International Maths Olympiad Forum By SOF Olympiad Trainer - Page 235
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Nipun Abhilash from National Public School, Banashankhari, Bangalore
Subject :IMO    Class : Class 8

Study the given statements and choose the correct option.
Statement 1 : A trinomial x2 + px + q can be factorised as (x + a) (x + b) = x2 + (a + b)x + ab, where a + b = p and ab = q.
Statement 2 : If (x + a) is the factor of a trinomial x2 + px + q then at x = a, the value of x2 + px + q is zero.

AStatement 1 is true and statement 2 is false.
BStatement 1 is false and statement 2 is true.
CBoth statements 1 and 2 are false.
DBoth statements 1 and 2 are true.


A is correct

Ans 1:

Antarik Maity from Bharatiya Vidyabhaban, Kolkata
Class : Class 8
In the solution box it is given that option A is correct but under the question it is given solution D is correct, I think it is a technical glitch.

Ans 2:

Parth Chaudhari from Podar International School, Pune
Class : Class 3
D

Ans 3:

Nipun Abhilash from National Public School, Banashankhari, Bangalore
Class : Class 9
A

Ans 4:

Akshaj Malpani from Indira national school, Pune
Class : Class 8
its a bcoz statement 1 is true and 2 is false

Ans 5:

Antarik Maity from Bharatiya Vidyabhaban, Kolkata
Class : Class 8

Ans 6:

Joahanna Gabriel from Christwood school, Chennai
Class : Class 9

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Sanaya Singh from Hiranandani Foundation, Mumbai
Subject :IMO    Class : Class 2

Ans 1:

Advik from Kothari international school, Noida
Class : Class 3
Answer would be c

Ans 2: (Master Answer)

Admin from revisewise, Noida
Class : Class 1

(B): The number more than 400 but less than 500 present on the tree is 475.


Ans 3:

Agnish Chakraborty from The Heritage School, Kolkata
Class : Class 4
The number is 475 and 475 is in the answer B.So, the answer is B.

Ans 4:

Agnish Chakraborty from The Heritage School, Kolkata
Class : Class 4

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Kashish Kathuria from Delhi Public School, Bangalore
Subject :IMO    Class : Class 7

Find the values of P, Q and R.
(i) A circular pond is surrounded by a 2 m wide circular path. If outer circumference of circular path is 44 m, then the area of the path is __p__.

(ii) A rectangular courtyard measuring 17 m by is to be covered by square slabs, each of side m. __Q__ slabs are required to cover the courtyard.

(iii) The minute hand of a circular clock is 15 cm long. The tip of the minute hand move __R__ cm in 1 hour? (π = 3.14)

P Q R
A 62.88 m2 348 100
B 75.43 m2 646 94.2
C 42.87 m2 200 44.5
D 18.14 m2 544 79.4


why is not any solution there

Ans 1:

Kashish Kathuria from Delhi Public School, Bangalore
Class : Class 9
why is not there any solution

Ans 2:

Gauri Singh from St Johns School Marhauli, Varanasi
Class : Class 8
Answer is B.. You can find it by finding the third answer.. circumference of minute hand's path = 2x3.14x15 = about 94..

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Hamsavarshini Swaminathan from St Anns Senior Secondary School, Roorkee
Subject :IMO    Class : Class 7

Ans 1:

Hamsavarshini Swaminathan from St Anns Senior Secondary School, Roorkee
Class : Class 10
Hi. Hello.

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Nipun Abhilash from National Public School, Banashankhari, Bangalore
Subject :IMO    Class : Class 8

Ans 1:

Paarth Vashistha from Kunskapsskolan Gurgaon , Gurgaon
Class : Class 8
90 - v not 90v

Ans 2:

Hprakash09 from Billabong high Bhopal, Bhopal
Class : Class 7
There is a small error here

Ans 3:

Vibha from NPS , Singapore
Class : Class 5

Ans 4:

Arya Sur from Calcutta Boy's School, Kolkata
Class : Class 7
90-v, slight printing error

Ans 5:

Vibha from NPS , Singapore
Class : Class 5

Ans 6:

Vineet Agarwal from DPS, Gurgaon
Class : Class 5
The answer should be d but the option is written wrong it should be 90-v not 90 v so i hope you get it

Ans 7:

Nikasha Parashar from Sanskriti, New Delhi
Class : Class 8

Ans 8:

Aditya Saha from The Lexicon International School Kalyaninagar Pune, Pune
Class : Class 9
agree

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Tejashree Colvalcar from Sharda Mandir School, PANAJI GOA
Subject :IMO    Class : Class 8

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Prathamesh Raje from DPS Electronic City, Bangalore
Subject :IMO    Class : Class 7

Ans 1: (Master Answer)

Admin from revisewise, Noida
Class : Class 1

Let Cost price be ‘x’.
Selling price = x – 15% of x = 85x /100
85x /100 = 1275
So, x(cost price) = 127500/85 = Rs. 1,500
So, new selling price = 1500 + 10% of 1500
= 1500 + 150 = Rs. 1650
Answer-(D) Rs 1650


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Ashwak from Cambridge, Jalandhar
Subject :IMO    Class : Class 6

Ans 1:

Vedant Afre from City Pride School, Pune
Class : Class 7

Ans 2: (Master Answer)

Admin from revisewise, Noida
Class : Class 1

(C): It is given that,
Area of rectangle = Area of square
⇒ l × b = side × side
Also, length of rectangle = perimeter of square


Ans 3:

Pranya Gupta from Delhi Public School Ghaziabad Vasundhara, Ghaziabad
Class : Class 6

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Swarit from Indian School Wadi kabir, Muscat
Subject :IMO    Class : Class 5

Ans 1: (Master Answer)

Admin from revisewise, Noida
Class : Class 1

(D): The pattern followed is


Ans 2:

ARADHYA AGARWAL from NEW ERA PROGRESSIVE SCHOOL, Korba
Class : Class 7
Why no solution ??

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Shaarav Dutt from Delhi Public School, NOIDA
Subject :IMO    Class : Class 2

Ans 1:

Gaurika Bhasin from Genesis global school, Noida
Class : Class 2
1 : 2 x 10 17 x 10 20 x 1 = 2102 : 12 x 10 7 x 10 5 x 1 = 1953 : 7 x 10 20 x 10 20 x 1 = 2903 > 1 > 2Close1 : 2 x 10 17 x 10 20 x 1 = 2102 : 12 x 10 7 x 10 5 x 1 = 1953 : 7 x 10 20 x 10 20 x 1 = 2903 > 1 > 2Close1 : 2 x 10 17 x 10 20 x 1 = 2102 : 12 x 10 7 x 10 5 x 1 = 1953 : 7 x 10 20 x 10 20 x 1 = 2903 > 1 > 2Close1 : 2 x 10 17 x 10 20 x 1 = 2102 : 12 x 10 7 x 10 5 x 1 = 1953 : 7 x 10 20 x 10 20 x 1 = 2903 > 1 > 2Close

Ans 2: (Master Answer)

Admin from revisewise, Noida
Class : Class 1

(C): 1 : 20 + 170 + 20 = 210
2 : 120 + 70 + 5  = 195
3 : 70 + 200 + 20  = 290
As, 290>210>195

So, 3 > 1 > 2


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