Find the smallest number by which 6300 must be multiplied to make it a perfect square

A and B invest ₹42,000 and 56,000 respectively, in a business. At the end of the year they make a profit of 287,220. Find B's share in the profit.

If sec 44 cosec (3A-50°), where 44 and 34 are acute angles, find the value of A + 75.

If 10% of 24% of x is 240, then x = ?

In how many years will a sum of ₹10,000 become ₹13,310 at 10% compound interest per annum, compounded annually?

If 3x - 2y = 10 and xy = 11, the value of 27x³ - 8y³ is_____

Two angles are complementary. The larger angle is 6º less than thrice the measure of the smaller angle. What is the measure of the larger angle?

Find the mode of the data 2, 2, 3, 5, 15, 15, 15, 20, 21, 23, 25, 15, 23, 25.

Two pipes X and Y can fill a cistern in 21 hours and 24 hours, respectively. The pipes are opened simultaneously and it is found that due to a leakage in the bottom it takes 48 minutes more to fill the cistern. When the cistern is full, in how much time will the leak empty it if no pipe is open during that time?

How many seconds will a boy take to run one complete round around a square field of side 38 metres, if he runs at a speed of 6 km/h?

If x²+2x+9 = (x-2)(x-3), then the resultant equation is:

Which of the following pairs of numbers are co-primes?

Two wires A and B are made of same material and have the same length but different cross-sectional areas. If the resistance of wire A is 9 times the resistance of wire B. the ratio of the radius of wire A to that of wire B is:

A man buys 15 identical articles for a total of 15. If he sells each of them for 21.23, then his profit percentage is:

If each interior angle of a regular polygon is 135°, then the number of sides that polygon has is:

Which of the following is the greatest number that divides 72 and 119 and leaves 3 and 4 as respective remainders?

A vendor sold 25 laptops at a profit of 12% and 15 laptops at a profit of 20%. If he had sold all the 40 laptops at a profit of 18%, his profit would have increased by 230,000. What is the cost price of each laptop, if the cost price of all the 40. laptops is the same?

If AB = x + 3, BC = 2x and AC = 4x-5, then for what value of 'x' does B lie on AC?

The diagonal and one side of a rectangular plot are 65 m and 63 m, respectively. What is the perimeter of the rectangular plot?

A class of 30 students appeared in a test. The average score of 12 students is 80, and that of the rest is 75. What is the average score of the class?

The fraction equivalent to 0.474747... is:

If two parallel lines are intersected by a transversal, then which of the options below is not necessarily correct?

Find the area of a triangle whose sides are 12 m, 14 m and 16 m.

If the difference between two numbers is 52 and they are in the ratio 7: 3, then find the greater of the two numbers.

The value of 0.0486÷ 0.002 =

A motor car starts with a speed of 60 km/h and increases its speed after every two hours by 15 km/h. In how much time will it cover a distance of 360 km?

A truck travels at a speed of 60 km/h from city P to city Q and returns to city P by the same route at a speed of 100 km/h. What is the average speed of the truck for the given journey?

The value of $5^3 \times 5^4 \times 5^2 =$ ?

Two boxes have chocolates in the ratio 7: 5. If the difference in the number of chocolates is 28. find the number of chocolates in the box with larger numbers

If three numbers are in the ratio 5:6:8 and the sum of their squares is 1250, then the product of those numbers is:

If x and y are the two digits of the number 115 xy such that this number is divisible by 90, then the value of x + y is:

A television costs ₹35,000 less than a printer. If the cost of the printer is twice the cost of the television, then the cost of the television is:

The area (in square units) of the quadrilateral ABCD, formed by the vertices A (0, -2), B (2, 1), C (0, 4), and D (-2, 1) is:

The value of $\frac{{{{\sin }^2}{}52^\circ + 2 + {{\sin }^2}{{ }}38^\circ }}{{4{}{{\cos }^2}43^\circ - 5 + 4{{\cos }^2}{{}}47^\circ }}$

Find the value of Sec (-30^o)+tan(-60^o)

If cot A = tan(2A - 45°), A is an acute angle then tan A is equal to:

If tanθ + cotθ = 2 and θ is acute, then the value of tan¹⁰⁰θ +cot¹⁰⁰θ is equal to:

(tan57° + cot37°)/ (tan33° + cot53° ) =?

If $tan\theta=\frac{3}{4}$ and θ is acute, then what is the value of sin θ

Find the value of

$Sin0^o\times{sin1^o}\times{sin2^o}\times{sin3^0}...............Sin89^0 is$

If tan 45o + sec 60o = x, fine the value of x.

Cos1^o.cos2^o.cos3^o.......................cos100^o is equal to

Find the value of tan 8° tan 22° cot 60° tan 68° tan 82°

What is the value of cos[(180° – θ)/2].cos[(180° – 9θ)/2] + sin[(180° – 3θ)/2].sin[(180° – 13θ)/2]?

The HCF of any set of 10 co-prime numbers is always

If 9:12:: 12: x, and 28: 42:: 42: y, then the value of 2x + y is:

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