CBSE Class 7 Mathematics IMO Olympiad MCQs with Answers Set F

LOGICAL REASONING

Question. In a certain code, ‘LINGER’ is written as 123456 and ‘FORCE’ is written as 78695, then how is ‘FIERCE’ be written in that code?
A. 127569
B. 725695
C. 345677
D. 526789
Answer : B

Question. Four positions of a dice are shown below.

How many dots will be on the face opposite to the face which contains 3 dots?
A. 2
B. 5
C. 4
D. 6
Answer : B

Question. If 1 is subtracted from the last digit of each of the given numbers, then the sum of the digits of how many of them are prime numbers?
972 526 487 359 251
A. None
B. Two
C. One
D. Three
Answer : B

Question. Select the option which has the same components as that in the given Fig. (X).

Answer : B

Question. Study the Venn diagram and identify the student who likes ice-cream and cake, but not chinese?

A. E
B. F
C. D
D. B
Answer : B

Question. Study the following information carefully and answer the question.
• Five persons Supriya, Nikhil, Avnish, Nipun and Sunita are sitting around a dining table.
• Supriya is the mother of Avnish, who is the husband of Sunita.
• Nipun is the brother of Supriya.
• Nikhil is the husband of Supriya.
How is Nikhil related to Sunita?
A. Father-in-law
B. Husband
C. Father
D. Brother-in-law
Answer : S

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

Answer : C

Question. Six friends are sitting around a circle facing the centre.
Varun is between Rahul and Ankit, Amit is between Latika and Garima, Rahul and Latika are opposite to each other. Garima is to the left of Amit.
Who are the neighbours of Latika?
A. Rahul and Varun
B. Varun and Amit
C. Amit and Ankit
D. Garima and Amit
Answer : C

Question. How many minimum number of straight lines are required to form the given figure?

A. 19
B. 21
C. 20
D. 18
Answer : C

Question. If all the digits are dropped from the given below arrangement, which of the following will be fourth to the left of the seventh from the right end?
D 5 4 I H * $ K E 3 L B @ A R M 1 6 F % J £ 2 7 C G 9
A. B
B. @
C. L
D. A
Answer : S

Question. If ‘you’ stands for ‘÷’, ‘are’ stands for ‘+’ and ‘great’ stands for ‘×’, then what will be the value of ‘50 you 2 are 3 great 4’?
A. 32
B. 37
C. 47
D. 73
Answer : B

Question. Select a figure from the options which shows the correct mirror image of Fig. (X).

Answer : B

Question. Select a figure from the options which does not satisfies the same condition of placement of the dots as in Fig. (X).

Answer : D

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

Answer : A

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

Answer : B

MATHEMATICAL REASONING

Question. The six-day forecast for Antarctica lists the temperatures (in Celsius) as –52°C, –53°C, –40°C, –58°C, – 70°C, –79°C. Which choice shows the temperatures in order from the lowest to the highest?
A. –79°C, –70°C, –52°C, –53°C, –40°C, –58°C
B. –52°C, –53°C, –58°C, –70°C, –79°C, –40°C
C. –79°C, –70°C, –58°C, –53°C, –52°C, –40°C
D. –40°C, –52°C, –53°C, –58°C, –70°C, –79°C
Answer : C

Question. Which of the following statements is true ?
A. −3/5 lies to the right of zero on the number line.
B. The rational numbers −17/−13 and −7/17 lie on the same side of zero.
C. The rational numbers −4/ −5 and −4/5 lie on opposite side of number line.
D. All of these
Answer : C

Question. Which of the following options represents 8 shaded parts?

Answer : D

Question. In the given figure, if AC ||OD and AO||EF. Then, measure of x and y respectively is

A. 75°, 85°
B. 95°, 85°
C. 75°, 75°
D. 95°, 75°
Answer : A

Question. In the given figure, RQ = RS and ∠PRQ = ∠PRS, then which of the following is true?

A. PQ = PS
B. DPRQ ≅ DPRS
C. ∠PSR = ∠PQR
D. All of these
Answer : D

Question. For which equation(s) is x = 3 a solution?
I. 2x – 5 + 3x = 10
II. − x+7/2 = 2
III. 4x – 11 = 17
IV. 9 = – (x – 1) + 11
A. I only
B. I and II
C. I, II and III
D. I, II and IV
Answer : D

Question. In what time will ` 72 become ` 81 at 6(1/4)% p.a. simple interest?
A. 2 years
B. 3 years
C. 2 years 6 months
D. 4 years
Answer : A

Question. Trishika is x years old. Her brother, Samrath is 7 years younger than her. What is their average age?
A. (x+7/2)years
B. (x − 7/2)years
C. (2x+7/2)years
D. (2x-7/2)years
Answer : D

Question. The given figure is divided into equal squares. How many squares should be shaded to show 40% of the whole figure shaded?

A. 3
B. 7
C. 14
D. 5
Answer : C

Question. Select the correct match.
    Exponent   Base    Value
A. 34                3          87
B. 25                5          32
C. 43                4          64
D. 52                5         125
Answer : C

Question. If AB ⊥ BC, BD ^ AC, CE bisects ∠C and ∠A = 30°, then ∠CED =

A. 30°
B. 60°
C. 45°
D. 65°
Answer : B

Question. Express 80 g as a ratio of 1/2 kg.
A. 2 : 25
B. 4 : 25
C. 1 : 160
D. 9 : 160
Answer : B

Question. Find the order of rotation of the given alphabets.

A. 1, 1
B. 2, 1
C. 3, 2
D. 4, 2
Answer : A

Question. Which of the following figures has 10 vertices ?

A. Figure U
B. Figure V
C. Figure W
D. Figure X
Answer : D

Question. Find the value of the expression (–45) – (–39) + 42 – 28 – (–152) – 85 + (–9).
A. –78
B. –32
C. –550
D. 66
Answer : D

Question. Simplify :

A. 18
B. 36
C. 39
D. 78
Answer : B

Question. For two parallel lines and a transversal, ∠1 = 74°. For which pair of angle measures is the sum the least?

A. ∠1 and a corresponding angle
B. ∠1 and the corresponding co-interior angle
C. ∠1 and its supplement
D. ∠1 and its complement
Answer : D

Direction (a - b) : A fair dice has faces numbered 0, 1, 7, 3, 5 and 9. If it is thrown, the probability of getting

Question a. a 1 is .............
A. 2/5
B. 1/6
C. 1/2
D. 3/5
Answer : B

Question b. an odd number is ............
A. 1
B. 2/3
C. 5/6
D. 1/6
Answer : C

Question. In the given figure, find the value of x.

A. 5°
B. 10°
C. 25°
D. 30°
Answer : B

EVERYDAY MATHeMATICS

Question. After travelling 33 km, Mini found that 2/5 of her journey was still left. Find the length of her whole journey.
A. 50 km
B. 60 km
C. 55 km
D. 45 km
Answer : C

Question. Kavleen bought 15.5 litres of refined oil for ₹ 1063.30.
What is the cost of 1 litre of refined oil bought by her?
A. ₹ 58.60
B. ₹ 68.80
C. ₹ 64.80
D. ₹ 68.60
Answer : D

Question. Neha got 70% marks out of 600. How many more marks are needed to secure 90%?
A. 220
B. 120
C. 350
D. 100
Answer : B

Question. Mohit bought 100 eggs for ₹ 180. Out of these, 16 eggs were found to be broken and he sold the remaining eggs at the rate of ₹ 25.20 per dozen. Find his gain or loss per cent.
A. 4% loss
B. 2% loss
C. 5% loss
D. 2% gain
Answer : B

Question. Samaksh borrowed ₹ 5500 at 8% per annum for 2 years. Find the amount he pays at the end of the period.
A. ₹ 2520
B. ₹ 6350
C. ₹ 6380
D. ₹ 3250
Answer : C

Question. A rectangular grassy lawn measuring 30 m by 28 m is to be surrounded externally by a path which is 2 m wide. Find the area of the path.
A. 248 m²
B. 246 m²
C. 1088 m²
D. 1348 m²
Answer : A

Question. Rita throws a die. What is the probability of getting odd numbers?
A. 4/6
B. 1/6
C. 3/2
D. 1/2
Answer : D

Question. Four years ago, Sidak was 14 years old. Her brother was thrice her age. What will be their total age in n years?
A. (56 + 2n)years
B. (64 + 2n)years
C. (60 + n)years
D. (68 + n)years
Answer : B

Question. 3,500,000,000,000 prescription drug orders were filled in India in the year 2015. If the average price of each prescription was roughly ₹ 65, then how much did India pay for prescription drugs in 2015?
A. 2.275 × 10¹⁴
B. 2.275 × 10¹²
C. 2.275 × 10¹⁰
D. None of these
Answer : A

Question. A floral design on the floor of a building consists of 280 tiles. Each tile is in the shape of a parallelogram of height 3 cm and base 5 cm. Find the cost of polishing the design at 50 paise per square centimetre.
A. ₹ 2200
B. ₹ 2400
C. ₹ 2100
D. ₹ 2000
Answer : C

Direction (a - b) : The given line graph shows the number of cameras sold by a shop from July to December.

Question a. In which month was the sales of cameras twice the sales in July ?
A. December
B. November
C. October
D. September
Answer : C

Question b. The sales of cameras in the first half of the year (January to June) was 20% more than the sales in the second half of the year (July to December). How many more cameras did the shop sell in the first half of the year?
A. 68
B. 42
C. 72
D. 84
Answer : D

Question. Compare and put the correct sign (<, >, =) in the box.

     I II III
A. > < =
B. < = >
C. = < >
D. < > <
Answer : B

Question. State ‘T’ for true and ‘F’ for false.
I. By SSS property two triangles can be proved congruent but not by using ASA property.
II. Two line segments are said to be congruent, if they are of equal lengths.
III. If the areas of two rectangles are same, they are congruent always.
IV. The congruent figures completely overlap each other.
      I   II   III     IV
A. T   F    T     F
B. T   T    F     F
C. F   T    F    T
D. F   F   T     T
Answer : C

Question. Match the following

A. (p) - (i), (q) - (ii), (r) - (iii)
B. (p) - (iii), (q) - (ii), (r) - (i)
C. (p) - (iii), (q) - (i), (r) - (ii)
D. (p) - (ii), (q) - (iii), (r) - (i)
Answer : C