AISSEE Class IX...

If 81466x is divisible by 9, then find the value of x.

Find the least number which must be added to 9569 to make it a perfect square.

16 friends went on a trip. Each one brought a chocolate for the trip. Each children ate of the chocolate they had. How many chocolates were eaten in all?

Which of the following fractions is the smallest?

Amy is sharing his toys among three orphanage houses A, B and C. The toys are divided in a ratio 2 : 3 : 5. If C has got 150 toys, then how many total toys were there?

of x = of y, then x : y is

The sum of digits of a two-digit number is 12. If the units digit is one-half the tens digit, find the two-digit number.

A positive number is 5 times the other number. If 21 is added to both the numbers, then greater of the two numbers becomes twice the smaller number. What are the numbers?

Determine the value of x that satisfies the equation .

Find the value of P, Q and R from the following and then evaluate (P + Q) × R.

The difference between the interior angle and exterior angle of a regular polygon is 90°. How many sides does the polygon have?

Find the number of faces, vertices and edges of the given figure.

Father is four times as old as his son. After 24 years, he will be twice as old as his son. Find their respective ages.

The mean of 20 observations is p. If each observation is multiplied by 3 and then 1 is added to it, the new mean obtained will be

One card is drawn from a deck of 52 cards. The probability of drawing a card of club is

In a trapezium, the shortest distance between the two parallel sides is 30 m and its area is 900 sq. m. If the ratio between the lengths of the parallel sides of the trapezium is 3 : 2, then find the sum of the lengths of the parallel sides.

Which among the following can definitely not be a square number?

Which of the following numbers is the same as ?

Which of the following options is equal to ?

Simplify 77.2² - 22.8².

The perimeter of a rectangle is numerically equal to three-fourth of the area of the rectangle. If the length of the rectangle is cm, then its width is

The lid of a square box of side 40 cm is sealed all round with the tape. What is the length of the tape required if the lid is sealed 4 times?

What is the smallest number by which 8712 must be divided, so that the quotient obtained is a perfect cube?

If 895768 = 1331 × 1728, what is the cube root of 895768?

A principal of Rs. 1200 amounted to Rs. 1600 in 2.5 years at a simple interest. If the rate of interest is increased by 3%, what is the new amount?

A field is in the form of a triangle with the base being three times its altitude. If the cost of cultivating the field at Rs. 24.68 per hectare is Rs. 333.18, then find the base and altitude of the triangle made.

A necktie marked at $80 was sold for $68. What was the rate of discount?

Find the number of tiles, each measuring 25 cm by 6 cm, which can cover a wall of dimensions 12 m by 8 m.

By selling a doll at $342, Mac lost 5%. At what price should he have sold it to gain 5%?

If the cost price is 130% of the selling price, what is the loss percentage?

In a hostel of 50 girls, there are food provisions for 80 days. If 30 more girls join the hostel, how long will these provisions last?

15 men complete a piece of work in 16 days. If 24 men are employed, then the time required to complete that work will be

A man is running in a square park whose side is 25 m. His speed is 3 km/hr. How much time will he take to complete 20 rounds?

Aashu took 150 minutes in walking a distance of 1000 m. Walking at the same speed, what distance will she cover in 270 minutes?

If , then find the value of .

Solve for x: 5(2x + 1) + 5(4x - 3) = 7(5x + 2) - 9(5x + 1) + 10x

One of the factors of (x + 2)(x² + 25) - 10x(x + 2) is

What will be the sum of the smallest and greatest angles of the quadrilateral, if it's angles are in the ratio of 2 : 3 : 3 : 4?

Find the measure of CAB from the given figure.

If of a number is 15 less than the original number, then the number is

The median of set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set

The factors of 5x² + 2x - 3 are

The volume of a cylinder is 6280 cm³ and the area of its base is 314 cm². Find the height of the cylinder. (Note: Use π = 3.14)

The volume of a cubical box is 59.319 cu. cm. Find the length of each side of the box.

The volume of a cuboid is 37.5 m³_. The length of the cuboid is 10 times the breadth and its height is 30 times the breadth. Find the breadth of the cuboid.

In which of the following years was the increase in car sales maximum as compared to its previous year?

The ratio of car sales in 2007 to 2004 is

The increase in car sales in 2002 was what percent of the increase in car sales in 2007?

The car sales in 2007 are what percentage of the total car sales of all the years?

What is the average sales of cars from 2004-2007?

Directions: The given question has four options. Mark the correct option after checking the punctuation in each option.

I said to Jack good morning how do you feel now.

Directions: In the following question, a sentence has been given in direct/indirect speech. Out of the four alternatives suggested, select the one which best expresses the same sentence in indirect/direct speech.

I said to you, "I cannot be blamed for this."

Directions: In the following question, a sentence has been given in Active/Passive Voice. Out of the four alternatives suggested, select the one which best expresses the same sentence in Passive/Active Voice.

Who has destroyed Nagasaki?

Directions: In the following question, a sentence has been given in Active/Passive Voice. Out of the four alternatives suggested, select the one which best expresses the same sentence in Passive/Active Voice.

Arun has written a newspaper report on the inauguration of Delhi Metro Railways.

Directions: In the following question, out of the given four alternatives, select the one which best expresses the meaning of the given word.

Ebb

Directions: Choose the alternative which best expresses the meaning of the given idiom/phrase.

At loose ends

Directions: Out of the four alternatives, choose the correct antonym of the given word.

Generous

Directions: Choose the correct option.

The plural number of `analysis` is

Directions: In the following question, some part of the sentence may have errors. Find out which part of the sentence has errors and select the appropriate option. If the sentence is free from errors, select 'No Error'.

These kind of clothes (1)/ are rather expensive (2)/ for me to buy. (3)/ No Error (4)

Directions: Choose the correct order to make the sentence given below meaningful.

were eaten away (1)/ over the years (2)/ by insects some (3)/ were destroyed (4)/ but many have survived (5)/ many manuscripts (6)

Directions: Identify the correct idiom or phrase to complete the sentence.

The ________ is how to raise sufficient funds.

Directions: Fill in the blank with the suitable conjunction.

___________ you speak the truth, you will be dismissed.

Directions: Find the prefix for the following word.

Comfortable

Directions: Find the right suffix for the word 'know' to make it an abstract noun.

Directions: Complete the following maxim.

Don't put all of your eggs in one _____.

Directions: The following item consists of a sentence with an underlined word followed by four words. Select the word that is furthest in meaning to the underlined word and mark your response.

He concealed his thoughts very cleverly.

Directions: The following item consists of a sentence followed by four words. Select the synonym of the word (occurring in the sentence in capital letters) as per the context.

Many of the villagers were ISOLATED by heavy showers of rains.

Directions: The following item consists of a sentence followed by four words. Select the synonym of the word (occurring in the sentence in capital letters) as per the context.

The landscape changed ABRUPTLY after the snowfall.

Directions: A sentence is given with an underlined word. It is followed by four words, one of which is closest to the opposite in meaning of the underlined word. Choose the word and indicate your response accordingly.

He is extremely intelligent but proud.

Directions: Find the adjective form of the following word.

Bottle

According to the passage, most of us prefer films which

By watching thrilling adventures in films we make up for

Film stars present situations

Whether we admit it to ourselves or not, we are aware that

The daily life of students, office-goers and housewives is

Small pieces of space debris that have entered the earth's atmosphere are called _____.

Which branch of science deals with the study of celestial objects of the universe?

The soil having the highest water retention capacity is __________ soil.

Which of the following gas is filled inside a packet of chips?

What type of reaction occurs between an acid and a base when they combine to give salt as a product?

Heating of sugar produces

Which of the following changes does not represent a chemical change?

An atom is electrically neutral because the number of electrons present in it is

Which of the following is the atomic structure of Beryllium? (Atomic number of Beryllium = 4)

Which of the following non-metals exists as a solid at normal temperature and pressure?

Which of the following alcohols is used in cough syrups?

Which of the following is the function of vacuoles in a cell?

What are the organisms that feed on decaying organic matter called?

The shadow of an object is ____________ in the noon and ___________ in the evening.

On which of the following principles is lens based?

Consider the following statements and mark the answer accordingly:

a. Electricity can be transformed into different kinds of energy by using suitable devices.
b. Electric bulb is the source of electric energy in the torch.

Which of the following is a function of an earth wire?

Which of the following is a disadvantage of friction?

The force opposing the relative motion between the two objects in contact is called ______.

_____ is the energy possessed by a body due to its position or change in shape.

Energy from the sun in the form of radiation travels in small packets called ______.

The photovoltaic cell converts sunlight directly into ______.

______ is a disease caused by protozoa and is transmitted by the bite of female anopheles mosquito.

Hepatitis virus is transmitted through

How are Nostoc and Anabaena useful to us?

Who was the head of the Cabinet Mission in 1946?

The first railway line in India was developed from

Who started a Sanskrit college at Varanasi during the 18^th century?

The English forces inflicted a crushing defeat and a final blow to the French colonial rule in India in the Battle of Wandiwash in 1760 A.D., under the command of

East India Company annexed the Sikh kingdom in which year?

The leader of the Revolt of 1857 in Bihar was

Who was Governor General of India during the revolt of 1857?

In which year and from where was the capital of India shifted?

In India, the first bank of limited liability managed by Indians and founded in 1881 was

Who established the Mohammadan Anglo Oriental College at Aligarh (in 1875)?

Indian National Congress found wide acceptance initially among

When was the Quit India resolution passed?

Which of the following resulted in stopping the "Non-cooperation movement" in India?

______________ is the heart and soul of the Indian constitution.

Right to vote in India is based on the principle of

Which of the following describes India as a secular state?

Globalisation means __________

The United Nations Security Council has ________ members.

India's foreign Policy is based on

Higher level of floods are led by

The climatic conditions in the Western Pacific Ocean that represent hurricane, are called ____

____ are used in order to confine flood water within the valley.

Oil is an exhaustible natural resource. Which of the following is another exhaustible natural resource?

The only natural resource we get from outside the Earth is _______________.

The drainage basin of which of these rivers is the largest among the peninsular rivers?

Directions: In the following question, there is some relationship between the two groups on the left of (: :) and the same relationship exists between the two groups on its right. Find the missing group.

EIGHTY : GIEYTH : : OUTPUT : ?

Directions: In the following question, there is a relationship between the two terms to the left of : : and the same relationship holds between the two terms to its right. One term is missing. One of the four given options contains the missing term. Identify the correct option.

ADC : EHG : : MPO : ___________

Directions: There is some relationship between the two terms to the left of the sign (: :). The same relationship exists between the two terms to its right, out of which one is missing. Find the missing term from the given alternatives.

8 : 16 : : 40 : ___

Directions: In the following question, there is a certain relationship between the two terms given to one side of (: :) and one term is given to the other side of (: :), while another term of this pair is to be found from the given alternatives having the same relationship with this term as the terms of the given pair bear. Choose the best alternative.

1024 : 14 : : 1216 : ?

Directions: Given below is a series with one or two terms missing. Choose the correct alternative from the given options that will complete the series.

G8, H13, I18, __, K28

Directions: In each of the following questions, a series is given with one or two terms missing. Choose the correct alternative from the given options that will complete the series.

AC, BD, EG, FH, __

Directions: In the following question, a series is given with one or two terms missing. Choose the correct alternative from the given options that will complete the series.

9, 12, 11, 14, 13, __, 15

Directions: In the following question, a number series is given with one term missing. Choose the correct alternative that will continue the same pattern in the given series.

165, 195, 255, 285, 345, ___

In the given question, which character when placed at the sign of interrogation will complete the matrix?

Directions: In the given question, which term when placed at the sign of interrogation will complete the matrix?

Which letter will replace the (?) question mark?

In a row of students, Atul is 15^th from the front and 6^th from the back. Find the total number of students in the row.

Point A is 20 m to the east of point B. Point B is 5 m to the north of point C. Point D is 10 m to the east of point B. Point E is 5 m to the south of point A. Point F is 10 m to the west of point E.

In which direction is A with respect to F?

Find the number which, when added to itself 13 times, gives 112.

The average temperature of a town in the first six days of a month was 41°C and the sum of the temperatures of the first five days of the same month was 201°C. What was the temperature on the sixth day of the month?

What is the number of triangles in the given figure?

Directions: In the following question, four figures are given. Three of them are similar in some way, but one figure is unlike the other three. Select the figure which does not belong to the group.

Directions: In the following question, arrange the given words in the sequence in which they occur in the dictionary and then choose the correct sequence.

1. Protein
2. Problem
3. Proverb
4. Property
5. Project

If in a certain code language, ENGLAND is written as 1234526 and FRANCE is written as 785291, then how is GREECE written in that language?

In the year 1648, if February had 5 Sundays, then what was the day on 13^th February, 1750?

Which of the following years has the same calendar as 1700?

Directions: From the given alternatives, select the word which cannot be formed using the letters of the given word.

Accomplishment

Directions: From the given words, select the word which cannot be formed using the letters of the given word.

JOSTLING

What will be the value of 23÷ 89+ 4x 18- 3if '-' means 'x', '+' means '÷', 'x' means '+' and '÷' means '-'?

Pointing to a man in a photograph, a woman said, ''His brother's father is the only child of my grandfather.'' How is the woman related to the man in the photograph?