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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
Find the first three common multiples of:12 and 18 |
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Answer» Multiple of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ……… Multiple of 18 = 18, 36, 54, 72, 90, 108, ……………………………… Common multiples of 12 and 18 = 36, 72, 108 |
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| 52. |
Write first five multiples of:8 |
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Answer» 8 x 1 = 8, 8 x 2 = 16, 8 x 3 = 24, 8 x 4 = 32, 8 x 5 =40 First five multiples of 8 are 8, 16, 24, 32, 40. |
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| 53. |
Write first five multiples of:5 |
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Answer» 5 x 1 = 5, 5 x 2 = 10, 5 x 3 = 15, 5 x 4 = 20, 5 x 5 =25 First five multiples of 5 are 5, 10, 15, 20, 25. |
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| 54. |
Find the first three common multiples of:6 and 8 |
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Answer» Multiple of 6 = 6, 12, 18, 24, 30, 36, 42, 28, 54, 60, 72, ………… Multiple of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, ……………………. Common multiples of 6 and 8 = 24, 48, 72 |
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| 55. |
Write first five multiples of:9 |
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Answer» 9 x 1 = 9, 9 x 2 = 18, 9 x 3 = ,27, 9 x 4 = 36, 9 x 5 =45 First five multiples of 9 are 9, 18, 27, 36, 45. |
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| 56. |
State which of the following are equations (with a variable). Given reason for your answer. Identify the variable from the equations with a variable.(a) 17 = x + 7(b) (t - 7 ) > 5(c)4/2 =2(d) (7 x 3 ) - 19 = 8(e) 5 x 4 - 8 = 2x(f) x - 2 = 0(g) 2 m < 30(h) 2 n + 1 = 11(i) 7 = 11 x 5(j) 7 = 11 x 2(k) 20 = 5 y(l)3q/2 24(n) 20 - 10 - 5(o) 7 - x = 5 |
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Answer» (a) It is an equation of variable as both the sides are equal. The variable is x. (b) It is not an equation as L.H.S. is greater than R.H.S. (c) It is an equation with no variable. But it is a false equation. (d) It is an equation with no variable. But it is a false equation. (e) It is an equation of variable as both the sides are equal. The variable is x. (f) ) It is an equation of variable x. (g) It is not an equation as L.H.S. is less than R.H.S. (h) It is an equation of variable as both the sides are equal. The variable is n. (i) It is an equation with no variable as its both sides are equal. (j) It is an equation of variable p. (k) It is an equation of variable y. (l) It is not an equation as L.H.S. is less than R.H.S. (m) It is not an equation as L.H.S. is greater than R.H.S. (n) It is an equation with no variable. (o) It is an equation of variable x. |
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| 57. |
List any four symmetrical from your home or school. |
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Answer» Notebook, Blackboard, Glass, Inkpot. |
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| 58. |
Match the items in column 1 with the items in column 2:Column 1Column 2(i) 35(a) Multiple of 8(ii) 15(b) Multiple of 7(iii) 16(c) Multiple of 70(iv) 140(d) Factor of 30(v) 10(e) Factor of 50 |
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Answer» (i) --> (b), (ii) --> (d), (iii) --> (a), (iv) ---> (c), (v) ---> (e). |
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| 59. |
Complete the table and by inspection of the table find the solution to the equation z/3=4z8910111213141516........z/32 2/333 1/3.................... |
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Answer»
∵ At z =12, z/3 = 4 ∴ z = 12 is the solution. |
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| 60. |
Complete the entries of the third column of the table:S.No.EquationValue of variableEquation satisfied Yes/No(a)10 y =80y=10(b)10y=80y-8(c)10y=80y=5(d)4l=20l=20(e)4l=20l = 80(f)4l = 20l = 5(g)b + 5 = 9b = 5(h)b + 5 = 9b = 9(i)b + 5 = 9b = 4(j)h - 8 = 5h = 13(k)h - 8 = 5h = 8(l)h - 8 = 5h = 0(m)p + 3 = 1p = 3(n)p + 3 = 1p = 1(o)p + 3 = 1p = 0(p)p + 3 = 1p = -1(q)p + 3 = 1p = -2 |
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| 61. |
Complete the table and by inspection of the table find the solution to the equationm+16= 16.m12345678910......m+10........................... |
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Answer»
∵ At m=6, m+10= 16 ∴ m = 6 is the solution |
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| 62. |
Write as fractions in lowest terms: 0.18 |
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Answer» = 0.18 = 18/100 = 9/50 |
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| 63. |
Write each of the following decimals in words:10.07 |
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Answer» Ten point zero seven |
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| 64. |
Write as fractions in lowest terms: 0.05 |
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Answer» = 0.05 = 5/100 = 1/20 |
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| 65. |
Which is greater: (a) 0.3 or 0.4 (b) 0.07 or 0.02 (c) 3 or 0.8 (d) 0.5 or 0.05 (e) 1.23 or 1.2 (f) 0.099 or 0.19 (g) 1.5 or 1.50 (h) 1.431 or 1.490 (i) 3.3 or 3.300 (j) 5.64 or 5.603 |
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Answer» Before comparing, we write both terms in like decimals: (a) 0.3 < 0.4 (b) 0.07 > 0.02 (c) 3.0 or 0.8 ⇒ 3.0 > 0.8 (d) 0.50 or 0.05 ⇒ 0.50 > 0.05 (e) 1.23 or 1.20 ⇒ 1.23 > 1.20 (f) 0.099 or 0.190 ⇒ 0.099 < 0.190 (g) 1.50 or 1.50 ⇒ 1.50 = 1.50 (h) 1.431 < 1.490 (i) 3.300 or 3.300 ⇒ 3.300 = 3.300 (j) 5.640 or 5.603 ⇒ 5.640 > 5.603 |
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| 66. |
Make five more examples and find the greater: (a) 1.8 or 1.82 (b) 1.0009 or 1.09 (c) 10.01 or 100.1 (d) 5.100 or 5.0100 (e) 04.213 or 0421.3 |
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Answer» Before comparing, we write both terms in like decimals (i) 1.80 or 1.82 ⇒ 1.82 is greater than 1.8 (ii) 1.0009 or 1.0900 ⇒ 1.09 is greater than 1.0009 (iii) 10.01 or 100.10 ⇒ 100.1 is greater than 10.01 (iv) 5.1000 or 5.0100 ⇒ 5.100 is greater than 5.0100 (v) 04.213 or 0421.300 ⇒ 0421.3 is greater than 04.213 |
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| 67. |
The bar graph given below shows the amount of wheat purchased by government during the year 1998 – 2002. Read the bar graph and write down your observations.(a) In which year was the wheat production maximum?(b) In which year was the wheat production minimum? |
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Answer» (a) In 2002, production of wheat was maximum. (b) In 1998, production of wheat was minimum. |
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| 68. |
Find three different irrational numbers between the rational numbers 5/7 and 9/11. |
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Answer» Let us convert 5/7 and 9/11 into decimal form, to get 5/7 = 0.714285... and 9/1 = 0.818181.... . Three irrational numbers that lie between 0.714285.... and 0.818181.... are: 0.73073007300073…. 0.74074007400074…. 0.76076007600076…. |
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| 69. |
Give expression in the following cases:(a) 11 added to 2 m.(b) 11 subtracted from 2 m.(c) 5 times y to which 3 is added.(d) 5 times y from which 3 is subtracted.(e) y is multiplied by -8.(f) y is multiplied by -8 and then 5 is added to the result.(g) y is multiplied by 5 and result is subtracted from 16.(h) y is multiplied by -5 and the result is added to 16. |
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Answer» (a) 2 m +11 (b) 2 m -11 (c) 5 y + 3 (d) 5 y - 3 (e) -8 y (f) - 8 y + 5 (g) 16 - 5 y (h) - 5 y -16 |
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| 70. |
Raju purchases 10 pens for Rs.150 and Manish buys 7 pens for Rs.84. Can you say who got the pen cheaper? |
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Answer» Raju purchase 10 pens for = Rs.150 Raju purchases 1 pen for = 150/10 = Rs.15/10 Manish purchases 7 pens for = Rs.84 Manish purchases 1 pen for = 84/7 = Rs.12 Thus, Manish got the pens cheaper |
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| 71. |
A truck requires 108 liters of diesel for covering a distance of 594 km. How much diesel will be required by the truck to cover a distance of 1650 km? |
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Answer» For covering 594 km, a truck will be required diesel = 108 liters For covering 1 km, a truck will be required diesel = 108/594 = 2/11 For covering 1650 km, a truck will be required diesel = 2/11 x 1650 = 300 liters Thus, 300 liters diesel will be required by the truck to cover a distance of 1650 km. |
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| 72. |
The lid of a rectangular box of sides 40 cm by 10 cm is sealed all round with tape. What is the length of the tape required? |
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Answer» Total length of tape required = Perimeter of rectangle = 2 ( length + breadth) = 2 ( 40 + 10) = 2 x 50 = 100 cm = 1 m Thus, the total length of tape required is 100 cm or 1 m. |
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| 73. |
– 35 × 107 is not same as(a) – 35 × (100 + 7) (b) (– 35) × 7 + ( – 35) × 100(c) – 35 × 7 + 100 (d) ( – 30 – 5) × 107 |
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Answer» -35 x 107 = -3,745 is not same as (c) -35 x 7 +100 = 145 Ans (c) |
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| 74. |
Add without using number line: (–380) + (–270) |
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Answer» (–380) + (–270) = –380 – 270 = –650 |
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| 75. |
Add without using number line: (–217) + (–100) |
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Answer» (–217) + (–100) = –217 - 100 = –317 |
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| 76. |
If the cost of 7 m of cloth is Rs.294, find the cost of 5 m of cloth |
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Answer» Cost of 7 m of cloth = Rs.294 Cost of 1 m of cloth = 294/7 = Rs.42 Cost of 5 m of cloth = 42 x 5 = Rs.210 Thus, the cost of 5 m of cloth is Rs.210. |
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| 77. |
Write each of the following as decimals:23+2/10+6/1000 |
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Answer» 23 + 0.2 + 0.006 = 23.206 |
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| 78. |
Tina had 20 m 5 cm long cloth. She cuts 4 m 50 cm length of cloth from this for making a curtain. How much cloth is left with her? |
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Answer» Total length of cloth = 20 m 5 cm = 20.05 m Length of cloth used = 4 m 50 cm = 4.50 m Remaining cloth = 20.05 m – 4.50 m = 15.55 m Thereofre, 15.55 m of cloth is left with Tina. |
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| 79. |
Which of the following statements are true (T) and which are false (F): (a) Zero is the smallest natural number. (b) 400 is the predecessor of 399. (c) Zero is the smallest whole number. (d) 600 is the successor of 599. (e) All natural numbers are whole numbers. (f) All whole numbers are natural numbers. (g) The predecessor of a two digit number is never a single digit number. (h) 1 is the smallest whole number. (i) The natural number 1 has no predecessor. (j) The whole number 1 has no predecessor. (k) The whole number 13 lies between 11 and 12. (l) The whole number 0 has no predecessor. (m) The successor of a two digit number is always a two digit number. |
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Answer» (a) False (b) False (c) True (d) True (e) True (f) False (g) False (h) False (i) True (j) False (k) False (l) True (m) False |
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| 80. |
Oranges are to be transferred from larger boxes into smaller boxes. When a large box is emptied, the oranges from it fill two smaller boxes and still 10 oranges remain outside. If the number of oranges in a small box are taken to be x, what is the number of oranges in the larger box? |
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Answer» Number of oranges in one box = x Number of boxes = 2 Therefore, total number of oranges in boxes = 2x Remaining oranges = 10 Thus, number of oranges = 2 x +10 |
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| 81. |
Write two integers which are smaller than –3, but their difference is greater than –3. |
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Answer» – 5 and – 4 are smaller than – 3 but their difference is (–4) – (–5) = 1 which is greater than – 3. or – 6 and –10 are smaller than – 3 but their difference is (–6) – (–10) = 4 which is greater than – 3. |
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| 82. |
If a is an integer other than 1 and –1, match the following:Column IColumn II(a) a ÷ (–1)(i) a(b) 1 ÷ (a)(ii) 1(c) (–a) ÷ (–a)(iii) Not an integer(d) a ÷ (+1)(iv) –a |
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Answer» (a) ↔ (iv) (b)↔ (iii) (c)↔ (ii) (d) ↔(i) |
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| 83. |
Fill in the blanks:(a) A number which has only two factors is called a _______________.(b) A number which has more than two factors is called a _______________.(c) 1 neither _______________ nor _______________.(d) The smallest prime number is _______________.(e) The smallest composite number is _______________.(f) The smallest even number is _______________. |
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Answer» (a) Prime number (b) Composite number (c) Prime number and composite number (d) 2 (e) 4 (f) 2 |
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| 84. |
Fill in the blanks: (a) 1 lakh = _______________ ten thousand (b) 1 million = _______________ hundred thousand (c) 1 crore = _______________ ten lakh (d) 1 crore = _______________ million (e) 1 million = _______________ lakh |
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Answer» (a) 10 (b) 10 (c) 10 (d) 10 (e) 10 |
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| 85. |
Rationalize the denominators of the following:1/(√7 - √6) |
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Answer» 1/(√7 - √6) We need to multiply the numerator and denominator of 1/(√7 - √6) by, √7 - √6, to get 1/(√7 - √6) x (√7 + √6) / (√7 + √6) = (√7 + √6) / (√7 - √6)(√7 + √6). We need to apply the formula (a - b)(a + b) = a2 - b2 in the denominator to get 1/(√7 - √6) = (√7 + √6) / ((√7)2 - (√6)2 = (√7 + √6) / 7 - 6 = √7 + √6 Therefore, we conclude that on rationalizing the denominator of 1/(√7 - √6),we get √7 + √6.
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| 86. |
Consider the following figure of line MN bar . Say whether following statements are true or false in the context of the given figure: (a) Q, M, O, N, P are points on the line MN bar. (b) M, O, N are points on a line segment MN bar . (c) M and N are end points of line segment MN bar. (d) O and N are end points of line segment OP bar . (e) M is one of the end points of line segment QO bar . (f) M is point on ray OP . (g) Ray OP is different from ray OP . (h) Ray OP same as ray OM. . (i) Ray OM. is not opposite to ray OP . (j) O is not an initial point of NP and NM. |
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Answer» (a) True (b) True (c) True (d) False (e) False (f) False (g) True (h) False (i) False (j) False (k) True |
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| 87. |
Classify the following curves as (i) Open or (ii) Closed. |
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Answer» (a) Open curve (b) Closed curve (c) Open curve (d) Closed curve (e) Closed curve |
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| 88. |
Consider the given figure and answer the questions: (a) Is it a curve? (b)Is it closed? |
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Answer» (a) Yes, it is a curve. (b) Yes, it is closed. |
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| 89. |
A machine, on an average, manufactures 2,825 screws a day. How many screws did it produce in the month of January 2006? |
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Answer» Number of screws manufactured in one day = 2,825 Number of days in the month of January (31 days) = 2,825 x 31 = 87,575 Therefore the machine produced 87,575 screws in the month of January. |
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| 90. |
What fraction of a day is 8 hours? |
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Answer» Since, 1 day = 24 hours. Therefore, the fraction of 8 hours = 8/24 = 1/3 |
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| 91. |
What fraction of an hour is 40 minutes? |
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Answer» Since, 1 hour = 60 minutes. Therefore, the fraction of 40 minutes = 40/60 = 2/3 |
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| 92. |
Find the ratio of the following:30 minutes to 45 minutes |
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Answer» Ratio of 30 minutes to 45 minutes = 30/45 = 2/3 = 2:3 |
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| 93. |
Identify the error, if any? |
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Answer» All the figures are not equally divided. For making fractions, it is necessary that figure is to be divided in equal parts. |
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| 94. |
Find the ratio of the following:30 minutes to 1 hours |
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Answer» 30 minutes to 1.5 hour 1.5 hours = 1.5 x 60 = 90 minutes [∵ 1 hour = 60 minutes] Now, ratio of 30 minutes to 1.5 hour = 30 minutes : 1.5 hour ⇒ 30 minutes : 90 minutes = 30/90 = 1/3 = 1 : 3 |
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| 95. |
Find the ratio of the following:40 cm to 1.5 m |
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Answer» 40 cm to 1.5 m 1.5 m = 1.5 x 100 cm = 150 cm [∵ 1 m = 100 cm] Now, ratio of 40 cm to 1.5 m = 40 cm : 1.5 m ⇒ 40 cm : 150 cm = 40/150 = 4/15 = 4 : 15 |
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| 96. |
Write the fraction representing the shaded portion: |
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Answer» (i) 2/4 (ii) 8/9 (iii) 4/8 (iv) 1/4 (v) 3/7 (vi) 3/12 (vii) 10/10 (viii) 4/9 (ix) 4/8 (x) 1/2 |
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| 97. |
Find:50 – (–40) – (–2) |
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Answer» 50 – (–40) – (–2) = 50 + 40 + 2 = 92 |
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| 98. |
Fill in the blanks: (a) (–8) + __________ = 0 (b) 13 + __________ = 0 (c) 12 + (–12) = __________ (d)(–4) + __________ = –12 (e) __________ – 15 = –10 |
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Answer» (a) (–8) + 8 = 0 (b) 13 + (–13) = 0 (c) 12 + (–12) = 0 (d) (–4) + (–8) = –12 (e) 5 – 15 = –10 |
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| 99. |
Find: (–7) – 8 – (–25) |
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Answer» (–7) – 8 – (–25) = –7 – 8 + 25 = –15 + 25 = 10 |
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| 100. |
Find:(–7) + (–8) + (–90) |
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Answer» (–7) + (–8) + (–90) = –7 – 8 – 90 = –105 |
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