CBSE Class 8 Mathematics Linear Equations In One Variable Worksheet Set 03

Question. 50% of 25% of a number p is equal to
(a) half of p
(b) one-fourth of p
(c) one-eighth of p
(d) three-fourth of p

Answer : C

Question. What should be added to the product of x and 2 to get x?
(a) -x
(b) x²+ x
(c) 2x
(d) x - x²

Answer : A

Question. How many consecutive odd numbers starting from 1, have to be added to get 64?
(a) five
(b) six
(c) seven
(d) eight

Answer : D

Question. If x + 5 is a number that is completely divisible by 13, which of those numbers will be completely divisible by 26?
(a) x + 26
(b) 2x + 36
(c) 2x + 5
(d) 2x + 13

Answer : B

Question. If p / 2 = 4 and 2 - q = 4, what is the value of 2p + q?
(a) 12
(b) 14
(c) 18
(d) 22

Answer : B

Question. Urmil looked at his watch and said, The number of hours that are left today is exactly one-seventh of the number of hours that have already passed.What time was Urmil's watch showing?"
(a) 7:00 AM
(b) 6:30 PM
(c) 7:00 PM
(d) 9:00 PM

Answer : D

Question. There is a certain relation between the corresponding members of X and Y in the following figure.Which of the following equations describes the relation correctly?

(a) x = y + 1
(b) y = 2x -1
(c) x = 2y -1
(d) y =2x²-1

Answer : D

Question. For which of these values of x and y is 2x - 3y = 3x - 2y?
(a) x = 1, y = -1
(b) x = 2, y = 0
(c) x = 0, y = 1
(d) x = 1, y = 1

Answer : A

Question. If the relationship between z and y is that z = 3 + y, then what number should appear in cell C₂?
Study the paragraph and spreadsheet given below to answer the question.
While working on a spreadsheet, Praveen gives the heading ^x^ to column A and enters some values under it. In the corresponding cells of column B, he enters a formula and gets these values:

(a) 5
(b) 2
(c) -2
(d) -4

Answer : B

Question. Ratnam hired a car from a car renting agency which charges a flat amount of Rs x for travelling up to 40 kilometres and Rs. y per km for every kilometre travelled thereafter. How much should Ratnam pay the agency for a journey of 50 kilometres?
(a) Rs (x + 10y)
(b) Rs 50(x + y)
(c) Rs (40 x + y)
(d) Rs 50xy

Answer : A

Question. The weight of a bottle of jam when it is FULL and when it is HALF full is shown below.What is the weight of the empty bottle?

(a) 1/2 kg
(b) 350 g
(c) 300 g
(d) 250 g

Answer : C

Question. A train runs once a week from Delhi to Mumbai and back. It started from Delhi at 9 PM on 16th May, and returned after completing the to and fro journey in a total of 52 hours. What was the date and time when the train returned to Delhi after its journey?
(a) 18thMay, 1 PM
(b) 18th May, 1 AM
(c) 19th May, 9 PM
(d) 19th May, 1 AM

Answer : D

Question. In the simplified form of which of these expressions will there be no xy term?
(a) (3x-4y)²
(b) (3x) (4y)
(c) 3x + 4y (3x - 4y)
(d) (3x - 4y) (4y + 3x)

Answer : D

Question. Which of the following will have 20 diagonals if the number of diagonals of an 'n' sided polygon is n (n - 3) ⁄2?

Answer : D

Question. In the above figure, which of these will NOT equal 180°?

(a)  A + ∠B + ∠C
(b) ∠F + ∠ G
(c) ∠ A + ∠ B + ∠ D + ∠ F
(d) ∠ A + ∠ B + ∠ E

Answer : D

Question. If x - 5/2 - x -3/5 = 1/2, what is the value of 'X '.?
(A) 7
(B) 9
(C) 8
(D) 5
Answer : C

Question. In an examination, a student was asked to find 3^th/14 of a certain number. By 3 mistake, he found 4 of it. His answer was 150 more than the correct answer. What was the number given to him?
(A) 290
(B) 280
(C) 240
(D) 180
Answer : B

Question. 351 is divided in the ratio 2 : 7. Find the product of the two numbers.
(A) 20294
(B) 21294
(C) 25295
(D) 31294
Answer : B

Question. A boat goes downstream and covers the distance between two ports in 4 hours while it covers the same distance upstream in 5 hours. If the speed of the stream is 2 kmph, what is the speed of the boat in still water?
(A) 15 kmph
(B) 20 kmph
(C) 24 kmph
(D) 18 kmph
Answer : D

Question. 2^rd/3 of a number when multiplied by 3^th/4 of the same number gives 338. What is  the number?
(A) 18
(B) 24
(C) 36
(D) 26
Answer : D

Question. If 3(1/x) x 3(3/4) = 12 (1/2), what is the value of'x'?
(A) 1
(B) 1/3
(C) 2
(D) 3
Answer : D

Question. Four students Preeti, Qadir, Ravi and Sonam solved the equation p-3/p+4 = p+1/p-2 The1r answers are - 1/5. 1/5. 2/5 and - 2/5 respectively. Whose answer is correct ?
(A) Ravi
(B) Qadir
(C) Sonam
(D) Preeti
Answer : B

Question. If the sum of three consecutive even numbers is 234, which is smallest among them?
(A) 76
(B) 78
(C) 80
(D) 68
Answer : A

Question. Which of the following values satisfies 2x + 1/3x - 1 = 3/2 ?
(A) X = 1
(B) X = -1
(C) X= 2
(D) X= -3
Answer : A

Question. The prices of a scooter and cyc le are in the ratio 9 : 5. If the scooter costs ₹ 4,200 more than a cycle, what is the price of the cycle ?
(A) ₹ 5250
(B) ₹ 5200
(C) ₹ 5000
(D) ₹ 4800
Answer : A

Question. If 3 of a number is 20 less than the original number, what is the original number?
(A) 60
(B) 40
(C) 80
(D) 120
Answer : A

Question. When 'p' is subtracted from 10 and the difference is divided by 2, the result is 3.
What is the value of 'p'?
(A) 4
(B) 3
(C) -4
(D) 6
Answer : A

Question. If the angles of a triangle are in the ratio 2 : 3 : 4, what is the difference between the greatest and the smallest angles?
(A) 1 o·
(B) 20"
(C) 30"
(D) 40"
Answer : D

Question. Solve : 1.32y + 0.02y = 1.19 + y
(A) -(7/2)
(B) 3(1/2)
(C) 7/3
(D) -3(1/4)
Answer : B

Question. If 10 is added to four times a certain number the result is 5 less than five times the number. What is the number ?
(A) 10
(B) 15
(C) 20
(D) 25
Answer : B

Question. A student has to secure 40% marks to pass. He got 30 marks and failed by 50 marks. What is the maximum number of marks?
(A) 160
(B) 180
(C) 200
(D) 320
Answer : C

Question. By selling a bicycle for { 1885, a man gains 16%. At what price did he buy the bicycle?
(A) ₹ 1625
(C) ₹ 2000
(B) ₹ 1825
(D) ₹ 1450
Answer : A

If x + = 19 find x2 +

II If a2 + b2 = 60 and ab = 2 find ( a + b)

III If a2 + b2 = 131 and ab = 5 find ( a – b )

IV If m + n = 16 and mn = 7 find m2 + n2

V Solve the following equations :

(a) x – 8 = 29

(b) 2a + 15 = 55

(c) 7+ x = 18

5

(d) 5 (3a – 4 ) = 7( 6a + 3) – 11

(e) 7y / 8 = 35 /48

Please click the below link to access CBSE Class 8 Linear Equations in One Variable Worksheet (3)