CBSE Class 7 Mathematics IMO Olympiad MCQs with Answers Set C

LOGICAL REASONING

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

A. 25
B. 48
C. 59
D. 73
Answer : D

Question. Which of the following options will complete the given figure matrix?

Answer : B

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

A. 20
B. 35
C. 40
D. 38
Answer : C

Question. Which of the following letter should come next in the given letter sequence?
M M P M P T M P T R M P T R W M P T R W K M P ?
A. P
B. W
C. R
D. T
Answer : D

Question. Kunal faces towards North. Turning to his right, he walks 25 metres. He then turns to his left and walks 30 metres. Next, he move 25 metres to his right. He then turns to his right again and walks 55 metres. Finally, he turns to the right and moves 40 metres. In which direction is he now from his starting point?
A. South-West
B. South
C. North-West
D. South-East
Answer : D

Question. In a certain code language, CHEMISTRY is written as NFIDITUSZ. How is BEANSTOCK written in that language?
A. CFBOSLDPU
B. CFBOSUPDL
C. OBFCSUPDL
D. OBFCSLDPU
Answer : C

Question. Which of the following Venn diagrams best represents the relationship amongst "Bed, Ward, Patient"?

Answer : D

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

Answer : D

Question. If the letters of the English alphabetical series are arranged in reverse order, which letter will be in the midway between the 19th letter from the left end and the 18th letter from the right end?
A. I
B. J
C. M
D. S
Answer : C

Question. Which of the following options satisfies the same condition of placement of the dot as in Fig. (X)?

Answer : A

Question. If it is possible to make a meaningful word using the sixth, the seventh and the ninth letters in the word SIMPLETON, then the second letter of the word is the answer. If no meaningful word is formed, give 'X' as your answer. If more than one such word is formed, give 'M' as your answer.
A. E
B. M
C. N
D. X
Answer : B

Question. If the first and the third digits in each of the following numbers are interchanged, then which number will be the smallest?
348 436 652 198 563
A. 348
B. 436
C. 652
D. 198
Answer : C

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

Answer : A

Question. Study the information carefully.
• Among M, N, O, P and Q, N is taller than only P.
• O is the 2nd tallest person.
• O is taller than both M and N.
Which of the following is the tallest?
A. P
B. Q
C. M
D. O
Answer : B

Question. A solid and its incomplete net are given. Which one of the following options will complete the given net?

Answer : C

MATHEMATICAL REASONING

Question. In the given figure (not drawn to scale), ABCD is a square such that AE = DE. Find ∠BEC

A. 28°
B. 56°
C. 62°
D. 24°
Answer : B

Question. Find the cost of 3 notebooks and 1 magazine in terms of y, if the cost of 1 notebook is ₹ 2y and that of 1 magazine is ₹ (y + 3).
A. ₹ (3y + 3)
B. ₹ (6y + 3)
C. ₹ (7y + 3)
D. ₹ (8y + 3)
Answer : C

Direction (a - b) : The bar graph below shows the number of cars passing through a toll tax

Question a. Find the total number of cars passed through the toll tax.
A. 500
B. 600
C. 625
D. 700
Answer : B

Question b. Find the percentage of cars which had atleast 2 passengers.
A. 91(2/3)%
B. 92(4/5)%
C. 67(1/3)%
D. 47(1/3)%
Answer : A

Question. The number line below shows 4 fractions, A, B, C and D. If AB = BC = CD, then find the value of B and C respectively.

A. 1/6, 1/4
B. 1/4, 1/6
C. 1/5, 1/6
D. 1/6, 1/5
Answer : A

Question. The solution of which of the following equations is neither a fraction nor an integer?
A. 2x + 6 = 0
B. 3x – 5 = 0
C. 5x – 8 = x + 4
D. 4x + 7 = x + 2
Answer : D

Question. In the figure given below, ABCD is a straight line. 
Find x.

A. 25°
B. 35°
C. 45°
D. 55° 
Answer : A

Question. The points A, B, C and D lie on a straight line.
The ratio of the length of AB to the length of BC is 3 : 4 and the ratio of the length of AC to the length of CD is 2 : 1. Find the ratio of the length of BC to the length of AD.

A. 21 : 8
B. 1 : 21
C. 8 : 21
D. 5 : 6
Answer : C

Question. Manan bent a piece of wire of length 1.5 m to form the given figure. The figure is made up of 4 squares and 4 equilateral triangles. If the length of XY is 20 cm, how much wire did he have left with him?

A. 60 cm
B. 30 cm
C. 24 cm
D. 120 cm
Answer : B

Question. Two triangles are congruent, if two angles and the side included between them in one triangle is equal to the two angles and the side included between them of the other triangle. This is known as
A. RHS congruence criterion
B. ASA congruence criterion
C. SAS congruence criterion
D. SSS congruence criterion
Answer : B

Question. Study the statements carefully.
(1) Every integer is a rational number and every fraction is a rational number.
(2) A rational number p/q is positive, if p and q are either both positive or both negative.
(3) A rational number p/q is negative, if one of p and q is positive and other is negative.
(4) If there are two rational numbers with common denominator, then the one with the larger numerator is larger than the other.
Which of the following options hold?
A. Both (1) and (4) are incorrect
B. Both (2) and (3) are incorrect
C. Only (1) is incorrect
D. All are correct
Answer : D

Question. The number of independent measurements required to construct a triangle is _______.
A. 3
B. 4
C. 2
D. 5
Answer : A

Question. If ΔABC and ΔDBC are on the same base BC, AB = DC and AC = DB, then which of the following gives a CORRECT congruence relationship?

A. ΔABC ≅ ΔDBC
B. ΔABC ≅ ΔCBD
C. ΔABC ≅ ΔDCB
D. ΔABC ≅ ΔBCD
Answer : C

Question. Which of the following statements is CORRECT?
A. The product of a positive and a negative integer is always negative.
B. The addition of a negative and a positive integer is always zero.
C. For all non-zero integers a and b, a × b is always greater than either a or b.
D. None of these
Answer : A

Question. Find the value of 617 + 6.017 + 0.617 + 6.0017.
A. 6.2963
B. 62.965
C. 629.6357
D. 62.8975
Answer : C

Question. What is the least number which when divided by 8, 9, 12, 15 leaves a remainder 1 in each case?
A. 179
B. 181
C. 359
D. 361
Answer : D

Question. How many of the following transactions are profitable?
(i) Two tables bought for ₹ 30,500 and sold each at ₹ 15,500.
(ii) Three fans bought for ₹ 12,500 and sold each at ₹ 4,300.
(iii) Three shirts bought for ₹ 450 each and sold at ₹ 1,430.
(iv) Two computers bought for ₹ 15,200 each and sold at ₹ 38,500.
(v) A pair of denims bought for ₹ 1,000 and sold at ₹ 850.
(vi) Two mobiles bought for ₹ 49,000 and sold each at ₹ 25,300.
A. 6
B. 3
C. 4
D. 5
Answer : D

Question. The temperature difference between Gangtok and Shillong is ______ the temperature difference between Shillong and Mumbai.

A. Greater than
B. Smaller than
C. Equal to
D. Can't be determined
Answer : B

Question. Shifting one term from one side of an equation to another side with a change of sign is known as
A. Commutativity
B. Transposition
C. Distributivity
D. Associativity
Answer : B

Question. A rational number –2/3 ________.
A. Lies to the left side of 0 on the number line.
B. Lies to the right side of 0 on the number line.
C. It is not possible to represent on the number line.
D. Cannot be determined on which side the number lies.
Answer : A

EVERYDAY MATHeMATICS

Question. At Shimla, the temperature was –7°C on Tuesday. It then dipped by 3°C on wednesday. On Thursday, it rose by 6°C. What was the temperature of Shimla on Wednesday and Thursday respectively?
A. – 4°C, –10°C
B. –10°C, – 4°C
C. –12°C, 8°C
D. –10°C, 4°C
Answer : B

Question. The average height of Sanchi and Aarav is 12p cm.
The average height of Aarav, Charu and Deepika is 10p cm. The average height of Charu and Deepika is 8p cm. Find Sanchi's height in terms of p.
A. 15 p cm
B. 12 p cm
C. 9 p cm
D. 10 p cm
Answer : D

Question. A shopkeeper bought 11/12 kg of onions. He packed them into packets each containing 2/15 kg of onions.
(a) How many packets of onions did he get?
(b) Find the weight of onions he had left.
    (a)        (b)
A. 5      5/18 kg
B. 6      7/30 kg
C. 6      7/60 kg
D. 5      8/9 kg
Answer : C

Question. The ratio of the number of men to the number of women at a concert is 5 : 3. The ratio of the number of women to the number of children is 2 : 5. Find the ratio of the number of children to the total number of women and men in the concert.
A. 15 : 16
B. 16 : 15
C. 13 : 12
D. 12 : 13
Answer : A

Question. Rita's watch was 10 minutes fast. Her watch showed 1:05 p.m. when she left home. She travelled for 35 minutes and arrived 5 minutes early for her dental appointment. At what time was her dental appointment?
A. 13 : 20 hrs
B. 13 : 25 hrs
C. 13 : 35 hrs
D. 13 : 55 hrs
Answer : C

Question. Lata spent 20% of the money she had on jeans and 5% on a pair of slippers. She was left with ₹ 2,700. 
How much money did she have in the beginning?
A. ₹ 3,600
B. ₹ 4,900
C. ₹ 3,800
D. ₹ 6,200
Answer : A

Question. Juhi sells a washing machine for ₹ 13,500. She loses 20% in the bargain. What was the price at which she bought it?
A. ₹ 16,875
B. ₹ 17,945
C. ₹ 18,459
D. ₹ 20,000
Answer : A

Question. A class has 20 girls and 16 boys. One student is selected at random. Find the probability that the selected student is a girl.
A. 1/4
B. 5/9
C. 3/4
D. 4/9
Answer : B

Question. Raman goes to the school book store with ₹ 100. He purchases some books and comes back with ₹ 68.70 with him. After sometime, he goes again to the store with ₹ 250 and purchases some books and comes back with ₹ 165.50. How much did he spend in all and how much money is left with him?
A. ₹ 126.93, ₹ 234.20
B. ₹ 234.20, ₹ 118.96
C. ₹ 115.80, ₹ 234.20
D. ₹ 115.80, ₹ 126.93
Answer : C

Question. Arun has a certain sum deposited in a bank at 5% per annum. The bank increases the rate of interest from 5% to 6%. After increase in rates, Arun deposits ` 2000 more in his account. The annual interest received by him now is ` 220 more than before. Find his original deposit.
A. ` 12,000
B. ` 13,250
C. ` 6,792
D. ` 10,000
Answer : D

ACHIEVERS SECTION

Question. The figure below shows the rectangle ABCD (not drawn to scale). R is thrice the size of P and 1/2 the size of S. Q is twice the size of P. What fraction of the whole figure is the sum of Q and S?

A. 1/3
B. 2/3
C. 4/5
D. 6/5
Answer : B

Question. Find the value of P, Q and R

        P        Q      R
A. 1792   2000    2
B. 1792   2000    3
C. 2500   2000    2
D. 2500   1500    3
Answer : B

Question. The figure below is not drawn to scale. Which one of the following option is true?

A. ∠a + ∠d = 60°
B. ∠c + ∠e = 160°
C. ∠c + ∠f = 240°
D. ∠e + ∠f =180°
Answer : A

Question. Observe the given data of the height of 15 students (in cm).
146, 139, 135, 136, 149, 166, 164, 152, 163, 141, 171, 155, 144, 159, 146
Match the columns :
         Column-I                      Column-II
(i) Range of the data is      (p) 151.06 cm
(ii) Mean height of the       (q) 146 cm students is
(iii) Median of the data is   (r) 36 cm
(iv) Mode of the data is     (s) 149 cm
A. (i)→(s), (ii)→(q), (iii)→(r), (iv)→(p)
B. (i)→(p), (ii)→(q), (iii)→(r), (iv)→(s)
C. (i)→(r), (ii)→(s), (iii)→(p), (iv)→(q)
D. (i)→(r), (ii)→(p), (iii)→(s), (iv)→(q)
Answer : D

Question. Select the correct match

Answer : D