Maths Test Series – Test 1

The HCF and LCM of two numbers are 21 and 84 respectively. If the ratio of the two number is 1:4 then larger of the two numbers is

A plane divides a right circular cone into two parts of equal volume. If the plane is parallel to the base, then the ratio, in which the height of the cone is divided , is

If tan A =n tan B and Sin A =m sin B, then the value of cos^2A is

A manufacturer fixes his selling price at 33% over the cost of production. If cost of production gives up by 12% and manufacturer raises his selling price by 10% his percentage profit is

The numerical values of the volume and the area of the lateral surface of right circular cone are equal. If the height of the cone be h and radius be r, the value of 1/h^2+1/r^2 is

A sum of Rs. 7,930 is divided into 3 parts and given on loan at 5% simple interest to A,B and C for 2,3 and 4 years respectively. If the amounts of all three are equal after their respective periods of loan, then the A received a loan of

Quadrilateral ABCD is circumscribed about a circle. If the length of AB, BC, CD are 7cm, 8.5 cm and 9.2cm respectively, then the length (in cm) of DA is

The average of five consecutive positive  integer is n, if the next two integers are also included, the average of all these integers will

Let x be the least number , which when divided by 5,6,7 and 8 leaves remainder 3 in each case but when divided by 9 leaves no remainder. The sum of digits of x is

If  5cosᴓ+12sinᴓ =13, 0ᶱ<ᴓ<90ᶱ, then the value of sinᴓ is

If a shopkeeper wants to give 20% discount on a toy , he has to sell it for Rs. 300. If he sells it at Rs. 405 then his percent is

If  a-1/a-3 =5, then the value of (a-3)³-1/(a-3)³ is

The radii of two solid iron spheres are 1cm and 6cm respectively. A hollow sphere is made by melting the two spheres. If the external radius of the hollow sphere is 9cm then its thickness (in cm)

Three science classes A,B and C take a life science test. The average score of class A is 83. The average score of class B is 76. The average score of class C ps 85. The average score of class A and B is 79 and average score of B and C is 81. Then the average score of classes A,B and C is

If a+1/b=b+1/c=c+1/a, where a≠b≠c≠0, then the value of a²b²c² is

let x be the smallest number , which when added to 2000 makes the resulting number divisible by 12, 16, 18 and 21. The sum of the digits of x is

If a hemisphere is melted and four spheres of equal volume are made, the radius of each sphere will be equal to

A man purchases some oranges at the rate of 3 for Rs. 40 and the same quantity at 5 for Rs. 60. If he sells all at the rate of 3 for Rs. 50. Find his gain or loss percent (to the nearest interger)

In trapezium ABCD, AB||CD and AB=2CD, its diagonals intersect at O. if the area of ΔAOB=84cm², then the area of ΔCOD is equal to

The diameter of each wheel of a car is 70 cm. if each wheel rotates 400 times per min, then the sped of the car (in km/hr) is ( take Π=22/7)