Convert 192 to binary.
Solution: Given number is 192. To convert a decimal number to binary, we divide it successively by 2, until quotient... View Article
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Factors of 675
Solution: To find the factors of 675, we have to find the list of numbers that would divide 675 without... View Article
A, P, R, X, S and Z are sitting in a row. S and Z are in the centre. A and P are at the ends. R is sitting to the left of A. Who is to the right of P?
(a) A (b) X (c) S (d) Z Solution: Given S and Z are in the centre. A and P... View Article
2 power 24 equals
Solution: 224 = 210× 210 × 24 = 1024 × 1024 × 16 = 16777216 Hence 2 power 24 equals... View Article
Vertex of a quadratic equation
Solution: The vertex of a quadratic equation of parabola is the highest or the lowest point of the quadratic equation.... View Article
22 in binary is equal to
Solution: Given number is 22. To convert a decimal number to binary, we divide it successively by 2, until quotient... View Article
In a group of 6 boys and 4 girls, four children are to be selected. In how many ways can they be selected such that at least one boy should be there
(a) 109 (b) 128 (c) 138 (d) 209 Solution: Total number of children = 6+4 = 10 Out of 10,... View Article
In figure below, AB and CD are two diameters of a circle (with centre O) perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region.
(a) 66.5 cm2 (b) 66 cm2 (c) 65 cm2 (d) 67.5 cm2 Solution: Area of shaded region = area of... View Article
To conduct sports day activities, in your rectangular-shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1 m each.
To conduct sports day activities, in your rectangular-shaped school ground ABCD, lines have been drawn with chalk powder at a... View Article
What is 1 mod 3?
Solution: Modulo is the operation of finding the remainder when you divide two numbers. We divide the dividend by the... View Article
Locus of trisection point of any arbitrary double ordinate of the parabola x2 = 4by, is
(a) 9x2 = 4by (b) 3x2 = 2by (c) 9x2 = by (d) 9x2 = 2by Solution: Given x2 =... View Article
At each point (x, y) of a curve, the intercept of the tangent on the y-axis is equal to 2xy2. Find the equation of the curve.
(a) (x/y) = x2+c (b) y/x = y2+c (c) x/y = y2+c (d) y/x = x2+c Solution: Equation of the... View Article
In the figure PQ, PR and BC are the tangents to the circle. BC touches the circle at X. If PQ = 7 cm, find the perimeter of ∆PBC.
Solution: Given PQ = 7 cm We know that the tangents from an external point to a circle are equal.... View Article
A Carnot engine absorbs 2000 J of heat energy from a reservoir at 1270C and rejects 800 J of heat energy during each cycle. The efficiency of engine and temperature of sink will be respectively
Answer: Solution: Efficiency of Carnot cycle is η = (Q1 – Q2)/Q1 = [(2000 – 800)/2000] x 100 = [1200/2000] x... View Article
A particle of mass 0.1kg executes SHM under a force F=(−10x)N. The speed of particles at the mean position is 6m/s. Then amplitude of oscillations is
a) 0.6 m b) 0.2 m c) 0.4 m d) 0.1 m Answer: a) 0.6 m Solution: From conservation fo mechanical... View Article
Effect of diffraction can be neglected when the distance between screen and lens/slit is
a) greater than a2/λ b) less than or equal to a2/λ c) any value greater than 50λ d) more than 10... View Article
What will be the input of A and B for Boolean expression
What will be the input of A and B for Boolean expression \(\begin{array}{l}(\bar{A+B})(\bar{A.B})\end{array} \) a) 0,0 b) 0,1 c) 1,0... View Article
An AND gate is followed by a NOT gate in series. With two inputs A & B, the Boolean expression for the output Y will be:
a) A.B b) A + B c) \(\begin{array}{l}\bar{A+B}\end{array} \) d) \(\begin{array}{l}\bar{A.B}\end{array} \) Answer: d) \(\begin{array}{l}\bar{A.B}\end{array} \) Solution: The Boolean expression for AND gate is... View Article
ABC is an equilateral triangle. Charges +q are placed at each corner as shown in the figure. The electric intensity at centre O will be
a) (1/4πε0)(q/r) b) (1/4πε0)(q/r2) c) (1/4πε0)(3q/r2) d) zero Answer: d) zero Solution: E = (1/4πε0)(q/r2) EA = EB = EC \(\begin{array}{l}E_{R}= \sqrt{E_{B}^{2}+E_{C}^{2}+2E_{B}E_{C}cos120^{0}}\end{array}... View Article
Three uniform spheres each having a mass M and radius a are kept in such a way that each touches the other two. Find the magnitude of the gravitational force on any of the spheres due to the other two
Answer: (√3/4)(GM2/a2] Solution: F1 = F2 = GM2/(2a)2 Fnet = F1cos 300 + F2cos300 = (√3/2) x 2 x GM2/(2a)2 = √3GM2/4a2
