International Maths Olympiad Forum By SOF Olympiad Trainer

Vedant Malhotra from Delhi Public school, Bangalore

Subject :IMO Class : Class 7

The standard from of 2 million × 15 lakh is ______ .

A3.0 × 10¹²
B3.0 × 10¹³
C3.0 × 10¹⁴
D3.0 × 10¹⁵

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Sarbari Pal from DPS FARIDABAD, Faridabad

Subject :IMO Class : Class 9

If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is ______ two right angles.

A Equal to
B More than
C Less than
D Can't be determined

pls help

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Ans 1:

Abhay yadav from Blossom Senior Secondary School, Gorakhpur

Class : Class 10

A

Ans 2:

sauradeep from j v m Shyamali , ranchi

Class : Class 10

Ans 3:

Arnav Ranka from Gyan Bharati School, Saket, New Delhi

Class : Class 9

Ans 4:

Aakarsh mishra from Oakridge International School, Hyerabad

Class : Class 9

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Vaastav Mishra from BMPS Taxsila, Bhubaneswar

Subject :IMO Class : Class 9

O is the centre of the circle having radius 5 cm. AB and AC are two chords such that AB = AC = 6 cm. If OA meets BC at P, then OP = _______.

A3.6 cm
B1.4 cm
C2 cm
D3 cm

anyone know how to do this?

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Ans 1:

KETAKI SUBHASH GHATOL 2 from CSA Satara, Satara

Class : Class 10

Ans 2:

sankalp from Gyan Bharti School, Saket, Delhi

Class : Class 10

Please upload soln.

Ans 3:

Diptansu Biswal from kv ins chilka, balugaon

Class : Class 9

Answer

Ans 4:

Satyam Jha from , Muzaffarpur

Class : Class 9

koi solution dedo bhais ki....

Ans 5:

Neharrika SV from SOI, Bangalore

Class : Class 10

Ans 6:

sankalp from Gyan Bharti School, Saket, Delhi

Class : Class 10

BRUH

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Rajarshee Mitter from Adamas International School, Kolkata

Subject :IMO Class : Class 8

If a^x = b^y = c^z and b² = ac, then y equals

A
B
C
D

I kinda need help with this sum, i use the formula a^x = b^y = c^z = k, but is there any other simple way to do this particular sum? I have done sums like these before but this one is a little tricky

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Ans 1:

Ojas Purankar from Blue Ridge Public school, Pune

Class : Class 8

Ans 2:

Athulya Sunil Menon from DPS MIS Doha, Mumbai

Class : Class 9

Ans 3:

Aham from vibgyor high, Bangalore

Class : Class 8

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student from school, city

Subject :IMO Class : Class 8

Amar wrote exams in four subjects - Physics, Chemistry, Biology and Social Studies. The ratio of marks he got in these exams was 2 : 3 : 4 : 5. He got an aggregate of 70% in these exams. Each exam had the same maximum marks. In how many of these exams did he get more than 50%?

A 1
B 2
C 3
D 4

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student from school, city

Subject :IMO Class : Class 8

Two rows of number are given. The resultant number in each row is to be worked out separately based on the following rules and the question below the rows of numbers is to be answered. The operations of numbers progress from left to right.
Rules :
(i) If a two-digit even number is followed by another even number, the first one is to be divided by the second one.
(ii) If an even number is followed by a prime number, the two are to be multiplied.
(iii) If an odd number is followed by another odd number, the two are to be added.
(iv) If a three-digit number is followed by a two-digit number which is a perfect square, the second number is to be subtracted from the first number.
(v) If a three-digit number is followed by a two-digit number which is not a perfect square, the first number is to be divided by the second number.
84 14 13
360 24 17
What is the difference between the resultants of the first row and the second row?

A 100
B 46
C 56
D 90

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Ans 1:

Mousumi chakraborty from Pranavananda Vidyamandir, Durgapur

Class : Class 8

Please give full solution

Ans 2:

Pranav from NPS Rajaginagar, Bangalore

Class : Class 8

Ans 3:

martin b george from kv pattom, trivandrum

Class : Class 10

Nic e

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Shourya Kumar from Delhi Public School Noida, Noida

Subject :IMO Class : Class 7

In which of the following options, a unique triangle cannot be drawn?

APQ = 6 cm, QR = 9 cm and RP = 4 cm
BQR = 10 cm, ∠Q = 70° and ∠R = 60°
CAn equilateral triangle with the length of side 5 cm.
DAn isosceles triangle with the length of each equal side 4 cm.