The number of solutions to the pair of linear equations 5x-3y = 7 and 7x + 4y = 18 is:

Three statements are followed by three conclusions numbered I, II and III. You have to consider these statements to be true, even if they seem to be at variance with commonly known facts, and decide which of the given conclusions logically follow/s from the given statements.

Statements:

Some hotels are dormitories.

Some gates are shelters.

All shelters are fences.

Conclusions:

(I) Some gates are dormitories.

(II) Some fences are gates.

(III) Some hotels are shelters.

Janhvi and Pranitha are standing at the extreme ends of a row in which all the students are facing the north. Only 26 students are standing between Janhvi and Ravi. Only 14 students are standing between Ravi and Pranitha. Total how many students are standing in the line?

Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 27: 140:: 22: 115 :: 32:?

Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13-Operations on 13 such as adding /deleting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed) (2, 4, 18) (4, 6, 50)

All 65 students of a class are standing in a row facing the north. Amrit is 46th from the extreme left end of the row, whereas Kashvi is 14th from the extreme right end. How many students are standing between Amrit and Kashvi?

A fruit vendor bought 800 apples for ₹4,800. He spent ₹800 on transportation. How much should he sell each to get a profit of 10 on each apple?

If x : 6 : : 6 : y, and x : y : : y : 6, then which of the options below gives the correct values of x and y, in that order?

The floor of an office has dimensions 5 mx 3 m. The cost of painting the walls and ceiling is 7,440 at the rate of 60/m². Find the height of the room (in m). (rounded off to one decimal place)

If each of the digits in the number given below is arranged in the descending order from left to right, what will be the sum of the digits that are second from the left and third from the right in the new number thus formed? (Left) 259812357 (Right)

Six doctors, K, L, M, N, O and P, are sitting in a straight line. All are facing the north direction. Only O is sitting between N and L. Only P is sitting between L and K. K sits fifth to the right of M. Who is sitting to the immediate right of M?

If the average of two numbers is 26 and one of them is 12, then find the other number.

Which of the following numbers will replace the question mark (?) in the given series? 5, 6, 10, 12, 15, ?, 20, 24

A dealer sold three-fifth of his goods at a gain of 25% and the remaining at cost price. What is his loss or gain percent in the whole transaction?

Vishal is standing in a park facing the south direction. He then turns 90° clockwise on the same point. After that, he turns 45° clockwise. In which direction is he facing now?

In the given letter-cluster pairs, the first letter-cluster is related to the second letter-cluster following a certain logic. Study the given pairs carefully, and from the given options, select the pair that follows the same logic. STM: RUL PJR: OKQ

Six friends, Arun, Suresh, Rahul, Priyanka, Dilan and Hiba, took a test online. All of them scored different marks in the test. Suresh scored more than Priyanka but less than Arun. Hiba scored the least. Dilan scored less than Rahul. Arun scored more than Priyanka and Rahul. Who among the six scored the most?

Rachna can eat 21 oranges in 60 minutes. She wants to know how many minutes it would take her to eat 35 oranges at the same pace?

Two pipes A and B can fill a tank in 15 hours and 20 hours, respectively, while a third pipe C can empty the full tank in 30 hours. If all the three pipes operate simultaneously, in how much time will the tank, initially empty, be filled?

A father's age is seven times that of his son's age. Three years from now, the age of the father will be five times that of his son's age. What is the present age of the father?

Six boxes A, B, C, D, E and F are arranged in a vertical column but not necessarily in the same order. B is placed at second position from the top. Only D is placed between A and B. E is at one of the positions below D and there is only one box between E and D. F is not at the bottom most position. Which box is placed at second position from the bottom?

Which of the following numbers will replace the question mark (?) in the given series? 9, 10, 22, 69, 280,?

Find the amount Ravi needs to return to Monu, if he had borrowed ₹3,000 from Monu at 4% p.a. compound interest, compounded annually. 2 years ago.

Sujata is standing in a park facing the east direction. She then turns 135° anticlockwise. After that, she turns 90° anticlockwise. Then, she turns 45° clockwise. In which direction is she facing now?

Each of the digits in the number 318924765 is arranged in descending order from left to right. The position of how many digits will remain unchanged as compared to that in the original number?

Which of the following years was a leap year?

In Munnar, a travel company has three 4-seater cars and two 8-seater maxi cabs. The rate of each passenger for a round trip in a car is 225 and for a round trip in a maxi cab is ₹20. The average occupancy of the seats is 100%. What is the average earning of each vehicle for one round trip?

Select the set in which the numbers are related in the same way as are the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13-Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (5, 21, 2) (7, 33, 4)

Sujlam started from a point facing towards the west, turned left and walked for 10 m, then turned right and walked for 12 m, then turned left and walked for 11 m, and then turned left again at point P and walked for 17 m. Prior to turning left at point P. he was facing in which direction? (All turns are 90 degree turns only)

If the selling price of an almirah is doubled, profit is tripled. Find the profit percentage.

In a certain code language, MUTINY is written as 25149202113 and MAGIC is written as 397113. How will NECTAR be written in the same language?

Which of the following numbers will replace the question mark (?) in the given series? 23, 31, 95, 311, ?

How many such pairs of letters are there in the word 'DEVELOP' (in both forward and backward directions) each of which have as many letters between them in the word as there are in the English alphabetical order?