If x = √5 + √3 and y = √5 - √3, find x² + y².

A sum of Rs 12,000 becomes Rs 16,200 in 3 years at simple interest. Find the rate %.

Find the area of a triangle whose sides are 13cm, 14cm, 15cm.

If tan θ = 4/3, find sin θ + cos θ.

The difference between compound interest and simple interest on Rs 5000 for 2 years at 8% p.a. is?

A and B together can complete a work in 12 days. B and C together in 16 days. A and C together in 24 days. In how many days can all three working together complete the work?

In what ratio must rice at Rs 9.30/kg be mixed with rice at Rs 10.80/kg to get a mixture worth Rs 10/kg?

The volume of a right circular cone is 1232 cm³ and height is 24cm. Find the curved surface area. (π=22/7)

If log₂ x + log₂ (x-7) = 3, find x.

Two pipes A and B fill a tank in 20 and 30 hours. C can empty in 40 hours. All three open together. Time to fill?

Find the number of ways to arrange the letters of MISSISSIPPI.

A shopkeeper gives two successive discounts of 20% and 10% on marked price Rs 1000. Find selling price.

If the mean of 5 observations is 15 and the mean of 3 of them is 12, find mean of remaining 2.

Solve: 2x² - 7x + 3 = 0.

The perimeter of a semicircle is 36cm. Find its area. (π=22/7)

An aeroplane covers 1500 km in 2.5 hours with wind and 3 hours against wind. Find speed of plane in still air.

If the standard deviation of {2, 4, 6, 8, 10} is σ, what is the SD of {4, 8, 12, 16, 20}?

Find the maximum value of sin²θ + cos²θ + tan²θ when θ is real.

How many 3-digit numbers leave remainder 5 when divided by 7?

Two numbers are in ratio 3:5. If each is increased by 10, ratio becomes 5:7. Find the numbers.

Find the probability that a leap year selected at random has 53 Sundays.

If cos(A+B) = 0, then sin(A-B) = ?

A cylindrical vessel has diameter 14cm and height 6cm. Find total surface area. (π=22/7)

If P(A)=0.4, P(B)=0.5, P(A∩B)=0.2, find P(A∪B).

A train overtakes two persons walking at 3 km/h and 5 km/h in 10s and 11s. Find length of train.

Simplify: (a³+b³)/(a²-ab+b²)

In a group of 100 people, 70 drink tea, 60 drink coffee. Minimum who drink both?

Find median of: 23,17,35,42,19,28,45,32.

Speed of stream is 4 km/h. A boat goes 72 km upstream in 9 hours. Find speed of boat in still water.

A series: 2, 12, 36, 80, 150, ?

If ABCDE=12345 and EDCBA=54321, what is BDACE?

A man starts from P, walks 5km North, then 3km East, then 5km South, then 6km West. How far from P?

Find the odd one out: 8-125, 27-512, 64-729, 125-1000

Statement: All metals conduct electricity. Iron is a metal. Conclusion?

Dice: When 1 is on top, 5 faces you. What is at the bottom?

Mirror image: EQUATION — left-right mirror?

Input: 45 72 28 91 63. Step 1: arrange ascending. Step 2: add 5 to each. Step 3: find average. Result?

In a class, rank of Meera from top is 12, from bottom is 28. Total students?

Series: ?, 4, 9, 16, 25, 36

If A is coded as Z, B as Y, C as X (reverse alphabet), then MANGO = ?

5 people P,Q,R,S,T sit in a row. P sits left of Q. R sits right of S. T sits between Q and R. Which arrangement is correct?

Analogy: Author : Pen :: Painter : ?

How many pairs of letters in SEQUENCE have same number of letters between them as in alphabet?

Odd one: Nephew, Uncle, Niece, Son, Cousin

Blood relation: P is the only son of Q. R is the daughter of S. S is the husband of Q. What is R to P?

Number matrix: Row1: 4,8,16. Row2: 5,10,20. Row3: 6,12,?

Arrange in meaningful order: 1.Ice 2.Snow 3.Cloud 4.Water 5.Steam

Coding: In a code, SPARK = 62 (S+P+A+R+K = 19+16+1+18+11=65). If different coding: each letter value = position², SPARK = ?

Statement: No doctor is rich. Some rich are intelligent. Conclusion I: Some intelligent are not doctors. II: No intelligent is a doctor.

If + = ×, × = ÷, ÷ = +, - = - then 16 + 4 × 2 - 3 ÷ 5 = ?

Series of figures: Square with 1 diagonal, square with 2 diagonals, square with no diagonals, square with 1 diagonal... What comes next?

In a code language, COMPUTER = 83. Then LAPTOP = ?

Weights: A>B, C>D, D>B. Who is lightest?

Clock: At what time between 3 and 4 do hands coincide?

Fold and cut: A square folded vertically in half, then horizontally in half. A circular hole punched in center. When unfolded, how many holes?

If REASON is coded as 5-5-1-4-6-4, then PLEASE is coded as?

Venn diagram: A=Graduates, B=Employed, C=Married. Region only in A (not B,C) represents?

Syllogism: Some cats are dogs. All dogs are animals. Conclusion I: Some cats are animals. II: All animals are cats.

Missing: 3,5,9,15,23,33,?

Choose the word which best expresses the meaning of GARRULOUS:

Choose the word opposite in meaning to BENEVOLENT:

Select the correct sentence:

Fill in: The committee ___ divided in their opinion.

Identify error: She (A) is one of (B) the best singer (C) in the country. (D) No error.

One word substitution for: A place where dead bodies are kept before burial.

Choose the correctly spelt word:

Passive voice: "The government has announced a new scheme."

Indirect speech: He said, "I will complete the work tomorrow."

Choose the idiom meaning "to reveal a secret unintentionally":

Fill in the correct preposition: He is tired ___ working overtime.

Choose the word which best completes: He gave a ___ answer that satisfied no one.

Spot the error: "The price of onions (A) have risen (B) sharply (C) this season. (D) No error."

Antonym of INDIGENOUS:

Fill in with correct form: By the time he reaches, we ___ the meeting.

Reading comprehension: "The Amazon rainforest, often called the lungs of the Earth, produces 20% of the world's oxygen. Deforestation threatens this vital ecosystem." What is the main concern?

Choose the synonym of LETHARGIC:

Fill in: Neither the students nor the teacher ___ responsible for the confusion.

Select the word which means the same as PERFIDIOUS:

Improvement: "He denied to have taken the money."

Fill in: The news ___ very disturbing.

Choose the figure of speech: "The wind whispered through the trees."

Spot error: "India is (A) one of the (B) powerful nation (C) in the world. (D) No error."

Comprehension: "Climate change affects all species. Rising temperatures disrupt migration patterns and breeding cycles. Conservation efforts must be intensified." Which is NOT mentioned?

Cloze: The scientist made ___ groundbreaking discovery that changed our understanding of physics.

Antonym of EPHEMERAL:

Spot error: "He is working (A) in this office (B) since five (C) years. (D) No error."

One word: "Fear of open or crowded spaces"

Fill in: ___ you work hard, you will not succeed.

Choose the correct form: "I wish I ___ a bird."

Rearrange: [P] in the examination [Q] he obtained [R] good marks [S] last year. Correct order?

Antonym of VERBOSE:

Select correct preposition: "The train arrived ___ the station at noon."

Comprehension: "Yoga, originating in India, has gained global acceptance. It improves physical and mental health. UNESCO has recognized it as intangible cultural heritage." Main idea?

Choose: She is ___ better player than her sister.

Fill in: The accused was acquitted ___ all charges.

Spot error: "Each of the students (A) have been (B) given a scholarship. (C) No error. (D)"

Synonym of OSTENTATIOUS:

Active voice: "Mistakes should not be made."

Fill in: He arrived late, ___ he missed the first session.

Antonym of PRODIGAL:

Improvement: "He insisted that he has done nothing wrong."

One word: "A person who is present at an incident without taking part"

Select: He is ___ honest man.

Spot error: "The teacher, along with his students, (A) are going (B) on a field trip (C) tomorrow. (D)"

The term "Stagflation" refers to:

Which Article of the Indian Constitution provides for the creation of the Supreme Court?

The Photovoltaic Effect was discovered by?

Which Indian state shares the longest border with China?

The "Butterfly Effect" is a concept in:

Which enzyme breaks down starch in saliva?

The "Golden Quadrilateral" highway project connects:

Which Article provides for the Right to Constitutional Remedies?

The process by which green plants make food is called:

Which country introduced the concept of "Zero Budget Natural Farming"?

The "Boiling Point" of water at high altitude is:

Who was the first Indian to win an Oscar Award?

The "Vienna Convention" (1961) relates to:

Which gas is used in the manufacture of fertilizers?

The book "Arthashastra" was written by:

Which schedule of the Indian Constitution deals with anti-defection law?

Insulin hormone is related to the metabolism of:

The "Pradhan Mantri MUDRA Yojana" provides loans to:

Light travels fastest in:

Which country is NOT a permanent member of the UN Security Council?

The "Kyoto Protocol" is related to:

Which Indian classical dance form originated in Tamil Nadu?

The "Preamble" of the Indian Constitution was amended by which Amendment?

Which is the hottest planet in our solar system?

The "White Revolution" in India is associated with:

What does "CPU" stand for?

Which of the following is a non-volatile memory?

The shortcut key to permanently delete a file (bypass Recycle Bin) in Windows is:

HTTP stands for:

Which type of software is installed on a computer to protect it from viruses?

The Internet is an example of:

Which of the following is an example of an Input device?

MS Excel function to find the highest value in a range:

What is the full form of GUI?

Which generation of computers used vacuum tubes?

The process of starting a computer is called:

Phishing is a type of:

Which protocol is used for sending emails?

RAM stands for:

Which of the following is NOT an operating system?

Data sent to a printer is stored temporarily in:

The binary equivalent of decimal 25 is:

Which key is used to display the Help menu in most Windows applications?

Cloud Computing provides services over:

Malware that demands payment to restore access to files is called: