197551. Arranging the following in descending order, we get
$$\sqrt[3]{4},\sqrt{2},\sqrt[6]{3},\sqrt[4]{5}$$

197552. The base of a right prism is a quadrilateral ABCD. Given that AB = 9 cm, BC = 14 cm, CD = 13 cm, DA = 12 cm and ΔDAB = 90°. If the volume of the prism be 2070 cm3, then the area of the lateral surface is

197553. The volumes of a right circular cylinder and a sphere are equal. The radius of the cylinder and the diameter of the sphere are equal. The ratio of height and radius of the cylinder is

197554. A wire of length 44 cm is first bent to form a circle and then rebent to form a square. The difference of the two enclosed areas is

197555. A shopkeeper listed the price of goods at 30% above the cost price. He sells half the stock at this price, one fourth of the stock at a discount of 15% and the remaining at 30% discount. His overall profit is

197556. A takes three times as long as B and C together to do a job. B takes four times as long as A and C together to do the work. If all the three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job is

197557. A shopkeeper allows a discount of 10% on the marked price of an item but charges a sales tax of 8% on the discounted price. If the customer pays 3,402 as the price including the sales tax, then the marked price is

197558. The milk and water in two vessels A and B are in the ratio 4 : 3 and 2 : 3 respectively. In what ratio, the liquids in both the vessels be mixed to obtain a new mixture in vessel C containing half milk and half water ?

197559. Two numbers A and B are such that the sum of 5% of A and 4% of B is 2/3 rd of the sum of 6% of A and 8% of B. The ratio A : B is

197560. The average marks obtained by 40 students of a class is 86. If the 5 highest marks are removed, the average reduces by one mark. The average marks of the top 5 students is

197561. A student finds the average of 10, 2 - digit numbers. If the digits of one of the numbers is interchanged, the average increases by 3.6. The difference between the digits of the 2-digit numbers is

197562. A trader buys goods at 20% discount on marked price. If he wants to make a profit of 25% after allowing a discount of 20%, by what percent should his marked price be greater than the original marked price ?

197563. A man spends 75% of his income. His income increases by 20% and his expenditure also increases by 10%. The percentage of increase in his savings is

197564. A car travels from P to Q at a constant speed. If its speed were increased by 10 km/h, it would have been taken one hour lesser to cover the distance. It would have taken further 45 minutes lesser if the speed was further increased by 10 km/h. The distance between the two cities is

197565. A train leaves a station A at 7 am and reaches another station B at 11 am. Another train leaves B at 8 am and reaches A at 11.30 am. The two trains cross one another at

197566. A man gave 50% of his savings of 84,100 to his wife and divided the remaining sum among his two sons A and B of 15 and 13 years of age respectively. He divided it in such a way that each of his sons, when they attain the age of 18 years, would receive the same amount at 5% compound interest per annum. The share of B was

197567. A fruit-seller buys some oranges and by selling 40% of them he realises the cost price of all the oranges. As the oranges being to grow over-ripe, he reduces the price and sells 80% of the remaining oranges at half the previous rate of profit. The rest of the oranges being rotten are thrown away. The overall percentage of profit is

197568. $$\frac{p}{a}+\frac{a}{b}+\frac{r}{c}=1$$ and $$\frac{a}{p}+\frac{b}{q}+\frac{c}{r}=0$$ where p,q,r and a,b,c are non-zero then the value of $$\frac{p^2}{a^2}+\frac{q^2}{b^2}+\frac{r^2}{c^2}$$ is

197569. If x is a rational number and $$\frac{(x+1)^3-(x-1)^3}{(x+1)^2-(x-1)^2}=2$$ then the sum of numerator and denominator of x is

197570. The area in sq. unit. of the triangle formed by the graphs ofx= 4, y= 3 and 3x+ 4y= 12 is

197571. The equations 3x+ 4y = 10 -x+ 2y = 0 have the solution (a, b). The value of a + b is

197572. If x = √5+ 2, then the value $$\frac{2x^2-3x-2}{3x^2-4x-3}$$ is equal to

197573. If a= 2.234, b = 3.121 and c = -5.355, then the value of $$a^{3} +b^{3} + c^{3}$$ - 3 abc is

197574. If $$x^{2} + y^{2} + 1 = 2x$$, then the value of $$x^{3} + y^{5}$$ is

197575. If 3 (a^{2} + b^{2} + c^{2} ) = (a + b + c)^{2} , then the relation between a, b and c is

197576. If $$(sin α + cosec α)^{2} + (cos α + sec α)^{2} = k + tan^{2}α + cot^{2}α,$$ then the value of k is

197577. The angle of elevation of the top of a vertical tower situated perpendicularly on a plane is observed as 60° from a point P on the same plane. From another point Q, 10m vertically above the point P, the angle of depression of the foot of the tower is 30°. The height of the tower is

197578. If sin 21°= x/y then sec21°- sin 69° is equal to

197579. If sec α + tan α = 2, then value of sin α is (assume that 0 < α < 90°)

197580. If 3 sin θ + 5 cos θ = 5, then the value of 5 sin θ - 3 cos θ will be

197581. If θ is an acute angle and tan θ + cot θ = 2, then the value of $$tan^{5} θ + cot^{5} θ$$ is

197582. ABCD is a parallelogram in which diagonals AC and BD intersect at 0. If E, F, G and H are the mid points of AO, DO, CO and BO respectively, then the ratio of the perimeter of the quadrilateral EFGH to the perimeter of parallelogram ABCD is

197583. The simple value of tan 1°. tan 2°. tan 3° ..................... tan 89° is

197584. The length of a tangent from an external point to a circle is 5√3 unit. If radius of the circle is 5 units, then the distance of the point from the circle is

197585. In ΔABC, $$\angle{C}$$ is an obtuse angle. The bisectors of the exterior angles at A and B meet BC and AC produced at D and E respectively. If AB = AD = BE, then $$\angle{ACB}$$ =

197586. ABC is an equilateral triangle and 0 is its circumcentre, then the ∠AOC is

197587. ABCD is a cyclic quadrilateral. The side AB is extended to E in such a way that BE = BC. If ∠ADC = 70°, ∠BAD = 95°, then ∠DCE is equal to

197588. If the sum of interior angles of a regular polygon is equal to two times the sum of exterior angles of that polygon, then the number of sides of that polygon is

197589. In ∠PQR, S and T are points on sides PR and PQ respectively such that ∠PQR =∠PST. If PT = 5 cm, PS = 3 cm and TQ = 3 cm, then length of SR is

197590. Two circles are of radii 7 cm and 2 cm their centres being 13cm apart. Then the length of direct common tangent to the circles between the points of contact is

197591.
The following table gives zonewise survey report of the people of a country who take coffee. Study the table and answer the questions.
The percentage of people of south zone who take coffee at least once a day is close to

197592. The percentage of people from non-west zone who take coffee ‘only once a week’ is approximately

197593. The ratio of the total number of people surveyed who take coffee more than 3 times a day to the total number of people who do not take coffee at all is

197594.
Study the following graph which shows income and expenditure of a company over the years and answer the questions.
The difference in profit (in Rs. crores) of the company during 2007 and 2008 is

197595. In how many years was the expenditure of the company more than the average expenditure of the given years ?

197596.
Study the following graph which shows income and expenditure of a company over the years and answer the questions.
The percentage increase in income of the company from 2007 to 2008 is

197597.
Study the following graph which shows income and expenditure of a company over the years and answer the questions.
Ratio of total income to total expenditure of the company over the years is

197598.
In the following questions, some parts of the sentences have errors and some are correct. Find out which part of a sentence has an error. The number of that part is the answer. If a sentence is free from error, your answer is d i.e. No error.He feels his troubles (1)/ as much or (2)/ even more than they. (3)/ No error (4)

197599. I like reading (1)/ more than (2)/ to play. (3)/ No error (4)

197600. The old lady swooned (I)/ but was soon (2)/ restored at senses. (3)/ No error (4)

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