Find the missing number:
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Saturday, April 12, 2014
HCF and LCM
the traffic lights at 3 different road crossings change after 48 sec,
72 sec and 108 sec . If they change simultaneously at 7 a.m after what
time will they change again simultaneously ?
Friday, April 11, 2014
Request
Humble request to all of you:
If you have question papers of IPM, MTSE, OLYMPIAD, JMO etc. or even your school exam, or class test, do send it to us.
We will post it for the benefit of all.
you may send it on my email: shubhro.enerjet@gmail.com
Thank you for reading through this message.
Shubhro and nanu
Tuesday, April 8, 2014
Monday, April 7, 2014
the other India
Good morning life
It’s 6:30 in the morning at Sealdah Railway Station. Kanchanjanga Express is about to leave in another 5
minutes and I am stretching out on the foot-board of my compartment trying to get a glimpse of Swamiji.
Already a North Westerly disturbance has sent cold waves in this part of the world, but today at this
moment, anxiety seems to get the better of me and I am sweating profusely.
I try to reach swamiji on his mobile but he is not picking…a flurry of questions pass my mind….have
swamijis’ become more human….did he take me for a jolly good hog wash when he said he was
coming….I hope everything is ok….. and then suddenly lo and behold….out of the hum and melee on the
platform I see a saffron attire moving briskly through the maze of generous sprinkling of lesser mortals.
Yes there he is limping and running with his oversized luggage, stopping occasionally to catch a
breath…poor swamiji…in the days of glory old …so I am told ...the world would come to a stop if the
revered swamiji from Ramakrishna mission was running to catch a train, but then those were different
times, I said to myself.
Swamiji comes and drops his luggage near me, his huge body has given up finally but not at an
inappropriate time I must say, he can go no further, his throat is perched and his breathing is heavy, I
immediately step down to touch his feet, I know it is not the right time for blessings… pick up his luggage
and help him to his seat. Kanchanjanga express gently meanders its way out of the platform…God
Almighty has heard my prayers….Swamiji is home.
It’s 6:30 in the morning at Sealdah Railway Station. Kanchanjanga Express is about to leave in another 5
minutes and I am stretching out on the foot-board of my compartment trying to get a glimpse of Swamiji.
Already a North Westerly disturbance has sent cold waves in this part of the world, but today at this
moment, anxiety seems to get the better of me and I am sweating profusely.
I try to reach swamiji on his mobile but he is not picking…a flurry of questions pass my mind….have
swamijis’ become more human….did he take me for a jolly good hog wash when he said he was
coming….I hope everything is ok….. and then suddenly lo and behold….out of the hum and melee on the
platform I see a saffron attire moving briskly through the maze of generous sprinkling of lesser mortals.
Yes there he is limping and running with his oversized luggage, stopping occasionally to catch a
breath…poor swamiji…in the days of glory old …so I am told ...the world would come to a stop if the
revered swamiji from Ramakrishna mission was running to catch a train, but then those were different
times, I said to myself.
Swamiji comes and drops his luggage near me, his huge body has given up finally but not at an
inappropriate time I must say, he can go no further, his throat is perched and his breathing is heavy, I
immediately step down to touch his feet, I know it is not the right time for blessings… pick up his luggage
and help him to his seat. Kanchanjanga express gently meanders its way out of the platform…God
Almighty has heard my prayers….Swamiji is home.
freedom from maths
http://ipm-mtse-olympiad-state-scholarship.blogspot.in/2013/07/point-to-ponder.html
Saturday, March 15, 2014
Sunday, February 23, 2014
STD V IPM, JMO, numbers
***Find the value of x and y
2 3 X Y
X Y
2 3
+ X Y
X Y
1 1 4 1 3
***If A, B, C and D are non zero digits such that
A B
B
C
+ C
A
D
D
Find the value of
A
B
C
B
C A
+ C
A B
Tuesday, February 18, 2014
PRADNYA test paper --- prelims -for junior Olympiad for STD V and VI
PRADNYA --- prelims -for junior Olympiad
Monday, February 17, 2014
Friday, February 14, 2014
STD 8
If f(x) = x3 - mx2
- 3x + m – 2, where m Ɛ R.
Find S(m) = x13
+ x23+ x33, where x1, x2,
and x3 are the roots of the polynomial
STD. 8 JMO
If f(x) = ax3 + bx2
+ cx + d, where a,b,c and d Ɛ R. Find a,b,c and d
such that
f(1) + f(2) + f(3)
+................f(n) = n4
Where n Ɛ N.
Monday, February 10, 2014
Puzzle
A man who recently died, left a sum of Rs 8,000,000 to be divided among his widow, 5 sons and 4 daughters. His Will stated that every son should receive 3 times as much as a daughter, and that every daughter should have twice as much as their mother. How much was the widow's share?
Saturday, February 1, 2014
Questions (with answers) on HCF and LCM
- Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
- The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
- Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:
- The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
- The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:
-
The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is
answers
Friday, January 31, 2014
Tutorial - how to deal with brackets
6 to 7 years of schooling
http://www.youtube.com/watch?feature=player_embedded&v=eHqdcz4pjwE
http://www.youtube.com/watch?feature=player_embedded&v=eHqdcz4pjwE
tutorial - complete the perfect square
for students with 6-7 years of schooling
http://www.youtube.com/watch?feature=player_embedded&v=5WBXhszflR8
tutorial -multiplying 2 binomials
for students with 6-7 years of schooling
http://www.youtube.com/watch?feature=player_embedded&v=pBFIXFwneoM
http://www.youtube.com/watch?feature=player_embedded&v=pBFIXFwneoM
Tutorials - how to multiply several terms at a time
for students with 6-7 years of schooling
http://www.youtube.com/watch?feature=player_embedded&v=zs6IymmSRrA
http://www.youtube.com/watch?feature=player_embedded&v=zs6IymmSRrA
tutorials - how to multiply monomials
for students with 6-7 years of schooling
http://www.youtube.com/watch?feature=player_embedded&v=3NgJ1pW8CAY
http://www.youtube.com/watch?feature=player_embedded&v=3NgJ1pW8CAY
Tutorial - adding and subtraction of monomials
for students with 6-7 years of schooling
http://www.youtube.com/watch?feature=player_embedded&v=1tfVF9nirEM
http://www.youtube.com/watch?feature=player_embedded&v=1tfVF9nirEM
tutorial - how to identify the numerical coefficients of monomials,
for students with 6-7 years of schooling
http://www.youtube.com/watch?feature=player_embedded&v=3eDu1zLYqPg
http://www.youtube.com/watch?feature=player_embedded&v=3eDu1zLYqPg
tutorial - how to identify the numerical coefficients of monomials
for students with 6-7 years of schooling
http://www.youtube.com/watch?feature=player_embedded&v=gjzpd6DcW0k
http://www.youtube.com/watch?feature=player_embedded&v=_ZPtY7GldPI
http://www.youtube.com/watch?feature=player_embedded&v=gjzpd6DcW0k
http://www.youtube.com/watch?feature=player_embedded&v=_ZPtY7GldPI
Thursday, January 30, 2014
Monday, January 27, 2014
Thursday, January 23, 2014
Wednesday, January 22, 2014
STD V unit test
SMT. SULOCHANADEVI SINGHANIA SCHOOL
UNIT TEST, 20 marks, 30 mins
- Fill in the blanks with the correct answers:
- The short form of 50 000 + 7000 + 800 + 20 + 5 is .....................
- 4 million = ...............thousands
- 552 995 613 is the successor of ..............................
- 70 paise = ........................ % of a rupee.
- the period of the number 7 in 7485139 is thousands.
- 4% is same as 0.004.
- write the number name for 85830759 in the international system
- express 24 out of 60 as a percentage
- write the largest 7 digit number using the digits 2,7,1 and 9.
- write 72% as a fraction in its lowest form.
- write in figure: one hundred sixty three million sixty thousand and five.
- how many lakhs make a billion
4. Find out the value of each side and put the correct sign in the box. (show working)
- 25% of 50 ............. 50% of 40
- Convert to percentage: a) 5/10 b) 2 1/5
- Find the percentage of letter "I" in the word "SCIENTISTS"
- Rahul has Rs 3500 in his piggy bank. He uses 20% of the money to buy some story books and save the rest of it. Find the amount of money he used to purchase the storybooks.
- Find the difference in place value of the two 3s in 73564530.
Tuesday, January 21, 2014
Friday, January 3, 2014
MOCK MTSE questions STD V
Answer:
Since simultaneous equation is not in the syllabus of Std. V, We will have to do it differently,
Given, S/M = 2/14
or, S/2 = M/14 = k, say
SO, S = 2k and M = 14k
Now, M - S = 24
or 14k - 2k = 24
or, 12k = 24
or k = 2
therefore, S = 4, M = 28
The ratio of the 2 supplementary angles is 5:7. What is the measure of the angles?
Answer:
180 x 5/ (5+7) = 75 deg
180 x 7 /(5 + 7) = 105 deg
Express as fraction: 24.36666666666666666666666...............
Answer:
x = 24.3666666666....
100x = 2436.666666666666666666.... (1)
10x = 243.6666666666666666... (2)
subtracting (2) from (1), we get
90x = 2193
or x = 2193/90 = 731/30 = 24 11/30
The time taken from A to B gets reduced by 3/4 th when Nanu takes the train in place of bus. What is the ratio of speed of Train to Bus.
Answer:
let A to B distance = S
S = Vb x t = Vt x (1 - 3/4)t
V is generally the connotation for speed, S for distance and t for time. it will save you a lot of time if you use standard connotations.
Therefore, Vb = Vt /4, or, Vt / Vb = 4
The sum of "n" consecutive natural numbers is 703. What is the value of "n"?
Answer:
This question is tricky for a std. V student since quadratic equations are not taught in Std V.
But there is a way to proceed
sum of n consecutive number = S = n( n+1)/2 = 703
or n(n + 1) = 1409
let us list all the factors of 1409, they are 2, 19, 37
we observe, 19 x 2 = 38, therefore n(n + 1) will be 37 x 38 = 1409
therefore, n = 37
Find the ratio of interior to exterior angle of a regular heptagon?
Answer:
one has to remember that the sum of exterior angles of a polygon is always 360 degs.
therefore for a regular heptagon ( 7 sided) the measure of exterior angle = 360 / 7
So, interior angle = 180 - 360/7 = (1260 - 360)/7 = 900/7
so, ratio of interior / exterior angle = (900/7) / (360/7) = (900 / 7) x (7/ 360) = 5/2
A boat goes 15 km with stream in 3 hours while it takes 5 hours on its return journey. find by how much speed is it it less on its return journey?
Answer:
upsteam speed = 15/5 = 3 km/h
downsteam speed = 15/3 = 5 km/hr
speed difference = 5 - 3 = 2 km/h
Nanu gets 15% more marks than Bhanu. What percentage of marks did Bhanu get less than Nanu?
Answer:
prepare this simple box. The question is simply put if Nanu gets 100 how much does Bhanu get
Nanu /// Bhanu
115 //// 100
100 /// y
y = 100 x 100 / 115 = 2000/23 = 86 22/23
so, Bhanu got = 100 - 86 22/23 = 13 1/23 less than Nanu.
The sides of a rectangle are such that one side is 3times the other added by 2. The area of the rectangle is 800 sq. units. Find the perimeter of the rectangle?
. Find the value of the expression
Thursday, January 2, 2014
Ratio and Proportion STD V and VI
Ratio and Proportion
1. A and B together have Rs. 1210. If 4/15
of A's amount is equal to 2/5
of B's amount, how much amount does B
have?
Answer:
4A/15 = 2B/5 = k, say
or, A = 15k/4, B = 5k/2
therefore, 15k/4 + 5k/2 = 1210
or, k = 1210 x 4/25
so, B has = 5k/2 = 1210 x 4 /25 x (5/2) = 484
Answer:
4A/15 = 2B/5 = k, say
or, A = 15k/4, B = 5k/2
therefore, 15k/4 + 5k/2 = 1210
or, k = 1210 x 4/25
so, B has = 5k/2 = 1210 x 4 /25 x (5/2) = 484
2. A sum of money is to be distributed among A,
B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D,
what is B's share?
Answer:
let the total amount be T
Share of C = (4/14) x T
Share of D = (3/14) x T
Given (4/14)T - (3/14)T = 1000
or, T = 14000
or, B = (2/14) x 14000 = 2000
Answer:
let the total amount be T
Share of C = (4/14) x T
Share of D = (3/14) x T
Given (4/14)T - (3/14)T = 1000
or, T = 14000
or, B = (2/14) x 14000 = 2000
3. In a mixture 60 litres, the ratio of milk and
water 2 : 1. If the this ratio is to be 1 : 2, then the quantity of water to be
further added is ..................
Answer:
M/W = 2/1
so, milk = (2/3) x 60 = 40 litres and water = 20 litres
now, 40/ W = 1/2 or, W = 80
So, additional water to be added is 80 - 20 = 60 litres
Answer:
M/W = 2/1
so, milk = (2/3) x 60 = 40 litres and water = 20 litres
now, 40/ W = 1/2 or, W = 80
So, additional water to be added is 80 - 20 = 60 litres
4. The ratio of the number of boys and girls in a
college is 7 : 8. If the percentage increase in the number of boys and girls be
20% and 10% respectively, what will be the new ratio?
Answer:
Total strength of class = T
Boys = (7/15)T, Girls = (8/15)T
New number of boys = 1.2 x (7/15)T = (8.4/15)T, New number of girls = 1.1 x (8/15)T = 8.8T/15
B/G = 8.4/8.8 = 84/88 = 21/22
Answer:
Total strength of class = T
Boys = (7/15)T, Girls = (8/15)T
New number of boys = 1.2 x (7/15)T = (8.4/15)T, New number of girls = 1.1 x (8/15)T = 8.8T/15
B/G = 8.4/8.8 = 84/88 = 21/22
5. Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each
is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's
salary?
Answer:
R/S = 2/3
or, R/2 = S/3 = k say, So, R = 2k and S = 3k
Now, (2k + 4000)/(3k + 4000) = 40/57
or, 114k + 4000 x 57 = 120k + 40 x 4000
or, 6k = 4000 x ( 17)
or, 3k = S = 2000 x 17 = 34000
present salary of Sumit = 34000 + 4000 = 38000/-
Answer:
R/S = 2/3
or, R/2 = S/3 = k say, So, R = 2k and S = 3k
Now, (2k + 4000)/(3k + 4000) = 40/57
or, 114k + 4000 x 57 = 120k + 40 x 4000
or, 6k = 4000 x ( 17)
or, 3k = S = 2000 x 17 = 34000
present salary of Sumit = 34000 + 4000 = 38000/-
6. The sum of three numbers is 98. If the ratio
of the first to second is 2 :3 and that of the second to the third is 5 : 8,
then the second number is ...............
Answer:
A/B = 2/3, and B/C = 5/8
or, A/B = 10/15 and B/C = 15/24
or, A: B:C = 10:15:24
So, the second number is 98 x { 15/ (10+15+ 24) } = 30
Answer:
A/B = 2/3, and B/C = 5/8
or, A/B = 10/15 and B/C = 15/24
or, A: B:C = 10:15:24
So, the second number is 98 x { 15/ (10+15+ 24) } = 30
7. If Rs. 782 be divided into three parts, proportional to: 1/2 , 2/3, 3/4 ,
then the first part is ................................
Answer: A:B:C = 1/2 : 2/3 : 3/4
Multiplying with factor after taking LCM of denominator ( 12)
A:B:C = 6 : 8 : 9
So, the first part is = 782 x {6 / ( 6 + 8 + 9) = 204
Answer: A:B:C = 1/2 : 2/3 : 3/4
Multiplying with factor after taking LCM of denominator ( 12)
A:B:C = 6 : 8 : 9
So, the first part is = 782 x {6 / ( 6 + 8 + 9) = 204
8. The salaries A, B, C are in the ratio 2 : 3 :
5. If the increments of 15%, 10% and 20% are allowed respectively in their
salaries, then what will be new ratio of their salaries
Answer:
let the Total salary be T
New Salary of A = 1.15 x 2T/10 = 2.30T/10
New Salary of B = 1.10 x 3T/10 = 3.3T/10
New Salary of C = 1.20 x 5T/10 = 6T/10
new ratio = 2.3: 3.3 : 6 = 23: 33 : 60
Answer:
let the Total salary be T
New Salary of A = 1.15 x 2T/10 = 2.30T/10
New Salary of B = 1.10 x 3T/10 = 3.3T/10
New Salary of C = 1.20 x 5T/10 = 6T/10
new ratio = 2.3: 3.3 : 6 = 23: 33 : 60
9. If 40% of a number is equal to two-third of
another number, what is the ratio of first number to the second number?
Answer:
4A/10 = 2B/3
or A/B = 10 x 2 / (3 x 4) = 5/3
Answer:
4A/10 = 2B/3
or A/B = 10 x 2 / (3 x 4) = 5/3
10. Two
number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers
are in the ratio 12 : 23. The smaller number is
..................................
Answer:
A/B = 3/5 or, A/3 = B/5 = k say
So, A = 3k and B = 5k
(3k - 9)/ (5k - 9) = 12: 23
or, 69k - 9x 23 = 60k - 9 x 12
or, 9k = 9 x 9
or, k = 9
So, the smaller number is = 3k = 3 x 9 = 27.
Answer:
A/B = 3/5 or, A/3 = B/5 = k say
So, A = 3k and B = 5k
(3k - 9)/ (5k - 9) = 12: 23
or, 69k - 9x 23 = 60k - 9 x 12
or, 9k = 9 x 9
or, k = 9
So, the smaller number is = 3k = 3 x 9 = 27.
MTSE STD V ratio proportion question and answer
The sum of ages of the son and mother is in the ratio of 2: 14. When the son was born the mother was 24 years old. What is the age of mother and son?
MTSE STD V
Answer:
MTSE STD V
Answer:
Tuesday, December 31, 2013
Friday, December 27, 2013
Tuesday, December 24, 2013
harder HCF --- tutorial
Find the HCF of the following pair of numbers
·
703, 851
·
553, 869
·
2117, 2263
·
2773, 3009
Tuesday, December 17, 2013
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