CBSE Class 7 Mathematics IMO Olympiad MCQs with Answers Set D

LOGICAL REASONING

Question. Which of the following Venn diagrams best represents the relationship amongst “Women, Doctors, Anchors”?

Answer : A

Question. Four different positions of a dice are shown below

What is the number opposite to 1?
A. 2
B. 3
C. 5
D. 6
Answer : D

Question. If it is possible to make a meaningful English word with the first, second and fourth letters of the word ARDENT and consonants from the word LAB using each letter only once, the third letter of that word is your answer. If more than one such word can be formed, your answer is ‘N’. If no such word can be formed, your answer is ‘Z’.
A. E
B. N
C. Z
D. B
Answer : B

Question. Group the given figures into three classes using each figure only once.

A. 1, 6, 7; 2, 4, 8; 3, 5, 9
B. 1, 5, 7; 2, 4, 6; 3, 8, 9
C. 1, 4, 7; 2, 5, 8; 3, 6, 9
D. 1, 7, 9; 3, 5, 8; 2, 4, 6
Answer : A

Question. If the given sequence is written in reverse order, then what will be the 6th character to the left of 5th character to the right of 10th character from the right end? D X q – L J # S d F 4 @ z t A e M 8 + P B 1 * Z D O 7 Y
A. @
B. z
C. F
D. 4
Answer : D

Question. Which of the following options satisfies the same condition of placement of the dots as in the Fig. (X)?

Answer : D

Question. In a certain code language, GRASP is coded as BMVNK. How would CRATE be coded in that language?
A. FUDQH
B. HWFSJ
C. GVERI
D. XMVOZ
Answer : D

Question. Which of the following options is exactly embedded in Fig. (X) as one of its part?

Answer : D

Question. If ‘+’ is written as ‘×’, ‘×’ is written as ‘–’, ‘÷’ is written as ‘+’ and ‘–’ is written as ‘÷’, then what is the value of 288 – 32 + 6 × 45 ÷ 9?
A. 0
B. 18
C. 9
D. 81
Answer : B

Question. Rehan started walking straight towards North. He walked a distance of 15 metres and then took a left turn and walked a distance of 30 metres. Then he took a right turn and walked a distance of 15 metres again. In which direction Rehan is facing now?
A. North-East
B. South
C. North
D. South-West
Answer : C

Question. A square transparent Sheet (X) with a pattern is given.
Find the figure from the options as to how the pattern would appear when the transparent sheet is folded along the dotted line

Answer : A

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

A. 117
B. 100
C. 78
D. 63
Answer : C

Question. Select a figure from the options which will continue the same series as established by the Problem figures

Answer : D

Question. If 1 is added to the middle digit of each number and then the first and the second digits are interchanged, then which of the following will be the third digit of the smallest number?
386 752 961 573 839
A. 6
B. 2
C. 9
D. 3
Answer : C

Question. Select the correct mirror image of Fig. (X), if the mirror is placed along PQ.

Answer : B

MATHEMATICAL REASONING

Direction (a - b) : The bar graph below shows the number of books of each type in a school library

Question a. What percentage of books in the library was of Fictional type?
A. 1(1/13)%
B. 5(3/13)%
C. 3(2/13)%
D. 10(10/13)%
Answer : D

Question b. Find the ratio of Fantasy books to the total number of books in the library.
A. 21 : 62
B. 15 : 61
C. 65 : 21
D. 21 : 65
Answer : D

Question. In the figure below (not drawn to scale), ABCD is a square and ∠EDA = 50°. Find the value of w.

A. 220°
B. 190°
C. 150°
D. 200°
Answer : A

Question. The given figure is made up of 9 identical squares and a rectangle. The total area of the 9 squares is 225 cm². Find the perimeter of the figure.

A. 100 cm
B. 110 cm
C. 115 cm
D. 130 cm
Answer : B

Question. Beena is y years old. Raj is three times as old as Beena and Raj is 5 years older than Megha. What is Megha’s age in terms of y?
A. (3y) years
B. (3y + 5) years
C. (3y – 5) years
D. (y – 5) years
Answer : C

Question. There are three types of counters ⚪, ⬜ and △ available. The value of ⚪ is –2, ⬜ is 3, and △ is –1.
Now, each circle below has some of these counters and you are to place some △ inside the circle (if needed) so that overall sum of the counters within each circle gives the result that is shown in the box

How many triangles are added altogether?
A. 13
B. 6
C. 9
D. 16
Answer : D

Question. Which of the following statements is TRUE?
A. The products of fractions are expressed as, Product of the numerators/Product of the denominators.
B. The product of two proper fractions is greater than the individual fractions involved in the operation.
C. The product of a proper and an improper fractionis less than  the proper fraction.
D. When dividing a fraction by a whole number, the fraction is divided by the reciprocal of the whole number.
Answer : A

Question. Which of the following congruence criterion is used to prove ΔABC ≅ ΔXYZ?

A. SSS
B. ASA
C. SAS
D. Both (A) and (B)
Answer : B

Question. If p : Every fraction is a rational number and q : Every rational number is a fraction, then which of the following options hold?
A. p is true and q is false.
B. p is false and q is true.
C. Both p and q are true.
D. Both p and q are false.
Answer : A

Question. Find the value of x.

A. 40°
B. 45°
C. 95°
D. 105°
Answer : C

Question. Which of the following sign will replace the (?) in box?
53.5 ÷ 0.15 – 0.5143 × 100 ? 0.6 ÷ 100 × 24 + 0.9
A. >
B. <
C. =
D. Can't be determined
Answer : A

Question. In which of the following figures a || b?

Answer : D

Question. A path 7 m wide runs along inside a square park of side 92 m. Find the cost of cementing it at the rate of ₹ 260 per 10 m2.
A. ₹ 59480
B. ₹ 65430
C. ₹ 61540
D. ₹ 61880
Answer : D

Question. Which of the following statements is true ?
A. 1 and –1 are reciprocal of themselves.
B. Reciprocal of zero is not defined.
C. The product of two rational numbers is a rational number.
D. All of these
Answer : D

Question. Which of the following steps is INCORRECT while constructing a DABC, given that AB = 5 cm, BC = 6 cm and AC = 7 cm.
Step 1 : Draw a line segment BC of length 6 cm.
Step 2 : With B as centre, draw an arc of radius 5 cm.
Step 3 : With C as centre, draw an arc of radius 6 cm.
Step 4 : Mark the point of intersection of arcs as A. Join AB and AC.
A. Only Step 1
B. Only Step 3
C. Both Step 1 & Step 3
D. Both Step 2 & Step 4
Answer : B

Question. Out of 5 brands of chocolates in a shop, a boy has to purchase the brand which is most liked by children. What measure of central tendency would be most appropriate if the data is provided to him?
A. Mean
B. Mode
C. Median
D. Any of the three
Answer : B

Question. Which of the following equations can be formed starting with x = 0?
A. 2x + 1 = –1
B. x/2 + 5 = 7
C. 3x – 1 = –1
D. 3x – 1 = 1
Answer : C

Question. Simran mixed 75 ml of fruit juice and 225 ml of water to prepare 3 cups of fruit punch. Which of the following shows the right proportion of fruit juice and water if she makes 4 cups of fruit punch?
Fruit Juice Water
A. 100 ml 300 ml
B. 300 ml 100 ml
C. 300 ml 900 ml
D. 900 ml 300 ml
Answer : A

Question. Rahul has 5 red balls and 7 green balls. He choose a ball randomly. Find the probability that the chosen ball is of green colour.
A. 5/12
B. 7/12
C. 1/6
D. 2/3
Answer : B

Question. Find the value of y – x.

A. 1000
B. 540
C. 260
D. 740
Answer : D

EVERYDAY MATHeMATICS

Question. In a basket, 5/9 of the fruits are apples and the rest/are oranges. 3/10 of the apples are green in colour. If there are 15 green apples, then how many fruits are there in the basket?
A. 45
B. 50
C. 90
D. 135
Answer : C

Question. The distance above the ground is represented by positive integers and the distance below the ground by negative integers. An elevator begins to descend from 15 m above the ground at a rate of 5 m per minute. What will be its position after/45 minutes?
A. 210 m
B. –210 m
C. 225 m
D. –225 m
Answer : B

Question. The weight of grain in one store is twice that in the other. If 750 tonnes of grain from the first store and 350 tonnes of grain from the second store are taken out, the weight of grain in both the stores will be the same. Find the weight of grain in each store (in tonnes).
A. 800, 400
B. 400, 200
C. 1200, 600
D. 1000, 500
Answer : A

Question. For investing money in a firm, Roy and Rajesh get interest at the rate of 18% per annum. What interest will they get after 6 years, if they deposit ₹ 10000 with the firm now and ₹ 5000 three years from hence?
A. ₹ 13500
B. ₹ 14020
C. ₹ 15062
D. ₹ 60000
Answer : A

Question. A jar contains 3 blue, 2 black, 6 red and 8 white balls.
If a ball is drawn at random, find the probability that the ball drawn is not red.
A. 12/19
B. 5/19
C. 13/19
D. 10/19
Answer : C

Question. A vehicle covers a distance of 64.8 km in 4.4 L of petrol. How much distance will it cover in 2 L of petrol?
A. 29.45 km
B. 36.38 km
C. 42.39 km
D. 50.03 km
Answer : A

Question. Neha bought a mobile for ₹ 12,500 and sold it at a profit of 13%. How much money did she get for it?
A. ₹ 12,632
B. ₹ 12,926
C. ₹ 13,280
D. ₹ 14,125
Answer : D

Question. Anju saves ₹ 600 from her allowance. If this is 20% of her allowance, what is her allowance?
A. ₹ 2500
B. ₹ 3000
C. ₹ 4500
D. ₹ 4200
Answer : B

Question. A door of dimensions 3 m and 2 m is fitted in a wall. The dimensions of the wall are 10 m and 9 m. Find the cost of whitewashing the wall, if the rate of whitewashing is ₹ 4 per m².
A. ₹ 336
B. ₹ 315
C. ₹ 250
D. ₹ 275
Answer : A

Question. The average age of Rahul, Amit, Vijay and Salman is 4q years old. Rahul is 2q years old, Amit is q years old and Vijay is 14 years old. How old is Salman?
A. (14q) years
B. (13q) years
C. (14q – 13) years
D. (13q – 14) years
Answer : D

ACHIEVERS SECTION

Question. Select the correct match

Answer : B

Question. Fill in the blanks.
A number that can be expressed in the form p/q , where p and q are __(i_)__ and ___(ii_)__ is called a rational number. All __(_iii_)__ and __(_i_v_)__ are rational numbers. ___(_v_)__ is neither a positive nor a negative rational number.

Answer : B

Question. Study the statements carefully.
(P) The line segment joining a vertex of a triangle to the mid point of its opposite side is called a median of the triangle. A triangle has 3 medians.
(Q) The perpendicular line segment from a vertex of a triangle to its opposite side is called an altitude of the triangle. A triangle has 3 altitudes.
Which of the following options hold?
A. Both (P) and (Q) are true.
B. Both (P) and (Q) are false.
C. (P) is true, (Q) is false.
D. (P) is false, (Q) is true.
Answer : A

Question. In the figure below, the square ABCD is made up of two parts, X and Y. The part X, is formed by a semicircle and the line AB. The perimeter of X is 36 cm and the perimeter of the shaded part Y, is 64 cm.

(a) Find the perimeter of the square ABCD.
(b) Find the area of the shaded part Y.
       (a)          (b)
A. 58 cm    129 cm²
B. 56 cm    129 cm²
C. 58 cm    119 cm²
D. 56 cm    119 cm²
Answer : D

Question. The area of rectangle ABCD below is 180 cm².
EF divides the rectangle into two equal parts.
If DP = PQ = QC, find the ratio of the area of ΔDFQ to the area of ΔDEF.

A. 1 : 3
B. 3 : 2
C. 2 : 3
D. 3 : 1
Answer : C