Why is it important to provide dairy cattle with a sloping floor in their sheds and balanced rations in their diet?

Find the mode of the given data (correct to two places of decimal).

According to Dadabhai Naoroji’s Drain of Wealth theory, what major economic issue needed to be addressed to end India’s exploitation under British rule?

What is the purpose of the Draft National Sports Governance Bill, 2024, introduced by the Indian Government?

The population of country is 10 crores at present and is expected to grow to 17.28 crores in the next three years. Neglecting the death rate, the uniform annual percentage rate of growth is:

In a certain code language,

A + B means ‘A is the daughter of B’

A – B means ‘A is the brother of B’

A x B means ‘A is the wife of B’

A ÷ B means ‘A is the father of B’

Based on the above, how is E related to K if ‘E+F÷G–HxK’?

Which property explains why the path of light is not visible when a beam passes through a true solution?

Why are solids described as rigid in nature?

Which missile system is being developed under Project Kusha to enhance India's air defence capabilities?

Anirudh and Brahmaji are assigned the work of constructing a wall. Anirudh can do the job in 60 hours alone where as Brahmaji can do the job three times faster. Anirudh starts the work during the first hour and Brahmaji does the work during the second hour. During the third hour both do the job simultaneously. If they continue in this fashion, how long it will take for them to complete the job?

Select the correct statement(s) about triangles from the options given below:

A. A triangle with side lengths 9 cm, 13 cm, and 3 cm can be constructed.

B. In \(\Delta PQR\), if \(\angle P = 50^\circ\) and \(\angle Q = 30^\circ\), then QR is the longest side of the triangle.

C. The area of ​​an equilateral triangle with a side length of 6 cm is \(18\sqrt{3} \text{ cm}^2\).

D. In \(\Delta DEF\) and \(\Delta PQR\), \(\angle D = \angle P\), \(\angle E = \angle Q\), and DF = PR. Then \(\Delta DEF\) is congruent to \(\Delta PQR\).

Which individuals actively supported Mahatma Gandhi during the Kheda Satyagraha movement?

When an object is placed at the center of curvature (C) of a concave mirror, what is the nature of the image formed?

The Deccan Plateau is separated from the Chota Nagpur Plateau by which of the following?

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 their 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.)

(2,9,17)

(11,16,60)

Girish scored 664 marks in an examination and was 8 marks short of 84% of the maximum marks. In the same examination, his friend scored 472 marks. What is the percentage of marks scored by his friend?

Which of the following compounds has a formula unit mass of 100 u?

In February 2025, the Union Minister of External Affairs and Heads of Missions from 61 countries visited Kaziranga National Park, located in which state of India?

In this question, a group of number/symbol is coded using letter codes as per the codes given below and the conditions which follow. The correct combination of codes following the conditions is your answer. If none of the conditions follow, then codes for the respective Number/Symbol to be followed directly as given in the table.

Conditions –

(i) If the first element is a symbol and the last a number, the codes for these two (the first and

the last elements) are to be interchanged.

(ii) If the first element is an odd number and the last an even number, the first and last

elements are to be coded as ©

(iii) If both second and third elements are perfect squares, the third element is to be coded as

the code for the second element.

What will be the code for the following group?

7 4 9 @ $

The average of the first 18 positive multiples of 15 is:

9 identical cartons together weigh 72 kg. How many cartons of the same type would be needed to make up a total 168 kg?

Which of the following statements is true regarding parliamentary committees?

A dishonest vendor claims that he is selling goods at their cost price. But he is weighing 902 grams for 1000 grams. What is his profit percentage (rounded off to 2 decimal places)?

A sound wave travels from air into water. How does its frequency, speed, and wavelength change as it crosses the boundary?

What happens to the work done if the displacement becomes zero despite a force being applied?

Why are non-biodegradable substances harmful to the environment?

Who has been elected as the President of Centre of Films for Children and Young People (CIFEJ) for the 2025–2027 term?

In a 100-meter race, X runs at 5 m/s and Y at 4 m/s. How much head start should X give Y (in meters) so that the race ends in a tie?

Chetan’s salary was first reduced by 40% and subsequently raised by 24%. How much percentage was his final salary lower compared to his initial salary?7612

Find the value of \( x, y \) and \( z \) from the following equations:\( \ 3x + 2y - z = 24, \ x - 5y + 3z = 16, \ x + y - 3z = 21 \)

Simplify : \( \frac{\sqrt[3]{5832}}{\sqrt[4]{1296}} \times \frac{3}{54} \times 168 \)

In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. 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 their 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.)

94, 375

115, 396

Which of the following is one of Asia's largest cattle fairs, organized at the confluence of two mighty rivers, the Ganga and Gandak?

A technician needs to connect a new appliance in a domestic circuit to ensure it receives full voltage and can be operated independently. What should the technician do?

Based on the English alphabetical order, three of the following four letter-cluster pairs are alike in a certain way and thus form a group. Which is the one that does not belong to that group?

(NOTE: The odd man out is not based on the number of consonants/vowels or their position in the letter cluster.)

What is a key difference between chemical fertilisers and manures in terms of nutrient release to plants?

Which of the following letter-number clusters will replace the question mark (?) in the given series to make it logically complete?

HUL 19 , MZQ 36, REV 53, WJA 70 , ?

What lies between the sand dunes and the coast in the East Coastal Plains?

Each of C, D, E, F, X, Y and Z has an exam on a different day of a week starting from Monday and ending on Sunday of the same week.

No one has exam before Z. Only three people have exam between Z and F. Only one person has exam between F and X. Y has exam on Wednesday. D has exam on one of the days after E but on one of the days before C.

On which day of the week does D have exam?3867

If \( (5x + 1)^3 + (x + 3)^3 + 8(3x - 4)^3 = 6(5x + 1)(x + 3)(3x - 4) \), then the value of x is:

Select the pair which follows the same pattern as that followed by the two set of pairs given below. Both pairs follow the same pattern.

IIO : JDK

NGR : OBN

The average sale of cars by a dealer per day in the month of March, other than on Saturdays and Sundays, is 151. The average sale of cars per day on Sundays is 129. What is the average sale of cars per day on Saturdays, if the first Saturday is on the 3^rd of March and average sale of cars per day for the whole month is 148?

The internal surface area (in m²) of an open cuboidal tank whose internal length, internal breadth and internal height are given as 3 m, 11 m, and 9 m, respectively, is:

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusion(s) logically follow(s) from the statements.

Statements: Some bins are cats. No cat is a deer. No cat is a tree.

Conclusions:

(I): No bin is a deer.

(II): Some trees are deers.

Refer to the following number and symbol series and answer the question that follows. Counting to be done from left to right only. (Note: All numbers are single digit numbers only.)

(Left) 8 9 & 8 $ 5 # @ & # 4 @ 3 ! + ? 4 5 & 8 (Right)

If all the symbols are dropped from the series, which of the following will be seventh from the right$?

Six friends, O, P, Q, G, H and I, live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it is numbered 2 and so on, till the topmost floor, which is numbered 6.

Only one person lives above Q. P lives on an even-numbered floor but not on floor number 4. Only two people live between P and H. Only two people live between Q and I. O lives immediately below Q.

How many people live between G and O?

Why is it important to keep the level of vitamins A and K high in poultry feeds for broilers?

A cylindrical vessel contains 154 litres of water. If the radius of the base is 14 cm, the height (in cm) of the water column in the vessel is:

(Take \(\pi = \frac{22}{7}\))

Which of the following statements is TRUE for all saturated hydrocarbons?

Which of the following is present only in plant cell?

Where is perinuclear space present?

Suppose a student wants to design an amusement park ride that moves people in a circle at uniform speed. Which concept should the student apply to ensure riders stay safely in their seats during the circular motion?

Find the least number which when divided by 5, 6, 3 and 4 leaves a remainder 2, but when divided by 7 leaves no remainder.2660

Which of the following is an effect of non-biodegradable substances in water bodies?

Which of the following statements correctly differentiates the power of the Rajya Sabha from the Lok Sabha?

When was Namami Gange Programme launched to clean the Ganga river?

A plant sheds its leaves and bark to remove stored waste products. How does this strategy differ from the way animals excrete wastes?

The length of a rectangular ground is 21 m more than its breadth. Its area is 31,042 m². Its breadth (in m) is:

Study the given Venn diagram carefully and answer the question. The numbers in different sections indicate the number of persons. (NOTE: You have to take the given data to be true even if they seem to be at variance from commonly known facts)

How many such Engineers are there who are also Politicians but not Doctors?

What should come in place of ‘?’ in the given series?

116, 121, 131, 146, 166, ?

217 is related to 115 following a certain logic. Following the same logic, 183 is related to 81. To which of the given options is 234 related, following the same logic?

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

In this question, a question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and decide the appropriate answer.

Af, Bg, Cq, Dy and En are sitting around a circular table, facing the centre. Who sits second to the right of Bg?

(I) Af sits to the immediate right of En. Cq is the immediate neighbour of Dy and En.

(II) Dy sits to the immediate right of Bg. En sits second to the left of Bg.

The 7-digit number 93A562B is divisible by 9, What is the minimum value of (A + B)?

Refer to the following letter, number and symbol series and answer the question that follows.

(Left) L 8 * Q 3 $ M ^ Y 7 & T 2 % R $ F 6 # P @ N 9 ! K 4 @ Z ^ W (Right)

If all the symbols are dropped, which of the following will be seventh from the right?

If a point is located below the principal axis of a spherical mirror, what sign is assigned to its perpendicular distance according to the sign convention for spherical mirrors?

Magnesium ribbon burns with:

Seven people, A, L, M, I, R, H and S, are sitting in a row, facing north.

Only three people sit to the left of A. Only H sits to the right of R. Only three people sit between R and L. M sits at some place to the left of I but at some place to the right of S.

How many people sit between S and I?

If \( 7 : 21 :: 2.2 : x \) and \( 7 : 49 :: 9 : y \), what is the ratio of \( x \) to \( y \)?

The selling price of 20 books is equal to the cost price of 31 books. Find the loss or gain percentage.

In this question, a group of numbers/symbols is coded using letter codes as per the codes given below and the conditions which follow. The correct combination of codes following the conditions is your answer. If none of the conditions follow, then codes for the respective Number/Symbol are to be followed directly as given in the table.

Conditions:

1. If the first element is a number and the last a symbol, the codes for these two (the first and the last elements) are to be interchanged.
2. If the first element is an even number and the last an odd number, the first and last elements are to be coded as $.
3. If both the second and third elements are perfect cubes, the third element is to be coded as the code for the second element.

What is the code for the following group of numbers/symbols?

28%5

During a round-trip journey where a person walks to a location at 5 km/h and returns at 3 km/h, which statement about average speed is correct?

Why is potassium hydroxide used in the bell-jar experiment involving photosynthesis?

A young child is diagnosed with both myopia and hypermetropia in different eyes. What is the most appropriate corrective approach?

Social indicators of development improved after economic growth accelerated. Which of the following indicators saw the most consistent improvement after 1991?

If + means - , - means x , x means ÷ , ÷ means +, then what will come in place of the question mark (?) in the following equation?

\( 8-21×3÷75+13=? \)

Which statement correctly describes a heterogeneous mixture?

In a wallet containing gold, silver and bronze tokens, the ratio of gold to silver tokens was 5:17 while the ratio of bronze to gold tokens was 18:19. What was the ratio of bronze to silver tokens?

Why does a torch bulb glow only when the switch is turned on?

Which of the following letter-clusters should replace # and % so that the pattern and relationship followed between the letter-cluster pair on the left side of :: is the same as that on the right side of :: ?

: ORM :: MPK : %

What should come in place of ‘?’ in the given series?

17 30 43 56 69 ?

Which two elements are primarily added to soil by green manure?

A store offers a trade discount of 16% on all items. In addition, they offer a “Buy four get one free” scheme on specific items. If a customer purchases five items each marked at ₹700 and the “Buy four get one free” scheme applies, what is the total discounted price for five items, the customer has to pay?

The product of two consecutive natural numbers is 506. The greater of the two numbers is:

How much fund is allotted to the Khelo India (national programme for development of sports) for FY26?

Simplify the following.

\( 294 \div [10 \div 5 \times {11 + 12 - (8 + 5 - (10 + 1))}] \)

Kiran has borrowed an amount of ₹4,40,000 from a bank to start a business. How much simple interest (in ₹) will he pay at a rate of 7% per annum after 2 years?

This question is based on the following words.

MUG TOP ACE GAS

How many letters are there between the second letter of the first word from the right and the second letter of the first word from the left as per the English alphabetical order?

Standard deviation of 10, 12, 9, 8, 21 is (correct to two decimals):

A person standing 20 meters away from the base of a tower observes that the angle of elevation to the top of the tower is \( 60^\circ \). Find the height of the tower. (Rounded off to two decimal places)

Which rule helps to determine the direction of force acting on a current-carrying conductor in a magnetic field?

Govind starts from Point A and drives 5 km towards south. He then takes a left turn, drives 5 km, turns left and drives 12 km. He then takes a left turn and drives 11 km. He takes a final left turn, drives 7 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90° turns only unless specified.)

A camp has provisions for 51 persons for 12 days. If the number of persons is increased to 102, for how many days will the same provisions last?

Which economic model advocates that developing countries should prioritize import substitution over free trade to promote economic development?

Each of A, B, C, M, N and O has scored different marks. Only two people have scored between O and B. Only one person has scored more than M. Only three people have scored between M and O. N has scored more than C but less than A.

How many people have scored less than C?

Which change will promote micelle formation in a detergent solution?

Which of the following does NOT describe a property of ethanol \( (C_2H_5OH) \)?

P is the brother of W. W is the father of R. T is the father of J. J is the son of R. How is J related to P?

Which metal listed below shows the strongest reaction when added to dilute hydrochloric acid?

Methane reacts with chlorine in the presence of sunlight to form chloromethane and hydrogen chloride. Which of the following statements is CORRECT?

Statement I: Only one chlorine atom can substitute at a time.

Statement II: The reaction is an example of a substitution reaction.

Statement III: Multiple substitution can occur if the reaction continues.

Two men A and B walk round a circle 1300 metres in circumference. A walks at the rate of 150 metres per minute and B at the rate 80 metres per minute. If they both start at the same time from the same point and walk in the same direction, after how much time will they meet each other?