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This section includes 50 Mcqs, each offering curated multiple-choice questions to sharpen your Black Rock knowledge and support exam preparation. Choose a topic below to get started.
1. |
A boatman rows 96 km downstream in 8 hours with a stream speed of 4kmph. How much time will he take to cover 8km upstream? |
A. | 4 hours |
B. | 6 hour |
C. | 2 hours |
D. | 1 hours |
Answer» D. 1 hours | |
2. |
15th august 2010 was which day of the week? |
A. | Thursday |
B. | Sunday |
C. | Wednesday |
D. | Friday |
Answer» C. Wednesday | |
3. |
What is the angle between the hour and minute hand at 3:40? |
A. | 135 |
B. | 130 |
C. | 120 |
D. | 125 |
Answer» C. 120 | |
4. |
Determine the odd man out: 15, 16, 34, 105, 424, 2124 |
A. | 105 |
B. | 424 |
C. | 34 |
D. | 2124 |
Answer» E. | |
5. |
Average of six numbers comes out to be 3.95. Average of two of the numbers is 3.4 while the average of other two is 3.85. Determine the average of the two numbers left. |
A. | 4.7 |
B. | 4.8 |
C. | 4.3 |
D. | 4.6 |
Answer» E. | |
6. |
Radius of a circle is increased by 6%, determine the increase in area of the circle. |
A. | 12% |
B. | 12.36% |
C. | 12.64% |
D. | 6% |
Answer» C. 12.64% | |
7. |
A square, a circle and an equilateral triangle have equal perimeters. If T represents the triangle, S the square and C the circle determine the relationship in their areas: |
A. | S < T < C |
B. | T < S < C |
C. | C < S < T |
D. | T < C < S |
Answer» C. C < S < T | |
8. |
A sum of money becomes Rs 13,380 in 3 years and Rs 20,070 in 6 years at compound interest. The initial sum is? |
A. | Rs 9040 |
B. | Rs 8900 |
C. | Rs 8920 |
D. | Rs 9160 |
Answer» D. Rs 9160 | |
9. |
A man invests 1/3rd of his income at 7%, 1/4th at 8% and the remainder of his income at 10%. If the annual profit is Rs 561. What was the initial capital? |
A. | Rs 7500 |
B. | Rs 6600 |
C. | Rs 4500 |
D. | Rs 3000 |
Answer» C. Rs 4500 | |
10. |
A man can row a boat three quarters of a kilometre in 11.25 minutes. What is the speed of the boat in still water? |
A. | 2 kmph |
B. | 5 kmph |
C. | 4 kmph |
D. | 3 kmph |
Answer» D. 3 kmph | |
11. |
A starts walking at 4 kmph and 4 hours after his start B starts cycling at 10 kmph. After how much distance will B catch up with A? |
A. | 26.2 km |
B. | 25.7 km |
C. | 23.2 km |
D. | 26.67 km |
Answer» E. | |
12. |
Two pipes A and B can fill a cistern in 37.5 minutes and 45 minutes respectively. This cistern will be filled in half an hour if both the pipes are opened together initially and pipe B is then turned off after X minutes. What is X? |
A. | 10 minutes |
B. | 15 minutes |
C. | 12 minutes |
D. | 9 minutes |
Answer» E. | |
13. |
12 men and 18 boys working 7.5 minutes an hour complete a particular piece of work in 60 hours. If a boy’s work is half as efficient as a man’s work, how many boys will be needed to help 21 men to achieve twice the work in 50 hours working 9 minutes in an hour. |
A. | 42 |
B. | 46 |
C. | 48 |
D. | 38 |
Answer» B. 46 | |
14. |
The third proportional to x2-y2, x-y is? |
A. | x + y |
B. | x – y |
C. | x – y/(x + y) |
D. | 1 |
Answer» D. 1 | |
15. |
Income of A is 25% more than the income of B. What is the income of B in terms of income of A? |
A. | 80% |
B. | 75% |
C. | 78.66% |
D. | 71.25% |
Answer» B. 75% | |
16. |
Given: b2 = ac and ax=by=cz. Determine the value of y. |
A. | xz/(x+z) |
B. | xz/2(z-x) |
C. | 2xz/(x+z) |
D. | xz/2(x-z) |
Answer» D. xz/2(x-z) | |
17. |
Sum of products of three numbers taken two at a time is 131. Sum of squares of the three numbers is 138. What is the sum of the three numbers? |
A. | 25 |
B. | 30 |
C. | 20 |
D. | 22 |
Answer» D. 22 | |
18. |
Find the natural number nearest to 9217 which completely divides 88 without giving any remainder. |
A. | 9240 |
B. | 9064 |
C. | 9184 |
D. | 9152 |
Answer» B. 9064 | |
19. |
LCM of two numbers is 495. HCF of these numbers is 5. If the sum of the numbers is 100, find out the difference between the two numbers. |
A. | 15 |
B. | 12 |
C. | 10 |
D. | 20 |
Answer» D. 20 | |
20. |
A class consists of 15 girls and 10 boys. Three students are to be randomly selected. Find the probability that one boy and two girls are picked. |
A. | 1/50 |
B. | 3/25 |
C. | 21/46 |
D. | 25/122 |
Answer» D. 25/122 | |
21. |
In how many ways can the letters of the word INDIA be arranged, such that all vowels are never together? |
A. | 48 |
B. | 42 |
C. | 28 |
D. | 36 |
Answer» C. 28 | |
22. |
2 students gave an examination. One of them scored 9 marks more than other and his marks were 56% of the sum of total of both their marks. What are their individual marks? |
A. | 42,33 |
B. | 42,36 |
C. | 44,33 |
D. | 44,36 |
Answer» B. 42,36 | |
23. |
Which is the odd number? 1, 8, 27, 64, 125, 196, 216, 343 |
A. | 64 |
B. | 196 |
C. | 216 |
D. | 1 |
Answer» C. 216 | |
24. |
Find the value of x if: Log105 + log10 (5x + 1) = log10 (x + 5) + 1 |
A. | 1 |
B. | 3 |
C. | 10 |
D. | 5 |
Answer» C. 10 | |
25. |
What time will be taken by an amount of Rs. 900 to yield Rs. 81 as interest at 4.5% per annum of simple interest? |
A. | 2 years |
B. | 1 years |
C. | 3 years |
D. | 4 years |
Answer» B. 1 years | |
26. |
An amount on simple interest over 8 years earns 80% increase. At the same rate, what will be the compound interest on a sum of Rs 14000 in 3 years? |
A. | 4612 |
B. | 4636 |
C. | 3794 |
D. | 3714 |
Answer» C. 3794 | |
27. |
60 apples and 75 oranges together cost Rs 1320. Cost of 80 apples is equal to that of 120 oranges. What will b the price of 25 apples and 40 oranges? |
A. | 660 |
B. | 620 |
C. | 820 |
D. | 780 |
Answer» C. 820 | |
28. |
What investment must be made to obtain Rs 650 income from 10% stock at Rs 96? |
A. | 3100 |
B. | 6240 |
C. | 6000 |
D. | 3500 |
Answer» C. 6000 | |
29. |
Find the ratio of speed of truck to train if truck covers 550m in 1 minute and train covers 33 km in 45 min. |
A. | 4:3 |
B. | 3:4 |
C. | 2:1 |
D. | 1:2 |
Answer» C. 2:1 | |
30. |
Arnesh is thrice as good as Bhanu in a work. He finishes a work in 60 days less than that taken by Bhanu. How many days will they take to complete the work together? |
A. | 18 days |
B. | 15 days |
C. | 22.5 days |
D. | 16 days |
Answer» D. 16 days | |
31. |
A man walks with 3kmph speed in the direction of a train. How much time will a 500m long train take to overtake him at a speed of 63kmph? |
A. | 42 seconds |
B. | 30 seconds |
C. | 50 seconds |
D. | 36 seconds |
Answer» C. 50 seconds | |
32. |
What should be next in the given series? 2, 7, 10, 22, 18, 37, 26 |
A. | 42 |
B. | 52 |
C. | 62 |
D. | 72 |
Answer» C. 62 | |
33. |
Solve for the given equation 121 x 54 =? |
A. | 68225 |
B. | 75625 |
C. | 76569 |
D. | 45854 |
Answer» C. 76569 | |
34. |
In a decade, a town’s population increases from 175000 to 262500. What is the average % increase of population each year? |
A. | 4% |
B. | 6% |
C. | 5% |
D. | 50% |
Answer» D. 50% | |
35. |
How many times do the hands of the clock coincide in a day? |
A. | 22 |
B. | 24 |
C. | 20 |
D. | 21 |
Answer» B. 24 | |
36. |
40 cows eat 40 canes in 40 days. How many days will one cow take to eat one cane? |
A. | 1 |
B. | 40 |
C. | 20 |
D. | 60 |
Answer» C. 20 | |
37. |
What day will be 61 days after today, if today is Monday? |
A. | Tuesday |
B. | Thursday |
C. | Saturday |
D. | Friday |
Answer» D. Friday | |
38. |
I take 2 hours to go 2 km against the current of a stream and 20 minutes to go 1 km along the current. How long will I take to travel 5 km in stationary water? |
A. | 2 hr 30 min |
B. | 2 hr |
C. | 4 hr |
D. | 3 hr 30 min |
Answer» B. 2 hr | |
39. |
A sum is presently Rs 5760 due sometime hence and has a banker’s gain of 10. What is the true discount? |
A. | Rs 240 |
B. | Rs 420 |
C. | Rs 480 |
D. | Rs 400 |
Answer» B. Rs 420 | |
40. |
What percentage of the total distance is saved by a man if he walks diagonally across a square park rather than walking around the edges? |
A. | 20% |
B. | 30% |
C. | 33% |
D. | 35% |
Answer» C. 33% | |
41. |
Determine a man’s present age if his present age is 125% of his age 10 years ago and 83.333% of his age 10 years from now. |
A. | 40 years |
B. | 50 years |
C. | 60 years |
D. | 70 years |
Answer» C. 60 years | |
42. |
For a race a distance of 224 meters can be covered by P in 28 seconds and Q in 32 seconds. By what distance does P defeat Q eventually? |
A. | 26m |
B. | 32m |
C. | 24m |
D. | 28m |
Answer» C. 24m | |
43. |
A pump fills a tank in 2 hours. Due to a leak it took 2 2/3 hours to fill the tank. In how much time will the leak drain the entire tank? |
A. | 6 hours |
B. | 8 hours |
C. | 9 hours |
D. | 10 hours |
Answer» C. 9 hours | |
44. |
Three coins are tossed. What is the probability of getting at most two tails? |
A. | 7/8 |
B. | 1/8 |
C. | 2/8 |
D. | 4/8 |
Answer» B. 1/8 | |
45. |
The cost price of a particular amount of articles is same as the number of articles. Selling price of the articles comes out to be 20. Over the whole transaction 25% is gained. What is X? |
A. | 15 |
B. | 18 |
C. | 16 |
D. | 20 |
Answer» D. 20 | |
46. |
A container has 40L milk. 4L milk is taken out and replaced with water, the process done three times. What is the amount of milk now left? |
A. | 28L |
B. | 29L |
C. | 29.16L |
D. | 28.4L |
Answer» D. 28.4L | |
47. |
With an investment of 45000, X starts a business which is joined by Y after 3 months with 30000. How should they share the profit at the end of the year? |
A. | 1:3 |
B. | 2:1 |
C. | 1:3 |
D. | 3:1 |
Answer» C. 1:3 | |
48. |
20% of A is B, then B% of 20 is same as what? |
A. | 4% of A |
B. | 10% of A |
C. | 20% of A |
D. | None |
Answer» B. 10% of A | |
49. |
In how many different ways can a group of 4 be made out of 4 girls and 6 boys such that at least one boy is selected each time? |
A. | 159 |
B. | 209 |
C. | 201 |
D. | 212 |
Answer» C. 201 | |
50. |
A boat has a speed of 14kmph in standing water. The stream has a speed of 1.2kmph. What time does the boat take to go to a distance of 4864 km and come back? (hours) |
A. | 700 |
B. | 350 |
C. | 1000 |
D. | 4200 |
Answer» B. 350 | |