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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. |
1logab×1logbc×1logcaisequalto - 1logab×1logbc×1logcaisequalto - |
| A. | a+b+c |
| B. | abc |
| C. | 0 |
| D. | 1 |
| Answer» B. abc | |
| 2. |
Iflog7log5(x+5−−−−−√+x−−√)=0,whatisthevalueofx?Iflog7log5(x+5+x)=0,whatisthevalueofx? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» B. 3 | |
| 3. |
Iflog107=a,thenlog10(170)isequalto−Iflog107=a,thenlog10(170)isequalto− |
| A. | -(1 + a) |
| B. | (1 + a)-1 |
| C. | a/10 |
| D. | 1/10a |
| Answer» B. (1 + a)-1 | |
| 4. |
[1(logabc)+1+1(logbca)+1+1(logcab)+1]isequalto - [1(logabc)+1+1(logbca)+1+1(logcab)+1]isequalto - |
| A. | 1 |
| B. | 3/2 |
| C. | 2 |
| D. | 3 |
| Answer» B. 3/2 | |
| 5. |
2log105+ log108 −12log104=?2log105+ log108 −12log104=? |
| A. | 2 |
| B. | 4 |
| C. | 2 - 2log102 |
| D. | 4 - 4log102 |
| Answer» B. 4 | |
| 6. |
The value of 6 log1010003 log10100is equal to - The value of 6 log1010003 log10100is equal to - |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» B. 1 | |
| 7. |
If log5(x2+x)−log5(x+1)=2,then the value of x is - If log5(x2+x)−log5(x+1)=2,then the value of x is - |
| A. | 5 |
| B. | 10 |
| C. | 25 |
| D. | 32 |
| Answer» B. 10 | |
| 8. |
What is the value of the following expression?nlog(814)−log(1516)+log(3524)log(814)−log(1516)+log(3524) |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» B. 1 | |
| 9. |
12(logx+logy)willequaltolog(x+y2)if - 12(logx+logy)willequaltolog(x+y2)if - |
| A. | y = 0 |
| B. | x = √y |
| C. | x = y |
| D. | x = y/2 |
| Answer» B. x = √y | |
| 10. |
Thevalueof(1log360+1log460+1log560)is−Thevalueof(1log360+1log460+1log560)is− |
| A. | 0 |
| B. | 1 |
| C. | 5 |
| D. | 60 |
| Answer» B. 1 | |
| 11. |
If loga(ab) = x, then logb(ab) is - If loga(ab) = x, then logb(ab) is - |
| A. | 1/x |
| B. | x/(x+1) |
| C. | x/(1-x) |
| D. | x/(x-1) |
| Answer» B. x/(x+1) | |
| 12. |
Iflog102=aandlog103=b,thenlog512=?Iflog102=aandlog103=b,thenlog512=? |
| A. | (a+b)/(1+a) |
| B. | (2a+b)/(1+a) |
| C. | (a+2b)/(1+a) |
| D. | (2a+b)/(1-a) |
| Answer» B. (2a+b)/(1+a) | |
| 13. |
log8–√log8is equal to = ?log8log8is equal to = ? |
| A. | 1/√8 |
| B. | 1/4 |
| C. | 1/2 |
| D. | 1/8 |
| Answer» B. 1/4 | |
| 14. |
The value of log10(0.0001)is =?The value of log10(0.0001)is =? |
| A. | 1/4 |
| B. | -1/4 |
| C. | -4 |
| D. | 4 |
| Answer» B. -1/4 | |
| 15. |
If log1000x=−14, then the value of x is = ? If log1000x=−14, then the value of x is = ? |
| A. | 1/10 |
| B. | 1/100 |
| C. | 1/1000 |
| D. | 1/10000 |
| Answer» B. 1/100 | |
| 16. |
If log8p=25and log2q=5,then - If log8p=25and log2q=5,then - |
| A. | p = q15 |
| B. | p2 = q3 |
| C. | p = q5 |
| D. | p3 = q |
| Answer» B. p2 = q3 | |
| 17. |
The value oflog5(125)(625)25is equal to - The value oflog5(125)(625)25is equal to - |
| A. | 725 |
| B. | 5 |
| C. | 3125 |
| D. | 6 |
| Answer» B. 5 | |
| 18. |
Determine the value of log32√(118) is = ?Determine the value of log32(118) is = ? |
| A. | 2 |
| B. | -2 |
| C. | √2 |
| D. | √3 |
| Answer» B. -2 | |
| 19. |
Iflogx(916)=−12,thenxisequalto:Iflogx(916)=−12,thenxisequalto: |
| A. | - 3/4 |
| B. | 3/4 |
| C. | 81/256 |
| D. | 256/81 |
| Answer» B. 3/4 | |
| 20. |
Iflogab+logba=log(a+b),then:Iflogab+logba=log(a+b),then: |
| A. | a + b = 1 |
| B. | a - b = 1 |
| C. | a = b |
| D. | a2 - b2 = 1 |
| Answer» B. a - b = 1 | |
| 21. |
Iflog107=a,thenlog10(170)isequaltoIflog107=a,thenlog10(170)isequalto |
| A. | - (1 + a) |
| B. | (1 + a)-1 |
| C. | a/10 |
| D. | 1/10a |
| Answer» B. (1 + a)-1 | |
| 22. |
log8–√log8log8log8 is equal to: |
| A. | 1/6 |
| B. | 1/4 |
| C. | 1/2 |
| D. | 1/8 |
| Answer» B. 1/4 | |
| 23. |
Thevalueof(1log360+1log460+1log560)is:Thevalueof(1log360+1log460+1log560)is: |
| A. | 0 |
| B. | 1 |
| C. | 5 |
| D. | 60 |
| Answer» B. 1 | |
| 24. |
A boat moves downstream at the rate of 1 km in 71/2 minutes and upstream at the rate of 5 km an hour. What is the speed of the boat in the still water? |
| A. | 8 km/hour |
| B. | 61/2 km/hour |
| C. | 4 km/hour |
| D. | 31/2 km/hour |
| Answer» B. 61/2 km/hour | |
| 25. |
Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minutes. All the three pipes working together can fill the tank in 15 minutes, The capacity of the tank is- |
| A. | 60 gallons |
| B. | 100 gallons |
| C. | 120 gallons |
| D. | 180 gallons |
| Answer» B. 100 gallons | |
| 26. |
3/4 part of the tank is full of water. When 30 litres of water is taken out, the tank becomes empty. The capacity of the tank is - |
| A. | 36 liters |
| B. | 42 liters |
| C. | 40 liters |
| D. | 38 liters |
| Answer» B. 42 liters | |
| 27. |
A pipe can fill a tank in x hours and another pipe can empty it in y (y u003e x) hours. If both pipes are open, in how many hours will the tank is filled? |
| A. | (x - y) hours |
| B. | (y - x) hours |
| C. | xy/x - y hours |
| D. | xy/y - x hours |
| Answer» B. (y - x) hours | |
| 28. |
A pump can fill a tank with water in 2 hours. Because of a leak, it took 2(1/3) hours to fill the tank. The leak can drain all the water of the tank in: |
| A. | 4(1/3) hours |
| B. | 7 hours |
| C. | 8 hours |
| D. | 14 hours |
| Answer» B. 7 hours | |
| 29. |
12 men and 18 boys, working hours a day, can do a piece of work in 60 days. If a man works equal to 2 boys, then how many boys will be required to help 21 men to do twice the work in 50 days, working 9 hours a day ? |
| A. | 30 |
| B. | 42 |
| C. | 48 |
| D. | 90 |
| Answer» B. 42 | |
| 30. |
A garrison had provision for a certain number of days. After 10 days, of the men desert and it is found that the provision will now last as long as before. How long was that ? |
| A. | 15 days |
| B. | 25 days |
| C. | 35 days |
| D. | 50 days |
| Answer» B. 25 days | |
| 31. |
A contract is to be complete in 46 days and 117 men were set to work, each working 8 hours a day. After 33 days, 47 47 of the work is completed. How many additional men may be employed so that the work may be completed in time, each man now working 9 hours a day ? |
| A. | 80 |
| B. | 81 |
| C. | 82 |
| D. | 83 |
| Answer» B. 81 | |
| 32. |
21 binders can bind 1400 books in 15 days. How many binders will required to bind 800 books in 20 days ? |
| A. | 7 |
| B. | 9 |
| C. | 12 |
| D. | 14 |
| Answer» B. 9 | |
| 33. |
2 persons working 2 hours a day assemble 2 machine in 2 days. The number of machines assemble by 6 persons working 6 hours a day in 6 day is ? |
| A. | 6 |
| B. | 18 |
| C. | 27 |
| D. | 54 |
| Answer» B. 18 | |
| 34. |
If 17 labourers can dig a ditch 20 m long in 18 days, working 8 hours a day; how many more labourers should be engaged to dig a similar ditch 39 m long in 6 days, each labourer working 9 hours a day ? |
| A. | 34 |
| B. | 51 |
| C. | 68 |
| D. | 85 |
| Answer» B. 51 | |
| 35. |
If 5 engines consume 6 metric tonnes of coal when each is running 9 hours a day, how many metric tonnes of coal will be needed for 8 engines, each running 10 hours a day, it begin given that 3 engines of the former type consume as much as 4 engines of the latter type ? |
| A. | 31831831831831831831831833318181188318 |
| B. | 8 |
| C. | 88988988988988988988988988889898899889 |
| D. | 612256122561225612256122561225612256122566612251225121212122525252561225 |
| Answer» B. 8 | |
| 36. |
49 pumps can empty a reservoir in days, working 8 hours a day. If 196 pumps are used for 5 hours each day, then the same work will be complete in ? |
| A. | 2 days |
| B. | 212212 days21221221221221221222212121122212 |
| C. | 235235 days23523523523523523522235353355235 |
| D. | 3 days |
| Answer» B. 212212 days21221221221221221222212121122212 | |
| 37. |
3 pumps , working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day ? |
| A. | 9 |
| B. | 10 |
| C. | 11 |
| D. | 12 |
| Answer» B. 10 | |
| 38. |
4 mat-weavers can weave 4 mates in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days ? |
| A. | 4 |
| B. | 8 |
| C. | 12 |
| D. | 16 |
| Answer» B. 8 | |
| 39. |
If 6 persons working 8 hours a day earn Rs. 8400 per week, then 9 persons working 6 hours a day will produce in 30 minutes ? |
| A. | Rs. 8400 |
| B. | Rs. 9450 |
| C. | Rs. 16200 |
| D. | Rs. 16800 |
| Answer» B. Rs. 9450 | |
| 40. |
In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with the remaining meal ? |
| A. | 20 |
| B. | 30 |
| C. | 40 |
| D. | 50 |
| Answer» B. 30 | |
| 41. |
If 4949 th of a bucket is filled in 1 minute, the rest of it will be filled in ? |
| A. | 1 minute 1 minute 1 minute 1 minute 1 minute 1 minute 1 minute 1 minute 1 minute 1 minute 1 minute 1 minute |
| B. | 94 minute94 minute94 minute94 minute94 minute94 minute94 minute94 minute94949944 minute minute minute94 minute |
| C. | 54 minute54 minute54 minute54 minute54 minute54 minute54 minute54 minute54545544 minute minute minute54 minute |
| D. | 45 minute45 minute45 minute45 minute45 minute45 minute45 minute45 minute45454455 minute minute minute45 minute |
| Answer» B. 94 minute94 minute94 minute94 minute94 minute94 minute94 minute94 minute94949944 minute minute minute94 minute | |
| 42. |
If the cost of x metres of wire is d rupees, then what is the cost of y metres of wire at the same rate ? |
| A. | Rs.(xyd) Rs.(xyd)` Rs.(xyd) Rs.(xyd) Rs.(xyd) Rs.(xyd) Rs.(xyd) Rs.(xyd) Rs Rs Rs...(xyd)((xydxydxydxydxyxyxyxydd)) Rs.(xyd) |
| B. | Rs.(xd)Rs.(xd)Rs.(xd)Rs.(xd)Rs.(xd)Rs.(xd)Rs.(xd)Rs.(xd)RsRsRs...(xd)(xdxdxd)Rs.(xd) |
| C. | Rs.(yd)Rs.(yd)Rs.(yd)Rs.(yd)Rs.(yd)Rs.(yd)Rs.(yd)Rs.(yd)RsRsRs...(yd)(ydydyd)Rs.(yd) |
| D. | Rs.(ydx)Rs.(ydx)Rs.(ydx)Rs.(ydx)Rs.(ydx)Rs.(ydx)Rs.(ydx)Rs.(ydx)RsRsRs...(ydx)((ydxydxydxydxydydydydxx))Rs.(ydx) |
| Answer» B. Rs.(xd)Rs.(xd)Rs.(xd)Rs.(xd)Rs.(xd)Rs.(xd)Rs.(xd)Rs.(xd)RsRsRs...(xd)(xdxdxd)Rs.(xd) | |
| 43. |
The value of11+√2+√3+11−√2+√3 is = ? |
| A. | √2 |
| B. | √3 |
| C. | 1 |
| D. | 4(√3 + √2) |
| Answer» E. | |
| 44. |
(32×10−5)−2×64÷(216×10−4)=10? |
| A. | 6 |
| B. | 10 |
| C. | -8 |
| D. | -6 |
| Answer» E. | |
| 45. |
√10+√25+√108+√154+√2253√8=?10+25+108+154+225−−−√−−−−−−−−−−√−−−−−−−−−−−−−−−−√−−−−−−−−−−−−−−−−−−−−−−√−−−−−−−−−−−−−−−−−−−−−−−−−−−−√8–√3=? |
| A. | 8 |
| B. | 4 |
| C. | 1/2 |
| D. | 2 |
| Answer» E. | |
| 46. |
Given 2x = 8y+1 and 9y = 3x-9 , then value of x+y is = ? |
| A. | 18 |
| B. | 21 |
| C. | 24 |
| D. | 27 |
| Answer» E. | |
| 47. |
What are the values of x and y that satisfy the equationn$$eqalign{ u0026 {{text{2}}^{0.7x}}{text{.}}{{text{3}}^{ - 1.25y}}{text{ = }}frac{{8sqrt 6 }}{{27}}{text{ ?}} cr u0026 1 = cr} $$ |
| A. | x = 2.5, y = 6 |
| B. | x = 3, y = 5 |
| C. | x = 3, y = 4 |
| D. | x = 5, y = 2 |
| Answer» E. | |
| 48. |
If 55–√×53÷5−32 = 5a+2,then the value of a is = ?If 55×53÷5−32 = 5a+2,then the value of a is = ? |
| A. | 4 |
| B. | 5 |
| C. | 6 |
| D. | 8 |
| Answer» B. 5 | |
| 49. |
The exponential form ofn√√2×√3 is = ? |
| A. | 61/2 |
| B. | 61/3 |
| C. | 61/4 |
| D. | 6 |
| Answer» E. | |
| 50. |
If abc = 1,then (11+a+b−1+11+b+c−1+11+c+a−1)=?If abc = 1,then (11+a+b−1+11+b+c−1+11+c+a−1)=? |
| A. | 0 |
| B. | 1 |
| C. | 1/ab |
| D. | ab |
| Answer» B. 1 | |