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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. |
A solution of 30 litres of milk and water, has ` 70%` milk. How many litres of water must be added so that the volumes of milk and water will be in the ratio ` 3 : 2`?A. 6B. 3C. 5D. 4 |
| Answer» Correct Answer - C | |
| 52. |
If ` 7 3/4 : 11 2/3 = 93 : ( 2x + 10)`, then what is the value of x ? |
| Answer» Correct Answer - 65 | |
| 53. |
Express 81 : 93 in its simplest form. |
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Answer» The HCF of 81 and 93 is 3. We divide each term by 3. Then, ` 81 : 93 = 81/3 : 93/3 = 27 : 31` `:. ` The ratio 81 : 93 in its simplest form is 27 : 31. |
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| 54. |
What number must be subtracted from each of the numbers 32, 38, 17 and 20, so that the terms formed will be in proportion ? |
| Answer» Correct Answer - 2 | |
| 55. |
Express the ratio 51:525 in the lowest terms. |
| Answer» Correct Answer - `200:21` | |
| 56. |
Express the ratio ` 1. 5` litres : 250 ml in the lowest terms. |
| Answer» Correct Answer - ` 6 : 1` | |
| 57. |
Express the ratio ` 3/5 : 7/9` in the lowest terms. |
| Answer» Correct Answer - ` 27 : 35` | |
| 58. |
Express the ratio `(4)/(5):(8)/(7)` in the lowest terms |
| Answer» Correct Answer - `7:10` | |
| 59. |
if x:5=9:5, then what is the value of x? |
| Answer» Correct Answer - 9 | |
| 60. |
If `(x)/(2a-3b)=(y)/(3b-4c)=(z)/(4c-2a)`, then find the value of `x^(3)+y^(3)+z^(3)`. |
| Answer» Correct Answer - 3xyz | |
| 61. |
If `(a)/(b)=(c)/(d)=(e)/(f)=(3)/(4)`, then what is the value of `(3a-4c-e)/(3b-4d-f)`? |
| Answer» Correct Answer - `(3)/(4)` | |
| 62. |
If ` a : b =2 : 3 ," then find "(3a - b) : ( 2a+ 3b)`. |
| Answer» Correct Answer - ` 3 : 13` | |
| 63. |
If A=3B=5C, then A:B:C=_______. |
| Answer» Correct Answer - `15:5:3` | |
| 64. |
If ` a/b = c/d = e/f = 2/5`, then ` (3a+4c+9e)/(3b+4d+9f) = ` _________ . |
| Answer» Correct Answer - ` 2/5` | |
| 65. |
If ` a : b = 4 : 5 ," find "(5a-b)/(10a+3b)`. |
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Answer» Given, ` a/b = 4/5` ` rArr a = (4b)/5` `(5a-b)/((10a+3b))=(5((4b)/5) - b)/(10((4b)/5)+3b)=(3b)/(11b) = 3/11`. |
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| 66. |
The outer angles of triangle are in the ratio 5 : 6 : 7. What are the angles ? |
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Answer» Sum of outer angle = 360° Let the angles be 5x , 6x , 7x 5x + 6x + 7x = 360° 18x = 360° x = 20° Angles are = 5x = 5 x 20 = 100° 6x = 6 × 20 = 1200 7x = 7 × 20 = 140° |
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| 67. |
In a regular polygon, the ratio of the inner and outer angle is 7 : 2. What is each angle? How many sides does the polygon |
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Answer» Let the inner angle be 7x and the outer angle 2x . Inner angle + outer angle = 180° 7x + 2x = 180° 9x = 180° x = 180 ÷ 9 = 20° Inner angle = 7x = 7 × 20 = 140° Outer angle = 2x = 2 × 20 = 40° Sum of the outer angles of a polygon of n sides is 360°. Since it is a regular polygon, the outer angles are equal, n × 40 = 360° n = \(\frac{360}{40}\) = 9 Number of sides of the polygon = 9 |
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| 68. |
If ` x /(y+z) = y/(z + x) = z /(x + y)` , then find the value of each fraction. |
| Answer» Correct Answer - ` -1` | |
| 69. |
The LCM of two coprime numbers is 1,302. If oneof the numbers is 42, what is the other number? in detail |
| Answer» Correct Answer - Rs. 200 | |
| 70. |
Discount is calculated on ……………A) C.PB) LossC) S.PD) Marked price |
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Answer» Correct option is D) Marked price D) Marked Price |
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| 71. |
Anji sold a land for ₹3,00,000 and gain 20% then how much did he purchase it?A) 2,75,000B) 2,25,000C) 2,00,000D) 2,50,000 |
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Answer» Correct option is D) 2,50,000 |
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| 72. |
S.P – C.P = ……………….?A) lossB) profitC) M.PD) None |
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Answer» Correct option is B) profit |
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| 73. |
Gain % = ……………..?(A) \(\frac{Profit}{S.P}\) x 100(B) \(\frac{Profit \times C.P.}{100}\)(C) \(\frac{Profit}{C.P}\) x 100(D) \(\frac{C.P.}{Profit}\) x 100 |
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Answer» Correct option is (C) \(\frac{Profit}{C.P.}\) x 100 |
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| 74. |
If C.P of 11 books is equal to S.P of 15 books then ………………?A) 33\(\frac13\) % – LossB) 33\(\frac13\) % – ProfitC) 30% – LossD) 25% – Loss |
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Answer» Correct option is B) 33\(\frac13\) % – Profit |
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| 75. |
The percentage of shaded portion is A) 40%B) 16% C) 30%D) 25% |
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Answer» Correct option is D) 25% |
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| 76. |
The incomes of A and B are in ratio ` 4 : 3`. The expenditures of A and B are in the ratio ` 5 :2` . If B saves Rs. 3000, then which of the following cannot be the sacvings of A ?A. Rs. 1500B. Rs.2500C. Rs.3500D. Rs. 4500 |
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Answer» Correct Answer - D `{:(," "A," "B),("Income"," "4x," "3x),("Expenditure"," "5y," "2y),("Savings",4x-5y,3x-2y):}` Given, ` 3x - 2y = 3000 rArr x = 1000 + (2y)/3` Now, saving of ` A = 4x - 5y = 4(1000+(2y)/3)` ` -5y rArr 4000+(8y)/3 - 5y rArr 4000 - (7y)/3`. `:.` The saving of A cannot be more than Rs. 4000. ` :.` Hence, the correct answer is option (d). |
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| 77. |
Last year the price of a commodity was ₹ 80; this year the price goes up by ₹? 20. Find percentage increase.A) 20%B) 25%C) 100%D) 80% |
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Answer» Correct option is B) 25% |
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| 78. |
At what rate a sum triples itself in 8 years 4 months?A) 30%B) 18%C) 12%D) 24% |
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Answer» Correct option is D) 24% |
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| 79. |
If P = ₹ 3000, R = 9% T = 2\(\frac12\)(1/2)y, then I = .....?A) ₹575B) ₹685C) ₹655D) ₹675 |
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Answer» Correct option is D) ₹675 |
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| 80. |
If T = 4 years, P = ₹6500, A = ₹8840, then Rate of interest (R) = …………..%A) 9%B) 9.5%C) 8%D) 9.1% |
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Answer» Correct option is A) 9% |
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| 81. |
28% of a number is 168. Then 82% of it isA) 438B) 492C) 600D) 392 |
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Answer» Correct option is B) 492 |
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| 82. |
If A = ₹ 15624, P = ₹12,600, R = 9% T = ……………?A) 2\(\frac13\)YB) 3\(\frac23\) YC) 3\(\frac12\)YD) 3\(\frac23\)Y |
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Answer» Correct option is B) 2\(\frac23\)Y |
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| 83. |
The length and breadth of a rectangle are in the ratio 8 : 5. The length is 9 centimetres more than the breadth. What are the length and breadth of the rectangle? |
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Answer» Let the length of the rectangle = 8x and breadth = 5x Their difference = 8x – 5x = 3x This is given as 9 m, 8x – 5x = 9 3x = 9, x = 9 ÷ 3 = 3 ∴ Length of the rectangle = 8 × 3 = 24 cm Breadth of the rectangle = 5 × 3 = 15 cm |
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| 84. |
Area of a rectangle is 2400 sq.cm. If length and breadth are in the ratio 8 : 3, find length and breadth? If length and breadth are increased by 20 cm, then find the ratio between length and breadth |
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Answer» Length = 8x Breadth = 3x \(8x\times3x=2400,\) \(24x^2=2400\) \(x^2=\frac{2400}{24}=100;\) \(x^2=\sqrt{100}=10\) length = 8 × 10 = 80, Breadth = 3 × 10 = 30 When length and breadth are increased by 20, then length = 100; Breadth = 50 length : breadth = 2 : 1 |
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| 85. |
The length, breadth and height of a rectangle block are in the ratio 3 : 2 : 5 and its volume is 3750 cubic centimetres. Calculate the length, breadth and height. |
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Answer» Let breadth be 3x , length be 2x and height be 5x , then 3x × 2x × 5x = 3750 30 × 3 = 37 x = 5 Breadth = 3x = 3 × 5 = 15 cm Length = 2x = 2 × 5 = 10 cm Height = 5x = 5 × 5 = 25 cm |
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| 86. |
The area of a rectangle is 600. If its length is 30, then the ratio of l: b is …………….A) 3 : 4B) 3 : 2C) 3 : 5D) 4 : 3 |
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Answer» Correct option is B) 3 : 2 |
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| 87. |
The breadth and length of two rectangles are in the ratio 2 : 3. In another rectangle, whose breadth is 1 cm less and length is 3 cm less than those of the first, this ratio is 3 : 4. Calculate the breadth and length of both rectangles. |
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Answer» Ratio between the breadth and length of the first rectangle = 2 : 3 Breadth of the first rectangle = 2x Length of the first rectangle = 3x Breadth of the second rectangle = 2x – 1 Length of the second rectangle = 3x – 3 Ratio between the breadth and length = 3 : 4 so, (2x – 1) : (3x – 3) = 3 : 4 3 (3x – 3) = 4 (2x – 1) 9x – 9 = 8x – 4 9x – 8x = -4 + 9 x = 5 Breadth of the first rectangle = 2x = 2 × 5 = 10 cm Length of the first rectangle = 3x = 3 × 5 = 15 cm Breadth of the second rectangle = 2x – 1 = 10 – 1 = 9 cm Length of the second rectangle = 3x – 3 = 15 – 3 = 12 cm |
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| 88. |
The capacities of three water tanks are in the ratio 2 : 3 : 5. The smallest of them can hold 2500 litres. How many litres can the other two hold ? |
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Answer» Ratio of the capacities = 2 : 3 : 5 Let the capacities be 2x , 3x , 5x Quantity of water in smaller tank = 2x = 2500 x = 1250 litres Capacity of second tank = 3x = 3 × 1250 = 3750 litres Capacity of third tank = 5x = 5 × 1250 = 6250 litres |
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| 89. |
Johny invested 50000 rupees, Jaleel 40000 rupees and Jayan 20000 rupees to start a business together. They got 3300 rupees as profit in a month, which they divided in the ratio of their investments. How much did each get ? |
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Answer» Ratio of the investment = 50000 : 40000 : 20000 = 5 : 4 : 2 Profit of one month = 3300 rupees Amount of johny got = 3300 x \(\frac{5}{11}\) = 1500 rupees Amount of jaleel got = 3300 x \(\frac{4}{11}\) = 1200 rupees Amount of Jayan got = 3300 x \(\frac{2}{11}\) = 600 rupess. |
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| 90. |
The cost of a precious stone varies as the cube of its weight. The stone broke into 3 pieces whose weights are in the ratio ` 1 : 2 : 3`. As a result its cost reduces . If the cost of the unbroken stone is Rs. 96, 336, then find the loss incurred due to breakage.A. ` Rs. 80,280`B. ` Rs. 16,056`C. ` Rs. 40,140`D. ` Rs. 8028` |
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Answer» Correct Answer - A (i) Let the weights of the three pieces be x, 2x and 3x and their costs be `C_(1), C_(2) and C_(3)` respectively . (ii) `C_(1)/x^(3) = C_(2)/(2x)^(3) = C_(3)/(3x)^(3) = (96, 336)/(6x)^(3)`. (iii) Find `C_(1),C_(2) and C_(3)` and then `96,336 - (C_(1)+C_(2)+C_(3))`. |
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| 91. |
Ram wanted to distribute a cartain amount between his two children Lava and Kusha in the ratio ` 5 : 7` But it was found that due to incorrect calculacions Lava got one-sixth of the total amount more than what he should get. Find the share of Kucha, in rupees, if Lava got Rs. 560 in all.A. 300B. 350C. 400D. 450 |
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Answer» Correct Answer - C (i) Frame the linear equation and solve it . (ii) Let the actual shares of Lava and Kusha be Rs.5x and Rs. 7x respectively. (iii) As the amount is `(5x+7x)`, one sixth of total amount = 2x. (iv) the amount is divided in the ratio `(5x+2x) : (7x-2x)`. |
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