MCQOPTIONS
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MCQOPTIONS
This section includes 657 Mcqs, each offering curated multiple-choice questions to sharpen your Testing Subject knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
HCF and LCM of Numbers and PolynomialsIf (x + k) is the HCF of ax2 + ax + b and x2 + cx + d, then what is the value of k? |
| A. | b + d /a + c |
| B. | None of these |
| C. | a + b / c + d |
| D. | a - b / c - d |
| Answer» E. | |
| 2. |
LogarithmWhat is the value of (1/3 log10 125 —2log10 4 + log1032 + log101 )? |
| A. | 0 |
| B. | 1/5 |
| C. | 1 |
| D. | 2/5 |
| Answer» D. 2/5 | |
| 3. |
A train takes 10 s to cross a pole and 20 s to cross a platform of length 200 m. What is the length of the train? |
| A. | 300 m |
| B. | 100 m |
| C. | 400 m |
| D. | 200 m |
| Answer» E. | |
| 4. |
2 men and 1 woman can complete a piece of work in 14 days, while 4 women and 2 men can do the same work in 8 days. If a man gets 90 per day, what should be the wages per day of a woman? |
| A. | 60 |
| B. | 135 |
| C. | 48 |
| D. | 72 |
| Answer» B. 135 | |
| 5. |
Consider the following statementsI. 7710312401 is divisible by 11.II. 173 is a prime number.Which of the statements given above is/are correct? |
| A. | Only I |
| B. | Neither I nor II |
| C. | Only II |
| D. | Both I and II |
| Answer» E. | |
| 6. |
Consider the following statementsI. The product of any three consecutive integers is divisible by 6.II. Any integer can be expressed in one of the three forms 3k, 3k + 1, 3k + 2, where k is an integer.Which of the above statements is/are correct? |
| A. | Only I |
| B. | Neither I nor II |
| C. | Only II |
| D. | Both I and II |
| Answer» E. | |
| 7. |
Every prime number of the form 3k + 1 can be represented in the form 6 m + 1 (where, k and m are integers), when |
| A. | k is odd |
| B. | No such form is possible |
| C. | k is even |
| D. | k can be both odd and even |
| Answer» D. k can be both odd and even | |
| 8. |
A and B can do a piece of work in 10 h. B and C can do it in 15 h, while A and C take 12 h to complete the work. B independently can complete the work in |
| A. | 12 h |
| B. | 24 h |
| C. | 16 h |
| D. | 20 h |
| Answer» C. 16 h | |
| 9. |
If b is the largest square divisor of c and a2 divides c, then which one of the following is correct (where, a, b and c are integers)? |
| A. | b divides a |
| B. | a and b are coprime |
| C. | a does not divide b |
| D. | a divides b |
| Answer» E. | |
| 10. |
If x varies as the mth power of y, y varies as the nth power of z and x varies as the pth power of z, then which one of the following is correct? |
| A. | p = m + n |
| B. | None of these |
| C. | p = m - n |
| D. | p = mn |
| Answer» E. | |
| 11. |
If f(x) and g(x) are two polynomials with integral coefficients which vanish at x = 1, then what is the 2 factor of HCF of f (x) and g(x)? |
| A. | x - 1 |
| B. | 2x + 1 |
| C. | x - 2 |
| D. | 2x - 1 |
| Answer» E. | |
| 12. |
If r and s are any real numbers such that 0 ≤ s ≤1 and r + s= 1, then what is the maximum value of the product? |
| A. | 1 |
| B. | 1/4 |
| C. | 3/4 |
| D. | 1/2 |
| Answer» C. 3/4 | |
| 13. |
A refrigerator and a camera were sold for rs 12000 each. The refrigerator was sold at a loss of 20% of the cost and the camera at a gain of 20% of the cost. The entire transaction results in which one of the following? |
| A. | No loss or gain |
| B. | Loss of 2000 |
| C. | Loss of rs 1000 |
| D. | Gain of 1000 |
| Answer» D. Gain of 1000 | |
| 14. |
20 workers working for 5 h per day complete a work in 10 days. If 25 workers are employed to work 10 h per day, what is the time required to complete the work? |
| A. | 5 days |
| B. | 8 days |
| C. | 4 days |
| D. | 6 days |
| Answer» D. 6 days | |
| 15. |
Two numbers are in the ratio 2 : 3. If 9 is added to each number, they will be in the ratio 3 : 4. What is the product of the two numbers? |
| A. | 360 |
| B. | 512 |
| C. | 480 |
| D. | 486 |
| Answer» E. | |
| 16. |
If A:B=2:3,B:C=5:7and C:D=3:10, then what is A : D equal to? |
| A. | 1 : 7 |
| B. | 5 : 1 |
| C. | 2 : 7 |
| D. | 1 |
| Answer» B. 5 : 1 | |
| 17. |
What number should be added to 231228 to make it exactly divisible by 33? |
| A. | 1 |
| B. | 4 |
| C. | 2 |
| D. | 3 |
| Answer» E. | |
| 18. |
Consider the following statementsI. If 18 men can earn Rs 1440 in 5 days, then 10 men can earn Rs1280 in 6 days.II. If 16 men can earn Rs1120 in 7 days, then 21 men can earn Rs800 in 4 days.Which of the above statements is/are correct? |
| A. | Only I |
| B. | Neither I nor II |
| C. | Only II |
| D. | Both I and II |
| Answer» C. Only II | |
| 19. |
Sex ratio is defined as the number of females per 1000 males. In a place, the total inhabitants are 1935000 out of which 935000 are females. What is the sex ratio for the place? |
| A. | 935 |
| B. | 9350 |
| C. | 1000 |
| D. | 1935 |
| Answer» B. 9350 | |
| 20. |
How many men will be required to plough 100 acres of land in 10 days, if 10 men require 8 days to plough 20 acres of land? |
| A. | 30 |
| B. | 60 |
| C. | 40 |
| D. | 50 |
| Answer» D. 50 | |
| 21. |
What is the number whose 20% is 30% of 40? |
| A. | 90 |
| B. | 50 |
| C. | 80 |
| D. | 60 |
| Answer» E. | |
| 22. |
A man sold two watches, each for rs 495. If he gained 10% on one watch and suffered a loss of 10% on the other, then what is the loss or gain percentage in the transaction? |
| A. | 1% gain |
| B. | No gain no loss |
| C. | 1% loss |
| D. | 100/99% loss |
| Answer» E. | |
| 23. |
If the 14th term of an arithmetic series is 6 and 6th term is 14, then what is the 95th term? |
| A. | - 75 |
| B. | - 80 |
| C. | 75 |
| D. | 80 |
| Answer» B. - 80 | |
| 24. |
Two persons P an B, 60 km away. city A P travels 4 kin/ for city reaches city B and at once turns slower than Q. Q back meeting P, 12 km from city B. What is the speed of P? |
| A. | 12 km/h |
| B. | 20 km/h |
| C. | 8 km/h |
| D. | 16 km/h |
| Answer» D. 16 km/h | |
| 25. |
Two numbers are in the ratio 3 : 5. If 9 is subtracted from each number, then they are in the ratio of 12 : 23. What is the second number? |
| A. | 44 |
| B. | 77 |
| C. | 55 |
| D. | 66 |
| Answer» D. 66 | |
| 26. |
Consider the following statementsI. There is a finite number of rations l numbers between any two rational numbers.II. There is an infinite number of rational numbers between any two rational numbers.III. There is a finite number of irrational numbers between any two rational numbers.Which of the above statements is/are correct? |
| A. | Only I |
| B. | Both II and III |
| C. | Only II |
| D. | Only III |
| Answer» D. Only III | |
| 27. |
Water contains 100/7 of hydrogen and the rest is 7 oxygen. In 350 g of water, oxygen will be |
| A. | 300 g |
| B. | None of these |
| C. | 250 g |
| D. | 200 g |
| Answer» B. None of these | |
| 28. |
Complete analogous pair Hourse : Jockey : : Car : ? |
| A. | Brake |
| B. | Steering |
| C. | Chauffeur |
| D. | Mechanic |
| Answer» D. Mechanic | |
| 29. |
The remainder on dividing given integers a and b by 7 are, respectively 5 and 4. What is the remainder when ab is divided by 7? |
| A. | 3 |
| B. | 6 |
| C. | 4 |
| D. | 5 |
| Answer» C. 4 | |
| 30. |
Three numbers are in the ratio 3 : 2 : 5 and the sum of their squares is 1862. What are the three numbers? |
| A. | 18, 12, 30 |
| B. | 21, 14, 35 |
| C. | 24, 16, 40 |
| D. | 15, 10, 25 |
| Answer» C. 24, 16, 40 | |
| 31. |
What the seller marked the printed price of a watch purchased at rs 380, so that giving 5% discount, there is 25% profit? |
| A. | 400 |
| B. | 600 |
| C. | 450 |
| D. | 500 |
| Answer» B. 600 | |
| 32. |
X can do a piece of work in 25 days. Y is 25% more efficient than X. The number of days taken by Y is |
| A. | 15 days |
| B. | 30 days |
| C. | 20 days |
| D. | 21 days |
| Answer» D. 21 days | |
| 33. |
A sum of rs 24000 is borrowed for 3/2 yr at the rate of interest 10% per annum compounded semi-annually. What is the compound interest (x)? |
| A. | x |
| B. | X u003e rs 5000 |
| C. | rs 3000 u003c x u003c rs 4000 |
| D. | rs 4000 u003c x u003c rs 5000 |
| Answer» D. rs 4000 u003c x u003c rs 5000 | |
| 34. |
What is the HCF of the polynomials x4 - 3x + 2, x3 - 3x2 + 3x - 1 and x4 — 1? |
| A. | x - 1 |
| B. | None of these |
| C. | x + 1 |
| D. | x^2 - 1 |
| Answer» B. None of these | |
| 35. |
A swimming pool 70 m long, 44 m wide and 3 m deep is filled by water flowing from a pipe at the rate of 30800 cm3/s. The time taken to fill the swimming pool is |
| A. | 71/2 h |
| B. | None of these |
| C. | 80 h |
| D. | 250/3 h |
| Answer» E. | |
| 36. |
A and B can do a piece of work in 8 days, B and C can do the same work in 12 days. If A, B and C can complete the same work in 6 days, in how many days can A and C complete the same work? |
| A. | 8 days |
| B. | 16 days |
| C. | 10 days |
| D. | 12 days |
| Answer» B. 16 days | |
| 37. |
A can do a piece of work in `x' days and B can do the same work 3x days. To finish the work together they take 12 days. What is the value of 'x'? |
| A. | 8 |
| B. | 16 |
| C. | 10 |
| D. | 12 |
| Answer» C. 10 | |
| 38. |
Three planets revolve round the Sun once in 200, 250 and 300 days, respectively in their own orbits. When do they all come relatively to the same position as at a certain point of time in their orbits? |
| A. | After 3000 days |
| B. | After 1200 days 7 |
| C. | After 2000 days |
| D. | After 1500 days |
| Answer» B. After 1200 days 7 | |
| 39. |
X completes a job in 2 days and Y completes it in 3 days and Z takes 4 days to complete it. If they work together and get z 3900 for the job, then how much amount does Y get? |
| A. | Rs 1800 |
| B. | Rs 800 |
| C. | Rs 1200 |
| D. | Rs 900 |
| Answer» D. Rs 900 | |
| 40. |
A person's salary has increased from 7200 to 8100. What is the percentage increase in his salary? |
| A. | 25% |
| B. | 25/2 % |
| C. | 18% |
| D. | 50/3 % |
| Answer» C. 18% | |
| 41. |
What are the values of c when the HCF of x3 + cx2 - x + 2c and x2+ cx - 2 over the rationals is a linear polynomial? |
| A. | ±1 |
| B. | ± 4 |
| C. | ± 2 |
| D. | ±3 |
| Answer» B. ± 4 | |
| 42. |
A certain sum at simple interest amounts to rs 1350 in 5 yr and to rs 1620 in 8 yr. What is the sum? |
| A. | Rs 700 |
| B. | Rs 1000 |
| C. | Rs800 |
| D. | Rs 900 |
| Answer» E. | |
| 43. |
10% of the inhabitants of a certain city left that city. Later on 10% of the remaining inhabitants of that city again left the city. What is the remaining percentage of population of that city? |
| A. | 80% |
| B. | 81% |
| C. | 80.4% |
| D. | 80.6% |
| Answer» C. 80.4% | |
| 44. |
If m and n are natural numbers, then m√n is |
| A. | always irrational |
| B. | irrational unless m and n are coprime |
| C. | irrational unless n is the mth power of an integer |
| D. | irrational unless m is the nth power of an integer |
| Answer» D. irrational unless m is the nth power of an integer | |
| 45. |
A water pipe is cut into two pieces. The longer piece is 70% of the length of the pipe. By how much percentage is the longer piece longer than the shorter piece? |
| A. | 140 % |
| B. | None of these |
| C. | 400/3 % |
| D. | 40 % |
| Answer» D. 40 % | |
| 46. |
What is the HCF of 8(x5 -X3 + X) and 28 (x6 + 1)? |
| A. | 4(x^4 — x^2 + 1) |
| B. | None of these |
| C. | 2 (x^4 -x^2+ 1) |
| D. | (x^4 — x^2 + 1) |
| Answer» B. None of these | |
| 47. |
Simple and Compound ineterestA man borrowed rs 40000 at 8% simple interest per year. At the end of second year, he paid back certain amount and at the end of fifth year, he paid back rs 35960 and cleared the debt. What is the amount did he pay back after the second year? |
| A. | rs 16200 |
| B. | None of these |
| C. | rs 17400 |
| D. | rs 18600 |
| Answer» D. rs 18600 | |
| 48. |
At what rate per cent per annum simple interest, will a sum of money triple itself in 25 yr? |
| A. | 8% |
| B. | 12% |
| C. | 9% |
| D. | 10% |
| Answer» B. 12% | |
| 49. |
A person goes from a place A to another place B at the speed of 4 km/h and returns at a speed of 3 km/h. If he takes 7 h in all, then what is the distance between the two places? |
| A. | 8 km |
| B. | 5 km |
| C. | 12 km |
| D. | 6 km |
| Answer» D. 6 km | |
| 50. |
Consider the following statementsI. Every integer is a rational number.II. Every rational number is a real number.Which of the above statements is/are correct? |
| A. | Only I |
| B. | Neither I nor II |
| C. | Only II |
| D. | Both I and II |
| Answer» E. | |