IMO - Mock Test...

Directions: Select a figure from the options, which will continue the same series as established by the Problem Figures.

In a certain code language, the word PATIENCE is written as TPNIEECA. How will the word SPACIOUS be written in that language?

Find the mirror-image of the given combination of letters, if the mirror is placed vertically to the right.

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

Directions: There is a certain relationship between figures (P) and (Q). Establish a similar relation between figures (R) and (S) by selecting a suitable figure from the given options that will replace (?) in figure (S).

The following question is based on the information given below :

(1) S × T means S is the brother of T.
(2) S - T means S is the mother of T.
(3) S ÷ T means S is the father of T.

Which of the following options means M is the son of Q?

Select a figure, from the options, which satisfies the same condition of placement of dots as in Fig. (X).

Seven boys are standing in a circle facing to the centre. B is standing to the right of A after two boys. C is standing left side of B after four boys. C is standing between D and F. B is standing beside F. G is standing to the immediate right of E. E is standing to the immediate right of A.

Who is standing to the immediate left of B?

Directions: The given question consists of a set of three figures X, Y and Z showing a sequence of folding of a piece of paper. Fig. Z shows the manner in which the folded paper has been cut. Choose a figure from the options which would most closely resemble the unfolded form of piece of paper.

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

If '+' is written as '÷', '÷' is written as '-', '-' is written as '×' and '×' is written as '+', then 110 + 11 - 10 ÷ 100 × 96 = ?

Two positions of a dice are shown here. When 4 dots are at the bottom, the number of dots at the top will be __________.

Which of the following Venn diagrams best represents the relationship among ''Diseases, Typhoid, Pneumonia''?

Amit, Raj, Varun, Shivam and Ali go into a shop.

Only Shivam buys a samosa.
Only Raj, Varun and Ali buy a chocolate.
Everyone except Raj buy an ice cream.
Raj is the only one who buys toffees.
Nobody except Amit and Varun chooses a burger.
Each of the boys buy a packet of chips.

Who among the following buys the maximum number of items?

If 1 is added to the middle digit and 1 is subtracted from the last digit of each of the following numbers, then what will be the sum of the digits of the highest number so formed?

248 635 432 781 605

Which of the following is true about a triangular prism?

Simplify: (1² + 2² + 3² + 4²)^1/3 × (1³ + 2³ + 3³ + 4³)^1/3 × (2² + 3² - 5 × 2)^2/3

The value of is _____.

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

In the given figure, EB is the diagonal of square EDBA. Find CEF and ECD.

If x² + = 16, then find the value of x + .

The given figure shows 3 different views of a three-dimensional figure constructed using cubes. Which could be the correct option?

Find the probability of getting 'A' from the word ATTACHES.

When the interest is compounded quarterly, the amount (A) is calculated by:
(P = Principal, r = Rate of interest, n = Time period)

If x : y = 2 : 3 and 2 : x = 1 : 2, then find the value of y.

If 35% of a number is 12 less than 50% of that number, then the number is ______.

The approximate value of is

Given below are the steps of construction of a quadrilateral ABCD, where AB = 5.6 cm, BC = 4.1 cm, CD = 4.4 cm, AD = 3.3 cm and = 75°. Which of the following is INCORRECT step?

Step-I: Draw AB = 5.6 cm and construct BAX = 75°.
Step-II: With A as centre and radius = 3.3 cm, cut off AD = 3.3 cm along AX.
Step-III: Join BD. With D as centre and radius = 4.1 cm, draw an arc.
Step-IV: With B as centre and radius = 4.1 cm, draw an arc to cut the arc drawn in above step at C. Join BC, CD to obtain the required quadrilateral ABCD.

A spinner is made from a regular octagon. What is the probability of getting the number 2?

The radius of a wheel is 0.25 metres. Find the number of revolutions it will make to travel a distance of 11 km.

Which of the following conditions vary directly?

In the following figure, ABDH and CEFG are two parallelograms. Find the value of x.

In two triangles ABC and DEF, if AB = BC, B = E, DE = EF and BC = EF, then which of the following statements is CORRECT?

If = 0.004 × 0.4 × , then a/b is equal to

Simplify:

A train 270 m long is moving with a speed of 25 km/hr. In what time will it cross a man coming from the opposite direction with a speed of 2 km/hr in which the train is moving?

An urn contains 2 red, 3 green and 2 blue balls. If a ball is drawn at random, then find the probability that the ball is not blue.

A shopkeeper offers 3.5% discount on cash purchases. What cash amount would Trishi pay for a dress, if the marked price of the dress is Rs. 1250?

15 litres of mixture contains 20% alcohol and the rest water. If 3 litres of water be mixed with it, the percentage of alcohol in the new mixture would be:

In a garden, there are as many trees in a row as there are number of rows in the garden. If there are 576 trees in the garden, find the number of trees in a row.

A rectangular garden 200 m long and 150 m wide has a path all around it, on the inner side, having a width of 3 m. In the centre of this plot, there is a circular pond of radius 7 m. What area of the land is left for the lawn and the flower beds?

Present ages of Sunita and Anand are in the ratio of 5 : 4, respectively. Three years hence, the ratio of their ages will become 11 : 9, respectively. What is Anand's present age (in years)?

A shopkeeper offers 2.5% discount on cash purchases. What cash amount would Rohan pay for a cycle whose marked price is Rs. 650?

A house is purchased by Mohit, Arun and Armaan. Arun contributes of Mohit's contribution, while Armaan contributes of Mohit's contribution. If Mohit's contribution is Rs. 15,00,000, then find the contribution of Armaan and Arun.

A wall is 5 times as high as it is broad and 8 times as long as it is high. If the volume of the wall is 12.8 m³, then find the breadth of the wall.

Select the CORRECT option. In the options, T and F stand for true and false, respectively

(i) Compound interest is calculated by using the formula, C.I. = P.
(ii) The simple interest and the compound interest on the same principal for same time period (> 1 year) and at the same rate of interest are not equal.
(iii) If a sum of Rs. 2000 becomes Rs. 2600 after three years, then rate of simple interest is 10% per annum.
(iv) In case of compound interest, the principal remains constant throughout the time period.

Which of the following options is CORRECT?

Match the following:

The given pie chart shows the number of students who like different subjects. If a student is selected at random, then which of the following options is correct?

Which of the following statements is/are true?

Statement 1: Gagan bought a plot of land for Rs. 2,35,000. If he built a boundary wall around the plot and leveled the land and sold it for Rs. 35,00,000, thus making a profit of 40% on his investment, then he spent Rs. 22,65,000 on the boundary wall and leveling the land.
Statement 2: In a festive season, a retailer sells readymade clothes at a discount of 20% and still gains 20%. If the marked price for a pair of jeans is Rs. 4200, then the retailer's cost price is Rs. 4000.