CBSE Class 7 Mathematics IMO Olympiad MCQs with Answers Set G

LOGICAL REASONING

Question. If 'Orange' is called 'Butter', 'Butter' is called 'Soap', 'Soap' is called 'Ink', 'Ink' is called 'Honey' and 'Honey' is called 'Sugar', then which of the following is used for washing clothes?
A. Honey
B. Butter
C. Sugar
D. Ink
Answer : D

Question. Select a figure from the options which will complete the pattern given in Fig. (X).

Answer : D

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

A. 52
B. 54
C. 64
D. 70
Answer : B

Question. There is a certain relationship between figures (i) and
(ii). Establish the same relationship between figures
(iii) and (iv) by selecting a suitable figure from the options which will replace the (?) in figure (iv).

Answer : D

Question. After walking 3 km, Madhu turned right and covered a distance of 4 km, then turned towards left and covered a distance of 1 km. At the end, she was moving towards North. In which direction, did she start the journey?
A. East
B. West
C. North
D. South
Answer : C

Question. The sheet of paper shown in Fig. (X) is folded to form a box. Choose the box from the options that will not be formed

Answer : A

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

Answer : D

Question. Select a term from the options which will continue the given series.
B35Y, D30W, F25U, H20S, ?
A. I25S
B. I20R
C. J15Q
D. J15R
Answer : C

Question. Pointing to a photograph, Manish said, "He is the son of the only daughter of the father of my brother." How is Manish related to the man in the photograph?
A. Brother-in-law
B. Brother
C. Maternal uncle
D. Father
Answer : C

Question. If it is possible to make a meaningful English word with the second, third, sixth, ninth and eleventh letters of the word PREDOMINANT, then the third letter of the word is the answer. If no meaningful word is formed, give 'X' as your answer. If more than one words are formed, give 'Y' as your answer.
A. T
B. X
C. M
D. Y
Answer : D

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

A. 15
B. 18
C. 20
D. None of these
Answer : B

Question. Find the correct mirror image of Fig. (X), if the mirror is placed vertically to the left.

Answer : A

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

Answer : C

Question. Which of the following Venn diagrams correctly represents the relationship amongst "Swimmers,
Women and Cricketers"?

Answer : B

Question. Select a figure from the options that will complete the following figure matrix.

Answer : A

MATHEMATICAL REASONING

Question. The following are the margins of victory in the matches of a football league :
3, 2, 1, 5, 6, 4, 2, 1, 3, 1, 2, 1, 4, 2, 5, 5, 6, 2, 3, 2.
Find the mean of the data.
A. 2
B. 3
C. 2.5
D. 3.5
Answer : B

Question. In the given diagram, PQU is an equilateral triangle, QRVU is a rhombus and RSTU is a square. Find the perimeter (in cm) of the whole diagram.

A. 17
B. 21
C. 26
D. 27
Answer : D

Question. In the given figure (not drawn to scale), ABC and DBE are straight lines. Find the value of y.

A. 38°
B. 142°
C. 52°
D. 68°
Answer : C

Question. If a : b = 2 : 3, then (3a + 2b) : (5a + 3b) is equal to ______.
A. 13/20
B. 24/19
C. 12/19
D. 13/21
Answer : C

Question. Compare and fill the box with >, < or =.
3 45 - 675 + 2 05 / 0 29 0426 0 6 ⬜ 0 175 - 0 7 - 0 45 / 5 95 825 2 40
A. <
B. =
C. >
D. Can't be determined
Answer : C

Question. Which of the following options is CORRECT?
A. Two rational numbers with different denominators can never be equal.
B. The rational number − 2/3 lies on the right of 0 on the number line.
C. Difference of two rational numbers is always a rational number.
D. The standard form of −18/−24 is − 3/4.
Answer : C

Question. The following number line shows the temperature in degree celsius (°C) at different places (P to T) on a particular day.

What is the difference in temperature between the hottest and coldest places as shown on the number line?
A. 30 °C
B. 39 °C
C. 15 °C
D. 40 °C
Answer : B

Question. In the given figure, if ΔOAP ≅ ΔOBQ, then which of the following is NOT true?

A. AO = BO
B. AP = BQ
C. PO = BO
D. ∠APO = ∠BQO
Answer : C

Direction (a - b) : The given double bar graph shows the buyers of DVDs and CDs. Study the graph and answer the following questions.

Question a. In which music category the difference between DVD buyers and CD buyers is minimum?
A. Folk
B. Classical
C. Jazz
D. Pop
Answer : D

Question b. What is the ratio of Pop music CD buyers to the Jazz music DVD buyers?
A. 6 : 7
B. 11 : 16
C. 11 : 14
D. 3 : 4
Answer : B

Question. In the given figure, CD||AB. Find the value of y.

A. 40°
B. 60°
C. 80°
D. 50°
Answer : B

Question. A triangle can be constructed by taking its sides as ________.
A. 1.8 cm, 2.6 cm, 4.4 cm
B. 2 cm, 3 cm, 4 cm
C. 2.4 cm, 2.4 cm, 6.4 cm
D. 3.2 cm, 2.3 cm, 5.5 cm
Answer : B

Question. Simplify

A. 63(4/81)
B. −23(7/9)
C. −67(7/9)
D. 12(6/17)
Answer : C

Question. Solve for x :
(x + 6)(x – 6) – (x – 5)2 = 40 – 17 (x – 2).
A. 3
B. – 4
C. 5
D. 0
Answer : C

Question. Given that LM||NQ, ∠LMP = 135° and ∠QNP = 120°.
Find the value of x.

A. 60°
B. 75°
C. 135°
D. 120°
Answer : B

Question. Which of the following number line represents –3 – 4 ?

Answer : C

Question. How many more unit squares in the figure must be shaded so that the fraction of unshaded squares becomes 2/5 ?

A. 5
B. 6
C. 3
D. 2
Answer : B

Question. In the given figure, state whether the triangles are congruent and choose the correct order.

A. Yes, ΔABC ; ΔDCE
B. No, they are not congruent
C. Yes, ΔDCE ; ΔCAB
D. Yes, ΔDEC ; ΔCAB
Answer : B

Question. In the given figure (not drawn to scale), ABCD is a rectangle. ED = 16 cm, FG = FC = 8 cm, BF = 20 cm and FG is perpendicular to BC. If CD is half of AD, then find the area of the shaded region (in cm²).

A. 320
B. 325
C. 220
D. 225
Answer : C

Question. If

A. 5/4
B. 3/2
C. 3/4
D. 5/2
Answer : D

EVERYDAY MATHEMATICS

Question. 5(1/4)kg of oranges and 2(3/5)kg of grapes were bought together by Alisha from the supermarket. What is the total weight of the fruits will she be carrying out of supermarket?
A. 8(5/13)kg
B. 7(17/20)kg
C. 7(17/21)kg
D. 8(9/13)kg
Answer : B

Question. A 120 m long ladder reached a window 72 m from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.
A. 85 m
B. 92 m
C. 96 m
D. 82 m
Answer : C

Question. A shopkeeper sells bananas in two types of boxes, one small and one large. A large box contains as many as 6 small boxes plus 2 loose bananas. Form an equation which gives the number of bananas in each small box, if the number of bananas in 1 large box is 50.
A. 3x + 1 = 50
B. x + 1 = 20
C. 6x + 2 = 50
D. 2x + 1 = 20
Answer : C

Question. Shivam rolled a dice once. What is the probability of getting a number multiple of 3?
A. 1/2
B. 2/3
C. 1/3
D. 3/4
Answer : C

Question. Sahil is 15 years older than his nephew. Three years hence, his age will be twice the age of his nephew.
Find the present age of Sahil's nephew.
A. 15 years
B. 12 years
C. 13 years
D. 10 years
Answer : B

Question. The average height of 20 students of a class is 105 cm. If ten more students of average height of 120 cm join the class, then the average height of the class is _________.
A. 115 cm
B. 117.5 cm
C. 112.5 cm
D. 110 cm
Answer : D

Question. Sonali invests money in three different schemes for 6 years, 10 years and 12 years at 10% p.a., 12% p.a. and 15% p.a. at simple interest respectively. At the completion of each scheme, she gets the same interest.
What is the ratio of her investments?
A. 6 : 3 : 2
B. 3 : 2 : 1
C. 3 : 4 : 5
D. 2 : 3 : 6
Answer : A

Question. Divya wants to fence the rectangular garden in front of her house. The dimensions of the garden are 15 m and 25 m. Find the cost of fencing the garden at the rate of ₹ 12.25 per metre.
A. ₹ 1020
B. ₹ 760
C. ₹ 980
D. ₹ 960
Answer : C

Question. A shopkeeper sells two televisions for ₹ 1955 each, gaining 15% on one and losing 15% on other. Find his gain or loss percent in the whole transaction.
A. Profit, 2(1/4)%
B. Profit, 3%
C. Loss, 2(1/4)%
D. Loss, 3%
Answer : C

Question. A certain freezing process requires room temperature be lowered from 50 °C at the rate of 6 °C every hour.
What will be the room temperature 12 hours after the process begins?
A. 22 °C
B. 30 °C
C. –22 °C
D. –30 °C
Answer : C

ACHIEVERS SECTION

Question. Read the statements carefully and select the correct option.
Statement-I : The product of an integer and a rational number can never be a natural number.
Statement-II : The quotient of division of an integer by a rational number can never be an integer.
A. Both Statement-I and Statement-II are true.
B. Both Statement-I and Statement-II are false.
C. Statement-I is true but Statement-II is false.
D. Statement-I is false but Statement-II is true.
Answer : B

Question. Given that ∠ACD is 4° more than ∠CDE and ∠CDE is 22° more than ∠DAC. Also, the sum of ∠BCE and ∠BDE is 26° and ∠EBF = 80°. Find the value of x.

A. 40°
B. 30°
C. 60°
D. 75°
Answer : B

Question. The area of a square and a rectangle are equal. If side of the square is 50 cm and breadth of the rectangle is 30 cm. Find :
(i) Length of the rectangle.
(ii) Perimeter of the rectangle.
        (i)                (ii)
A. 80 cm        225 cm
B. 83.3 cm     226.6 cm
C. 89.2 cm     226.6 cm
D. 75.5 cm     225.5 cm
Answer : B

Question. Match the following

A. P → (iii); Q → (ii); R → (iv); S → (i)
B. P → (ii); Q → (iii); R → (iv); S → (i)
C. P → (ii); Q → (iv); R → (iii); S → (i)
D. P → (iv); Q → (iii); R → (ii); S → (i)
Answer : B

Question. State 'T' for true and 'F' for false and select the correct option.
(i) If the area of a rectangle PQRS is 50 cm2 and PQ : QR is 2 : 1, then PQ = 10 cm and QR = 5 cm.
(ii) Sonali has total 120 red and black pens. If 30% of them are black, then there are 40 red pens and 80 black pens.
(iii) If 1/z : 1/y : 1/z  = 4 : 5 : 6, then x : y : z = 6 : 5 : 4.
(iv) If the speed of three cars is in the ratio 3 : 4 : 5, then the ratio of time taken by these cars to travel the same distance is 20 : 15 : 12.
    (i)   (ii)   (iii)  (iv)
A. F     T     F     T
B. F     T     T     F
C. T     F     F     T
D. T     T     F     F
Answer : C