If (x-1/x)2 = 3, then the value of x6 + 1/x6 equals
If x = √5+1/√5-1 and y = √5-1/√5+1 , the value
of x2+xy+y2/x2-xy+y2 is
If x2 + y2+ 2x + 1 = 0, then the value of x31 + y35 is
If a+b+c = 0 then the value of
1/(a+b)(b+c) + 1/(b+c)(c+a) + 1/(c+a)(a+b) is
The simplified value of
(1-2xy/x2+y2) ÷ (x3-y3/x-y - 3xy) is
A right circular cylinder having diameter 21 cm & height 38 cm is full of ice cream. The ice cream is to be filled in cones of height 12 cm and diameter 7 cm having a hemispherical shape on the top. The number of such cones to be filled with ice cream is
The diameter of a sphere is twice the diameter of another sphere. The surface area of the first sphere is equal to the volume of the second sphere. The magnitude of the radius of the fist sphere is
The lateral surface area of frustum of a right circular cone, if the area of its base is 16∏ cm2 and the diameter of circular upper surface is 4 cm and slant height 6 cm, will be
A solid cylinder has the total surface area 231 sq. cm. If its curved surface area is 2/3 of the total surface area, then the volume of the cylinder is
A rectangular water tank is 80 m x 40 m. Water flows into it through a pipe of 40 sq.cm at the opening at a speed of 10 km/hr. The water level will rise in the tank in half an hour is
A hemispherical bowl of internal radius 9 cm, contains a liquid. This liquid is to filled into small cylindrical bottles of diameter 3 cm and height 4 cm. Then the number of bottles necessary to empty the bowl is
The amount of concrete required to build a concrete cylindrical pillar whose base has a perimeter 8.8 metre and curved surface area 17.6 sq. metre, is (Take n = 22/7)
Four circles of equal radii are described about the four corners of a square so that each touches two of the other cirlces. If each side of the square is 140 cm then area of the space enclosed between the circumference of the circle is (take n = 22/7)
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 m2 then the width of the road is
A cylindrical pencil of diameter 1.2 cm has one of its end sharpened into a conical shape of height 1.4 cm. The volume of the material removed is
If the radius of a right circular cylinder open at both the ends, is decreased by 25% and the height of the cylinder is increased by 25%. Then the curved surface area of the cylinder thus formed
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hour completes one round in 8 minutes, then the area of the park is
If the areas of three adjacent faces of a rectangular box which meet in a corner are 12 cm2, 15 cm2, and 20 cm2 respectively. Then the volume of the box is
A hollow cylindrical tube 20 cm long is made of iron and its external and internal diameters are 8 cm and 6 cm respectively. The volume (in cubic cm) of iron used in making the tube is (Take n = 22/7)
If a sum of money becomes 4000 in 2 yrs and 5500 in 4 yrs 6 months at the same rate of simple interest per annum. Then the rate of simple interest is
A man invested a sum of money at compound interest. It amounted to Rs. 2420 in 2 years and to Rs. 2662 in 3 years. Find the sum.
If A borrowed Rs. P at x% and B borrowed Rs. Q (>P) at y% per annum at simple interest at the same time, then the amount of their debts will be equal after
The compound interest on Rs. 30000 at 7% per annum for n years is Rs. 4347. The value of n is
A train 'B' speeding with 100 kmph crosses another train C, running in the same direction, in 2 mins. If the length of the train B and C b 150 m and 250m respectively, what is the speed of the train C (in kmph)
A man travels 450 km to his home partly by train and partly by car. He takes 8 hrs 40 mins if he travels 240 km by train and rest by car. He takes 20 mins more if he travels 180 km by train and the rest by car. The speed of the car in km/hr is
A car can finish a certain journey in 10 hours at a speed of 42 kmph. In order to cover the same distance in 7 hours, the speed of the car (km/h) must be increased by
On a river, Q is the mid-point between two points P and R on the same bank of the river. A boat can go from P to Q and back in 12 hours, and from P to R in 16 hours 40 min. How long would it take to go from R to P
A man spends 75% of his income. His income increases by 20% and his expenditure also increases by 10%. Find the percentage increase in his savings.
In an examination 73% of the candidates passed in quantitative aptitude test, 70% passed in General awareness and 64% passed in both. If 6300 failed in both subjects the total number of examinees were
A businessman's earning increase by 25% in one year but decreases by 4% in the next. Going by this pattern, after 5 years, his total earnings would be Rs. 72000. What is his present earning