A person starts from a point, walks 5 km towards the north, takes a right turn, and walks 7 km. Then he takes a left turn and walks 3 km. Finally, he turns right and walks 8 km. In which direction and how far is he from the starting point?

A series is given: 2, 9, 28, 65, 126, ? Find the next number in the series.

If A + B means A is the daughter of B, A - B means A is the son of B, A × B means A is the husband of B, and A ÷ B means A is the sister of B, then what does X + Y ÷ Z mean?

Four friends - A, B, C, and D - are playing cards. A is sitting opposite to B, and C is sitting to the left of D. If D is to the right of A, in what position is C relative to B?

In a code language, 'HARD' is written as 'AHRD' and 'SOFT' is written as 'OSFT'. How will 'LONG' be written in that code?

A and B start from the same point. A travels 6 km east and then 5 km north. B travels 4 km west and 9 km north. What is the distance between A and B?

In a certain pattern, if A + B = C means A is the sister of B, and A × B = C means A is the brother of B, then what does the expression X + Y × Z mean?

If in a certain code language, 'REASON' is written as 'SDFAPR', how will 'PATTERN' be written in that code?

There are six persons A, B, C, D, E, and F. They are sitting in a row. B is to the immediate left of D. C is sitting between E and F. A is to the immediate right of F. If F is not at the end, who is sitting at the end?

A, B, C, and D are four brothers. A is taller than B but shorter than C. D is taller than C but shorter than B. Who is the shortest?

A person starts walking from his house towards the west. After walking 6 km, he turns right and walks 2 km. Then he turns left and walks 3 km. Finally, he turns left again and walks 2 km. In which direction is he now from his starting point?

In a certain code, 'CAT' is written as '3120' and 'DOG' is written as '4157'. How will 'RAT' be written in that code?

In a family of six members A, B, C, D, E, and F, A and B are a married couple, E is the brother of A, C is the son of D, who is the daughter of B. F is the mother of D. How is E related to F?

If 'LIVES' is coded as 'JGRKU', then how will 'KILLS' be coded in the same code?

In a certain code language, 'WORK' is written as '37@'. If 'HARD' is coded as '1&8%', then how will 'WORD' be written in the same code?

A man walked 2 km west, then 3 km north, and finally 1 km east. How far is he from his starting point?

A series is given: 6, 24, 60, 120, ?. Find the next number in the series.

In a sequence of numbers, each number is the square of the previous number. If the first number is 2, what is the 5th number in the sequence?

A water tank has three taps A, B, and C. A and B can fill the tank in 20 minutes and 30 minutes, respectively, while C can empty the tank in 15 minutes. If all three taps are opened together, in how many minutes will the tank be full?

The ratio of the ages of A and B is 6:5. After 9 years, the ratio of their ages will be 9:8. What is the difference in their ages?

If a sum of money becomes four times itself at simple interest in 20 years, what is the rate of interest per annum?

The sum of the squares of three positive numbers is 186, and the sum of the products of the three numbers taken two at a time is 131. Find the sum of the three numbers.

A cylindrical vessel has a radius of 7 cm and a height of 21 cm. How many liters of milk can it hold? (Use π = 22/7)

A man buys two watches for ₹3,600. He sells one at a profit of 20% and the other at a loss of 10%. If the selling prices of both watches are the same, what is the cost price of the watch that was sold at a loss?

Two trains start at the same time from stations A and B and proceed towards each other at speeds of 50 km/h and 60 km/h respectively. When they meet, it is found that one train has traveled 120 km more than the other. What is the distance between the two stations?

A box contains 8 red, 6 blue, and 4 green balls. If 3 balls are drawn at random, what is the probability that they are of the same color?

The cost of 5 pens and 7 pencils is ₹75. The cost of 7 pens and 5 pencils is ₹85. What is the cost of one pen?

If x = \sqrt{3} + 1, then the value of x^4 + \frac{1}{x^4} is:

If the roots of the quadratic equation x^2 + (p + 1)x + p = 0 are real and distinct, what is the range of values of p?

In a family, the father's age is twice the sum of the ages of his two children. Five years ago, his age was three times the sum of their ages. What is the father's present age?

was three times the sum of their ages. What is the father's present age?

A man rows to a place 48 km distant and comes back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. Find the rate of the stream.

The difference between the compound interest and simple interest on a certain sum of money for 2 years at 10% per annum is ₹20. What is the principal amount?

A and B start a business together. A invests ₹16,000 for 8 months, and B invests ₹12,000 for 12 months. If they earn a profit of ₹10,000 at the end of the year, what is A's share in the profit?

If the sum of the squares of two numbers is 533 and the square of their difference is 121, what is the product of the two numbers?

The sum of the squares of three numbers is 138, and the sum of the products taken two at a time is 131. Find the sum of the three numbers.

A sum of money amounts to ₹3,300 at 10% per annum compound interest in 2 years. What will be the amount if the interest is compounded halfyearly?

If x = 2 + sqrt{3}, then find the value of x^3+{1}/{x^3}

A train 150 meters long passes a pole in 10 seconds. How long will it take to pass a platform 400 meters long?

Choose the option that best expresses the meaning of the given idiom: "A storm in a teacup"

Identify the sentence that contains a parallelism error:

Select the word that is closest in meaning to the underlined word: "His views were often considered iconoclastic by his peers."

Choose the correct option that completes the sentence: "The philosopher's ideas were so ________ that even his contemporaries found them difficult to grasp."

In the passage below, identify the tone of the author: "The increasing reliance on automation is a doubleedged sword. While it brings efficiency, it also threatens jobs. Policymakers must navigate this terrain carefully, balancing innovation with social responsibility."

Choose the most appropriate word to fill in the blank: "The protagonist in the novel is portrayed as a ________ figure, deeply flawed yet highly charismatic."

Choose the most appropriate word to fill in the blank: "The lawyer's ________ argument left the jury with little doubt about the defendant's innocence."

Choose the option that best completes the analogy: "Light is to darkness as knowledge is to ________."

Choose the most appropriate word to fill in the blank: "Her ________ demeanor made it difficult to approach her with a complaint."

In the passage below, identify the primary theme: "The novel explores the conflict between tradition and modernity, illustrating the tension between cultural values and the allure of change."

Choose the word that is opposite in meaning to the underlined word: "The CEO's benevolent leadership style earned her the respect and admiration of her employees."

Choose the correct option that completes the sentence: "The author's writing style is characterized by its ________ simplicity and ________ elegance."

Choose the most appropriate word to fill in the blank: "The scientist's ________ research contributed significantly to the understanding of climate change."