IMO Class 7 12 02 2017
IMO Class 7 12 02 2017
IMO Class 7 12 02 2017
Q.3 How many more triangles in the given figures Q.6 In the given figure, state whether the triangles
must be shaded to make the fraction of are congruent, if yes find the correct order of
5 vertices.
unshaded part equal to ?
8
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Q.19 Garima bakes a cake, she uses 250 g brown Q.23 The teacher tells the class that the highest
sugar in 1 kg of flour. Find the ratio of marks obtained by a student in her class is
(i) Sugar to flour four times the lowest marks plus 5. The
(ii) Flour to sugar highest marks is absolute value of (6 13),
(iii) Sugar to the amount of sugar and flour find the lowest marks.
together (A) 18.25 (B) 40
(i) (ii) (iii) (C) 36.5 (D) 25
(A) 4 : 1 1:4 1:5
(B) 3 : 2 3:2 2:5 Q.24 In a school, 10x2 + 3xy + y2, 2x2 + 9x + 2yx
(C) 2 : 3 3:2 2:5 and 7x3 + 8xy + 2y3 students are enrolled for
(D) 1 : 4 4:1 1:5 NCO, NSO and IMO respectively. Find the
total number of students enrolled for all the
Q.20 Find the value of P, Q and R. three exams when x = 2 and y = 3.
(A) 321 (B) 263
(C) 261 (D) 250
a c
Q.25 In two rational numbers and , if ad > bc,
b d
then ________ and if ad < bc, then _______ .
a c a c
(A) < and <
b d b d
a c a c
P Q R (B) > and <
(A) 4 5 1 b d b d
(B) 5 8 1 a c a c
(C) > and >
(C) 7 2 6 b d b d
(D) 8 2 4 (D) None of these
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Q.39 The price of an object A is 100 less than 5 Q.43 The marked price of an article is 12% higher
times the price of an object B. A similar set of than cost price. A discount of 10% is given on
one object A and 4 object B is priced at the marked price. In this kind of sales, the
1400. Find the price of object A. seller _________ .
750
(A) 600
(B) (A) Loses
850 800 (B) Bears no gain, no loss
(C) (D)
(C) Gains
Q.40 Find the least number which when divided by (D) Data inadequate
5, 6, 7 and 8 leaves a remainder 3, but when
1 1 1
divided by 9 leaves no remainder. xa ab x b bc x c ca
(A) 1683 (B) 423 Q.44 = ______ .
xb xc xa
(C) 1983 (D) 1263
1
(A) 1 (B) abc
Q.41 In a two digit number, ten's digit is twice the x
unit digit. The number formed by 1 ab
interchanging the digits is 27 less than the (C) (D) ab bc
x ab bc ca x
original number. The original number is
______. Q.45 Solve :
(A) 36 (B) 63 (C) 84 (D) 42 1 2 3 4 5 6
999 +999 +999 +999 +999 +999
7 7 7 7 7 7
Q.42 In a ABC, which of the following conditions
(A) 5997 (B) 5994
holds?
(C) 5979 (D) 2997
(A) AB BC > CA
(B) AB + BC < CA
(C) AB BC < CA
(D) AB + CA < BC
ACHIEVERS SECTION
Q.46 In the given figure (not drawn to scale), PQRS Q.47 Match the following :
is a square with QT = QU. If SR = (7x 6) Expression Value of x
cm and SP = (2x + 9) cm, then find x 5 3
(i) The value of x 9 3 ( 27) 5
P. = 27 i.
(ii) Area of TRQ (3) 2 (81) 4 3
(iii) QTU and UTR Q. 25(x + 3) = (5)3x 5 ii. 11
2x 6
9 256 2 7
R. = 10 iii.
4 81 3 2
7
S. 2x = (32)1/3 iv.
2
(A) P (ii); Q (i); R (iv); S (iii)
(i) (ii) (iii) (B) P (i); Q (ii); R (iii); S (iv)
(A) 3 56.25 cm2 60, 30
(C) P (iv); Q (iii); R (ii); S (i)
(B) 3 56.25 cm2 67.5, 22.5
(C) 5 65.75 cm2 67.5, 25.5 (D) P (iii); Q (ii); R (iv); S (i)
(D) 5 65.75 cm2 80, 20
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Q.48 Read the statements carefully and select the Q.50 Find the value of x + y in the given figures.
correct option.
Statement-1 : Mode is most frequently
occurring value in a given data. It is always
less than the median of the data.
Statement-1 : Median of the data (1, 2, 2, 3,
2, 3, 4, 2, 3, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 3, 2, 3,
3, 3) is less than the mode.
(A) Statement-1 is true and Statement-2 is
false
(B) Statement-1 is false and Statement-2 is (a) (b)
true (A) 128 114
(C) Both Statement-1 and Statement-2 are (B) 130 90
false (C) 80 66
(D) Both Statement-1 and Statement-2 is true (D) 114 128
P Q R S
(A) 5% 1000
15,024
4250
(B) 5% 1200
12,560
5024
(C) 4% 1800
12,560
5024
(D) 4% 1100
14,231
4250
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