AP Polycet Mock Test 12

The points (1,5), (2,3) and (-2, -11) form a:

If 15 cotA = 8, then sinA = ?

Evaluate

Evaluate (sec A + tan A)(1 – sinA) = ?

Which of the following is true?

The angle formed by the line of sight with the horizontal when it is above the horizontal level is:

A ladder is leaned against a wall with angle of 60° with the ground and its foot is 6 feet away from the wall. Then the length of the ladder is:

Two cars are seen from the top of a tower of height 75 m with angles of depression 30° and 45°. If the cars are on opposite sides of the tower along the same line, the distance between them is:

The number of tangents a circle can have from a point outside the circle is:

The angle made by the tangent at any point of the circle with the radius at the point of contact is:

A tangent PQ at a point P of a circle of radius 9 cm meets a line through the center O at a point Q such that OQ = 15 cm. The length of PQ is:

Area of a sector of a circle with radius 4 cm and angle 30° is (use π = 3.14):

Length of an arc of a sector of angle 45° when the radius of the circle is 3 cm, is:

Area of minor segment if a chord of a circle of radius 10 cm subtends a right angle at the centre is (use π = 3.14):

A toy is in the form of a cone of radius r and lateral height l mounted on a hemisphere of the same radius, and the total height of the toy is h, then the total surface area of the toy is:

A model is made with two cones each of height 2 cm attached to the two ends of a cylinder. The diameter of the model is 3 cm and its length is 12 cm. Then the volume of the model is (use \( π = \frac{22}{7} \)):

The mode and mean of a data are 7 and 5 respectively, then median is:

If assumed mean of a data is 47.5, \( \sum f_i d_i = 435 \) and \( \sum f_i = 30 \), then mean of that data is:

The cumulative frequency of a class is the frequency obtained by:

Formula for finding mode for grouped data is:

Which of the following cannot be a probability?

If P(E) =, then:

Which of the following has equally likely outcomes?

A card is drawn from a set of 52 cards. The probability of getting a queen card is:

Ram and Syam are friends. Probability that both will have same birthday is:

491400 =

Which of the following is not irrational?

Which of the following is true?

A prime number p divides a² where a is a positive integer, then

The zero of linear polynomial ax + b is:

If the graph of y = p(x) does not intersect the X-axis at all, then the zeroes of p(x) are:

The number of zeroes of a polynomial y = p(x) as shown below is:

A pair of linear equations \( a_1 x + b_1 y + c_1 = 0 \) and \( a_2 x + b_2 y + c_2 = 0 \) is such that \( \frac{a_1}{a_2} ≠ \frac{b_1}{b_2} \), then they are:

The lines 2x + 3y – 9 = 0 and 4x + 6y – 18 = 0 are:

If x – 4y – 14 = 0 and 5x – y – 13 = 0 will have:

The solution of x – 2y = 0 and 3x + 4y – 20 = 0 is:

The product of Karan's age five years ago and his age after 9 years from now is 32. This is represented by the quadratic equation:

The roots of the equation 6x² – x – 2 = 0 are

The equation 3x² – 5x + 2 = 0 has

Find two numbers whose sum is 27 and product is 182.

Each one of 100 boxes is filled with 50 one-rupee coins on the first day and 25 more coins are added every next day. The Arithmetic Progression (AP) representing this situation is

Common difference of the AP 3, 1, -1, -3, … is

Tenth term of the AP 1, -1, -3, -5, … is

The sum of the first 22 terms of the AP 8, 3, -2, … is

D and E are the midpoints of sides AB and AC of a triangle ABC respectively and BC = 10 cm. If DE ∥ BC, then the length of DE is

Which of the following are not similar figures?

If △ODC ∼△OBA and ∠BOC =125◦,then ∠DOC = ?

If \( M\left(\frac{p}{3}, 4\right) \) is the midpoint of the line segment joining A(-6, 5) and B(-4, 3), then p = ?

The distance between the points (2, 3) and (4, 1) is

The coordinates of the point P(x, y) which divides the line segment joining the points \( A(x_1, y_1) \) and \( B(x_2, y_2) \) internally in the ratio \( m_1 : m_2 \) are

A continuous and closed path of an electric current is called an

If a net charge Q flows across any cross-section of a conductor in time t, then the current I through the cross-section is

One coulomb is equivalent to the charge contained in nearly

Work done to move a unit charge from one point to the other in an electric circuit is called

SI unit of electrical potential difference is

The device used to measure electric current in a circuit is called:

In an electric circuit, three resistors 5Ω, 10Ω and 15Ω are connected in series across a 60V battery. Then the current flowing in the circuit is:

The heat produced in a 4Ω resistor when an electric current of 5A flows in it for 2 seconds is

One kilowatt hour is equal to

The power of an electric motor that takes 5A electric current from a 220V transmission line is:

The region surrounding a magnet in which the influence of that magnet can be detected is called

If the electric current through a copper wire increases, the magnitude of the magnetic field produced at a given point:

The magnetic field at all points inside a solenoid carrying electric current:

The direction of force on a current carrying conductor in a magnetic field is given by

The magnetic field produced by a current carrying circular loop is strongest at

In an electric circuit, the device used to prevent damage to the electrical appliances due to overloading is:

Which of the following is not an alloy?

Identify the wrong statement among the following:

SI unit of electrical resistivity is

Which of the following is an insulator?

The image formed by a plane mirror is always:

The distance between the pole and the principal focus of a spherical mirror is called:

A diminished, virtual and erect image is formed by a

The mirror used by a dentist to see a large image of the teeth of the patients is

A ray of light travelling in air enters obliquely into water. This light ray

The focal length of a spherical mirror is 10cm. Its radius of curvature is:

An object placed between the principal focus and center of curvature of a convex lens forms an image:

The power of a lens is 4D.Its focal length is

If the height of the image is equal to the height of an object placed near a spherical lens, then the magnification m is

An object is placed at a distance of 30cm from a concave lens of focal length 20cm.
The image distance is:

The delicate membrane having enormous number of light sensitive cells is:

The amount of light entering the eye is regulated and controlled by the

The minimum distance at which the objects can be seen most distinctly without strain is called

A person can see distant objects clearly but cannot see nearby objects distinctly. The person is suffering from:

The defect myopia can be corrected by using a:

The band of the coloured components of a light beam is called its

The formation of a rainbow in the sky involves:

Advance sunrise and delayed sunset are due to

The blue colour of clear sky is due to

If the speed of light in glass is 2 × 10⁸m/s and the speed of light in air is 3×10⁸m/s, the refractive index of glass with respect to air is:

Why are cooking vessels made up of metals like copper and aluminium?

Why are metals like potassium and sodium stored in kerosene oil?

What is the process of forming a thick oxide layer on aluminium called?

What happens when zinc is added to a solution of iron (II) sulfate?

What type of bond is formed when a metal transfers electrons to a non-metal?

What is the name of the process where carbonate ores are converted to oxides by heating in limited air?

Which of the following is an ore of mercury?

What kind of bond exists in a molecule of nitrogen (N₂)?

What makes graphite a good conductor of electricity?

What property allows carbon to form large molecules by bonding with itself?

Compounds with the same molecular formula but different structures are called

Which series contains compounds differing by a -CH₂ – unit?

Which functional group is present in carboxylic acids?

Which substance can oxidize ethanol to ethanoic acid?

What is the product formed when magnesium ribbon is burnt in oxygen?

What is the law of conservation of mass?

What is the significance of writing physical states in a chemical equation?

What is the product formed when slaked lime reacts with carbon dioxide during whitewashing?

Why does the iron nail become brownish when dipped in copper sulfate solution?

What causes corrosion of iron?

What is the process called when fats and oils are oxidised and their smell and taste change?

If someone in your family is suffering from acidity after overeating, which of the following would you suggest as a remedy?

Which of the following can be used as olfactory indicators?

Phenolphthalein is used as an indicator in the reaction between

Which of the following is a synthetic indicator?

Why do acidic solutions conduct electricity?

Tooth decay begins when the pH of the mouth drops below:

What chemical is responsible for the pain caused by a bee sting?

What is the chemical formula of Plaster of Paris?

Which property of metals describes their shiny surface?