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SIMULTANEOUS LINEAR EQUATION WORD PROBLEMS WITH ANSWERS

  1. Suresh scored 15 marks more than Ramesh in Mathematics. If the sum of their marks in Mathematics is 275, find the marks obtained by each of them. Ans. Suresh :- 145; Ramesh :- 130 marks
  2. The sum of two numbers is 40 and the greater number is thrice the smaller number. Find the numbers. Ans. The greater number is 30 & the smaller number is 10.
  3. The sum of the two numbers is 25 and the difference between them is 15. Find the two numbers. Ans. The greater number is 20 and the smaller number is 5.
  4. The length of a rectangle is greater than twice its breadth by 4 cm. If the perimeter of the rectangle is 26 cm, find its length and breadth. Ans. Length of the rectangle is 10cm & its breadth is 3 cm.
  5. The sum of the present ages of Ram and Shyam is 36 years. Ram is elder than Shyam by 2 years. Find their present ages. Ans. The present age of Ram is 19 yrs. And Shyam is 17 years.
  6. Ram has in all 35 coins, some of denomination 25 paise and some of 10 paise. Total amount is Rs. 6.20. Find the number of coins of each kind. Ans. 25 paise coins; - 18 and 10 paise coins: - 17.
  7. Cost of a table is three times the cost of a chair. One table and one chair together cost Rs. 800. Find the cost of a table.  Ans. 600
  8. The perimeter of an isosceles triangle is 43cm. The length of its each congruent side is 1 cm less than twice the length of its base. Find the length of each side of the triangle. Ans. 17 cm, 9 cm, 17 cm.
  9. The difference between two numbers is 5. Six times the smaller number is equal to four times the greater. Find the numbers. Ans. 15 and 10.
  10. In a right – angled triangle, one of the acute angles exceeds the other by 200. Find the measure of the acute angles. Ans. 350 & 550.

1.        The perimeter of an isosceles triangle is 27 cm and the length of the congruent sides is greater than twice the length of the base by 1 cm. Find the length of each side of the triangle. Ans. 11 cm, 11cm and 5 cm.
  1. Ina a cyclic quadrilateral ABCD, measure of angle A is double the measure of angle C. Find the measure of angle A and angle C. Ans. 1200 & 600.
  2. The sum of two numbers is 70. Three times the greater number is equal to four times the smaller number. Find the two numbers. Ans. 40 and 30.
  3. The difference between two numbers is 16. The greater number is 1 more than twice the smaller number. Find the numbers. Ans. 31 and 15.
  4. 2 pens and 3 pencils cost Rs. 26, while 3 pens and 2 pencils cost Rs. 34. Find the cost of a pen and a pencil. Ans. Pen: - Rs. 10 Pencil: - Rs. 2.
  5. In a parallelogram ABCD, the measure of angle A is thrice the measure of angle B. Find the measure of angle A and angle B. Ans. Angle A :- 1350 & angle B :- 450.
  6. A piece of string 12m in length was cut into two pieces such that one piece is x metres and the other is y meters. If y is 2 meters more than x, find the length of each piece. Ans. 5m and 7 m.
  7. The difference between the measures of angle A and angle B of a parallelogram ABCD is 180. Find the measure of angle A and angle B. Ans. Angle A: - 990 and Angle B: - 810.
  8. 2 mangles and 5 oranges together cost Rs. 30; but 4 mangoes and 3 oranges cost Rs. 46. Find the cost of a mango and an orange. Ans. Mango 10Rs, Orange 2 Rs.
  9. 3 books and 1 notebook together cost Rs. 53, but 2 books and 4 notebooks cost Rs. 62. Find the cost of a book and a note book. Ans. Book Rs. 15, Note book Rs. 8.

  1. 3 pepsi and 1 mangola bottles together cost Rs. 53, but 2 pepsi and 4 mangola bottles cost Rs. 62. Find the cost of a pepsi and a mangola bottle. Ans. Cost of pepsi bottle: - Rs. 15 Mangola bottle: - Rs. 8.
  2. Out of 10 litres, a milkman sells some milk at the rate of Rs. 15 per litre and some at the rate of Rs.12 per litre. He gets Rs. 141 on selling it. Find the quantity of milk he sold at each rate. Ans. 7 litres @ Rs. 15 per litre and 3 litres @ Rs. 12 per litres.
  3. Mother’s age is 4 times her daughter’s age. 16 years hence mother’s age will be twice her daughter’s age at that time. Find their present ages. Ans. Mother’s present age ; 32 years. daughter’s present age : 8 years.
  4. The sum of the present ages of Mangesh and his mother is 70 years. Seven years ago mother’s age was three times the age of Mangesh at that time. Find their present ages. Ans. Mangesh: - 21 years. Mother: - 49 years.
  5. Some postcards costing 25 paise each and inland letters costing Rs. 2 each were purchased for Rs. 53. Total number of postcards and inland letters purchased was 44. If the number of postcards and inland letters is interchanged, how much less would be the amount? Rs. 7 less.
  6. If 3 is added to the numerator and 5 is subtracted from the denominator of a fraction, the value of the fraction becomes ¾ and if 1 is added to the numerator and 3 is subtracted from the denominator, the value of the fraction becomes ½. Find the original fraction. Ans. The original fraction is 6/17.
  7. Sum of two numbers is 200. 1/3 of greater number is equal to ½ of smaller number. Find the numbers. Ans. 120 & 80.  
  8. On the first day of the sale of tickets of a drama, 50 tickets in all were sold. If the rates of the tickets were Rs. 20 and Rs. 40 per ticket and the total collection was Rs. 1,800, find the number of tickets sold at each rate.  Ans. 10 tickets @ Rs. 20,       40 tickets @ Rs. 40.
  9. Age of John’s father is three times the age of John. Five years ago, age of father was four times John’s age at that time. Find their present ages. Ans. Father’s age :- 45 yrs.  John’s age :- 15 yrs. B
  10.  The length of a rectangle is less than twice its breadth by 9cm. The perimeter of the rectangle is 54 cm. Find the area of the rectangle. Ans. Area is 180 sq cm.

1.        If I divide the sum of two numbers by 3, the quotient is 4 and the remainder 1. If I divide the difference of these two numbers by 2, the quotient is 2 and the remainder 1. Find the number. Ans. 9 and 4.
2.        Ramesh distributed certain number of pencil among his friends. If the number of friends were 4 more, then each would have got 1 pencil less. But if the number of friends were 4 less, then each would have received 2 pencils more. Find the number of friends and total number of pencils distributed.  Ans. Friends :- 12 pencils : 48
3.        3 pens and 4 pencils cost Rs. 38, while 2 pens and 5 pencils cost Rs. 30. Find the cost of each pen and each pencil. Ans. Pen Rs. 10 and Pencil Rs. 2.
4.        If the numerator of a fraction is decreased by 1, its value becomes ½ and if its denominator is increased by 7, its value becomes 1/3. Find that fraction. Ans. The fraction is 5/8.
5.        If one is subtracted from the numerator and denominator, the value of the fraction becomes 1/3. When 3 is added to its numerator and denominator, the value becomes ½. Find the fraction. Ans. The fraction is 5/13.
6.         The value of the fraction becomes 2/5, if 2 is subtracted from its numerator and the value becomes ½, if 1 is added to its denominator. Find the fraction. Ans. 8/15.
7.        Some amount is distributed equally among some boys. If 10 boys were more each would get Rs. 2 less and each would get Rs. 6 more if 15 boys were less. Find the amount distributed and the number of boys. Ans. 40 boys and Rs. 400.
8.        Students were standing in rows for P.T exercises. If 4 students were less in each row, 10 more rows were required and if 5 students were more in each row, then the number of rows were reduced by 8. Find the number of students. Ans. 800 students.
9.        If 1 is added to the numerator of a certain fraction, it becomes ½. Instead, if 5 are subtracted from its denominator, it becomes 1. Find the fractions. Ans. 3/8
10.     A certain amount is distributed equally among certain boys. If there were 5 boys more each would have received Rs. 8 less, while if there were 4 boys less, each would have received Rs. 10 more. Find the amount distributed and the number of boys. Ans. Rs. 800 boys 20.

  1. The perimeter of a rectangle is 40 cm and its length is 5 cm more than twice its breadth. Find the length and the breadth of the rectangle. Ans. Length = 15cm and breadth = 5 cm.
  2. A two – digit number is 4 times the sum of its digits. The number obtained by interchanging the digits is greater by 9 than the original number. Find the original number. Ans. The original number is 12.
  3. A boat requires 6 hrs to travel 36 km downstream and 24 km upstream. It requires 9 hrs to travel 48 km downstream and 40 km upstream. Find the speed of the stream and that of the boat in the still water. Ans. Speed of the Boat = 10Km/ hr. and the speed of the stream = 2 Km/ hr. 

FOR YOUR SUCCESS IN BOARD EXAM.............


TAKE INTEREST IN ALL SUBJECTS AND READ WITH GREAT CARE....................
DEVELOP A POSITIVE ATTITUDE; "I CAN AND I WILL COMPLETE THE SYLLABUS"...
SELECT YOUR STUDY CORNER WHICH IS QUITE, AWAY FROM ANY DISTURBANCE.....
FIGURES, LAWS, FORMULAE IN MATHS AND SCIENCE ARE SOLVED INDEPENDENTLY...........
STUDENTS WHO FIND IT DIFFICULT TO REMEMBER SHOULD READ ANSWER AGAIN AND AGAIN AND PRACTICE WRITING THE SAME.................
ALWAYS BEAR IN MIND THAT IT IS NOT IMPORTANT HOW LONG YOU STUDY, BUT HOW SINCERELY YOU STUDY...............
ENTER THE EXAMINATION HALL WITH FULL CONFIDENCE IN YOUR ABILITY AND IN YOUR PREPARATION..................
AFTER RECEIVING THE MAIN ANSWER-SHEET READ ALL THE INSTRUCTIONS CAREFULLY AND FILLS IN ALL REQUIRED COLUMNS. STICK THE HOLOCRAFT AND THE BARCODE STICKERS IN THE RIGHT PLACES..............................
ALL QUESTIONS NEED TO BE ANSWERED IN THE SPECIFIC TIME ONLY..... HENCE FOLLOW THE TIME FACTOR STRICTLY very STRICTLY................................
AVOID GETTING DISTRACTED BY WHAT IS HAPPENING AROUND IN THE EXAMINATION HALL. KEEP ALL YOUR ATTENTION FOCUSED ON ANSWERING THE QUESTIONS................
WRITE YOUR ANSWERS IN NEAT AND LEGIBLE HANDWRITING. UNDERLINE IMPORTANT POINTS OR LINES OR WORDS OF YOUR ANSWER. DO NOT USE PENS WITH RED OR GREEN COLOUR INK TO UNDERLINE the ANSWER..........
READ CAREFULLY ALL THE ANSWER THAT YOU HAVE WRITTEN AND MAKE SURE THAT YOU HAVE NOT LEFT OUT ANY POINT.................OR ANY ANSWER...................
TIE ALL YOUR SUPPLIMENTS CAREFULLY AND WRITE THE TOTAL NUMBER OF SUPPLEMENTS, ON THE MAIN ANSWER SHEET.............
MAKE SURE THAT YOU HAVE ANSWERED ALL THE QUESTIONS AND STUCK THE HOLOCRAFT STICKERS/ BARCODE STICKERS CORRECTLY. DO NOT BE IN A HURRY TO HANDOVER YOUR ANSWER-SHEET TO THE SUPERVISOR..............
WRITE NEATLY, AVOID CANCELLATION, UNDERLINE PROPERLY..ATTEMPT ALL THE ANSWER...........
REACH EXAMINATION HALL 45 MINUTES BEFORE...DON'T BE LATE KEEP IN MIND THAT "HASTE MAKE WASTE"....................
DURING EXAM KEEP WITH YOU 2 GOOD PENS, 2 PENCILS, 1 RUBBER, 1 SCALE, 1 SHARPNER, 1 POUCH, HALL TICKET, WATCH, 100 RS (FOR ANY URGENT NEED) 1 CHOCOLATE (FOR FRESSNESS)........AND EXAM PAD.................(if allowed by the respective schools......... )
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ALL THE VERY BEST ....................TRY TO SCORE 90+ PERCENTAGES
IN BOARD EXAM........................

SSC SCIENCE OBJECTIVES

School of elements.
1.       Which scientist stated the “Law of Triad”? (Dobereiner)
2.       Who introduced the “Law of Octaves”? (Newlands)
3.       What was Mendeleev’s basis for the classification of elements? (atomic mass)
4.       The unknown element of Mendeleev’s periodic table, Eka – Aluminium was later named as  (gallium)
5.       How many elements are there in the 4th and 5th period of modern periodic table? (18)
6.       Halogens belongs to which group in Modern Periodic Table? (seventeenth)
7.       Which is the longest period in Modern Periodic table? (sixth)
8.       What is the valency of first group elements? (one)
9.       Transition elements belong to which block in modern periodic table? (d)
10.    Zero group elements exist in which physical state at ordinary temperature? (gaseous)
11.    Which element has electronic configuration 2,8,2?  (Mg)
12.    The electronic configuration of element ‘y’ is 2,7. What is its valency?(one)
13.    What happens to atomic size of elements on moving from left to right in a period?(decreases)
14.    What are normal elements? (s and p block elements)
15.    The element x belongs to group five. What is the number of valence electrons in x? (five)
16.    In which period the element ‘x’ belongs, if its electronic configuration is 2, 8, 1? (third)
17.    What is the valency of the element with atomic number 17? (one)
18.    Which block elements have last three shells incompletely filled? (f)
19.    Sulphur, carbon, iodine belongs to which block in Modern periodic table? (p)
20.    Which element has twice as many electrons in its second shell as its first shell? (carbon)
21.    A, B and C are the elements of Doberener’s triad. If the atomic mass of A is 40 and that of C is 137. What would be the atomic mass of B? (88.5)
22.    The element A belongs to which group it is atomic number if 23? (fifth group)
The Magic of Chemical Reactions
1.       What happens when silver chloride is exposed to sunlight?(silver metal is formed)
2.       What is the chemical formula of Plaster of Paris (POP)? (CaSO4. H2O)
3.       What happens during reduction reaction? (reactants gain hydrogen)
4.       What is called the addition of oxygen to a substance? (oxidation reaction)
5.       What is the odour of H2S gas? (rotten egg)
6.       What type of chemical reaction take place when magnesium wire is burnt in air? (combination reaction)
7.       What type of chemical reaction takes place when lime stone is heated? (decomposition reaction)
8.       How are food products containing fats and oils are packaged in order to prevent from spoilage? (nitrogen)
9.       When soap is scrubbed on a white cloth, where a yellow stain of curry is present, it changes into reddish brown. This is due to: (neutralization reaction)
10.    Silver ornaments become dark on prolonged exposure to air. This is due to the formation of layer of its. (sulphide)
The acid base chemistry
1.       The colour of universal indicator solution is: (greenish yellow)
2.       The substance which is bitter to taste is: (an alkali)
3.       A student measured the PH values of four solutions marked A, B, C and D found them to be 6, 12, 2 and 14 respectively. The solution which is likely to be strongly acidic is: (C)
4.       What is the pH value of neutral solution? (7)
5.       What colour change takes place when phenolphthalein is added to NaOH solution? (pink)
6.       What is the taste of acidic substances? (sour)
7.       Acids turn blue litmus into: (red)
8.       What is litmus paper? (natural indicator)
9.       What do all acids contain? (hydrogen)
10.    Give the chemical formula for baking soda. (NaHCO­3)
11.    What is the common name for sodium hydrogen carbonate? (Baking soda)
12.    Which salt is used to disinfect water? (bleaching power)
13.    A solution in test tube A has pH less than seven, which kind of solution it is? (acidic)
14.    Which colour does the methyl orange indicator give in basic solution?(yellow colour)
15.    Name the plant from which Litmus solution is extracted. (Lichen)
16.    Which salt is used to reduce acidity in stomach? (baking soda)
17.    Which salt is used in manufacturing paper? (sodium carbonate)
18.    Name the salt which makes hard water soft? (Na2CO3)
19.    Which salt is used in fire extinguisher? (NaHCO3)
20.    The carboxylic acid present in milk is: (Lactic acid)
21.    What is milk of magnesia? (magnesium hydroxide)
The electric spark
1.       When current is plotted against potential difference, a straight line plot is obtained, which of the following law is verified? (Ohm’s law)
2.       When the resistance of the conductor increases then the current will: (decrease)
3.       Keeping the potential difference constant the resistance of the circuit is made four times. How much does the current change? (becomes one fourth)
4.       If the resistance is to be increased then the number of resistances should be connected in: (series)
5.       What is the equivalent resistance of three resistances of 2 ohms, 3 ohms and 4 ohms are connected in series? (9 ohms)
6.       In series combination which remains constant? (current)
7.       You are given three equal resistances, in how many combinations can they be arranged? (four)
8.       Which instrument is used to measure electric current? (ammeter)
9.       Which instrument is used to measure potential difference? (voltmeter)
10.    Which physical quantity has the unit ohm? (resistance)
11.    Which combination is used to decrease resistance in the circuit? (Parallel)
12.    How would the three resistance of 3 ohms each be connected so as to produce an equivalent resistance of 1 ohm. (all in parallel)
13.    If we want to connect a large number of electric bulbs for decorating buildings which circuit is better? (series)
14.    Keeping the potential difference constant, the resistance of the circuit is doubled. By how much does the current change? (half)
15.    Which particles constitute the electric current in a metallic conductor? (electrons)
16.    What is the SI unit of electric charge? (coulomb)
17.    What is the SI unit of electric current? (Ampere)
18.    Who invented battery? (Alessandro Volta)
19.    Which metal has lowest resistivity? (silver)
20.    What is the commercial unit of electrical energy? (kilowatt – hour)
21.    By what other name is the unit Joules / Coulomb called? (volt)
22.    What is the SI unit of resistivity? (ohm – metre)
23.    Which of the following is a best conductor of electricity? (silver)
24.    Which is the allow of Cu and Ni? (constantan)
25.    Which material is used to make filament of an electric bulb? (tungsten)
26.    Which device work on the principle of heating effect of electric current. (fuse)
27.    Which substance has infinitely high resistance? (rubber)
28.    What is the resistivity of silver? (1.60 x 10 – 8  ohm m)
29.    How is electric power calculated? (electric power =  potential difference x current)

30.    What material is used in electric iron as a heating element? (nichrome)

FINAL ACCOUNT WITH ANSWER

From the following Trial Balance of Kamlesh and Maharajan and given adjustments, prepare a Trading Account, Profit and Loss account for the year ended 31st March, 2007 and a Balance Sheet as on that date.                                                 (20)
Dr.                        Trial Balance as on 31st March 2007                                    Cr.
Particulars
Amt. (`.)
Particulars
Amt. (`.)
Opening Stock
45,000
Capital A/c
Purchases
2,25,000
    Kamlesh
25,000
Plant and Machinery
75,000
    Mahajan
20,000
Carriage
16,800
Sales
4,50,000
Factory Rent
1,500
Discount Received
750
Insurance
1,050
Sundry Creditors
15,000
Sundry Debtors
60,000
Bad debts Reserve
200
Office Rent
3,000
Bills Payable
2,000
Printing & Stationery
600
Advertisement
15,000
Bills Receivable
3,000
Drawings:  Kamlesh
3,500
                 Mahajan
2,500
Salaries
18,000
Wages
20,000
Furniture
7,500
Royalty
1,000
Cash at Bank
14,500
5,12,950
5,12,950
The following adjustment are required:
(1)          Closing stock was valued at Cost price `. 35,000 and Market Price 40,000.
(2)          Plant– Machinery & Furniture are to be depreciated at 6% & 10% p.a respectively.
(3)          Maintain Reserve for Doubtful Debts @ 2 ½ % on Sundry Debtors.
(4)          Outstanding Expenses:  Factory Rent `. 300; Office Rent `. 600.
(5)          Interest on capital to be allowed at 6% p.a.
(6)          Prepaid insurance was `. 100.
Trading Account for the year ended 31-3-2007
Particulars
`.
`.
Particulars
`.
`.
To Opening Stock
To Purchases
To Carriage
To Factory Rent
Add: Outstanding
To Wages
To Royalty
To Gross Profit c/d



1,500
     300
45,000
2,25,000
16,800

1,800
20,000
1,000
1,75,400
By Sales


By Closing Stock
4,50,000


35,000
4,85,000
4,85,000


Profit and Loss A/c for the year ended 31-3-2007
Particulars
`.
`.
Particulars
`.
`.
To Insurance
Less: Prepaid
To Office Rent
Add: Outstanding
To Printing & Stationery
To Advertisement
To Salaries
To Bad Debts
Add: New Bad Debts

Add: New R.D.D.

Less: Old R.D.D.

To Depreciation
Plant & Machinery
Furniture
To Interest on Capital
Kamlesh
Mahajan
To Net Profit
Kamlesh
Mahajan
1,050
    100
3,000
    600



-
          -
-
   1,500
1,500
     200


4,500
    750

1,500
   1,200

64,375
64,375

950

3,600
600
15,000
18,000





1,300



5,250


2,700


1,28,750
By Gross Profit b/d
By Discount Received
1,75,400
750
1,76,150
1,76,150
Balance Sheet as on 31-3-2007
Liabilities
`.
`.
Assets
`.
`.
Capital
Kamlesh
Mahajan

Sundry Creditors
Bills Payable
Outstanding Expenses
Factory Rent
Office Rent

87,375
  83,075




300
    600


1,70,450

15,000
2,000


900
Plant & Machinery
Less: Depreciation
Sundry Debtors
Less: New R.D.D.
Bills Receivable
Furniture
Less: Depreciation
Cash at Bank
Closing Stock
Prepaid Insurance
75,000
   4,500
60,000
  1,500

7,500
   750

70,500

58,500
3,000

6,750
14,500
35,000
100
1,88,350
1,88,350
Partner’s Capital A/c
Particulars
Kamlesh
Mahajan
Particulars
Kamlesh
Mahajan
To Drawings

To Balance c/d
3,500

87,375
2,500

83,075
By Balance b/d
By Interest on Capital
By Net Profit b/d
25,000
1,500

64,375
20,000
1,200

64,375
90,875
85,575
90,875
85,575


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