A tent of height 77 dm is in the form of a right circular cylinder of diameter 36 m and height 44 dm surmounted by a right circular cone. Find the cost of the canvas at Rs. 3.50 per \[{{m}^{2}}\].\[\left( use\,\pi =\frac{22}{7} \right)\].
If \[a(x)=6{{x}^{4}}-3{{x}^{2}}-7x+4\] and \[b(y)=2{{y}^{4}}-3{{y}^{3}}-\,6y+3,\] then find the value of \[\left[ \frac{5}{2}.a\,(2)+\frac{7}{3}.b\,(3) \right]\].
If \[x=\frac{5-\sqrt{21}}{2},\] then find the value of \[\left( {{x}^{3}}\,+\,\frac{1}{{{x}^{3}}} \right)\,-\,5\,\left( {{x}^{2}}\,+\,\frac{1}{{{x}^{2}}} \right)\,+\,\left( x\,+\,\frac{1}{x} \right)\]
The height of right circular cone is 20 cm and the radius of its base in 4.5 cm. It is cut off through the mid-point of its height parallel to the base. Find the ratio of the volume of the upper part to that of the lower part.
A square of side a cm is cut from each corner of a square sheet of side 12 cm. The remaining sheet is folded to form a cuboid. If the minimum possible volume of the cuboid is M cubic cm & a is an integer, then M is
In the given figure PQ, QR and RP touches a given circle respectively at point L, M and N. If \[\angle \,LMN=60{}^\circ \]and\[\angle \,MNL=45{}^\circ ,\] then find the value of \[(\angle P-\angle Q+\angle R)\].
Three points P, Q, R lie on the side BC of triangle ABC such that BP = PQ = QR = RC. If G be centroid of\[\Delta \,ABC,\] then what is ratio of areas of \[\Delta \,PGR\] and \[\Delta \,ABC\].
The sides of a triangle measure 4 cm, 3.4 cm and 2.2 cm. Three circles are drawn with centres at A, B and C in such a way that each circle touches the other two. Then, the diameters of these circles would measure (in cm)
A owes B, Rs. 1573 payable \[1\frac{1}{2}\] years hence. Also B owes A, Rs. 1444.50 payable 6 months hence. If they want to settle the account forthwith, keeping 14 % as the rate of interest, then who should pay and how much?
Following are the marks obtained (Out of 50) by the students in a class.
Marks
Numbers of Students
10 - 20
8
20 - 30
X
30 - 40
9
40 - 50
6
One student from the class is selected at random. If the probability that his marks is 20 or more but less than 40, is \[\frac{5}{7},\] then the value of x is
The LCM & HCF of the polynomials \[p\,(x)=51{{x}^{2}}\,{{(x+3)}^{3}}\,{{(x-2)}^{2}}\]and \[q\,(x)=34x\,{{(x-1)}^{5}}\,{{(x-2)}^{3}}\] are respectively.
In a family of 6 members A, B, C, P, Q and R, father of B is elder than P. A is younger than only three members of the family. Q, wife of B is elder than C, who is not the youngest. P is second eldest. Who is third eldest among them?
Among 6 persons, Ravi is elder than Mohan but younger than Rohit. Arpit is elder than only 1 person. Sachin is younger than Deepak, who is third eldest among them while Mohan is not the youngest. If they are arranged in descending order of their age then how many persons are in between Rohit and Sachin?
Directions: Each of the questions below consists of a question and two statements numbered I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and answer.
Mohan is shorter than Kapil and David is taller than Manav. Who is the shortest among them?
Statements:
I. Kapil is taller than David.
II. Manav is taller than Kapil.
A)
The data in statement I alone is sufficient to answer the question while the data in statement II is not sufficient to answer the question.
doneclear
B)
The data in statement II alone is sufficient to answer the question while the data in statement I is not sufficient to answer the question.
doneclear
C)
The data in either statement I alone or statement II alone is sufficient to answer the question.
doneclear
D)
The data even in both the statements 1 and II together is not sufficient to answer the question.
doneclear
E)
The data in both the statements I and II together is necessarily to answer the question.
Directions: Each of the questions below consists of a question and two statements numbered I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and answer.
A, B, C, D and E are sitting around a circular table facing the centre. Who is on the immediate right of A?
Statements:
I. E is seated immediate left of B and E is not near to C.
II. Only D is seated between A and C.
A)
The data in statement I alone is sufficient to answer the question while the data in statement II is not sufficient to answer the question.
doneclear
B)
The data in statement II alone is sufficient to answer the question while the data in "statement I is not sufficient to answer the question.
doneclear
C)
The data in either statement I alone or statement II alone is sufficient to answer the question.
doneclear
D)
The data even in both the statements I and II together is not sufficient to answer the question.
doneclear
E)
The data in both the statements I and II together is necessarily to answer the question.
Directions: Each of the questions below consists of a question and two statements numbered I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and answer.
What is the code for 'GOLD' in the code language?
Statements:
I. 'ka dik fu' means 'gold and silver', 'do lu ka" means 'diamond and pearl' and 'lu fig fu' means "silver or diamond"
II. 'na pik la" means 'stone and pearl?, 'dik ni la? means "gold is stone' and 'dik la fa? means ?it is stone?
A)
The data in statement I alone is sufficient to answer the question while the data in statement II is not sufficient to answer the question.
doneclear
B)
The data in statement II alone is sufficient to answer the question while the data in statement I is not sufficient to answer the question.
doneclear
C)
The data in either statement I alone or statement II alone is sufficient to answer the question.
doneclear
D)
The data even in both statements I and statement II together is not sufficient to answer the question.
doneclear
E)
The data in both statements I and statement II together is necessarily to answer the question.
Express \[\frac{{{(4+\sqrt{15})}^{\frac{3}{2}}}+{{(4-\sqrt{15})}^{\frac{3}{2}}}}{{{(6+\sqrt{35})}^{\frac{3}{2}}}-{{(6-\sqrt{35})}^{\frac{3}{2}}}}\] in rational form.
