The area of the base of a rectangular tank is 6500 cm² and the volume of water contained in it is 2.6 m³. The depth of water in the tank is

If the sum of P terms of an A.P. is q and the sum of q terms is p, then the sum of p + q terms will be:

In Fig. AD = 4cm, BD = 3cm and CB = 12cm, find the cot θ.

The altitude of an equilateral triangle, having the length of its side as 12 cm, is:

If the nth term of an A.P. is 2n + 1, then the sum of first n terms of the A.P. is:

A right triangle with sides 3cm, 4cm and 5cm is rotated about the side of 3cm to form a cone. The volume of the cone so formed is:

The father's age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages, in years, of the son and the father are, respectively:

The distance of P(3, 4) from the x-axis is:

If cos A + cos² A = 1 then sin² A + sin⁴ A =?

The area of the triangle formed by the lines x = 3, y = 4 and x = y is:

In the given figure [See the figure given below] ABCD is a square. Also, P, Q, R and S are the midpoints of sides as shown, then the area of ∆DQR will be:

The tops of two towers of heights x and y, standing on a level ground, subtend angles of 30° and 60° respectively at the center of the line joining their feet. Then, x: y is

∆ ABC ~∆DEF and their perimeters are 32 cm and 24 cm respectively. If AB = 10 cm, then DE =? 

The sum of first 40 positive integers divisible by 6 is:

The sum of n terms of two A.P. 's are in the ratio 5n + 9 : 9n + 6. Then, the ratio of their 18th term is

Increase in momentum by 20% will increase the K.E. by:

A rectangular wooden block has length, breadth, and height of 50 cm, 25 cm and 10cm, respectively. This wooden block is kept on the ground in three different ways, turn by turn. Which of the following is the correct statement about the pressure exerted by this block on the ground?

When three identical bulbs of 60 W- 220V rating are connected in series to a 220V supply, the power drawn by them will be.

The angle of incidence for of light passing through the center of curvature of a concave mirror is:

If a spherical lens has a power of, -0.25D, the focal length of this lens will be:

An electric heater is rated at 2kW. Electrical energy costs Rs 4 per kWh. What is the cost of using the heater for 3 hours?

 Two objects of masses 1kg and 2kg are moving velocities 2m/s and 4m/s, respectively. They collide and after collision the first object moves at a velocity 3m/s, then velocity of second object is:

Three different circuits (I, II and III) are constructed using identical batteries and resistors of R and 2R ohm. What can be said about the current ‘I’ in arm AB of each circuit.

(I)

(II)

(III)

If the current I through a resistor is increased by 100% (assume that temperature remains unchanged), the increase in power dissipated will be:

Which of the following can sometimes be 'zero' for a moving body?

(i)Average velocity
(ii)Distance travelled
(iii)Average speed
(iv) Displacement

A car is accelerated on a leveled road and attains a velocity 4 times of its initial velocity. In this process the potential energy of the car:

A horizontal wire carries a current as shown in Figure below between magnetic poles N and S:

Is the direction of the force on the wire due to the magnet:

 Refractive indices of water, sulphuric acid, glass and carbon disulphide are 1.33, 1.43, 1.53 and 1.63 respectively. the light travels slowest in:

Which of the following does not possess the ability to do work not because of motion?

A current of 1A is drawn by a filament of an electric bulb. Number of electrons passing through a cross section of the filament in 16 seconds would be roughly:

The combining capacity of an element is called

Identify ‘x’, ‘y’ and ‘z’ in the following balanced reaction

Many salts absorb water from the atmosphere. This property is called

Which of the following gases can be used for storage of fresh sample of an oil for a long time?

Which of the following statements about the given reaction are correct?
3Fe(s) + 4H₂O(g) → Fe₃O₄(g) + 6H₂(g)

(i) Iron metal is getting oxidised
(ii) Water is getting reduced
(iii) Water is acting as reducing agent
(iv) Water is acting as an oxidising agent

Bauxite is mixed with cryolite so as to

(i) reduce its melting point
(ii) increase its electrical conductivity
(iii) molten cryolite acts as solvent
(iv) increase its melting point

During the preparation of hydrogen chloride gas on a humid day, the gas is usually passed through the guard tube containing calcium chloride. The role of calcium chloride taken in the guard tube is to

In the following questions, the Assertion and Reason have been put forward. Read the statements carefully and choose the correct alternative from the following:

Assertion: Soaps are 100% biodegradable but do not work well with hard water.
Reason: Some detergents are not biodegradable but work well with hard water.

The most abundant element in the universe is

Which of the following is ethanol?

Which of the following does not belong to the same homologous series?

Mixture of Blue ink and red ink can be separated by

An electrolytic cell consists of:

(i) positively charged cathode
(ii) negatively charged anode
(iii) positively charged anode
(iv) negatively charged cathode

CaOCl₂ will liberate Cl₂ gas in presence of

(i) CO₂
(ii) HCl
(iii) CO
(iv) NO

Vinegar is a solution of

Rajan is the brother of Sachin and Manik is the father of Rajan. Jagat is the brother of Priya and Priya is the daughter of Sachin. Who is the uncle of Jagat?

If 'GERMANY' is written as '7, 5, 18, 13, 1, 14, 25', how can 'FRANCE' be written in that code?

If the day before yesterday was Saturday, what day will fall on the day after tomorrow?

If '+' means '-', '÷' means '+', '-' means '×' and '×' means '÷', then which of the following

equation is correct?

If Kunal says, "John's mother is the only daughter of my mother." how is Kunal related to John?

Study the following information carefully and answer the question given below:

1. 'pa ki top ma' means 'Usha is playing cards'.
2. 'kop ja ki ma' means 'Asha is playing tennis'.
3. 'ki top sop ha' means 'they are playing football'.
4. 'pa sur kop' means 'card and tennis'.

Which of the following represents 'tennis' in that language?

In a chess tournament each of the seven players will play every other player exactly once. How many matches will be played during the tournament?

The figure given below shows the map of the path between Richard's house and his shop. Study the map and answer the following question:

Here, the circular park is given whose radius is 1 km. In which direction his shop lies with respect to park?

Directions:

Read the following information carefully & answer the question. Among  A, B, C, D and E. E is taller than D but not as fat as D. C is taller than A but shorter than B. A is fatter  than D but not as fat as B. E is thinner than C who is thinner than D. E is shorter than A. who is the thinnest person?

 In a cricket season India defeated Australia twice, West Indies defeated India twice, Australia defeated West Indies twice, India defeated New Zealand twice and West Indies defeated New Zealand twice. Which country has lost the most number of times?

Find the day of the week on 26 January, 1950

CLOCK : TIME :: THERMOMETER : ?

Choose the best alternative 6 : 18 :: 4 : ?

In a certain code language tap is written as szo then in the same code language freeze is written as

In the following question, determine the number that replaces the question mark.