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Last updated: Oct 13, 2021

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Olympiad preparation for Mathematics

Tutorial

Olympiad preparation for Mathematics

Fraction of the number is the best way to show the part that are to separated from the whole parts.
Profit and Loss influences the business plan. When ever the business is not getting more profit, then the system of management studies the causes of the loss or ways of the marketing of the others competitive companies. When the person who works hard for the project, is not trying to get better income, then the person didn't try to know about the way to handle the client. When the person is purchasing the property at high rate, and selling the house or property at very low price, then the man is not getting profit.

Question based on polygon 







Questions - What is the whole number?

Basically the whole numbers are the numbers starting from the zero. The numbers are as follows 0,1,2,3,4,5,6,7 and so on. 



Try to get answers by your own-

Question- Select the correct statement.

A)  Renuka had 1556 cm long cloth. She wants to cut 13 m 50 cm from it. The length of cloth left with her will be 2.06 m.

(B) Renu got Rs 500 and spent on stationery items and 350 on furniture. The amount left with Rita is 331.

(C) Pramila bought  250 g capsicums, 700 g onions, 100 g gingers, 600 g potatoes and 300 g apple. The total weight of the vegetables she bought is 2.350 kg.

Q- The present age of Aditya's mother is four times that of Aditya's age. Aditya's age ten years from now will be half of his mother's present age. what are their present ages ?
Hint - let Aditya's age = X
present age of Aditya's mother is four times that of Aditya's age = 4X
Aditya's age ten years from now = X + 10

As, Aditya's age ten years from now will be half of his mother's present age.
 X + 10 = (1/2)*4X
X +10 =2X
+ 10 = 2X - X
10= X
So,    Aditya's age = X = 10
present age of Aditya's mother is four times that of Aditya's age = 4X = 4*10= 40

Try to solve it by own.

Q - The sum of three consecutive multiple of 5 is 330. Find the multiples. 
Hint - Let first number is X
Second number is X+5
Third number is X+10
X+X+5+X+10 =330
3X=330-15=315
X=315/3=105
first number is X =105
Second number is X+5=110
Third number is X+10=115

Q -  The measures of two angles of a quadrilateral are 135? and 45?. The remaining two angles are equal. Find the measure of each of the angle ?

Hint -  measures of two angles of a quadrilateral are 135 and 45.
 The remaining two angles are equal - X

 Q. Two coins are tossed simultaneousiy Find the probability of setting. i) Two heads ii) one head iii) no head.

Q. Construct a quadrilateral ABCD in which AB=4.2cm. BC = 4.8cm, CD=6.3cm, AD=3.1cm and BD=6.7 cm.

Q. Study the following statements carefully and find the correct statement.
Statement 1: Additive identity does not exist in natural numbers.
Statement 2: Sandeep distributes 4 boxes of sweets. If each box comprises 6 chocolates and 10 candies, then there are 64 sweets in 4 boxes,

(A) Both Statement-1 and Statement-2 are true.
(B) Statement-1 is true but Statement-2 is false.
(C) Statement-1 is false but Statement-2 is true.
(D) Both Statement-1 and Statement-2 are false.

Q. State 'T' for true and 'F' for false.

I.Sum of two whole numbers is always less than their product.

II. Whole numbers are not closed under multiplication.

III. If a whole number is divided by another whole number which is greater than the first one, then the quotient is not equal to zero

Hint - I. True for 7*0= 0, 0+7= 7

(Q)Find the difference of the square of two consecutive numbers 63 and 64 using formula.

(Q)State whether it is  the correct statement or not.

 Yashika has to cover a distance of 20 km 50 m. She walked 1 km and went by bus for 15 km and hired an auto for rest of the distance. The distance she covered by auto is 4.05 km.


(Q) Fill in the blanks.

(1) The product of any two whole numbers is a __________ number.

(ii) If a and b are any two whole numbers and b < a, then a - b is a _________  number.

(iii) The product of a whole number and zero is ______________

(iv) The product of a whole number and  one is ____________

Ans.  (1)whole (ii)whole (iii) zero (iv) whole number or number it self

Try to get answer.

(Q) If husband is called wife, wife is called grandfather, grandfather is called grandmother, grandmother is called maternal grandmother, maternal grandmother is called maternal grandfather, maternal grandfather is called maternal uncle and maternal uncle is called maternal aunt, then what will the father of the mother be called? 

(A) Maternal grandmother
 (B) Maternal uncle 
(C) Maternal grandfather
 (D) Maternal aunt

Q. Raj Kumar went to a craft fair where he spent a total of 16.00. He spent rupees 6.00 on admission and went to 8 chair. He spent the same amount of money (m) at each table. The given expression can be used to find how much money he spent at each table. 16 = 6 + 8 m. Find money spent on each chair ?

Answer -
  He has total money - 16.
He spent rupees 6.00 on admission 
and went to 8 chair. 
He spent the same amount of money (m) at each table.
same amount of money= X
 16= 6+ 8 X
16-6= 8X
10\8= X
X= 1.25( ans)

Q. In a class of 35 students, Kunal is placed seventh from the bottom whereas Sonali is placed ninth from the top. Pulkit is placed exactly in between the two. What is Kunal's position from Pulkit? 

(A) 9th
(B) 10th 
(C) 11th
 (D) 13th

Q. Find the value using distributive property.
728 x 102
Ans- 
728(100+2)= 728*100+ 728*2
= 72800 + 1456

Q. The product of two numbers is -5/12. If one of the numbers is 18. Find the other.
Hint -
First number - X
Second number - 18
X * 18 =  -5/12,
X = - ( 5/12) / 18

Q. Study the following statements carefully and select the correct option.

Statement-1 : Place value of a digit increases by 10 times as the digit moves from the right to the left place by place.

 Statement-2: Any number of zeroes placed to the right of the decimal part of a number does not change the value of the num!

(A) Both Statement-1 and Star are true.

(B) Statement-1 is true but s is false.

(C) Statement-1 is false but Statement-2 is true.
(D) Both Statement-1 and Statement-2 are false.


All review comments

Sir, write answers to last question.( Raj Kumar..)
Write about decimal places
Wow it is good topic

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