectively 10 people are members of all the three clubs, 70 members belong to only one club. A member is randomly selected. Find the probability that he has a membership of exactly two clubs.

Solution: From the venn diagram a+e+g+d = 40 ..(i) b+e+g+f = 50 ..(ii) c+d+g+f = 60 ..(iii) g = 10 a+b+c = 70 Add (i), (ii) and (iii)... View Article

Number of 5 digit numbers which are divisible by 5 and each number containing the digit 5, digits being all different is equal to k(4!), then the value of k is

(a) 84 (b) 168 (c) 188 (d) 208 Solution: For the number to be divisible by 5, the digit at units place should be 5 or... View Article

Which of the following statements is false?

(a) All isosceles triangles are similar. (b) All equilateral triangles are similar. (c) All circles are similar. (d) None of the above.... View Article

A shopkeeper bought 10 fans for Rs.1250 each. He sold 6 fans for Rs.1375 each and remaining 4 fans for Rs.1200 each. Find his total loss or profit.

Solution: The cost price of 10 fans = 1250×10 = Rs.12500 The selling price of 6 fans = 6×1375 = Rs.8250 The selling price... View Article

The price of petrol was Rs. 65. The price was first increased by 4% and then reduced by 5%. What is the price of petrol now?

Solution: Price of petrol = Rs. 65 4% of 65 = (4/100)×65 = 2.6 Increased price = 65+2.6 = 67.6 Now price is reduced by 5%.... View Article

Tangents are drawn to a unit circle with centre at the origin from each point on the line 2x + y = 4. Then the equation to the locus of the middle point of the chord of contact is

Solution: Equation of unit circle with centre at origin is x2+y2 = 1. Given line, L: 2x+y = 4 Let A(x1, y1) be a point on the line L. Then... View Article

Surface tension of water is 0.072N/m. The excess pressure inside a water drop of a diameter 1.2 mm is:

a) 240 N/m2 b) 24 N/m2 c) 0.06 N/m2 d) 60 N/m2 Answer: b) 24 N/m2 Solution: Given : S= 0.072 N/m Diameter of... View Article

A small block of mass m is kept on rough inclined surface of inclination θ fixed in an elevator. The elevator goes up with a uniform velocity v and the block does not slide on the wedge. The work done by the force of friction on the block in time t will be

a) zero b) mgvt cos2θ c) mgvt sin2θ d) mgvt sin2θ Answer: c) mgvt sin2θ Solution: Wf =fsinθS... View Article

Stationary waves of frequency 200 Hz are formed in air. If the velocity of the wave is 360 m/s, the shortest distance between two antinodes is<

a) 1.8 m b) 3.6 m c) 0.9 m d) 0.45 m Answer: c) 0.9 m Solution: The shortest distance between two antinodes is equal to half of... View Article

What happens to the atomic number of an element when emits a β⁺ particle.

a) decrease by 1 b) increase by 1 c) remains unchanged d) becomes 1 Answer: a) decrease by 1 Solution: The atomic number decreases by... View Article

The time period of Jupiter is 11.6 years. How far is Jupiter from the Sun? The distance of the earth from the sun is 1.5 x 10¹¹ m.

a) 7.68 x 1011 m b) 9 x 1011 m c) 68 x 1011 m d) 8 x 1011 m Answer: a) 7.68 x 1011 m Solution: Kepler's relation (Tj2)/(Te2) =... View Article

A balloon is filled with hydrogen at room temperature, it will burst if pressure exceeds 0.2 bar. If at 1 bar pressure the gas occupies 2.27 L volume, up to what volume can the balloon be expanded?

Answer: 11.35 LSolution: According to Boyle's lawP1V1 = P2V2 V2 = (1 bar x 2.27 L)/0.2 bar = 11. 35 L Since the balloon bursts at 0.2bar... View Article

Power factor may be equal to 1 for :

a) pure inductor b) pure capacitor c) pure resistor d) an LCR circuit Answer: d) an LCR circuit Solution:... View Article

A potential difference of 20 kV is applied across an X-ray tube. The minimum wavelength of X-rays generated is ____________ À

a) 1.621 À b) 0.621 À c) 2.621 À d) 5.621 À Answer: b)... View Article

An object have a velocity [latex]overrightarrow{v}=(widehat{i}+widehat{j})[/latex] m/s at time t=0. It undergoes a constant acceleration [latex]a=(hat{i}-2hat{j})[/latex] ms⁻² for 4 second. The magnitude of velocity at the end of 4 s is:

a) √74 m/s b) √80 m/s c) √97 m/s d) √47 m/s Answer: a) √74 m/s Solution: Intial... View Article