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If sum of two polynomials is 5x^(2)+3x-1. If one of them is 3x^(3)-2x+7. Find the other.

A student is allowed to select at most n booksfrom a collection of (2n+1) books .If the total number of ways in which he can select books is 63 find the value of n.

If 3^n = 27 then 3^(n-1) is :

If the volume of a sphere , a cube , a tetrahedron and a octahedron be same then which of the following has maximum surface area ?

If D is such a point on the side BC of triangle ABC that AB/AC=BD/CD, then AD must be a/an :

What's the area of a triangle whose coordinates are (-7,4),(3,-2),(-1,-5) ?

In what proportion must a grocer mix wheat at rs 2.04 per kg and rs 2.88 per kg so as to make a mixture of worth rs2.52 per kg?

ABC is a triangle right angled at AAB = 6 cm and AC = 8 cm. Semi-circle are drawn outside the triangle having area x, y, z units, respectively on the sides AB, AC andBC.What is x + y - zequal to?

If k = (k_1, k_2, k_3, ...., k_n) in I and k_1k_2k_3 + k_2k_3k_4 + k_3k_4k_5 + .... + k_(n-2) k_(n-1) k_n = 0 Then minimum how many entities i.e.k_i (i = 1,2,3, .....) must be zero? If there are total 12 terms in the above expression :

Reena and Shaloo are partners in a business, Reena invests Rs, 35,000 for 8 months and Shaloo invests Rs. 42,000 for 10 months, out of a profit ofRs. 31,570, Reena's share is :

If AB is a chord of a circle, P and Q are two points on the circle different from A and B, then:

Four bells ring at the intervals of 5, 6, 8 and 9 seconds. All the bells ring simultaneously at same time. They will again ring simultaneously after.

AB is a straight line and O is a point on AB, if a line OC is drawn not coinciding with OA or OB, then angle AOC and angle BOC are

If a /b = c/d = 3/2, then(13 a - 111c)/(13 b - 111d ) = ?

How many 3's you have to write down while writing the numbers from 3301 to 3401 ?

(x-(1)/(x))^(2)+8(x+(1)/(x))=29, x ne0:

The number of two digit prime number which remain prime even on inverting the position of its digits is :

The value of x for which the unit digits of the following two expression (1 + 2 + 3 + 4 + 7)^(x^2 + x) and (11 xx 11 xx 13)^(x) are same for x > 0.

A milk tank is in the form of a cylinder whose radius is 1.5 m and length is 7 m. Find the quantity of milk in litres that can be stored in the tank.

ABC is a right angled triangle AB = 3 cm, BC = 5 cm and AC = 4 cm, then the inradius of the circle is :

The value of log_sqrt(6)216 is :

HCF of 2/3, 4/5 and 6/7 is:

Speed of a man is 90 km/h after every 24 minutes he reduces his speed by 5 km/h. If the has to travel 160 kms. Find out the time taken to cover this distance.

Rs. 960 is received as an interest in 5 years at Rs. 3600, while some part of it is given on 4% rateand remaining part is given at 6% rate. Find both part.

Approximately how many candidates appearing from Kolkata in 2004 qualified int eh competitive examination ?

Which of the following function is odd?

Two circles touch each other internally. Their radii are 2 cm and 3 cm. The biggest chord of the greater circle which is out side the inner circle is of length

Find the coordinates of the circum centre of the triangle whose vertices are(8,6) , (8,-2) and (2,-2) :

The sum of three numbers is 98. If the ratio of the first to second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is:

If p,q,r are such that q-p = r-q = 2 for every p,q,r in I^+, then the least possible value of (p+q)(q+r)(r+p) is :

Area of regular hexagon with side 'a' is

A can do a piece of work in 10 days, B in 15 days. They work together for 5 days, the rest of the work is finished by C in two more days. If they get ₹3000 as wages for the whole work, what are the daily wages A, B and C respectively (in ₹ ) :

L canrun1 kmin10 minwhileM canrun it in12min. Howmany metresstartcan LgiveM in a kmrace, sothatthe racemayend ina dead heat ?

Triangle ABC is such that AB=9 cm, BC = 6cm,AC = 7.5 cm. Triangle DEF is similar to DeltaABC. If EF = 12 cm then DE is :

The parallel sides of a trapezium are a and b respectively. The line joining the midpoints of its nonparallel sides will be

In the quadratic equation2x^2+7x+3=0 then sum of roots is

Answer the following questions independently of each other Find the total number of non-negative integral solutions of a+b+c=30.

Average of five numbers is 20. If each number is multiplied by 2, what will be the new average?

ABCD is a square and AOB is an equilateral triangle. What is the value of angleDOC?

In a certain school, the ratio of boys to girls is 7 : 5. If there are 2400 students in the school, then how many girls are there in the school?

The compound interest on a certain sum for 2 years at 10% per annum is Rs. 1155. The simple interest on the same sum for double the time at half the rate percent per annum is ?

A sum ofmoney lent at compound interest for 2 years at 20% per annum would fetch Rs482 more, if the interest was payable half-yearly than if it was payableannually. The sum is:(a) Rs10,000 (b) Rs 20,000 (c) Rs 40,000 (d) Rs 50,000

In what time will Rs.1000 become Rs.1331 at 10% per annum compounded annually?

If alpha is acute angle and 2sin^(2)alpha+15cos^(2)alpha=7, then cotalpha equal to

If m^(2)-4m+1=0, then the value of (m^(3)+(1)/(m^(3))) is :

How manyevennumbersless than10,000canbewiththe digits 3,5,7,8,9,withoutanyrepetition