IMO - Mock Test...

P, Q, R, S and T are five friends sitting around a pentagonal park facing O as shown below.



If P and T interchange their positions and Q and R interchange their positions, then which of the following is true?

Using the below table, identify the correct expression.

P	Q	R	S
+	-		×

In a unit test Sonakshi's marks in Mathematics are more than her marks in History, but not more than her marks in Geography. Her marks in Science are more than her marks in History, but not as much as in Mathematics and her marks in English are not as much as in Geography. In which subject did she score the lowest?

Select the correct mirror image of given below combination, if the mirror is placed vertically to the left?

Which set is most similar to the given set?

(8, 18, 37)

In the given Fig. (X), which one of the options will replace the question mark?

Find the missing number in the number pattern given below.

How many unit cubes were removed from the solid on the left to obtain the solid on the right?

Identify the figure from the options in which shape (X) is exactly embedded as one of its part.

The given three figures (X), (Y) and (Z) shows a sequence of folding of a piece of paper. Figure (Z) shows the manner in which the folded paper has been cut. Identify the unfolded form of piece of paper.

Choose a figure which is different from the rest of the figures.

If R is denoted by N, D is denoted by T, I is denoted by U, O is denoted by I, E is denoted by R, T is denoted by O, U is denoted by D, N is denoted by C and C is denoted by E, then how will the word 'INTRODUCE' be written?

A truck departs from a distribution center. From there, it goes 2 blocks east, 3 blocks south and 3 blocks north. How far and in which direction must the truck go to get back to the distribution center?

Which letter would replace the question mark?

Six friends P, Q, R, S, T and U are sitting around a hexagonal table, each at one corner and are facing the centre of the hexagon. P is second to the left of U. Q is neighbour of R and S. T is second to the left of S. Who is sitting opposite to P?

The difference between place values of digit 5 in 456.385 is ______

Find the least number which on adding 9 to it becomes exactly divisible by 15, 25, 30 and 45.

Which of the following square(s) must be shaded so that given figure is symmetric along both lines LM and AB?

Find the value of CXVI + XIII + VI + CCLXV - XVI.

Fill in the blanks:

Every natural number has a ______ except ______ and has a ____.

Which of the following diagrams correctly describes the factors of 15 and 12?

Select the INCORRECT match.

Which of the following statements is correct?

Mihika makes 8 gift packs containing chocolates for Diwali. She puts 12 vanilla chocolates, 14 milk chocolates and 8 nut chocolates in each pack. With the help of which property, can you calculate the total number of chocolates in 8 packs?

The breadth of a rectangle is w cm and the length is 5 times as long as its breadth. What is the perimeter of the rectangle?

The pie chart shows the number of students who choose different co-curricular activities in a school. An equal number of students choose Basketball and Volleyball and 96 students choose Table Tennis.



The ratio of the number of students who choose Basketball to those who choose Soccer is 2 : 7. How many students choose Soccer?

Find the difference between the place value of 7 in 5369.70184 and face value of 3 in 536970184.

Which digit makes the given sentence true?

5831470? is divisible by 5.

QS and TV are parallel lines and WP is a transversal. Which angles are supplementary angles?

A veterinarian weighed all the dogs that visited her office last month. Use the data to complete the frequency chart shown below.
Dog weights (Ibs)
23, 27, 27, 39, 43, 45, 46, 47, 49, 50, 53, 55, 58, 58, 59, 64, 71, 83, 84, 86, 88, 89
Find the missing number.

Dog weights
Weight (lbs)	20 - 29	30 - 39	40 - 49	50 - 59	60 - 69	70 - 79	80 - 89
Number of dogs	3	1		6	1	1	5

Prachi took a total of 2 hours to write 30 party invitations. Which of the following equations can be used to find m, the number of minutes Prachi took to write 1 invitation?

How many right angles are there in 3 complete turns?

An oil tank contains litres of oil. It is then filled with litres of oil. Later, litres of oil is pumped out from the tank. What is the volume of oil left in the tank in litres?

If (k - 8) is the highest common factor of 56 and 77, then the value of k is _____.

The number of edges in the given figure is _______.

An unknown number of apples were distributed among Garima and Amit in the ratio 5 : 7. If Amit got 84 apples, then the difference between the number of apples received by Garima and Amit is _____.

Maya has an equal number of 20-paisa and 50-paisa coins. The total value of the coins is Rs. 16.10. If she spend five 50-paisa coins, then how many 50-paisa coins is she left with?

In a class of 50 students, 15 are girls. 5 girls and 2/7 of the boys were chosen to play a match. The total number of students chosen to play a match is _______.

The number of girls in a class is 5 times the number of boys. Which of the following cannot be the total number of children in the class?

Meeku fenced up a square area. He used 100 poles on each side of the square. How many poles did he use altogether?

45% of Garima's savings is the same as 25% of Latika's savings. What is the ratio of Garima's savings to that of Latika's savings?

A and B take time in ratio of 2 to 3 to complete a work. If they do the work together, they finish it in 10 days. What part of work was done by A?

Rajan sold a cycle at a loss of Rs. 300. If he had sold it at Rs. 3000, he would have made a profit of Rs. 600. At what price did he sell the cycle?

Ms. Neha needs to replace the batteries in 20 calculators. Each calculator uses 4 batteries. The batteries are sold in packages of 16. How many packages of batteries does Ms. Neha need to buy?

Sasha is using a wooden strip m long to make a picture frame. If she cuts off a piece that is m long, then which fraction best represents the portion that is left of the original strip?

In the number line shown below, PQ = QR = RS. Find the approximate value of Q, R and Q + R.

Which of the following options hold?

Statement 1: If the HCF of two numbers is one of the numbers, then their LCM is the other number.
Statement 2: The LCM of two numbers is greater than the larger of the numbers.

Fill in the blanks:

(i) The opposite sides of a parallelogram are __P__ and __Q__.
(ii) A quadrilateral having only one pair of opposite sides parallel is called a __R__.
(iii) A parallelogram having all the sides equal is called a __S__.

In a maths quiz, there are 20 questions. If all questions are answered correctly, a student's score will be 20; if all questions are answered incorrectly, a student's score will be -20. Part way through this quiz, Varun has a score of 2.

Find his new score, if

(a) he answers 2 of the next 5 questions correctly and 3 of them incorrectly.
(b) he answers 4 of the next 5 questions incorrectly and 1 of them correctly.

There were 180 members in the club last year. The membership decreased by 15% this year. How many members are there this year?