International Maths Olympiad Forum By SOF Olympiad Trainer

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Subject :IMO    Class : Class 3

Ans 1:

Class : Class 8
[B]

Ans 2:

Class : Class 8
[B]

Ans 3:

Class : Class 8
[B]

Ans 4:

Class : Class 3

Ans 5:

Class : Class 5
Answer is B.Add only animals

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Subject :IMO    Class : Class 3

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Subject :IMO    Class : Class 4

Ans 1:

Class : Class 6

Ans 2:

Class : Class 7
a+b=70g 10a+10b+10c=3200 10(a+b+c)=3200 a+b+c=320 c=320-70=250

Ans 3:

Class : Class 5
A

Ans 4:

Class : Class 6
If large square = A small square =B cylinder=C then, A+B=70gm 10A+10B=700gm 10C=3200gm-700gm =2500gm C=2500/10 =250

Ans 5:

Class : Class 4
answer is A

Ans 6:

Class : Class 4
A

Ans 7:

Class : Class 4

Ans 8:

Class : Class 6
250 GRAMS . FIRST DIVIDE 3200 BY 10 . ANS =320 THEN SUBTRACT 70 FROM 320. ANS =250 WEIGHT OF THE CYLINDER =250

Ans 9:

Class : Class 6
a

Ans 10:

Class : Class 4
A

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Subject :IMO    Class : Class 3

Ans 1: (Master Answer)

Class : Class 1
The correct answer is D.

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Subject :IMO    Class : Class 3

Ans 1:

Class : Class 4

Ans 2:

Class : Class 1
I thought it was C

Ans 3:

Class : Class 3
58

Ans 4:

Class : Class 3
how did we arrive this answer can you help

Ans 5:

Class : Class 5
Answer is C that is boundary of the rectangle

Ans 6:

Class : Class 6
58 cm

Ans 7:

Class : Class 10
Longer side of the rectangle paper = 7 + 6 + 4 + 4 + 4 = 25 cm
Smaller side of the rectangle paper = 4 cm
Total length (perimeter) = 25 + 25 + 4 + 4 = 58 cm

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Subject :IMO    Class : Class 8

Ans 1:

Class : Class 9
answer is told to be D not B;

Ans 2:

Class : Class 9
(a^2-b^2)/ab - (ab-b^2)/(ab- a^2) #Using special product = (a+b)(a-b)/ab - (ab-b^2)/(ab- a^2) #Removing out a and b common = (a+b)(a-b)/ab - b(a-b)/a(b-a) #LCM of both denominators i.e. ab and a(b-a) is ab(b-a) #Hence we multiply first equation by (b-a) and second equation by b = (a+b)(a-b)(b-a)/ab(b-a) - b^2(a-b)/ab(b-a) #Taking the denominator common = [(a+b)(a-b)(b-a) - b^2(a-b)]/ab(b-a) #Taking (b-a) common in the numerator =[(b-a)(a^2-b^2-b^2)]/ab(b-a) #Cancelling out (b-a) from numerator and denominator =a^2 - 2 b^2 / ab Hence B is the answer.

Ans 3:

Class : Class 9
(a^2-b^2)/ab - (ab-b^2)/(ab- a^2) #Using special product = (a+b)(a-b)/ab - (ab-b^2)/(ab- a^2) #Removing out a and b common = (a+b)(a-b)/ab - b(a-b)/a(b-a) #LCM of both denominators i.e. ab and a(b-a) is ab(b-a) #Hence we multiply first equation by (b-a) and second equation by b = (a+b)(a-b)(b-a)/ab(b-a) - b^2(a-b)/ab(b-a) #Taking the denominator common = [(a+b)(a-b)(b-a) - b^2(a-b)]/ab(b-a) #Taking (b-a) common in the numerator =[(b-a)(a^2-b^2-b^2)]/ab(b-a) #Cancelling out (b-a) from numerator and denominator =a^2 - 2 b^2 / ab Hence B is the answer.

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Subject :IMO    Class : Class 3

Ans 1:

Class : Class 3
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Ans 2:

Class : Class 5
Total area of the square=12 x 12 = 144 cm2 Area of one rectangle cut = 3 x 2 = 6 cm2 Area of 4 rectangles cut = 4 x 6 = 24 cm3 Area of the square after cutting = 144 - 24 = 120 cm2

Ans 3:

Class : Class 5
Total area of uncut square is 144. 4 rectangles of (3 x 2) area 6 are cut. Which means 24 square unit area is cut. That leaves 144 - 24 = 120 square cm area. So answer is B

Ans 4:

Class : Class 10
Area of original square paper sheet = 12 x12 = 144cm2
Area of 1 rectangle cut = 3 x 2 = 6 cm2
Area of 4 such rectangles - 6 x 4 = 24 cm2
Area of paper left = 144 - 24 = 120 cm2

Ans 5:

Class : Class 10
Answer: B

Solution
Area of original square paper sheet = 12 x12 = 144cm2
Area of 1 rectangle cut = 3 x 2 = 6 cm2
Area of 4 such rectangles - 6 x 4 = 24 cm2
Area of paper left = 144 - 24 = 120 cm2

Ans 6:

Class : Class 4
Answer: (B) Area of square = 12*12 = 144 sq cm Area of 1 rectangle cut = 3*2 = 6 sq cm Area of 4 rectangles cut = 4*6 = 24 sq cm Area of remaining paper = 144 - 24 = 120 sq cm

Ans 7:

Class : Class 6
Its was a square 12X12=144sq cm. cut part area= 2x3=6 sq cm. total cut area = 6x4= 24 sq cm. Area of remaining sheet = 144-24 = 120. so, B is the answer.

Ans 8:

Class : Class 4

Ans 9:

Class : Class 7
the area of square paper sheet without cutting corners is Breadth x lenght = 12 x 12 = 144, now the area of the cut rectangle is breadth x length = 3 x 2 = 6, and there are four corners cutted. therefore 6 x 4 =24, now minus the cut corners area from total area. so 144-24 =120. therefore the answer is B

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Subject :IMO    Class : Class 3

Ans 1:

Class : Class 5

Ans 2:

Class : Class 3
how did you get the answer

Ans 3:

Class : Class 6
how will we solve this?

Ans 4:

Class : Class 5
how will i solve this problem?

Ans 5:

Class : Class 5

Ans 6:

Class : Class 3
Let Janak points = J | Adil A = J + 2 | Rohit R = (9/5) * J | Adil + Janak + Rohit = 59 | A + J + R = 59 | Replace as above | (J + 2) + J + (9/5)*J = 59 | 2J + 2 + 9J/5 = 59 | To remove 5 in denominator, multiply entire equation by 5 | 10J + 10 + 9J = 295 | 19J = 295 - 10 | 19J = 285 | J = 15 | Hence Janak's points = 15 | => Adil = J + 2 = 17 points |

Ans 7:

Class : Class 6
Got it

Ans 8:

Class : Class 4
Shouldnt it be 15? The equation is (X 2) X [(9/5)X] = 59

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Subject :IMO    Class : Class 3

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Subject :IMO    Class : Class 3

Ans 1:

Class : Class 4
The level of the question is certainly not for Class 3. It involves use of simultaneous equations. Answer is 35 soldiers.

Ans 2:

Class : Class 3
Explain the answer properly

Ans 3:

Class : Class 3

Ans 4:

Class : Class 6
B

Ans 5:

Class : Class 3
Hey you don't understand

Ans 6:

Class : Class 5
The way I taught my child was to try with each option, that is, start with option A, assume 40 is the number of soldiers, then calculate no of legs of soldiers, then minus that from total no. of legs, and see if the resulting number gives u the required number of horses you need in order to get a total of 45 horses and soldiers. Repeat the same for option B, C and D. Answer is B. This is how we did it: Assume 35 as no. of soldiers 35x2 = 70 legs of soldiersM Minus 70 from 110 (total legs)= 40 legs 40 horses legs = 40 divided by 4 =10 horses Therefore 35 soldiers and 10 horses = 45 soldiers and horses totally

Ans 7:

Class : Class 3
it is not a class 3 question understand that

Ans 8:

Class : Class 6
The answers in options needs to be considered while answering the question. The total number of horses and soldier in the troop is 45. Let us consider option A with 40 soldiers = 80 human legs so the balance legs are 30 which is not possible for horses as they have 4 legs. Going by option B= 35 soldiers = 70 human legs. So the balance legs remains 40, which is possible for 10 horses. Now the total number of horses and soldiers are 45 so 35 soldiers+10 horses = 45 and hence is a right answer. The balance options can be checked in similar way and will be found incorrect.

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