Let x = 224 and, y = 322. If the highest common factor of 23x and axy is divisible by x and y, then what can be the possible value of a? a)            18 b)            16 c)            19 d)            20 Sol: Given:  x = 224, y = 322  Calculation:  HCF(Highest Common Factor) of a and b is the ...

If sin2θ=cos3θ, then the value of (cot2θ-cot6θ) is: a) 1 b) -1 c) 2 d) -2 Sol:

In the given figure ABCD is square with side 17 cm. find the Area of Shaded Region if the radius of all the circle cut is 17/2 a) 144.5cm² b) 151.2cm² c) 147.4cm² d) 285cm² Sol: Logically we can put sides cut of shaded portion in unshaded circle cut because the base is same. ...

The ratio of milk and water in a mixture is 3 : 5 We added 10 Lt water to the mixture then ratio becomes 3 : 7. Find the initial quantity of milk? a)            15 Lt b)            12 Lt c)            20 Lt d)            17 Lt Sol:

In ∆ PQR, ∠Q= 90°, PQ = 8 cm and QR = 15 cm. The bisector of ∠P of meets QR at D. What is the length of PD? Sol:

A shopkeeper increases the selling price of an article by 15%. After increasing the selling price, he noticed that the profit percentage changed from 5% to 15%. The percentage increase in the cost price is. a)            4% ...

The base of a right Prizm is a hexagon with each sides 6 cm. If its volume 972cm², then its lateral surface area (in cm²) is a) 242 b) 248 c) 266 d) 216√3 Sol:

A shopkeeper claims to sell his articles at 20 per kg which cost him 23 per kg. But while selling, he uses a false weight and gives only 800 gm instead of 1 kg. What is his profit percentage? Sol: Shopkeeper claims to sell at Rs. 20 per kg,  He buys it for Rs. 23 per kg  Actual ...

If a2+b2+c2 + 130/9 = (5a+6c  -  14/3b) -25/4, then is: a) -2 b) 2√3 c) -3 d) -7  Sol:

If the sum of the diagonals of a rhombus is L and the perimeter is 4P, find the area of the rhombus? Sol: Sum of the diagonals of a rhombus is L  Perimeter is 4P

if a : b : : 2 : 3, and b : c : : 4 : 5 then find a : b : C. a) 8 : 12 : 15 b) 4 : 3 : 5 c) 4 : 6 : 9 d) 2 : 4 : 7 Sol: a:b=2:3 b:c=4:5 a:b:c=8:12:15

A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A’s share is Rs. 855. The total profit is. a) 1500 Rs. b) 1350 Rs. c) 1425 Rs. d) None of these Sol: