Let 0 < x < 1. Then the correct inequality is
Three bells ring at interval of 36 seconds, 40 seconds and 48 seconds respectively. They start ringing together at a particular time. They will ring together after every
If the sum of the digits of a three digit number is subtracted from that number, then it will always be divisible by
Which of the following is correct
The greater of the two numbers whose product is 900 and sum exceeds their difference by 30 is
The smallest fraction, which should be added to the sum of
2 1/2, 3 1/3, 4 1/4 and 5 1/5 to make the result a whole number, is
Find the cube root of (-13824)
OR
Find the value of 3√-13824
The sum of three positive numbers is 18 and their product is 162, If the sum of two numbers is equal to the third then the sum of squares of the number is
The sum of three consecutive even numbers is 28 more than the average of these three numbers. Then the smallest of these three numbers is
In a division sum, the divisor 'd' is 10 times the quotient 'q' and 5 times the remainder 'r'. If r = 46, the dividend will be
A man can do a piece of work in 30 hours. If he works with his son then the same piece of work is finished in 20 hours. If the son works alone he can do the work in
A water tap fills a tub in 'p' hours and a sink at the bottom empties it in 'q' hours. If p<q and both tap and sink are open, the tank is filled in 'r' hours; then
John does 1/2 piece of work in 3 hours, Joe does 1/4 of the remaining work in 1 hour and George finishes remaining work in 5 hours. How long would it have taken the three working together to do the work
A does 2/5 of a work in 9 days. Then B joined him and they together completed the remaining work in 6 days. B alone can finish the whole work in
The daily wages of A and B respectively are Rs. 3.50 and 2.50. When A finishes a certain work, he gets a total wage of Rs. 63. When B does the same work, he gets a total wage Rs. 75. If both of them do it together what is the cost of the work
A man does double the work done by a boy in the same time. The number of days that 3 men and 4 boys will take to finish a work which can be done by 10 men in 8 days is
The marked price of an article is 30% higher than the cost price. If a trader sells the articles allowing 10% discount to customer, then the gain percent will be
A merchant marked the price of an article by increasing its production cost by 40%. Now he allows 20% discount and gets a profit of Rs. 48 after selling it. The production cost is
A watch dealer pays 10 % customs duty on a watch which costs Rs. 500 abroad. He desires to make a profit of 20% after giving a discount of 25% to the buyer. The marked price should be
A shopkeeper allows 20% discount on his advertised price and to make a profit of 25% on his outlay. What is the advertised price (in Rs.) on which he gains Rs. 6000
Rs. 2420 were divided among A, B, C so that A : B = 5 : 4 and B : C = 9 : 10 then C gets
49 Kg of blended tea contain Assam and Darjeeling tea in the ratio 5 : 2. Then the quantity of Darjeeling tea is to be added to the mixture to make the ratio of Assam to Darjeeling tea 2 : 1 is
Among 132 examinees of a certain school, the ratio of successful to unsuccessful students is 9 : 2. Had 4 more students passed, then the ratio of successful to unsuccessful students will be
In a regiment the ratio between the number of officers to soldiers was 3 : 31 before battle. In a battle 6 officers and 22 soldiers were killed and the ratio became 1 : 13, the number of officers in the regiment before battle was
Three containers have their volumes in the ratio 3 : 4 : 5. They are full of mixtures of milk and water. The mixtures contain milk and water in the ratio of (4:1), (3:1) and (5:2) respectively. The contents of all these three containers are poured into a fourth container. The ratio of milk and water in the fourth container is
In what proportion must a grocer mix sugar at Rs. 12 a kg and Rs. 7 a kg so as to make a mixture worth Rs. 8 a kg
Fifteen movie theatres average 600 customers per theatre per day. If six of the theatres close down but the total theatre attendence stays the same, then the average daily attendence per theatre among the remaining theatre is
The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is :
The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. The highest score of the player is
The average of 7 consecutive numbers is 20. The largest of these number is
Mukesh has twice as much money as Soham. Soham has 50% more money than Pankaj. If the average money with them is Rs.110, then Mukesh has
The average daily income of 7 men, 11 women and 2 boys is Rs. 257.50. If the average daily income of the men is Rs. 10 more than that of women and the average daily income of the women is Rs. 10 more than that of boys, the average daily income of a man is
If the profit on selling an article for Rs. 425 is the same as the loss on selling it for Rs. 353, then the cost price of the article is
A & B jointly made a profit of Rs. 1650 and they decided to share it such that 1/3 of A's profit is equal to 2/5 of B's profit. Then profit of B is
4% of the selling price of an article is equal to 5% of its cost price. Again 20% of the selling price is Rs. 120 more than 22% of its cost price. The ratio of cost price & selling price is
Due to 25% fall in the rate of eggs, one can buy 2 dozen eggs more than before by investing Rs. 162. Then the orignal rate per dozen of the eggs is
Last year Mr. A bought two paintings. This year he sold them for Rs. 20000 each. On one, he made a 25% profit and on the other he had a 25% loss.
A shopkeeper sells rice at 10% profit and uses weight 30% less than the actual measure. His gain percent is
What % of a day is 30 minutes
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
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 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.
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 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
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 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)
The compound interest on Rs. 30000 at 7% per annum for n years is Rs. 4347. The value of n is
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
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 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 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 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
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 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
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
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
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)
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)
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
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 square and a regular hexagon are drawn such that all the vertices of the square and the hexagon are on a circle of radius r cm. The ratio of area of the square and the hexagon is
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
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
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
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 simplified value of
(1-2xy/x2+y2) ÷ (x3-y3/x-y - 3xy) 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
If x2 + y2+ 2x + 1 = 0, then the value of x31 + y35 is
If x = √5+1/√5-1 and y = √5-1/√5+1 , the value
of x2+xy+y2/x2-xy+y2 is
If (x-1/x)2 = 3, then the value of x6 + 1/x6 equals
If x4+2x3+ax2+bx+9 is a perfect square, where a and b are positive real numbers, then the value of a and b are
If a2 + b2 + c2 = 16, x2 + y2 + z2 = 25 and ax + by + cz = 20,
then the value of a+b+c/x+y+z
The value of x which satisfies the equation
x+a2+2c2/b+c + x+b2+2a2/c+a + x+c+2b2/a+b = 0 is
If a3 = 117 + b3 and a = 3+b, then the value of a+b is:
If a+ 1/a = -2 then the value of
a1000+a-1000 is
ΔABC is similar to ΔDEF. If area of ΔABC is 9 sq.m. and area of ΔDEF is 16 sq.cm. and BC = 2.1 m. Then the length of EF will be
A chord of a circle is equal to its radius. The angle subtended by this chord at a point on the circumference is
Let two chords AB and AC of the larger circle touch the smaller circle having same centre at X and Y. Then XY = ?
Let G be the centroid of the equilateral triangle ABC of perimeter 24 cm. Then the length of AG is
A and B are the centres of two circles with radii 11 cm and 6 cm respectively. A common tangent touches these circles at P & Q respectively. If AB = 13 cm, then the length of PQ is
ABC is an isosceles triangle inscribed in a circle. If AB = AC = 12√5 and BC = 24 cm then radius of circle is
ABC is an isosceles triangle where AB = AC which is circumscribed about a circle. If P is the point where the circle touches the side BC, then which of the following is true
If D and E are the mid points of AB and AC respectively of Δ ABC, then the ratio of the areas of ADE and BCED IS
O is the circumcentre of the isosceles ΔABC. Given that AB=AC=17 cm and BC = 6cm. The radius of the circle is
B1 is a point on the side AC of Δ ABC and B1B is joined. A line is drawn through A parallel to B1B meeting BC at A1 and another line is drawn through C parallel to B1B meeting AB produced at C1. Then
The value of the expression (1+sec220 + cot 680)(1-cosec220 + tan680) is
If xsin3 θ + ycos3 θ = sin θ cos θ and xsin θ – ycos θ = 0, then the value of x2 + y2 equals
If sec θ + tan θ=m (>1), then the value of sin θ is (00 < θ < 900)
If (a2-b2) sin θ + 2abcos θ = a2+b2, then tan θ =
A person from the top of a hill observes a vehicle moving towards him at a uniform speed. It takes 10 minutes for the angle of depression to change from 450 to 600.
After this the time required by the vehicle to reach the bottom of the hill is
If 2ycos θ = xsin θ and 2xsec θ - ycosec θ = 3, then the value of x2 + 4y2 is
From the top of a cliff 100 metre high, the angles of depression of the top and bottom of a tower are 450 and 600 respectively. The height of the tower is
A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height h. At a point on the plane, the angle of elevation of the bottom of the flag staff is a and that of the top of the flag staff is β. Then the height of the tower is
A man on the top of a tower, standing on the sea-shore, finds that a boat coming towards him takes 10 minutes for the angle of depression to change from 300 to 600. How soon the boat reach the sea-shore
The expression of Cot θ + Cosec θ – 1 / Cot θ +Cosec θ + 1 is equal to
The following Pie-chart shows the monthly expenditure of a family on various items. If the family spends Rs. 825 on clothing. Answer the question
What percent of the total income does the family save
The following pie-chart shows the monthly expenditure of a family on various items. If the family spends Rs. 825 on clothing, answer the question
What is the ratio of expenses on food and miscellaneous
What is the average of expenses on clothing and rent
The ratio of averag of expenses on food, clothing and miscellaneous items to the average of expenses on savings and rent is