Intersting Maths Questions

 Interesting maths Questions

1) If the sum of two prime numbers X and Y is odd, then the product of X and Y must be divisible by
(a) 2 (b) 3 (c) 4 (d) 8

2) If X is both cube and square of an integer and X is between 20 and 200, then the value of X will be
(a) 4 (b) 16 © 64 (d) 169

3) In the two-digit number X, both the sum and difference of its digit is 4. Then the value of X will be
(a) 13 (b) 31 (c) 40 (d) None of these

4) If the price of petrol is increased by 25%, what % must be reduce his consumption so that expenditure on, petrol may increase only 10%.
(a) 15% (b) 12% (c) 35% (d) none

5) A town has population growth rate of 10% per year. If the population in 1990 was 2000. What was the population in 1992?
(a) 1600 (b) 2200 © 2400 (d) 2800 (e) 2420

6) In a class of 200 students, 40% percent are girls . 25% of the boys and 10% the girls signed up for a tour. What percent of the class signed up for the tour?
(a) 19% (b) 23% © 25% (d) 27%

7) If 15% of the number is 4.5, then 45% of the same number will be.
(a) 10.5 (b) 15.3 (c) 13.5 (d) None of these

8) A school has total enrollment of 90 students there are 30 students taking physics, 25 taking English and 13 taking both what percentage of the students are taking either subjects.
(a) 36% (b) 47% (c) 51% (d) 58%

9) The triangle is formed by joining the points (3,5), (7,9) and ( 0,-3)
(a) Scalene (b)Right angled (c)Equilateral (d) Isosceles

10) Two acute angle of rt. Angled triangle are
(a) Complementary (b) Supplementary (c) Equal (d) None of these

11) In the triangle ABC, If A = 6B= 3C, what will be the Value of < B.
(a) 30 (b) 20 (c) 10 (d) 15

12) The difference between compound interest and simple interest on Rs 5120 for 3 years at 12.5% per annum will be
(a) 150 (b) 200 (c) 250 (d) 300

13) If A= {a, b,c} B= { b,c,d,e} then the Value of A Δ B will be
(a) {a, d,e} (b) {a,b,c,d,e} (c) {a,b} (d) none

14) In a mixture of 50 liters, the ratio of milk to water is 3:2, how much water must be added to make the ratio 2:3.
(a) 20 (b) 25 (c) 30 (d) 40

15) Two numbers are in the ratio 3:4 & their product is 192. then the numbers will be
(a) 16 & 48 (b) 12 & 48 (c) 12 & 16 (d) None of these

16 ) The radius of right circular cylinder is doubled. What is the ratio of old volume to new volume?
(a) 1: 2 (b) 2:1 (c) 1:4 (d) None of these

17) If x+2y= 20, y+ 2z = 9 and 2x+ z = 22 then the arithmetic mean of a, b and c will be
(a) 10/3 (b) 17/3 (c) 17 (d) 22/3

18) If x2 +y2 =25 and (x+y)2 = 169 then the value of xy is
(a) 62 (b) 72 (c) 82 (d) 92

19) If the sums of the three consecutive odd integers in 735, what is the largest of these integer
(a) 245 (b) 247 (c) 249 (d) None

20) The value of 4cosø + 3sin ø =5 then 3cos ø - 4sin ø equal to
(a) 3 (b) 4 (c) 5 (d) None

21) If x2=16, y2=4 which of the greatest possible value of (x-y) 2 ?
(a) 4 (b) 16 (c) 36 (d) 12

22) If x+1/x=2 then the value of x99+1/ x99 will be
(a) 0 (b) 1, (c) 2 (d) 3 (e) None

23) After increasing 12.5% a person gets Rs 2700 find his previous income. (a) Rs 2000 (b) Rs 2500 (c) Rs 2400
24) If 20% of 220 equal 5.5 % of P, what is P?
(a) 10 (b) 55 (c) 800 (d) 110 (e) None

25) If 20% of a is equal to the 80% of b, then a+b is
(a) 5a (b) 2a (c) 2.5a (d) None of these

26) In a mixture of 35 liters, the ratio of milk to water is 4:1 another 7 liters of water is added to the mixture then the ratio of milk to water in the mixture will be. (a) 1:2 (b) 2:1 (c) 2:3 (d) None

27) The difference between C.I and S.I on the sum of Rs 4800 for 2 years at 5% pa will be
(a) Rs 10 (b) Rs 12 (c) Rs 30 d) None

28) A rectangle with one side 4cm is inscribed in a circle of radius 2.5 cm. Then the Area of the rectangle will be
(a) 12cm2 (b) 14cm2 (c) 10cm2 (d) None

29) The largest sphere is carved out of a cube of side 21cm. Then the volume of the remaining wood of cube will be
(a) 4410cm3 (b) 4010 cm3 (c) 4900 cm3 (d) None
30) If 6a+3b=20 and 4a+7b= 10 then the arithmetic mean of a and b is
(a) 25 (b) 15 (c) 20 (d) None

31) If 0.1% of m =10% of n then m is what % of 10n?
(a) 1% (b) 10% © 1000% (d) 100% (e) None

32) If 120% of a is equal to 80% of b, which of the following is equal to a+b
(a) 1.5a (b) 2.5a (c) 3a (d) None

33) If the sides of a square increase by 40%, then the area of the square increases by
(a) 50% (b) 80% (c) 96% (d) 95%

34) If X is an odd positive integer then other consecutive odd integer is
(a) X+2 (b) X+1 (c) X2 (d) 2X

35) If X is increased by 25% then by what percent is X2 increased?
(a) 56.25% (b) 62.25 (c) 50.25% (d) None

36) The selling price of two radios for 960 each. Gained 20% in 1st & loss 20% in the 2nd then loss % on his total outlay will be.
(a) 1% (b) 2% (c) 3% (d) None of these

37) A single discount is equivalent to the successive discount 10% and 5% will be
(a) 14.5% (b) 15% (c) 10% (d) None

38) If a:b=6:7 and b:c= 8:7 than a:c will be
(a) 48:49 (b) 7:9 (c) 30:7 (d) None

39) The points (3,3), (9.0) and (12,21) are the vertices of
(a) Isosceles triangle (b) Equilateral triangle(c) Right angled triangle (d) None of these

40) From a cube of side 21cm, a cone of maximum size is carried out then the volume of the cone will be
(a) 720 cm3 (b) 618 cm3 (c) 718.6 cm3 (d) None

41) If the sum of two sides of a right angled triangle is 17 cm and the hypotenuse is 13cm then the length of sides are
(a) 15 cm and 2 cm (b) 12cm and 5cm (c) 10cm and 7cm (d) None

42) One of the factors of 2x3+7x2-4x-14=0 is will be
(a) x-5 (b) 2x+7 (c) x-3 (d) None

43) David’s income was increased by 10% and later decreased by 10% what is the change percent in his income
(a) 0% (b) 1% (c) 2% (d) 25%

44) If the number 8 and 12 are increased by 25% and 33 1/3% respectively what will be the average incensement?
(a) 30% (b) 25% (c) 20% (d) None

45) Two dice are tossed then the probability of getting a sum of 6 or 5 will be
(a) 7/18 (b) ¼ (c) ¾ (d) None

46) If 3x+2y=11 and 2x+3y= 17, then the average value of x and y will be
(a) 2.5 (b) 2.8 (b) 5.6 (c) 5.8 (d) None

47) If a-b=10 and a2-b2=20 than the value of a+b will be
(a) -6 (b) -4 (c) 2 (d) 6

48) If f(x) = x2+3, then the value of f(-8) will be
(a) 66 (b) 67 (c) 68 (d) 69

49) If tan α+ sin α = m & tan α- sin α = n then the value of m2-n2 will be
(a) mn (b) m2n (c) 2mn ( d) None

50) What is the value of sin α if X= (1+ sin α)/ cos α
(a) (1-X2)/(1+ X2) (b) (-1+X2)/(1+ X2) (c) ) (1+X)/(1- X) (d) (1-X)/(1+ X)

Tricky Maths

Try this simple Maths trick

Try this out???

Step1 : Think of any number.
Step2 : Subtract the number you have thought with 1.
Step3 : Multiply the result with 3.
Step4 : Add 12 with the result.
Step5 : Divide the answer by 3.
Step6 : Add 5 with the answer.
Step7 : Take away the number you have thought from the answer, that is, subtract the answer from the number you have thought.

 Your answer is 8 

Quick Square Trick

Step1 : If you need to square a 2 digit number ending in 5, you can do so very easily with this trick.
Step2 : Mulitply the first digit by itself + 1, and put 25 on the end.
Step3 :That is all!
Step4 : Ex:25 ie(2*(2+1))&25

Be a better Person

Some tips for improving your personality

Success - That's what we want!

1. Be a better listener.


2. Read more and expand your interests.


3. Be a good conversationalist.


4. Have an Opinion.


5. Meet New People.


6. Be yourself.


7. Have a positive outlook and attitude.


8. Be fun and see the humorous side of life.


9. Be supportive of others.
10. Have Integrity and treat people with respect..

Organic Nomenclature

Organic Nomenclature

IUPAC Rules for Alkane Nomenclature

 1.   Find and name the longest continuous carbon chain.
 2.   Identify and name groups attached to this chain.
 3.   Number the chain consecutively, starting at the end nearest a substituent group. 
 4.   Designate the location of each substituent group by an appropriate number and name.
 5.   Assemble the name, listing groups in alphabetical order using the full name (e.g. cyclopropyl before isobutyl). 
    The prefixes di, tri, tetra etc., used to designate several groups of the same kind, are not considered when alphabetizing.

IUPAC Rules for Cycloalkane Nomenclature

 1.   For a monosubstituted cycloalkane the ring supplies the root name (table above) and the substituent group is named as usual. A location number is unnecessary.
 2.   If the alkyl substituent is large and/or complex, the ring may be named as a substituent group on an alkane.
 3.   If two different substituents are present on the ring, they are listed in alphabetical order, and the first cited substituent is assigned to carbon #1. The numbering of ring carbons then continues in a direction (clockwise or counter-clockwise) that affords the second substituent the lower possible location number.
 4.   If several substituents are present on the ring, they are listed in alphabetical order. Location numbers are assigned to the substituents so that one of them is at carbon #1 and the other locations have the lowest possible numbers, counting in either a clockwise or counter-clockwise direction. 
 5.   The name is assembled, listing groups in alphabetical order and giving each group (if there are two or more) a location number. The prefixes di, tri, tetra etc., used to designate several groups of the same kind, are not considered when alphabetizing.\

IUPAC Rules for Alkene and Cycloalkene Nomenclature  1.   The ene suffix (ending) indicates an alkene or cycloalkene.  2.   The longest chain chosen for the root name must include both carbon atoms of the double bond.   3.   The root chain must be numbered from the end nearest a double bond carbon atom. If the double bond is in the center of the chain, the nearest substituent rule is used to determine the end where numbering starts.  4.   The smaller of the two numbers designating the carbon atoms of the double bond is used as the double bond locator. If more than one double bond is present the compound is named as a diene, triene or equivalent prefix indicating the number of double bonds, and each double bond is assigned a locator number.  5.   In cycloalkenes the double bond carbons are assigned ring locations #1 and #2. Which of the two is #1 may be determined by the nearest substituent rule.  6.   Substituent groups containing double bonds are:             H2C=CH–   Vinyl group             H2C=CH–CH2–   Allyl group