CBSE Class 6 Mathematics IMO Olympiad MCQs with Answers Set C

LOGICAL REASONING

Question. Select the correct mirror image of the given combination, if the mirror is placed vertically to the right.

Answer : A

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

Answer : B

Question. If in the word VITREOUS first all the consonants are arranged alphabetically, and then all the vowels are arranged alphabetically, then which letter will be the third to the right of fourth letter from the left?
A. R
B. O
C. I
D. U
Answer : B

Question. Mohit left for his office in his car. He drove 12 km towards North and then 10 km towards West. He then turned to the South and covered 4 km. Further, he turned to the East and moved 8 km. Finally, he turned right and drove 8 km. How far and in which direction is he from his starting point?
A. 2 km, West
B. 2 km, East
C. 4 km, West
D. 2 km, North
Answer : A

Question. Find the missing number, if same rule is followed row-wise or column-wise

A. 15
B. 18
C. 20
D. 25
Answer : D

Question. Select a figure from the options, which when placed in the blank space of Fig. (X) would complete the pattern.

Answer : B

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

Answer : C

Question. If ‘+’ is written as ‘×’, ‘–’ is written as ‘÷’, ‘×’ is written as ‘–’ and ‘÷’ is written as ‘+’, then what is the value of 72 + 9 × 35 – 5 ÷ 12 – 6 ?
A. 648
B. 646
C. 656
D. 643
Answer : D

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

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

Question. In which of the following figures, Fig. (X) is exactly embedded as one of its part?

Answer : D

Question. In a certain code language, DISTURB is written as DTWVUKF. How will FRIENDS be written in that language?
A. TEOFJSH
B. UFPGKTH
C. TEPGKSH
D. UFPHKSH
Answer : B

Question. Rohit and Raj study in the same class. Rohit has secured more marks than Raj in the terminal examination. Raj’s rank is seventh from the top among all the students in the class. Which of the following is definitely true?
A. Rohit stood first in the terminal examination.
B. There is at least one student between Rohit and Raj in the rank list.
C. There are at the most five students between Rohit and Raj in the rank list.
D. Raj is five ranks lower than Rohit in the rank list.
Answer : C

Question. Find the minimum number of straight lines required to draw the given figure.

A. 15
B. 16
C. 14
D. 17
Answer : B

Question. If three is subtracted from each of the following numbers, then which of the following options is the difference between the second digit of second highest number and the second digit of the highest number?
489 541 654 935 873
A. 0
B. 3
C. 1
D. 4
Answer : D

Question. Which of the following Venn diagrams best represents the relationship amongst "Father, Grandfather, Great Grandfather"?

Answer : A

MATHEMATICAL REASONING

Question. The figure below is made up of 12 equilateral triangles. If the length of PQ is 96 cm, find the total perimeter of the figure.

A. 192 cm
B. 384 cm
C. 288 cm
D. 576 cm
Answer : B

Question. Which of the following options is INCORRECT?
A. The number 48693 rounded off to nearest hundred is 48700.
B. LXXV is greater than LXXIV.
C. One million is equal to 10 crore.
D. Place value of a digit = (face value of the digit) × (Value of the place)
Answer : C

Question. Which of the following figures do not have any line of symmetry?

Answer : C

Question. Which of the following options shows distributive property of multiplication over addition?
A. 4 + (5 × 8) = (4 + 5) × (4 + 8)
B. 4 × (5 + 8) = (4 × 5) + (4 × 8)
C. 4 × (5 × 8) = (4 × 5) × 8
D. (8 + 5) + 4 = 8 + (5 + 4)
Answer : B

Question. Which of the following pair of numbers is co-prime?
A. (17, 15)
B. (10, 16)
C. (20, 24)
D. (31, 62)
Answer : A

Question. How many of the given numbers are NOT divisible by 11?

A. 4
B. 7
C. 6
D. 5
Answer : C

Question. Read the statements given below and identify the correct option.
(i) Every diameter of a circle is also a chord.
(ii) Every chord of a circle is also a diameter.
(iii) The centre of a circle is always in its interior.
         (i)      (ii)         (iii)
A. False  True       False
B. True    False     True
C. True    False     False 
D. True   True       False
Answer : B

Question. Which of the following hands of the clock shows 3 of a revolution?

Answer : D

Question. The given figure has ________ edges and ________ vertices.

A. 12, 8
B. 14, 8
C. 9, 7
D. 15, 10
Answer : D

Question. Evaluate :
– 1 + 55 – (– 29) + (– 1) – (– 82) + (– 3)
A. 161
B. – 161
C. 158
D. – 158
Answer : A

Question. Arrange the shaded fractions of the following figures in ascending order

A. s, q, r, p
B. p, r, s, q
C. s, p, q, r
D. p, r, q, s
Answer : D

Question. 0 is the __________ identity for whole numbers, whereas 1 is the __________ identity for whole numbers.
A. Additive, Multiplicative
B. Multiplicative, Additive
C. Commutative, Additive
D. Positive, Not-defined
Answer : A

Question. Which of the following statements is definitely true, if PQRS is a parallelogram?

A. PQ and SR are adjacent sides.
B. ∠P and ∠Q are opposite angles.
C. SR || PQ.
D. PR = RQ.
Answer : C

Question. Solid P has __________ more faces than Solid Q

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

Question. Find X.
16.7 + 12.38 – X = 10.09
A. 17.89
B. 18.99
C. 16.98
D. 20.09
Answer : B

Question. The H.C.F. of 252, 324 and 594 is _________.
A. 36
B. 18
C. 12
D. 6
Answer : B

Question. Rohit’s teacher asked him to tell the correct answer after performing the steps given below.
• Round off 43, 98 and 250 to nearest tens.
• After rounding off, add them.
• Round off the sum to the nearest hundreds.
Then, the correct answer is ______.
A. 300
B. 400
C. 350
D. 480
Answer : B

Question. Which of the following figures have maximum shaded area ?

A. (i)
B. (ii)
C. (iii)
D. Can’t be determined
Answer : B

Question. Number name for 900800700 in Indian system is ______.
A. Ninety crores, eight lakhs and seven hundreds
B. Nine crores, eight lakhs and seven hundreds
C. Ninety crores, eighty lakhs and seven hundreds
D. Ninety crores, eight lakhs and seven
Answer : A

Question. The charges in a resort are shown below.

Mr. Mohit drove to the resort with his wife and three children on Saturday at 1:30 p.m. They left the resort at 8 p.m. How much did Mr. Mohit and his family have to pay in all?
A. ₹ 250.30
B. ₹ 300.90
C. ₹ 267.80
D. ₹ 290.30
Answer : D

EVERYDAY MATHeMATICS

Question. The population of a city is 2,09,32,714. Out of these, 90,47,314 are men; 84,35,784 are women and the rest are children. Find the number of children in the city.
A. 34,94,616
B. 34,49,616
C. 34,49,661
D. 34,94,661
Answer : B

Question. The budget for the annual day function of a school was ₹ 60,000, out of which ₹ 14,500 was paid to the tent house; ₹ 10,400 to the band party and ₹ 5,000 for refreshments. How much money was left over after meeting the expenses?
A. ₹ 31,000
B. ₹ 30,010
C. ₹ 30,100
D. ₹ 30,000
Answer : C

Question. A diver is 20 m below sea level. If he goes further down by 10 m, then find his new position.
A. 10 m
B. – 10 m
C. 30 m
D. – 30 m
Answer : D

Question. Akshay had a certain amount of money. He gave 1/2 of the money to his best friend, 1/4  of the money to his sister, 1/8 of the money to his brother and 1/16 of the money to his dad. The amount of money left with him is ₹ 125. How much money was with him at first?
A. ₹ 2000
B. ₹ 1875
C. ₹ 1000
D. ₹ 2800
Answer : A

Question. The traffic lights at three different road crossings change after every 48 seconds, 72 seconds and 108 seconds. If they start changing simultaneously, at 10 a.m., after how much time will they change again simultaneously?
A. 6 mins 18 secs
B. 8 mins 10 secs
C. 7 mins 12 secs
D. 7 mins 8 secs
Answer : C

Question. Sameera covers a distance of 85.075 km. She travelled 32.125 km by bus, 45.5 km by train and rest by rickshaw.
How much distance did she travel by rickshaw ?
A. 8.25 km
B. 7.45 km
C. 9.45 km
D. 6.25 km
Answer : B

Question. A room is 11.5 m long and 6.3 m wide. Its floor is to be covered with rectangular tiles of size 23 cm by 9 cm. Find the total cost of tiling the floor at the rate of ₹ 4.25 per tile.
A. ₹ 15725
B. ₹ 14800
C. ₹ 16795
D. ₹ 14875
Answer : D

Question. Sidak bought 13(5/8)m of cloth and Sanchi bought 13(3/4)m of cloth. Who bought more cloth and by how much?
A. Sanchi, (7/8)m
B. Sidak, (1/8)m
C. Sanchi, (1/8)m
D. Sidak, (7/8)m
Answer : C

Question. If 15.5 litres of refined oil costs ₹ 1063.30, what is the cost of 1 litre of refined oil?
A. ₹ 68.60
B. ₹ 75.95
C. ₹ 70.89
D. ₹ 62.55
Answer : A

Question. On a hill, the temperature at 8 p.m. was 2°C but at the mid-night of the same day, it fell down to –3°C.
By how many degrees did the temperature fall?
A. 6°C
B. 5°C
C. 2°C
D. 3°C
Answer : B

ACHIEVERS SECTION

Question. The graph of sale of shoes in a showroom during first five months of the year is shown below

Fill in the blanks according to the information given in the graph.
In month of P and Q respectively, the maximum and minimum number of shoes were sold. R shoes were sold in May. The difference between the number of shoes sold in March and April is S .
         P            Q       R        S
A. January     May    160    180
B. January     May    120    60
C. February   April    120    240
D. February   April    120    60
Answer : D

Question. Match the columns.

A. (i) → (c), (ii) → (d), (iii) → (b), (iv) → (a)
B. (i) → (c), (ii) → (d), (iii) → (a), (iv) → (b)
C. (i) → (d), (ii) → (c), (iii) → (b), (iv) → (a)
D. (i) → (d), (ii) → (c), (iii) → (a), (iv) → (b)
Answer : B

Question. The figure below shows 4 identical squares which lie within a big square. If the area of the big square is 784 cm², find the shaded area of the given figure.

A. 637 cm²
B. 588 cm²
C. 688 cm²
D. 528 cm²
Answer : B

Question. Raj, Gaurav and Amit are fast friends. They started painting a wall. Raj paints 2/15 of the wall, Gaurav paints 1/24 of the wall and Amit paints 3/10 of the wall. Read the statements related to above situation and answer the question given below.
Statement 1 : Gaurav painted least portion of the wall.
Statement 2 : 1/18 portion of the wall is unpainted.
Which of the following option holds?
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 and Statement 2 is true.
Answer : C

Question. Find the value of (P+Q/R) x S.
(i) 100 lakhs = Q millions
(ii) R crores = 100 millions
(iii) 100 thousands = P lakhs
(iv) 10 crores = S millions
A. 10
B. 100
C. 110
D. 1
Answer : C