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Find 1% of 1 hour.

Solution: 1 hour = 60 min = 3600 sec 1% of 3600 = (1/100)3600 = 36 sec So 1% of 1 hour is 36 seconds.... View Article

How many vertices does an angle have?

Solution: An angle can be defined as the figure formed by two rays meeting at a common endpoint. The point where the arms of the angle meet is... View Article

In a division sum, we have dividend = 199, quotient = 16 and remainder = 7. The divisor is

(a) 11 (b) 12 (c) 23 (d) none of these Solution: We know dividend = (Divisor × Quotient) + remainder Given dividend = 199 quotient =... View Article

The total number of injective mappings from a set with m elements to a set with n elements, m ≤ n, is

(a) mn (b) nm (c) n!/(n-m)! (d) n! Solution: Let A= {a1, a2 ...am} B = {b1, b2 ...bn} m ≤ n Given f: A → B is injective... View Article

A shopkeeper purchased 200 bulbs for Rs.10 each. However, 5 bulbs were fused and put them into scrap. The remaining were sold at Rs.12 each. Find the gain or loss percent.

Solution: The cost price of 200 bulbs = 200×10 = Rs. 2000 5 bulbs were fused. Remaining 195 bulbs are there. The remaining were... View Article

A dealer sells a toy for Rs. 24 and gains as much percent as the cost price of the toy. Find the cost price of the toy.

Solution: Given selling price, SP = Rs. 24 Dealer gains as much percent as the cost price of the article. Let cost price be x. So gain %... View Article

Prove that : sin 2x + 2 sin 4x + sin 6x = 4 cos²x sin 4x

Solution: LHS = sin 2x + 2 sin 4x + sin 6x = (sin 6x + sin 2x) + 2 sin 4x …(i) We know sin A + sin B = 2 sin (A+B)/2 cos (A-B)/2 (i)... View Article

If the area of a rectangle is equal to the area of a square and the length of the rectangle is equal to the perimeter of the square, then the breadth of the rectangle is

(a) side/2 (b) side2/2 (c) side/4 (d) side/3 Solution: Let l be length and b be the breadth of the rectangle. Area of rectangle = l×b... View Article

If G be the centroid of a triangle ABC, prove that AB²+ BC² + AC² = 3(GA² + GB² + GC²).

Solution: Let A (x1, y1), B(x2, y2), and C(x3, y3) be the vertices of ∆ABC. Without the loss of Generality, assume the centroid of the... View Article

Find the condition for the line x cos α + y sin α = p to be a tangent to the ellipse x²/a²+y²/b²= 1

Solution: Given equation of line is x cos α + y sin α = p => y sin α = -x cos α + p => y = -x (cos α/sin... View Article

A shopkeeper sells 25 articles at Rs.45 per article after giving 10% discount and earns 50% profit. If the discount is not given the profit gained is

(a) 60% (b) 66% (c) (d) none of these Solution: Selling price = Rs. 45 Let marked price be x. So 90% x = 45 => 90x/100 = 45 => x =... View Article

The equation of the plane containing the two lines (x-1)/2 = (y+1)/-1 = z/3 and x/-1= (y-2)/3 = (z+1)/-1 is

(a) 8x + y - 5z - 7 = 0 (b) 8x + y + 5z - 7 = 0 (c) 8x - y - 5z - 7 = 0 (d) none of these Solution: Let b1 and b2 be the direction vectors... View Article

The area of a right-angled isosceles triangle whose hypotenuse is equal to 270 m is :

(A) 19000 m2 (B) 18225 m2 (C) 17256 m2 (D) 18325 m2 Solution: Given hypotenuse = 270 m Let ABC be a triangle with hypotenuse AC. An... View Article

What is the Past Participle form of the verb ‘sow’?

a) sow b) sowed c) sowden d) sown Answer: The past participle of the verb sow is sown. Hence option d is the answer.... View Article

In the question below is given a group of letters followed by four combinations of digits/symbols numbered (a), (b), (c), and (d)

You have to find out which of the combinations correctly represents the group of letters based on the coding system and mark the number of that... View Article

A line intersects the Y-axis and X-axis at the points P and Q, respectively. If (2, – 5) is the mid-point of PQ, then the coordinates of P and Q are, respectively

(a) (0,-5) and (2, 0) (b) (0, 10) and (- 4, 0) (c) (0, 4) and (- 10, 0) (d) (0, - 10) and (4, 0) Solution: Let P(0, y) and Q(x, 0) be... View Article

Find the slant height of a frustum cone whose top radius is 12 m and bottom radius is 10 m. The height of the cone is 13 m.

(A) 13.15 m (B) 12.15 m (C) 10.15 m (D) 14.25 m Solution: Height of the cone, h = 13 m Bottom radius, r1 = 10 m Top radius, r2 = 12 m... View Article