CBSE Class 6 Mathematics IMO Olympiad MCQs with Answers Set G

LOGICAL REASONING

Question. In a certain code language, ‘NATURAL’ is written as ‘UBOUMBS’. How will ‘PROBLEM’ be written in that code language?
A. QSPBMFN
B. QSPBNFM
C. PSQBNFM
D. PSQBMFN
Answer : C

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

Answer : A

Question. If M is the brother of K, D is the daughter of K, N is the sister of M and P is the brother of D, then who is the uncle of P?
A. M
B. K
C. N
D. Can’t be determined
Answer : A

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

A. 16
B. 17
C. 19
D. 21
Answer : B

Question. If it is possible to make a meaningful word from the second, fifth, eighth and tenth letters of the word RESIDENTIAL using each letter only once, then the last letter of the word would be your answer. If more than one such word can be formed, your answer would be ‘X’ and if no such word can be formed, your answer would be ‘Z
A. X
B. Z
C. E
D. N
Answer : C

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

Answer : D

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

Answer : C

Question. A set of three figures X, Y and Z shows 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 resembles the unfolded form of Fig. (Z).

Answer : C

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

A. 7
B. 8
C. 11
D. 9
Answer : A

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

Answer : A

Question. There is a certain relationship on the either side of : : . Identify the relationship on the left side and find the missing term.
AFHO : GBDM : : CHFM : ? 
A. GBLD
B. GBJO
C. IBDL
D. IDBK
Answer : D

Question. Which of the following Venn diagrams best represents the relationship amongst, “Artists, Scholars, Men”?

Answer : C

Question. Two positions of a dice are shown here. Which number will be at the bottom when 2 is at the top?

A. 3
B. 5
C. 4
D. 1
Answer : C

Question. Find the number which will continue the given number pattern.

A. 60
B. 63
C. 58
D. 65
Answer : B

Question. Sonali drove her car 20 km Northwards. Then she turned left and drove for 30 km. She then turned left again and drove yet another 20 km. Again she turned left and drove her car 45 km. How far she will be now from the initial position?
A. 10 km
B. 20 km
C. 15 km
D. 25 km
Answer : C

MATHEMATICAL REASONING

Direction (a - b) : Study the given graph carefully and answer the following questions.

Question a. What fraction of the total number of children plays football?
A. 3/16
B. 13/64
C. 11/64
D. 5/32
Answer : A

Question b. The difference between the number of children who play tennis and cricket altogether & basketball and volleyball altogether is ____.
A. 20
B. 40
C. 10
D. 50
Answer : C

Question. Which of the following figures has largest perimeter?

Answer : C

Question. The value of CMLXXXII + CCLIV is _________.
A. CDLXV
B. MCCCLXV
C. MCCXXXVI
D. MCMXCVI
Answer : C

Question. Select the CORRECT match.

Answer : B

Question. Read the statements carefully and state T for true and F for false.
I. The place value of a digit at tenths place is 0.1 times the same digit at the hundredths place.
II. 0 03/0 3 + 3 3/0 03 = . 110 1
III. Five point seven hundredths is written as 5.07.
     I     II     III
A. F     T     T
B. F     F     F
C. T     F     F
D. F     T     F
Answer : A

Question. The number of obtuse angles in the given figure is ________.

A. 2
B. 5
C. 4
D. 6
Answer : C

Question. Which of the following statements is INCORRECT?
A. Each diagonal of a quadrilateral divides it into two triangles.
B. Each side of a quadrilateral is less than the sum of the remaining three sides.
C. A quadrilateral can have atmost three angles.
D. A quadrilateral has two diagonals.
Answer : C

Question. Find the successor of smallest 7-digit number.
A. 10000
B. 1000001
C. 999999
D. 9999999
Answer : B

Question. Arrange the shaded fraction of given figures in ascending order

A. Q, R, S, P
B. R, S, P, Q
C. S, P, R, Q
D. R, P, S, Q
Answer : B

Question. Find the difference between 7234042 rounded to the nearest thousands and 42568 rounded to the nearest hundreds.
A. 7191400
B. 7191470
C. 7192000
D. 7191000
Answer : A

Question. Which of the following statements represents a negative integer?
A. Mohit deposits ₹ 2500 in his bank account.
B. Aruna travelled 20 km towards East to reach her destination.
C. A kite is flying at a height of 20 m above the ground.
D. A whale swimming on the water’s surface dives 250 m.
Answer : D

Question. Simplify the given expression :
5 + (6 × 0.1) + (3 × 0.01) + (4 × 0.001) + (9 × 100) + (2 × 10)
A. 529.364
B. 259.634
C. 925.634
D. 925.436
Answer : C

Question. Observe the following patterns and find the sum of 1 + 3 + 5 + 7 + 9 + ... + 19.
1                                = 1 × 1 = 1
1 + 3                          = 2 × 2 = 4
1 + 3 + 5                    = 3 × 3 = 9
1 + 3 + 5 + 7              = 4 × 4 = 16
1 + 3 + 5 + 7 + 9        = 5 × 5 = 25
......................................................
.......................................................
A. 121
B. 81
C. 100
D. 64
Answer : C

Question. Compare and fill in the box with <, > or = .

A. =
B. >
C. <
D. Can’t be determined
Answer : B

Question. Fill in the blanks and select the correct option.
• Interior and exterior of a circle have P number of common points.
• A Q of a circle is the region in the interior of the circle enclosed by an arc and a chord.
• A set of points which extends infinitely in both the directions is called R .
• The hour hand of a clock turns S degrees in 15 minutes.

Answer : B

Question. Which of the following solids can be obtained by folding the net shown here?

A. (i) and (iii) only
B. (i) and (iv) only
C. (ii) and (iii) only
D. (ii) and (iv) only
Answer : A

Question. Classify the following into open and closed curves

       Open  Closed
A. (b, p, r) (a, c, q)
B. (b, q, c) (a, p, r)
C. (p, q, a) (r, c, b)
D. (r, b, a) (p, q, c)
Answer : A

Question. Select the INCORRECT statement.
A. The greatest number that exactly divides 63 and 84 is 21.
B. A factor of a number is an exact divisor of that number.
C. The smallest number that is exactly divisible by 12, 14, 18, 22 is 2.
D. A number divisible by two co-prime numbers is divisible by their product also.
Answer : C

Question. The given rectangle is made up of 12 squares. Find the area of the shaded region.

A. 60 cm²
B. 48 cm²
C. 96 cm²
D. 24 cm²
Answer : C

EVERYDAY MATHEMATICS

Question. Find the cost of cultivating a rectangular field 34 m long and 18 m wide at ₹ 4.50 per sq. metre.
A. ₹ 2830
B. ₹ 2854
C. ₹ 1839
D. ₹ 2754
Answer : D

Question. A manufacturing company produces 625135 refrigerators in a year. Out of these 25687 are found to be defective.
How many refrigerators are in good condition?
A. 599448
B. 650822
C. 595848
D. 599268
Answer : A

Question. There are 3120 students in a college. If each student pays ₹ 750 for a trip, then how much money will be collected by the college?
A. ₹ 3124000
B. ₹ 2340000
C. ₹ 4230000
D. ₹ 2120000
Answer : B

Question. Puneet, Arun and Manish start together for a morning walk. Their steps measure 60 cm, 84 cm and 108 cm respectively. What is the minimum distance each should walk, so that all can cover the same distance in complete steps?
A. 3780 cm
B. 1260 cm
C. 3720 cm
D. 1380 cm
Answer : A

Question. A black squirrel takes 2(3/4) minutes to climb a tree. A brown squirrel takes 7/5 minutes to do the same. Which squirrel climbs the tree faster and by how much?
A. Black squirrel, 1(7/15)mins
B. Black squirrel, 1(7/20)mins
C. Brown squirrel, 1(7/20)mins
D. Brown squirrel, 1(7/15)mins
Answer : C

Question. Karan bought 5 pairs of socks and 4 belts. A pair of socks cost half as much as a belt. If each belt costs ₹ 38.50, then how much did Karan spend altogether?
A. ₹ 269.50
B. ₹ 346.50
C. ₹ 250.25
D. ₹ 549
Answer : C

Question. Sneha bought 720 g of flour. She poured 4/9 of the flour into a container and used 3/5 of this to bake a chocolate cake. How much flour did she use to bake the chocolate cake?
A. 528 g
B. 432 g
C. 128 g
D. 192 g
Answer : D

Question. The given table shows the postal rate for delivery in Kerala. Find the postal rate for a parcel which weighs 400 g.

A. ₹ 175
B. ₹ 200
C. ₹ 300
D. ₹ 350
Answer : B

Question. The cost of 15 gms of gold is ₹ 8250. The cost of 21 gms of silver is ₹ 6825 and the cost of 26 gms of copper is ₹ 312. What is the total cost of 26 gms of gold, 24 gms of silver and 52 gms of copper?
A. ₹ 22866
B. ₹ 22724
C. ₹ 20198
D. ₹ 23250
Answer : B

Question. Niharika walks thrice around a square field of side 22 m. Girish walks twice around a rectangular field with length 10 m and breadth 12 m. Who covers more distance and by how much?
A. Girish, 20 m
B. Niharika, 200 m
C. Girish, 176 m
D. Niharika, 176 m
Answer : D

ACHIEVERS SECTION

Question. Sahil tried to solve an equation but couldn't reach to the correct answer.
Following were the steps performed by him to solve the expression.
Solve for n : 3n + 5(n + 2) = 46
Step 1: 3n + 5n + 10 = 46
Step 2 : 8n + 10 = 46
Step 3 : 8n = 56
Step 4 : n = 56/8 = 7
Find the INCORRECT step.
A. Step 4
B. Step 3
C. Step 2
D. Step 1
Answer : B

Question. Study the given statements carefully and select the correct option.
Statement-I : If the side of a square is halved, then the new perimeter is two times the original perimeter.
Statement-II : If the perimeter of a regular pentagon is 35 cm, then the length of its each side is 5 cm.
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. A shopkeeper had 45 kg good quality of rice. He mixed it with 15 kg bad quality of rice. Then he packed the rice in 250 g packet.
(i) How many packets of rice did he get?
(ii) If each packet was sold at ₹ 32, then how much money did he earn?
      (i)        (ii)
A. 200    ₹ 7700
B. 240    ₹ 7680
C. 120    ₹ 6780
D. 240    ₹ 7250
Answer : B

Question. Match the following.

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

Question. Fill in the blanks.
(i) In Roman numerals, repetition of a symbol means P .
(ii) The symbol Q of Roman numeral can't be subtracted.
(iii) R is the additive identity and S is the multiplicative identity of whole numbers.
(iv) T is the only whole number which does not have predecessor.
            P                Q    R    S   T
A. Subtraction        I     0     1    1
B. Addition             V    0     1    0
C. Multiplication    X     1     0    0
D. Addition            C    1      0   1
Answer : B