IMO - Mock Test...

In a certain code language, INTRODUCED is written as EFDVEPSUOJ. How will INNOVATIVE be written in that language?

Find the correct mirror image of the given figure.

Aadi and Zoya start walking from the same point in opposite directions. Aadi walks 4 m west and Zoya walks 3 m. Then Aadi turns to his right and walks 3 m, and Zoya also turns to her right and walks 4 m. In which direction is Zoya with respect to Aadi?

If it is possible to make only one meaningful word with the 2^nd, 4^th, 6^th and 11^th letters of the word 'INTELLIGENT' (using each letter only once), then the third letter of the word formed would be your answer. If more than one such words can be formed, then give Z as the answer. If no such word can be formed, then choose Y as your answer.

Select a figure from the options in which Fig. (X) is exactly embedded as one of its parts.

Select the odd one out.

Which of the following Venn diagrams best illustrates the relationship among Flute, Musical Instruments and Violin?

Find the missing number, if same rule is followed in all the three figures.

Pointing to a person, Puneet said, ''His only brother is the father of my daughter's father.'' How is the person related to Puneet?

In a certain code language, 'nro bsi mit' means 'help people everyday', 'bsi nro zpi' means 'themselves people help' and 'sti kti nro' means 'people love everyone'. Which of the following does mean 'everyday themselves love everyone' in the same language?

How many triangles are there in the given figure?

Two positions of a dice are shown here. When 4 is at the bottom, which number will be on the top?

Two rows of numbers are given. The resultant number in each row is to be worked out separately based on the following rules and the question below the rows of numbers is to be answered. The operations of numbers progress from left to right.

Rules:
(i) If a two-digit even number is followed by another even number, the first one is to be divided by the second one.
(ii) If an even number is followed by a prime number, the two are to be multiplied.
(iii) If an odd number is followed by another odd number, the two are to be added.
(iv) If a three-digit number is followed by a two-digit number which is a perfect square, the second number is to be subtracted from the first number.
(v) If a three-digit number is followed by a two-digit number which is not a perfect square, the first number is to be divided by the second number.

Rows:



What is the difference between the resultants of the first row and the second row?

A square transparent sheet with a pattern and a dotted line on it is given. Select a figure from the options as to how the pattern would appear when the transparent sheet is folded along the dotted line.

Select a figure from the options which will replace the question mark (?) to complete the pattern in Fig. (X).

A 3-digit number 93a is added to another 3-digit number 365 to give a 4-digit number 1b98, which is a divisible by 11. Find the value of .

Which of the following graphs cannot be a time-temperature graph?

If x² + y² = 47 and xy = , then the value of 2(x + y)² + (x - y)² is _______.

Mohit invests a sum of Rs. 41,250 at the rate of 6% per annum. What approximate compound interest will he obtain at the end of 3 years?

If ABCD is a parallelogram, and ADN and ABC are isosceles triangles, find BAC.

Given below are the steps of construction of a parallelogram ABCD, where AB = 7 cm, BC = 9 cm and B = 80°. Which of these steps is incorrect?

Step-1: Draw AB = 7 cm.
Step-2: With B as centre, draw ABX = 80°.
Step-3: Mark a point C on such that BC = 9 cm.
Step-4: With C and A as centres and 7 cm and 9 cm as respective radii, draw arcs intersecting at point B.
Step-5: Join CD and AD. ABCD is the required parallelogram.

If A : B = 5 : 6 and B : C = 7 : 8, then approximately by what percentage is C more than A?

When a dice is thrown, find the probability of not getting a prime number.

x and y vary inversely. When x is 12, y is 3. Which of the following is not a possible pair of corresponding values of x and y?

If a four-digit number ccdd is divisible by 55, then the possible value of d is

Match the following:

Which of the following statements is INCORRECT?

If 5^{x - 1} + 5^x + 5^{x + 1} = 775, then the value of x, where x is a positive integer, is _______.

Find the value of p from + p = 3, when .

Study the given graph carefully. Complete the table and find the value of P + Q – R – S.

The following pie chart gives the marks scored in an examination by a student in English, Hindi, Science and Technology, Social Science, and Mathematics. If the total marks obtained by the student were 540, then the subject in which he scored 105 marks would be _________.

One of the factors of 2(b² - a² + 2ac - c²) is _________.

Which of the following is NOT a polyhedron?

The volumes of two cubes are in the ratio 1 : 64. If the volume of the larger cube is 504 cm³ more than that of the smaller cube, then:

(a) What is the volume of the smaller cube?
(b) What is the length of each side of the larger cube?

What must be subtracted from x⁴ + 2x² - 3x + 7 to get x³ + x² + x - 1?

Ritesh selected a card from a deck of 52 playing cards. Find the probability that the selected card is a red queen.

Two years ago, Mohit was three times as old as his son and two years hence, twice of Mohit's age will be equal to five times that of his son. The present age of Mohit is ________.

A sells his motorcycle to B at a profit of 7%. B sells it to C at a profit of 8%. If C pays Rs. 14,445 for it, then what was the cost price of motorcycle for A?

Anshu and Ashu together can do a piece of work in 9 days. Ashu alone can complete the same work in 45 days. How many days will Anshu alone take to complete the same work?

A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, how much soup does the hospital have to prepare daily to serve 250 patients?

There are few adults and children in a restaurant. If of the people in the restaurant are adults and there are 90 more children than adults, then how many children are there in the restaurant?

The perimeter of a rectangular garden is 420 cm. If its length is increased by 20% and breadth is decreased by 40%, we get the same perimeter. What are the new respective length and breadth of the rectangular garden?

Vidhushi is 8 times as old as her grandson. Four years ago, Vidhushi was 12 times as old as her grandson. Find the difference between their present ages.

A swimming pool is 24 m long and 15 m breadth. When a certain number of men dive into the pool, the height of water rises by 1 cm. If the average amount of water displaced by one of the men be 0.1 cu. m, how many men are there in the pool?

The compound interest earned by Suresh on a certain amount at the end of 2 years at the rate of 8% per annum was Rs. 1414.40. What was the total amount that Suresh got back at the end of 2 years in the form of principal plus interest earned?

A box has 30 balls with numbers 1 to 30 written on them. One ball is drawn at random. Find the value of (P + Q) ÷ R after completing the given table.

State 'T for true and 'F' for false and select the correct option.

(i) The measure of each exterior angle of an n-sided regular polygon is .
(ii) The adjacent angles in a parallelogram are supplementary.
(iii) In a quadrilateral PQRS, the bisectors of P and Q meet at point M. If R = 120° and S = 40°, then PMQ = 80°.

Match the columns and select the correct option.

Column I (Figure)	Column II (Area of the shaded region)
(P)	(i) 101.5 m2
(Q)	(ii) 70 m2
(R)	(iii) 462 m2
(S)	(iv) 134.75 m2

Read the following statements carefully and select the correct option.

Statement-I: An article marked at Rs. 800 is sold at successive discounts of 15% and 25%. If the buyer desires to sell it at a profit of 20% after allowing a 10% discount, then its marked price will be Rs. 680.
Statement-II: If the amount of Rs. p at 10% per annum for 3 years compounded annually becomes Rs. q, then q : p is 125 : 216.

Fill in the blanks.

(i) The range of the data: 15, 4, 16, 20, 5, 6, 16, 8, 2, 1, 19, 0 is __ P__.
(ii) The probability of an impossible event is __Q__.
(iii) The number of times a particular observation occurs in a given data is called __R__.
(iv) In a single throw of two dice, the probability of getting a total of 11 is __S__.