A compass needle just above a wire in which electrons are moving towards east, will point:
a. South b. North c. East d. West Solution: a. South A compass needle points towards the magnetic south pole.
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A beam of parallel rays is brought to focus by a plano-convex lens. A thin concave lens of the same focal length is joined to the first lens. The effect of this is:
a. The focal point shifts towards the lens by a small distance. b. The focus shifts to infinity. c. The... View Article
If a rubber cube is taken 50m deep in a lake its volume reduces by 0.5% the bulk modulus of a rubber is nearly
Solution: \(\begin{array}{l}B=P/dv/v=\frac{10^{5}+1000*10*50}{0.005}=1.2*10*8\end{array} \)=96m
The ratio of kinetic energy of a planet at perigee and apogee during its motion around the sun in an elliptical orbit of eccentricity e is?
<strong>Solution:</strong> Consider semi major axis = a e= eccentricity distance of apogee is \(\begin{array}{l}r_{a}=a(1+e)\end{array} \) distance of perigee is \(\begin{array}{l}r_{p}=a(1-e)\(\begin{array}{l}... View Article
The value of ∠QSR is
Solution: PQ is parallel to RF. Given ∠PQS = 600 So ∠RSE = 600 (corresponding angles are equal) ∠QSR... View Article
Convert the given statement into expression form and simplify: one-fifth of a number minus 4 gives 3.
Solution: Let x be the number. One-fifth of the number = (⅕)×x = x/5 One-fifth of a number minus 4... View Article
The pairs of natural numbers whose least common multiple is 78 and the greatest common divisor is 13 are:
Solution: Let x and y be the numbers. We know LCM × GCD = product of two numbers => 78×13... View Article
Convert 5.523333 into fraction.
Solution: To convert a decimal to a fraction, count the number of digits after the decimal point in the given... View Article
If n and r are integers such that 1≤r≤n, then n. C(n-1, r-1) =
(a) C(n, r) (b) r. C(n, r) (c) n. C(n, r) (d) none of these Solution: We know C(n, r)... View Article
If a vector A = 2i + 2j + 3k and B = 3i + 6j + nk are perpendicular to each other, then the value of n is
Solution: If two vectors are perpendicular, then the dot product is zero. A = 2i + 2j + 3k B... View Article
The angles A, B, C of a triangle ABC are in A. P and a : b = 1: √3 . If c = 4 cm, then the area (in sq. cm) of this triangle is
Solution: Given that the angles A, B, C of a triangle ABC are in A. P. => 2B = A+C... View Article
How many factors of 720 are divisible by 4 but not by 16?
Solution: Factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24,... View Article
2.12976 – Convert into fraction
Solution: To convert a decimal to a fraction, count the number of digits after the decimal point in the given... View Article
The sum of the series nC1 + nC2 + nC3 + … + nCn equals
(a) 2n-1 (b) 2n (c) 2n+1 (d) none of these Solution: We know that (1+x)n = nC0x0 + nC1x1 +... View Article
The area of an equilateral triangle having a side length equal to √3/4 cm is
(a) 2/27 (b) 2/15 (c) 3√3/64 (d) 3/14 Solution: Given side length, a = √3/4 Area of equilateral triangle =... View Article
How to rotate a figure 90 degrees clockwise about a point?
Solution: The rotation is a type of transformation in Maths is the circular motion of an object around a centre... View Article
A = P(1 + r/n)nt : Compound Interest Formula
Solution: Compound interest formula is given by A = P(1 + r/n)nt . The compound interest is calculated, after calculating... View Article
Simplify square root of 32
Solution: The given number is 32. We can express 32 as the product of prime numbers. 32 = 2×2×2×2×2 =... View Article
Use of mathematics in daily life.
Mathematics has great importance in everyday life. Maths help us do many things that are important in our everyday lives.... View Article
An examples of a perfect square is: A.729 B.69 C.623
Answer: A.729 729 = 27 x 27 = 272
