Exams

In triangle DEF measure of angle E is 90 deg. If cotD = 5/12 and DE = 1 cm, then what is the length (in cm) of side EF?

Two successive discounts of 10% and 25% are given by Raman on a shirt. If the marked price of the shirt is Rs 600, then what is the value (in Rs) of discount?

A street vendor pushes his cart 2 km South, then he turns East and walks 2.5 km, then he turns North and walks 1 km, then he turns to his left and walks 2.5 km. Where is he with respect to his starting point?

There are 6 taxi companies (A,B,C,D,E,F) in a certain city. The bar graph shows the number of taxis run by each of these six companies. Study the diagram and answer the following questions.

Even if A and C decide to merge, still D will have how many more taxis (in %) than the merged A and C entity?

A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.

Mercury, Venus, Earth, ?

In the question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g., 'B' can be represented by 42, 34, etc. and 'Z' can be represented by 57, 96 etc. You have to identify the set for the word 'FAZE'.

The total surface area of a cube is 337.5 cm². Find its side (in cm).

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement:
(I) Petrol prices are increasing in the economy.
(II) The price of crude oil in international market has not shown reasonable increase.

Conclusions:
(I) The inflation has hit various commodities like petrol in the country.
(II) Demand for petrol is increasing but supply has not picked up with the same rate, hence resulting into hike in prices.