CBSE Class 7 Mathematics IMO Olympiad MCQs with Answers Set H

LOGICAL REASONING

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

Answer : C

Question. A man walks 6 km to the East and then turns to the South and walks 5 km. Again he turns to the East and walks 6 km. Next, he turns north wards and walks10 km. How far is he now from his starting point?
A. 5 km
B. 12 km
C. 13 km
D. 17 km
Answer : C

Question. Arrange the given words as they occur in the dictionary.
1. Honour
2. Honest
3. Humour
4. Hungry
5. Huge
A. 2, 1, 3, 4, 5
B. 2, 1, 5, 3, 4
C. 1, 2, 3, 4, 5
D. 3, 1, 2, 5, 4
Answer : B

Question. Select the correct water image of Fig. (X).

Answer : A

Question. If '–' stands for 'division', '+' stands for 'multiplication', '÷' stands for 'subtraction' and '×' stands for 'addition', then which of the following statements is CORRECT?
A. 265 ÷ 11 + 2 – 14 = 22
B. 46 + 10 ÷ 10 – 5 = 92
C. 66 – 3 + 11 ÷ 12 = 230
D. 2 + 14 – 4 ÷ 11 = 16
Answer : C

Question. Consider the following arrangement and answer the question that follows:
628 527 431 293 872 If the middle digit of the greatest number is subtracted from the middle digit of the smallest number after adding one to each of the numbers of the given 
arrangement, then which of the following numbers will be obtained ?
A. 3
B. 5
C. 2
D. 0
Answer : C

Question. Which of the following Venn diagrams correctly describes the relationship amongst "Scientists, Car owners, Females"?

Answer : A

Question. There is a certain relationship between figures (1) and (2). Establish a similar relationship between figures 
(3) and (4) by selecting a suitable figure from the options which will replace the (?) in figure (3).

Answer : B

Question. The question consists 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. Select a figure from the options which would most closely resemble the unfolded form of Fig. (Z).

Answer : B

Question. Find the missing number

A. 46
B. 48
C. 59
D. 68
Answer : C

Question. Q is the brother of R. P is the sister of Q, T is the brother of S and S is the daughter of R. Who are the cousins of Q?
A. R and P
B. P and T
C. Q and T
D. S and T
Answer : A

Question. In a certain code language, 'HOLIDAY' is written as 'ACFKNQJ, then how will 'STUDENT' be written in the same code language
A. VPGFWVU
B. UVWFGPV
C. VPGUVWF
D. URWBGLV
Answer : A

Question. Count the number of cubes in the given figure.

A. 78
B. 75
C. 80
D. 82

Answer : B

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

Answer : B

Question. In a row of boys. Raghav is fifth from the left end and Sourav is eleventh from the right end. If Raghav is twenty fifth from the right end, then how many boys are there between Raghav and Souray?
A  14
B. 13
C. 15 
D. 12
Answer : B

MATHEMATICAL REASONING

Question. Which of the following rational numbers satisfies the given property?

Answer : D

Question. Find the area of the shaded portion of the given figure (not drawn to scale).

A 100 cm²
B. 110 cm²
C. 120 cm²
D. 125 cm²
Answer : B

Question. In the given figure (not drawn to scale), if EFA is a right-angled triangle with ∠EFA = 90° and FGB is an equilateral triangle, then find the value of y – 2x.

A. 2°
B. 8°
C. 17°
D. 20°
Answer : A

Question. Solve for x : (x – 4) (x + 4) = 54 + (x – 5) (x – 10)
A. 4
B. 8
C. –8
D. 2
Answer : B

Question. Which of the following statements is INCORRECT?
A. Probability of an event can never exceed 1.
B. The median of the data 21, 26, 16, 29, 32 is 16.
C. The mode of a set of data is the value which occurs most often.
D. Double bar graphs are used to compare two sets of data.
Answer : B

Question. In the given figure (not drawn to scale), ABC is a triangle and BC = BD. Find the value of y.

A. 73°
B. 74°
C. 75°
D. 76°
Answer : D

Question. Read the following statements carefully.
1. 48.95 – 32.006 = 16.944
2. 4 + 4.44 + 0.4 + 44.04 = 52.87
3. 101(27/100000) = 101.00027
Which of the given statements is/are CORRECT
A. Only 1
B. Only 2
C. Both 1 and 3
D. Both 2 and 3
Answer : C

Question. Which of the following does not represent an integer?
A. 0 ÷ (5)
B. 15 ÷ (–3)
C. (–8) ÷ 2
D. (–13) ÷ 3
Answer : D

Question. In ΔABC and ΔLMN, AB = LM and BC = MN. Which of the following conditions can make the two triangles congruent?
A. ∠A = ∠L
B. ∠B = ∠M
C. ∠C = ∠N
D. All of these
Answer : B

Question. If a = (1/10)², b = 1/5 and c = 1/10. then, b = and c = , then which of the following statements is CORRECT?
A. a < b < c
B. a < c < b
C. b < c < a
D. c < a < b
Answer : B

Question. Simplify : (3x + 2/4y)² - (3x - 2/4y)²
A. 3x/y
B. 3x/2y
C. 6x/y
D. 9x/4y
Answer : C

Question. By which congruency criterion, the two triangles in the given figure are congruent?

A. RHS
B. SSS
C. SAS
D. ASA
Answer : B

Question. The given bar graph shows the number of pupils who participated in the fitness test on different days of the week.

What percentage of the total number of pupils had their fitness test on Wednesday?
A. 30%
B. 25%
C. 22.5%
D. 27.5%
Answer : B

Question. The figure (not drawn to scale), shows a triangular plot of land, ABC. AC is a straight line. Find the area of the plot of land.

A. 2750 m²
B. 1200 m²
C. 2000 m²
D. 1500 m²
Answer : B

Question. The following are the steps involved in finding the value of x : y, if 3x + 4y / 2x + 5y = 4/5  Arrange them in sequential order from the first to the last.
1. 9x + 12y = 8x + 20y
2. Given, 3x + 4y / 2x + 5y = 4/5
3. x/y = 8 ⇒ x : y = 8:1
4. 3(3x + 4y) = 4(2x + 5y)
5. x = 8y
A. (2)→(4)→(1)→(5)→(3)
B. (2)→(4)→(3)→(5)→(1)
C. (2)→(1)→(4)→(5)→(3)
D. (2)→(1)→(4)→(3)→(5)

Answer : A

Question. In which of the following cases, a triangle CANNOT be drawn?
A. An isosceles triangle with the length of each equal side 7.5 cm.
B. BC = 6 cm, ∠B = 90° and ∠C = 120°
C. AB = 6 cm, BC = 10° and CA = 5 cm
D. XY = 8 cm, ∠X = 30° and ∠Y = 60°
Answer : B

Question. Which of the following options shows the numbers arranged in ascending order?
A. − 6/7 < 8/7 < 4/7 < 5/7
B. − 5/2 < 5/4 < 5/7 < 5/9
C. − 2/9 < 3/7 < 4/5 < 6/5
D. − 5/4 < 7/3 < 2/9 < 6/7
Answer : B

Question. What fraction of the given square is shaded ?

A. 33/72
B. 14/53
C. 31/72
D. 29/53
Answer : A

Question. Mr Gupta asked two of his students to solve the expression (9a³b^-8/81a^-5b²)^{- 1/2} and write the answer on
the blackboard. Aryan wrote the answer as 3 a^–4b⁵ whereas Ayan wrote the answer as 3b⁵/a⁴. Who wrote the correct answer?
A. Aryan
B. Ayan
C. Both of them
D. None of these
Answer : C

Question. Which of the following properties is not satisfied by the whole numbers under multiplication?
A. Closure
B. Associative
C. Commutative
D. None of these

Answer : D

EVERYDAY MATHEMATICS

Question. Priya invests 1/3 of her capital at 7% p.a., 1/4 at 8% p.a. and the remainder at 10% p.a. If her annual income is ₹ 561, then find the capital.
A. ₹ 5400
B. ₹ 6000
C. ₹ 6600
D. ₹ 7200
Answer : C

Question. A floor measuring 2 m by 1.5 m is to be covered with tiles measuring 25 cm by 25 cm. Find the number of tiles required to cover the floor and the cost of the tiles at ₹ 420 per dozen.
A. 24, ₹ 1380
B. 48, ₹ 1680
C. 48, ₹ 1285
D. 24, ₹ 2000
Answer : B

38. Akash is younger than Vineet by 5 years. If their ages are in the respective ratio of 3 : 4, then how old is Akash?
A. 25 years
B. 15 years
C. 20 years
D. 23 years
Answer : B

Question. A student has to score 40% of the maximum marks to pass. Alisha scored 255 marks and failed by 45 marks. Calculate the maximum marks.
A. 450
B. 500
C. 550
D. 750
Answer : D

Question. Shubh and Naksh donate some money in a Relief Fund. The amount paid by Naksh is ₹ 125 more than that of Shubh. If the total money paid by them is ₹ 975, find the amount of money donated by Shubh.
A. ₹ 420
B. ₹ 510
C. ₹ 455
D. ₹ 425
Answer : D

Question. Kirti bought a plot of land in the outer of the city for ₹ 32,50,000. She built a wall around it for which she spent ₹ 1,75,000. Then she wants to sell it at ₹ 40,00,000 by making an advertisement in the television which costs her ₹ 15,000. Find her profit percent.
A. 16.28%
B. 13.27%
C. 14.52%
D. 15.25%
Answer : A

Question. A box contains apples, oranges and bananas. The probability of selecting an orange is 5/17 and that of selecting a banana is 8/17 . A fruit is selected at random.
Find the probability that selected fruit is an apple.
A. 4/17
B. 3/17
C. 5/17
D. 8/17
Answer : A

Question. A certain sum was divided between Priya and Yashika in the ratio 5 : 6. If Yashika's share was ₹ 2400, find the total sum.
A. ₹ 4800
B. ₹ 4400
C. ₹ 3200
D. ₹ 2800
Answer : B

Question. A man from his total savings gave ₹ 5489.38 to his daughter and ₹ 12364.57 to his wife. He had still ₹ 20,000 left with him. Find his total savings.
A. ₹ 37583.68
B. ₹ 37853.95
C. ₹ 27593.49
D. ₹ 47853.95
Answer : B

Question. A company's production department produces 6250 items in a day. After 30 days of regular work, these items were equally distributed to 50 dealers in different states. The number of items each dealer got is ________.
A. 3500
B. 3250
C. 3750
D. 4250
Answer : C

ACHIEVERS SECTION

Question. Read the statements carefully and state 'T' for true and 'F' for false.
(i) The difference between the lengths of any two sides of a triangle is larger than the length of the third side.
(ii) The measure of any exterior angle of a triangle is equal to the sum of the measures of its interior opposite angles.
(iii) In an equilateral triangle, only one angle is acute.
(iv) The line segment joining a vertex of a triangle to the mid point of its opposite side is called an altitude of the triangle.
    (i)  (ii) (iii) (iv)
A. T    F   T     F
B. F    T   F     F
C. F    F   T     T
D. F    T   T     F
Answer : B

Question. The given bar graph represents Demand and Production for five companies A, B, C, D and E. On the basis of the graph, answer the following questions

(a) If x% of demand for company C equals demand for company B, then x equals
(b) The ratio of the number of companies having more demand than production to those having more production than demand is
     (a)   (b)
A. 20 4 : 1
B. 20 3 : 2
C. 60 2 : 2
D. 20 9 : 10
Answer : B

Question. Fill in the blanks and select the CORRECT option.
(i) A line cutting two parallel lines making pairs of corresponding and alternate angles is called __P___.
(ii) If ∠m = 82° and ∠n = 98°, then ∠m and ∠n are __Q__ angles.
(iii) An angle which is half of its supplement is of measure __R__.
(iv) The angle (x – 50°) and (140° – x) are __S ___ angles.
           P                        Q                      R                   S
A. Parallel            Supplementary         30°      Complementary
B. Transversal     Complementary        60°      Supplementary
C. Parallel            Complementary       30°      Supplementary
D. Transversal     Supplementary         60°      Complementary
Answer : D

Question. Read the given statements carefully and select the CORRECT option.
Statement-1 : A person lent certain sum of money at 4% simple interest. In 5 years, the interest amounted to ` 520 less than the sum lent. Then the sum lent was ` 650.
Statement-2 : If an investment triples itself in 30 years, then the rate of simple interest is 7(1/3)% .
A. Both Statement-1 and Statement-2 are true.
B. Both Statement-1 and Statement-2 are false.
C. Statement-1 is true but Statement-2 is false.
D. Statement-1 is false but Statement-2 is true.
Answer : C

Question. Match the following.

      P  Q   R   S
A. (c) (d) (b) (a)
B. (c) (a) (d) (b)
C. (d) (c) (b) (a)
D. (a) (b) (c) (d)
Answer : A