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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.
| 1. |
One-third of a number is equal to 24, then find the value of `1(1)/(2)` times of the number |
| Answer» Correct Answer - 108 | |
| 2. |
Equal parts of a flag pole are painted with saffron, white, and green colours. If one-third of the portion painted green is 2 m long, then find the length of the pole |
| Answer» Correct Answer - 18 m | |
| 3. |
The solution of `(3x)/(4) + (x)/(4) le 4` is ____ |
| Answer» Correct Answer - `x le 4` | |
| 4. |
If `9.1 x + 3x + 1.9 x le 42`, the `x le` _______A. 1B. 3C. 5D. 4 |
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Answer» Correct Answer - B `9.1 x + 3x + 1.9x le 42` `14x le 42` `x le 3` Hence, the correct option is (b) |
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| 5. |
Two-third of a number exceeds one-third of the number by 10. Find the numberA. 10B. 20C. 30D. 40 |
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Answer» Correct Answer - c Let the equantity be x `(2)/(3)x - (1)/(3) x = 10` `(x)/(3) = 10` `x = 30` Hence, the correct option is (c) |
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| 6. |
Two-third of a certain number exceeds one-third of the number by 10. Find the number. The following steps are involved in solving the above problem. Arange them in sequential order (A) `(2x)/(3) - (x)/(3) = 10` (given) (B) `(2x -x)/(3) = 10 rArr (x)/(3) = 10` (C) `rArr x = 30` (D) Let the number be xA. DACBB. BDACC. ADBCD. DABC |
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Answer» Correct Answer - D (D), (A), (B), and (C) is the required sequential order. Hence, the correct option is (d) |
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| 7. |
The unit digit of a two-digit number is 6. If 9 is added to the number, then the number obtained is `5//4th` of the number itself. Find the sum of the digitsA. 7B. 8C. 9D. 10 |
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Answer» Correct Answer - c Let the tens digit be x Given, units digit be 6 `:. (10x + 6) + 9 = (5)/(4) (10x +6)` `rArr 10x + 15 = (5)/(4) (10 x+6)` `rArr 2x + 3 = (1)/(2) (5x + 3)` `rArr 4x + 6 = 5x +3` `rArr x = 3` `:.` The sum of the digits `= 6 + 3 = 9` Hence, the correct option is (c) |
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| 8. |
Solve : `(14y)/(3) + (3)/(2) le (20y)/(3) - (83)/(4)`, where `y in Z` |
| Answer» Correct Answer - Any integer `ge 12` | |
| 9. |
Rs x is divided among Mr Bilhari, Mr Narahari, and Mr Murahari. The share of Bilhari is one-fourth of the total money, the share of Murahari is one-third of the remaining money and the share of Narahari is Rs 1200. Find x |
| Answer» Correct Answer - 2400 | |
| 10. |
If seven times a number is added to one-fifth of itself, then five-sixth of the sum is equal to 30. Find the numberA. 5B. 6C. 15D. 10 |
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Answer» Correct Answer - a Let the number be x According to the problem `(5)/(6) (7x + (x)/(5)) = 30` `rArr (5)/(6) ((35 + x)(5)) = 30` `rArr 6x = 30` `x = 5` Hence, the correct option is (a) |
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| 11. |
Solve for `x : (x)/(5) + (x)/(7) = 12`A. 70B. 140C. 35D. 105 |
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Answer» Correct Answer - c Given `(x)/(5) + (x)/(7) = 12` `rArr (7x + 5x)/(35) = 12` `rArr 12x = 12 xx 35` `rArr x = (12 xx 35)/(12) = 35` Hence, the correct option is (c) |
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| 12. |
In a two-digit number, the sum of the digits is 9. If 9 is subtracted from the number, then the digits get reversed. Find the product of the digits |
| Answer» Correct Answer - 20 | |
| 13. |
If one-fouth, half, and one-third of a number are added to the number itself, then the result is equal to 25. Find the numberA. 10B. 11C. 12D. 14 |
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Answer» Correct Answer - c Let the number be x `(x)/(4) + (x)/(2) + (x)/(3) + x = 25` `(3x +6x + 4x)/(12) + x = 25` `(13 x + 12x)/(12) = 25` `(25x)/(12) = 25` `x = 12` Hence, the correct option is (c) |
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| 14. |
A boy has given `7//12` of his marbles to his friend and is left with only 20 marbles. Find how many marbles he had with him initially |
| Answer» Correct Answer - 48 | |
| 15. |
One-fouth of a certain number exceeds its one-seventh by 3. find the number |
| Answer» Correct Answer - 28 | |
| 16. |
A number is multiplied by 5 and 25 is subtracted from the product. The result is equal to four times the number itself. Find the number |
| Answer» Correct Answer - 25 | |
| 17. |
Solve for `y: 3(y -4) -5 (y + 5) = -21`A. `-4`B. `-7`C. `-3`D. `-8` |
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Answer» Correct Answer - d Given `3(y -4) -5 (y +5) = -21` `rArr 3y - 12 - 5y - 25 = -21` `rArr -2y = 16` `rArr y = (-16)/(2) = -8` Hence, the correct option is (d) |
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| 18. |
Solve: `(18 - 2m)/(5) + (4m + 3)/(7) ge (m)/(5) + (8)/(7)` |
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Answer» `(18 -2m)/(5) + (4m + 3)/(7) ge (m)/(5) + (8)/(7)` `(18)/(5) - (2m)/(5) + (4m)/(7) + (3)/(7) ge (m)/(5) + (8)/(7)` `(18)/(5) + (3)/(7) - (8)/(7) ge (m)/(5) + (2m)/(5) - (4m)/(7)` `(18)/(5) - (5)/(7) ge (7m + 14m - 20 m)/(35)` `(126 - 25)/(35) ge (m)/(35)` `(101)/(35) ge (m)/(35) rArr m le 101` |
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| 19. |
Two-third of a number is 32 less than three-fifth of the number. Find the numberA. 360B. `-480`C. `-360`D. 480 |
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Answer» Correct Answer - b Let the number be x `(2x)/(3) = (3x)/(5) - 32` `(2x)/(3) - (3x)/(5) = -32` `(10 x - 9x)/(15) = -32` `x = -480` Hence, the correct option is (b) |
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| 20. |
In an isoceles triangle, the difference between one of the equal sides and the unequal side (longest of the three) is `3//10` of the sum of the equal sides. If the perimeter of the triangle is 90 cm, then find the length of unequal side in centimetresA. 40B. 80C. 25D. 50 |
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Answer» Correct Answer - a Let the equal side of the triangle be x cm Given perimeter of the triangle = 90 cm, then the unequal side `= 90 -2x`. Given that `(90 -2x) - x = (3)/(10) (2x)` `90 - 3x = (3x)/(5)` `90 = (3x)/(5) + 3x` `90 = (18x)/(5)` `:. X = 25 cm` `:.` Length of the unequal side `= 90 -2x = 90 -50 = 40 cm` Hence, the correct option is (a) |
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| 21. |
Solve for `z: (z)/(3) -7 ge z - 19`A. `z le 12`B. `zle 15`C. `z le 18`D. `z le 21` |
| Answer» Correct Answer - C | |
| 22. |
There are three house-hold articles. The cost of the first article is two-fifth the cost of the third article and the cost of the third article is twice the cost of second article. If the total cost of the three articles is Rs 228, then find the cost of the first article (in Rs)A. 40B. 48C. 50D. 54 |
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Answer» Correct Answer - b Let the cost of the third article be Rs x. `:.` Cost of the first article is Rs `(2)/(5) x` Cost of the second article is `Rs (x)/(2)` Total cost of the three articles is Rs 228 i.e., `x + (2x)/(5) + (x)/(2) = 228` `(10x + 4x + 5x)/(10) = 228` `19x = 2280` `x = 120` `:.` Cost of the first article `= (2)/(5) xx 120` `= 2 xx 24 = Rs 48` Hence, the correct option is (b) |
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| 23. |
If `3x + 20 = 65`, then find the value of x |
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Answer» step:1 Group the known quantities as the RHS of the equation, i.e., `3x = 65 - 20` Step2: Simplify the numbers on the RHS. `rArr 3x = 45` Step 3: Since 3 is the coefficient of x, divided both sides of the equation by 3. `(3x)/(3) = (45)/(3) rArr x = 15` |
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| 24. |
Solve for `y : (4y)/(3) -5 lt 10`A. `y lt 27//24`B. `t lt 33//4`C. `y lt 45//4`D. `y lt 59//4` |
| Answer» Correct Answer - C | |
| 25. |
Solve for `z: (2z)/(5) + 6 = z -3`A. 12B. 15C. 11D. 10 |
| Answer» Correct Answer - B | |
| 26. |
If `8.3 x - 9.8 = x + 26.7`, then x = _____A. 2B. 3C. 4D. 5 |
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Answer» Correct Answer - D `8.3 x - 9.8 = x + 26.7` `8.3 x - x = 9.8 + 26.7` `7.3x = 36.5` `x = (36.5)/(7.3)` `x = 5` Hence, the correct option is (d) |
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| 27. |
If `x + 3frac{1}{2} = 5`, then x = ________ |
| Answer» Correct Answer - `1(1)/(2)` | |
| 28. |
If `5x - 8 = 3x + 22`, then find the value of x |
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Answer» Step 1: `5x - 3x = 22 + 8` Step 2: `2x = 30` Step 3: `(2x)/(2) = (30)/(2) rArr x = 15` |
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| 29. |
If `3(a -2) -2 (a + 9) =1`, then a = ______A. 20B. 22C. 25D. 27 |
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Answer» Correct Answer - C `3(a -2) - 2 (a + 9) = 1` `3a - 6 - 2a - 18 = 1` `a - 24 = 1` `a = 25` Hence, the correct option is (c) |
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| 30. |
If `2(p -5) = (p)/(2) +5`, then p = _______A. 8B. 9C. 10D. 11 |
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Answer» Correct Answer - C `2(p -5) = (p)/(2) + 5` `2p - 10 = (p)/(2) + 5` `2p - (p)/(2) = 5 + 10` `(3p)/(2) = 15` `p = 15 xx (2)/(3)` `p = 10` Hence, the correct option is (c) |
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| 31. |
Solve for `a : 3a - 4 = -16`A. `-3`B. `-4`C. `-5`D. `4` |
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Answer» Correct Answer - B Given, `3a - 4 = -16` `rArr 3a = - 16 + 4 rArr 3a = -12` `rArr a = (-12)/(3) = -4` `:. A = -4` Hence, the correct option is (b) |
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| 32. |
Solve for `b : (b)/(5) -5 = 7`A. 30B. 60C. 90D. 120 |
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Answer» Correct Answer - B Given `(b)/(5) - 5 = 7 rArr 7 + 5` `rArr (b)/(5) = 12` `rArr b = 12 xx 5 = 60` Hence, the correct option is (b) |
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| 33. |
Solve for `k : 1.5 k -3.7 = 0.8`A. 7B. 6C. 5D. 3 |
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Answer» Correct Answer - D Given `1.5 k - 3.7 = 0.8` `rArr 1.5 k = 4.5` `rArr k = (4.5)/(1.5) = 3` Hence, the correct optio is (d) |
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| 34. |
Solve for `x : 5x -6 = 8x -4`A. `-1//3`B. `-2//3`C. `1//3`D. `2//3` |
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Answer» Correct Answer - B Given, `5x - 6 = 8x - 4` `rArr 5x - 8x = -4 + 6` `rArr -3x = 2 rARr x = -2//3` Hence, the correct option is (b) |
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| 35. |
Solve for `x : 2x + 3 = 9`A. 4B. 3C. 2D. 1 |
| Answer» Correct Answer - B | |
| 36. |
The root of the equation `0.8x + 9 = 17` is ______ |
| Answer» Correct Answer - 10 | |
| 37. |
Solve for `y: (y)/(3) -7 = -4`A. 15B. 12C. 6D. 9 |
| Answer» Correct Answer - D | |
| 38. |
Solve, `(x)/(3) + (x)/(6) + (x)/(9) = 11` |
| Answer» Correct Answer - 18 | |
| 39. |
If the number of variables present in the equation is ____, then it is called a simple equation |
| Answer» Correct Answer - One | |
| 40. |
If `x = 5`, then `(x)/(2) + (1)/(2) =` ______ |
| Answer» Correct Answer - 3 | |
| 41. |
The root of the equation `(3)/(4) x + 5 = 8` is ____A. 5B. 4C. 2D. 1 |
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Answer» Correct Answer - B `(3)/(4) x + 5 = 8` `(3)/(4) x = 3` `x = 4` Hence, the correct option is (b) |
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| 42. |
If `(0.2)/(x) + 0.1 ge 2.1`, then `x le` ______A. 1B. `0.1`C. 2D. `0.2` |
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Answer» Correct Answer - B `(0.2)/(x) + 0.1 ge 2.1` `(0.2)/(x) ge 2.1 - 0.1` `(0.2)/(x) ge 2` `(x)/(0.2) le (1)/(2)` `x le 0.1` Hence, the correct option is (b) |
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| 43. |
If `(x)/(12) + (1)/(2) = x -5`, then x = _____A. 2B. 4C. 8D. 6 |
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Answer» Correct Answer - D `(x)/(12) + (1)/(2) = x - 5` `(x + 6)/(12) = x - 5` `x + 6 = 12 x - 60` `66 = 11x` `x = 6` Hence, the correct option is (d) |
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| 44. |
If `x = 10, " then " 0.2 x + 0.2 =` _____A. `12.2`B. `10.2`C. `2.2`D. 22 |
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Answer» Correct Answer - C `0.2 x + 0.2` Given `x = 10` `= 0.2 xx 10 + 0.2` `= 2 + 0.2` `= 2.2` Hence, the correct option is (c) |
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| 45. |
Which of the following is the solution of the equation `5p - 10 = 5` ?A. `p = 5`B. `p = 4`C. `p =2`D. `p=3` |
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Answer» Correct Answer - D `5p - 10 = 5` `5p = 15` `p = 3` Hence, the correct option is (d) |
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| 46. |
If `1.7y + 2.3 y = 2`, then y = ______A. `1//4`B. `1//2`C. 8D. 6 |
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Answer» Correct Answer - B `1.7y + 2.3 y = 2` `4y = 2` `y = (1)/(2)` Hence, the correct option is (b) |
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| 47. |
If `5 ((x)/(6) + (1)/(2)) = 5x - 10`, then x = ____A. 3B. `1//3`C. 6D. `1//6` |
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Answer» Correct Answer - A Given, `5((x)/(6) + (1)/(2)) = 5x - 10` `(5x)/(6) + (5)/(2) = 5x - 10` `(5x + 15)/(6) = 5x - 10` `5x + 15 = 30x - 60` `75 = 25x` `x = 3` Hence, the correct option is (a) |
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| 48. |
If `(x)/(2) + (x)/(3) =5`, then x = ____A. 2B. 3C. 4D. 6 |
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Answer» Correct Answer - D `(x)/(2) + (x)/(3) = 5` `(3x + 2x)/(6) = 5` `(5x)/(6) = 5` `x = 6` Hence, the correct option is (d) |
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| 49. |
If `(0.3 (3x -4))/(5) + (0.4 x + 3.6)/(5) = 3.5x` then x = ____A. `0.1`B. `0.3`C. `0.5`D. `0.2` |
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Answer» Correct Answer - C `(0.3(3x-4))/(5) + (0.4 x+ 3.6)/(2) = 3.5x` `(0.9x - 1.5)/(5) + (0.4x + 3.6)/(2) = 3.5x` `(1.8x - 2.4 + 2.0x + 18)/(10) = 3.5x` `3.8 x + 15.6 = 35x` `15.6 = 31.2x` `x = (15.6)/(31.2)` `x = (1)/(2)` ltbr. `:. x = 0.5` Hence, the correct option is (c) |
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| 50. |
If `5m + 18 = 8`, then m = _____ |
| Answer» Correct Answer - `-2` | |