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In an AP , if mth term is n and nth term is m where n is not equal to  m , then find pth term ?
In an AP, the mth term 1/n and nth term is 1/m. what is its (mn)th term?  
In an A.P. if pth term is q and qth term is p. where p ≠ q. Find the mth term.
From January 1, 2021, the price of petrol (in Rupees per litre) on mth day of the year is 80 + 0.1 m, where m = 1, 2, 3, ..., 100 and thereafter remains constant. On the other hand, the price of diesel (in Rupees per litre) on nth day of 2021 is 69 + 0.15 n for any n. On which date in the year 2021 are the prices of these two fuels equal?
Which of the following statements is/are true? A: If the length of a cuboid is ‘x’ and its breadth and height are respectively (1/2) and (1/3) of its length, then the ratio of its surface is and its volume will be 12: x. B: If main diagonal of a cube becomes half, then the side of cube will also become half. C: If breadth of a cuboid is half of its length and it is cut into two equal pieces along the axes perpendicular to its length, then the 2 pieces formed will be cubes.
Read the passage carefully and select the best answer to each question out of the given four alternatives.
The Amazon basin has been continuously inhabited for at least 10, 000 years, possibly more. Its earliest inhabitants were stone-age peoples, living in hundreds of far-flung tribes, some tiny, others numbering in the tens of thousands. It was from the west that Europeans explorers first arrived. In 1541 a Spanish expedition from Quito, led by Gonzalo Pizarro, ran short of supplies while exploring east of the Andes in what is today Peru. Pizarros cousin Francisco de Orellana offered to take 60 men along with the boats from the expedition and forage for supplies. De Orellana floated down the Rio Napo to its confluence with the Amazon, near Iquitos (Peru), and then to the mouth of the Amazon. Along the way his expedition suffered numerous attacks by Indians; some of the Indian warriors, they reported, were female, like the Amazons of Greek mythology, and thus the worlds greatest river got its name. No one made a serious effort to claim this sweaty territory, however, until the Portuguese built a fort near the mouth of the river at Belém in 1616, and sent Pedro Teixeira up the river to Quito and back between 1637 and 1639. During the 17th and 18th centuries, Portuguese bandeirantes (groups of roaming adventurers) penetrated ever further into the rain forest in pursuit of gold and Indian slaves, exploring as far as present-day Rondônia, and the Guaporé and Madeira river valleys. Amazonian Indians had long used the sap from rubber trees to make waterproof bags and other items. European explorers recognized the potential value of natural latex, but were unable to market it because it tended to grow soft in the heat, or brittle in the cold, and thus had limited appeal outside the rain forest. However, in 1842 American Charles Goodyear developed vulcanization (made natural rubber durable) and in 1890 Irelands John Dunlop patented pneumatic rubber tires. Soon there was an unquenchable demand for rubber in the recently industrialized USA and Europe, and the price of rubber on international markets soared. As profits skyrocketed, so did exploitation of the seringueiros, or rubber tappers, who were lured into the Amazon, mostly from the drought-stricken northeast, by the promise of prosperity only to be locked into a cruel system of virtual slavery dominated by seringalistas (owners of rubber-bearing forests). Rigged scales, hired guns, widespread illiteracy among the rubber tappers, and monopoly of sales and purchases all combined to perpetuate the workers debt and misery. In addition, seringueiros had to contend with jungle fevers, Indian attacks and all manner of deprivation.
Where did De Orellano float down to for its confluence with the Amazon?
Which of the following statements is/are true? A: If radius of a cylinder is decreased by 50% and its volume remains same, then its height will be increased by 200%. B: Difference between the curved surface area and total surface area of a cone is equal to the area of its circular base. C: If height of a cylinder is equal to its radius, then its curved surface area will be equal to the total area of its both the circular bases.
The following sentences form a paragraph. The first and the last sentences of the paragraph are given. The rest of the sentences are numbered as P, Q, R and S. These four parts are not given in their proper order. Read the sentences and choose the alternative that arranges them in the correct order. 1. The elephant is the largest of all animals living.   P. The trunk is the elephant’s peculiar feature, and it puts it to various uses. Q. With the help of their trunk, they pick leaves from the trees and put them into its mouth. R. It draws up water from its trunk, and can squirt it all over its body like a shower bath. S. It is a strange looking animal, with its thick legs, huge sides and back, large hanging ears, small tail, little eyes, long white tusks, and, above all, its long nose, called the trunk. 6. In fact, its trunk serves the elephant as a long arm and hand respectively. 
A statement is given below in the question followed by three courses of actions numbered I, II and III. On the basis of the information given, you have to assume everything in the statement to be true, and then decide which of the following suggested courses of actions logically follow(s) for pursuing. Statement: Jet Airways has defaulted on salary payments again. The cash-strapped airline on Wednesday sought over 10 more days from its employees to pay balance 25 per cent of their salaries for August. Jet Airways had paid 50 per cent of August salaries to its employees on September 11 and the rest was to be paid on Wednesday. But it could pay only half of the balance amount.  Courses of action: I. The cash-strapped airline, which is struggling to meet its cost of operations, had earlier attempted to cut salaries of its employees, but the move was met with stiff resistance that forced it to defer the plan.  II. Jet Airways will today remit half of the second installment of pending emoluments of its pilots, AMEs and senior management for August 2018. III. While the management regrets the attendant inconvenience, it also appreciates the continued support and understanding of its employees.
Which of the following statements is/are true? A: If the sides of an equilateral triangle becomes 2√2 times, then its area will become 4√6 times. B: If the distance between any two parallel sides of a rhombus is 25% less than its diagonal, then its other diagonal will be 50% more than its side. C: If ratio between altitude and base of a right-angled triangle is 3: 5, then the ratio between its hypotenuse and base will be √30: 5.