This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
What is th area of a right angled traiangle ? A. The perimeter of the triangle is 30 cm. B. The ratio between the base and the height of the triangle is `5:12.` C. The area of the trangle is equal to the area of a reactangle of length 10 cms.A. Only B and C together are requiredB. Only A and B together are requiredC. Only either A or B and C together are required.D. Only A and C together are required |
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Answer» Correct Answer - B A Hypotenuse `=sqrt(5^(2)+12^(2))=sqrt(25+144)=sqrt(169)=13` Base: height: Hypotenuse `=5:12:13` B Base + Height + Hypotenuse = 30 cm `therefore"Base"=(5)/(5+12+13)xx30=5` cm height `=(12)/(5+12+13)xx30=12` cm Area `1/2basexx"height"=1/2xx5xx12=30cm^(2)` |
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| 2. |
How much profit did Mahesh earn on the cost price of an article by selling it? A. He got `15%` discount on the marked price at the time of purchase. B. He sold it for Rs.3060. C. He earned `2%` profit on the marked price.A. Only A and B both together are necessary.B. Only B and C both together are necessary.C. Only A or C both together are necessary.D. All three A, B and C together are necessary |
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Answer» Let the marked price be Rs. X A. cost price `=(1-0.15)x=Rs. 0.85x` B. S.P. =Rs. 3060 C. Profit `=2%of x=0.02x` Profit `%` on marked Price `P%((SP-MP))/(MP)` `2=(3060-x)/(100)` `1.02x=3060` `MP,x=3000` `CP=.85x=2550` Profit `%` on CP `P%(SP-CP)/(100)xx100=20%` |
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| 3. |
What is the height of the right angle triangle ? I. It is a right-angled triangle. II. The area of the triangle is 5 times its base.A. if the data in statement I alone are sufficient to answer the questin, while the data in statement II alone are not sufficient to answer the question.B. if the data in statement II alon are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.C. if the data either in statement I alone or in statement II alone in sufficient to answer the question.D. if the data in both the statements I and II together are necessary to answer the question. |
| Answer» From statements I and II, since it is a right-angled triangle, Area `=1/2xxbxxh 1/2xxbh=10` | |
| 4. |
The ration of the ages of Jasim and Addula is `6:11.` Find out the ratio of their ages 5 years ago. A. The difference of their ages is 35 years. B. The difference of their ages after 5 years will be 35 years. C. The sum of their ages is 119 years.A. Only A and C together are suffcientB. Anyone or A, B and C is sufficientC. Only A and B together are sufficientD. Any two of A, B and C are sufficient |
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Answer» Correct Answer - B According to question Ratio of the ages of Jasim and Abdula `=6:11` From (A): `11x-6x=35` So, we can find out ratio of their age 5 years ago. From (B): `(11x+5)-(6x+5)=35` So, we can find out ratio of their age 5 years ago. From (C ): `11x+6x=119` So, we can also find out ratio of their age 5 years ago. |
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| 5. |
What is the value of a two-digit number in which digit at tens place is greater than digit at unit place? A. The sum of the digits is 5. II. The difference of the squares of the digits is 15. C. The difference of their digits is 3.A. A and B together are sufficientB. B and C together are sufficientC. C and A together are sufficientD. Any one pair of A and B, B and C and A is sufficient |
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Answer» Correct Answer - D From `A, X+y=5` From `B, x^(2)-y^(2)=15` From `C, x-y=3` To determine the no. any two statements are necessary. |
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| 6. |
If m and n are integers then is n completely divisible by 10? A. The value of `"("(m)/(10)+(n)/(10)")"` is a integer value. B. The value of `"("(m)/(7)+(n)/(10)")"` is an integer value. C. value of n is greater than m.A. Any two of themB. A and B togetherC. Any of themD. All statements are required |
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Answer» Correct Answer - B From A `to m+n=10xxk` (let k is an integer value) From `B to 10m+7n=70xx1` (Let l is an integer value) From `C tongtm` From A and B `({:(10m+10n,=,100k),(10m+7m,=,70l):})/({:(10n-7n,=,100k-70l),(3n,=,100k-70l):})` `3n=10(10k-71):` Hence n is divisible by 10. Thus option A and B together are needed to solve the question. |
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| 7. |
How much time will Dinesh take to walk a 10 km distance? I. The ratio of the speeds at which Dinesh and Ranjay walk is `5:6.` II. The average walking speed of Dinesh and Ranjay is known.A. if the data in statement I alone are sufficient to answer the questin, while the data in statement II alone are not sufficient to answer the question.B. if the data in statement II alon are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.C. if the data either in statement I alone or in statement II alone in sufficient to answer the question.D. if the data in both the statements I and II together are necessary to answer the question. |
| Answer» Combining I & II, we get speed of Dinesh and thus time can be calculated. | |
| 8. |
Rajnish buys 30 books and 65 pens. If price of each book is more than price of each pen than what money does he have to pay for this? A. At a profit of `20%` he sells all the objects for Rs. 3828. B. The CP of one book and one pen is Rs. 90 C. The difference between sum and difference of buying price of ne pen and one book is Rs. 28A. Only A alone or B alone is sufficientB. B or C together are sufficientC. A alone or B and C together are sufficientD. All even together are not sufficient |
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Answer» Correct Answer - C From A :n Profit `=20% and S.P. =3828.` `therefore"Total price"=(3828xx100)/(120)` From `C:(x+y)-(x-y)=28=14y` And `x+y=90` (From B) `x=76` `therefore` A alone or B and C together are sufficient. |
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| 9. |
Is the average of a, b and c equal to b? I. `b-a=c-b` II. A.b and c are positive integers.A. if the data in statement I alone are sufficient to answer the questin, while the data in statement II alone are not sufficient to answer the question.B. if the data in statement II alon are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.C. if the data either in statement I alone or in statement II alone in sufficient to answer the question.D. if the data even in both the statements I and II together are not sufficient to answer the question. |
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Answer» Correct Answer - A From I, we say a,b,c are in AP. |
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| 10. |
A, B and C entered into a partnership. IF the profit earned in the business is proportional to the investment and the period of investment then What is the profit of B if all of them invested the amount for one year and total profit is Rs.x. A. A invested Rs.1500 more than that of C. B. A invested 2 times more than that of B. C invested 3 times more than that of A. C. B invested 200 percent more than that of A and `100%` less than that of C.A. Any two of themB. Either B or C aloneC. Any of themD. None of these |
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Answer» Correct Answer - B We can get ratio of investment from either statement B alone or C alone so profit of B can be determined from option b |
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| 11. |
Quantity I: Profit Percentage, if Some articles were bougth at 6 articles for Rs.5 and sold at 5 articles for Rs. 6. Quantity II: Profit Percentage, if 100 toys are bougth at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen.A. Quantity `Igt` Quantity IIB. Quantity `I ge` Quantity IIC. Quantity `II gt` Quantity IID. Quantity `II ge` Quantity I |
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Answer» Correct Answer - A I. If to no of article bougth is LCm of 6 and 5 is 30 CP of 30 articles `=5//6**30=Rs. 25` SP of 30 ar ticles `=6//5**30=Rs.36` Profit `36-25=11` Profit `%` age `=11//25**100=44%` II. CP of 1 toy `=350//100=3.50` SP of 1 toy `=48//12=4.` Profit `=4-3.5=0.5.` Profit `%ge (0.5//3.5)**100=14 2//7%` |
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| 12. |
What is the rate of interest pcpa ? Statements: I. The difference between the compound interest and simple interest earned in two years on the amount invested is Rs.100. II. The amount becomes Rs.19,500 in three years on simple interest. III. The simple interest acquired in two years on the same amount at the same rate of interest is `Rs. 3,000.A. only I and IIB. only I and IIIC. only II and IIID. only I and either II or III |
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Answer» Correct Answer - B From statement I, If the investment amount be Rs.P and rate of interest be R p.c.p. a. then Difference `=P((R)/(100))^(2)==(PR^(2))/(10000)=100" "...(i)` From Statement II, `(PR_(1)xx3)/(100)=19500-P" "(ii)` From Statement III, `(PRxx2)/(100)=3000" "(iii)` Dividing equation (i) by (iii), `(PR^(2))/(PR)=(1000000)/(150000)=20/3` `impliesR=30/3p.c.p.a` |
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| 13. |
What is rate p.c.p.a. on a amount of Rs. 6,000 deposited in a Bank ? A. The simple interest for four years is Rs. 3600. B. The difference between the simple interest and compound interest is Rs. 894.0375.A. if the statement A alone is sufficient to answer the question, but the statement B alone is not sufficient.B. if the statement B alone is sufficient to answer the question, the statement A alone is not sufficient.C. if both statements A and B together are needed to answer the question.D. if either the statement A alone or statement B alone is sufficient to answer the question |
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Answer» Correct Answer - A Principal `=6000` A. `S.I=3600` `T=4` years Rate `=(3600xx100)/(6000xx4)=15%` B. `CI-SI=Rs.894.0375` So, we can find rate from statement A, but statement B is not sufficient. |
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| 14. |
What is the rate of interest percent per annum? I. An amount doubles itself in 5 yr on imple interest, II. Difference between the compound interest and the simple interest earned on a certain in two years is Rs.400. III. Simple interest earned per annum is Rs. 400.A. Only IB. II and IIIC. Any two of threeD. Only I or II and III |
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Answer» From, I, If P = 100 `A=200 and SI=200-100=100` Rate `=(SIxx100)/(PxxT)=(100xx100)/(2000xx1)=20%` From II and III, Rate `=(400xx100)/(2000xx1)=20%` Hence either I alone or II + III will be sufficient. |
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| 15. |
What will be the amount of the end of 2 years, if the interest is compounded yearly. I. The simple interest on the same sum for a period of 2 year is Rs.400 at the same rate of `5%` per annum. II. The difference between the simple interest and the compound interest for 2 years at the rate of `5%` per annum is Rs.100.A. if the data in statement I alone are sufficient to answer the questin, while the data in statement II alone are not sufficient to answer the question.B. if the data in statement II alon are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.C. if the data either in statement I alone or in statement II alone in sufficient to answer the question.D. if the data given in both the statement I and II together are not suffesient to answer the questin, and |
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Answer» Correct Answer - C From statement I, `P=(S.I.xx100)/(RxxT)=(400xx100)/(5xx2)=Rs.4000` Using, `A+P(1+(R)/(100))^(T),` amount can be determined. From statement II, Difference `=(PR^(2))/((100)^(2))` We can find principal and hence amount. Data either in statement I alone or in statement II alone are sufficient to answer the question. |
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| 16. |
What will be the cost of fencing a rectangular plot ? A. Cost of fencing rectangular plot whose area is `316m^(2)` is Rs.968. B. Perimeter of the rectangular plot is 200 m. C. Perimeter of the square whose length is equal to the breadth of the rectangular plot is 20 m.A. Only CB. A and C togetherC. A and B togetherD. A and either B or C |
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Answer» Correct Answer - C Statement (A) gives the cost of fencing one metre of the plot. Combining this with statement (B), total cost of fencing can be determined. |
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| 17. |
In how many days 10 women can finish the work I. 10 men finish the work in 6 days. II. 10 women and 10 men finish the work in `3(3)/(7)` days. III. If 10 men work 3 days and after that 10 women are deployed to work for men, the rest work is finighed in 4 days.A. I and IIB. Any two of threeC. I and IIID. II and III |
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Answer» Correct Answer - B From I and II, 10 women can finish the work in 1 day `=7/24-1/6=(7-4)/(24)=1/8` `therefore` 10 women can finish the work in 8 days. From II and III, Let 10 men and finish the work in x days and 10 woment can finigh the same wirk in y days. Hence, `1/x+1/y=7/24" "...(i)` and from III-II, `3/x+4/y=1" "...(ii)` from (i) & (ii) `y=8` days Again from I and II `3/6+4/y=1 impliesy=8` days |
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| 18. |
What is of the area of rectangle and cost of its flooring?Statements: I. The length of the rectangle is 6 meters. II. The breadth of the rectangle is two-thirds of its length. III. The cost of flooring the area of 100 `cm ^(2)` is Rs.45.A. Onlt I and IIIB. Only II and IIIC. Only II and IIID. Quesin cannot be answred even with data in all three statements. |
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Answer» Correct Answer - C Using statement I and II we can find the area of the rectangle and using statemetn III we can find the cost. |
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| 19. |
What will be sum of two natural numbers P & Q? A. P & Q both are multiple of 24, while P is `50%` more than Q. B. `(P)/(30)&(Q)/(40)` both are natural number.A. Statement A alone is sufficient to answer the question but statement B alone is not sufficient to answer the questions.B. Statement B alone is sufficient to answer the question but statement A alone is not sufficient to answer the question.C. Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.D. Either stetement A or stetement B by itself is sufficient to answer the question. |
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Answer» From A - Given, P & Q both are integer and both are multiple of 24 and P is `50%` more than Q So, P & Q can be `(72,48), (216,144)` and so on ………. So, data A alone is not sufficient to give answer of the question From B- Given, `P/30 & (Q)/(40)` both are natural number But, we can not calculate the value of P & Q From A & B P & Q can be `(720,480), (2160,1440)` and so on........... So, Statements A and B taken together are not sufficient to answer the question |
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| 20. |
What is the cost of flooring the rectangular hall ? I. Length and the breadth of the hall are in the ratio of `3:2` II. Length of the hall is 48 m and cost of florring is Rs. 850 per sq m. III. Permeter of the hall is 160 m and cost of flooring is Rs. 850 per sq m.A. I and IIB. I and IIIC. Only IIID. Any two of the three |
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Answer» From I and II. Length `=3x=48m` `therefore x=16` Breadth `=2x=32m` Hence, Area of floor `=48xx32` Cost of flooring `=48xx32xx850=Rs. 1305600` From I and III, `2(1+b)=160` `implies2(3x+2x)=160implies10x=160` `therefore x=16` `therefore "Length"=3xx16=48m` Breadth `=2xx16=32m` Cost of flooring `=(48xx32)xx850=Rs. 1305600` Similarly, from II and III, we can find I = 48 m and b =32m and Total cost of flooring = Rs. 1305600 |
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| 21. |
Five men and five women are to be arranged in a row while seating in a party. Quantity I: Number of ways of arranging 5 men and 5 women such that on two men or women are adjacent to each other. Quantity II: Number of ways of arranging 5 men and 5 woment such that all men sit together.A. Quantity I `gt` Quantity IIB. Quantity I `lt` Quantity IIC. Quantity I `ge` Quantity IID. Quantity I `le` Quantity II |
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Answer» Correct Answer - B Here, For quantity I `to` First the different no. of was to arrange 5 men or 5 woment `=5!` Now, `"_M_M_M_M_M"` No. of ways of arranging 5 men and 5 women such that no two woment or men sit together `=2xx5!xx5!` For quantity II`to` No. of ways of arranging 5 men and 5 women such that all men sit together `to6!xx5!` `because2xx5!xx5!lt6!xx5!` So, Quantity `Ilt` Quantity II |
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| 22. |
4 men & 18 women can do a piece of work in 2.5 days, then in how many days 12 woment can complete the same piece of work ? A. Ratio of efficiency of men to woment is `3:2.` B. 6 men & 6 women can complete the dame work in 4 days.A. Statement A alone is sufficient to answer the question but statement B alone is not sufficient to answer the questions.B. Statement B alone is sufficient to answer the question but statement A alone is not sufficient to answer the question.C. Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.D. Either stetement A or stetement B by itself is sufficient to answer the question. |
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Answer» From A- One man `=3/2` women Total work `=((3)/(2)xx4+18)xx2.5=60` units So, 12 women can complete the work `=60/12=5` days From B `(4m+18w)xxx2.5=(6m+6w)4` `14m=21w` One man `=1.5` woment Total work `=(4xx1.5+18)xx2.5=60` units So, 12 woment can complete the work `60/12=5` days So, Either satemetn A or statement B alone is sufficient to give answer of the question. |
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| 23. |
How many students passed in first class ? Statements: I. `85%` of the students who appeared in examination have passed either in first class or in second class. II. 750 students have passed in seond class. III. The number of students who passed in first class is `28%` of those passed in second class.A. All, I , II and IIIB. Only I and IIIC. Only II and IIID. None of three statements. |
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Answer» Correct Answer - C Using statemet II and III, `28%` of 750 students will give our answer. |
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| 24. |
There are `(2a+16)` students in a Coaching Institute with three streams, i.e. Engineering, medical & Commerce. The ratio of students who take Energineering to Medical is `4:1.` Find total number of students in Coaching Institute. A. Total students who take Engineering are 8 more than total students who take Commerce and probability of selecting one student who take Medical is `1/8.` B. Total Commerce students in class are `25%` less than total Engineering students in the Coaching Institute.A. Statement A alone is sufficient to answer the question but statement B alone is not sufficient to answer the questions.B. Statement B alone is sufficient to answer the question but statement A alone is not sufficient to answer the question.C. Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.D. Either stetement A or stetement B by itself is sufficient to answer the question. |
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Answer» Let students who take Engineering ans Medical be 4b & b respectively Total students who take Commerce `=(2a+16)-(4b+b)=(2a+16-5b)` From A- `4b-(2a+16-5b)=8` `-2a+9b=24…(i)` Also, `(b)/((2a+16))=1/8` `-2a+8b=16" "(ii)` `b=8` Total students in Coaching Institute = 64 From B- `(2a+16-5b)xx75/100=4b" "...(i)` `6a+48-15b=16b` `31b=6a+48` `b=(6a+48)/(31)` So, statement A alone is sufficient to answer the question but statement B alone is not sufficient to answer the question. |
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| 25. |
Quantity I- In a question paper probability of a question not being answered by three students is `0,5, 0.4,0.7` respectively. Find the probability that at most two students will solve the question. Quantity II- Dipak have 5 black balls & 7 white balls, in his bag. If three balls are drawn at random from bag, then find probability of getting at least 1 black ball. Quantity III- nirmal speaks the turth 4 out of 5 times, and Puja speaks the truth 6 out of 7 times. What is the probability that they will contradict each othre in stating the same fact?A. (@,&)B. (#,@)C. (@,@)D. (**,#) |
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Answer» Correct Answer - C Quantity -I Probablity of at most two students wil solve the question =1- probability of all three studrnts will solve the question `=1-(0.5)xx(0.6)xx(0.3)=1-0.09=0.91` Quantity II- Total balls `=5+7=12` Probability of getting at least 1 black ball =1- probability of no black ball. `=1-7/44=37/44=0.84` Quantity III- P (Nirmal speak truth) =`4/5` P (Puja speak truth )`=6/7` Required probability `=4/5xx1/7+1/5xx6/7=10/35=2/7~~0.28` Quantity I `gt` Quantity `II gt` Quantity III |
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| 26. |
What will be sum of two numbers? A. Among the two numbers, the bigger number is greater than the smaller number by 6. B. `40%` of the smaller number is equal to `30%` of the bigger number. C. The ratio between half of the bigger number and `1/3rd` of the smaller number is `2:1.`A. Only B and C together are necessaryB. Only A and B together are necessaryC. Out of A, B and C any two together are ncecessaryD. All three A, B and C together are necessary |
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Answer» Correct Answer - B A `x-y=6^(2)` B `0.4y=0.3x x/y=4/3,` C. `x/2:y/3=2:1` `x/yxx3/2=2/1impliesx/y=4/3` B and C give the same expression and hence no need of C statement. `x=4/3yimpliesx-y=6` `4/3y-y=6impliesy/3=6` `y=18and x=4/3xx18=24` |
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| 27. |
What is the length of the train ? I. The train crosses a signal post in 9 seconds. II. If the train with speed x kmph crosses another train 100m long coming from the opposite direction at 60 kmph in 15 seconds.A. if the data in statement I alone are sufficient to answer the questin, while the data in statement II alone are not sufficient to answer the question.B. if the data in statement II alon are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.C. if the data either in statement I alone or in statement II alone in sufficient to answer the question.D. if the data in both the statements I and II together are necessary to answer the question. |
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Answer» From both the statements, If the length of the train by y meter, Speed of train `=y/9m//sec=y/9xx18/5=(2y)/(5)kmph` Again, `((5y)/(9xx18)+60)==(15)/(60xx60)=(y+100)/(1000)` `implies((5y)/(9xx10)+60)xx15/36=(y+100)/(10)" "...(i)` It is to be noted that when a train crosses a pole, the distance covered = length of the train, When it crosses another train, Relative speed `xx` time = sum of lengths of both trains. Hence, from equation (i), we can determine length or train. Length is (-ve) neglect that sign. |
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| 28. |
A certain number of men typist can type a complete book in five hours less than the time taken by some women typist. Work completed by one man in one hour is same as the work completed by one woman in hour. `to` Which one of the following ratio of number of men to number of women can satisfy the above given condition `{:((i),2.5,(ii),10.3),((iii),9.7,(iv),10.7):}`A. only (ii)B. only (ii) and (iii)C. only (i) and (ii)D. all of the above |
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Answer» Correct Answer - C Let Aham invested for t days `{:("Rajan ""Gagan ""Ahmad"),(900xx12 :1800xx6:xt):}` Here, x will depend on t and value of t can be maximum 6 months ans minimum 1 month On putting t=6 `X=1800` Putting `t=4` `x=2700` Putting `t=2` `x=5400` |
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| 29. |
What is the speed of the boat in still water?It takes 2 hours to cover the distance between Aand B downstream.It takes 4 hours to cover the distance between Aand B upstream.A. if the data in Statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer to question.B. if the data in statement Ii alone are sufficient to answer the questin, while the data in statemetn I alone are not suffcient to answer the question.C. if the data wither in statement I alone or in statement II alone are sufficient to answer the question.D. if the data event in both the statements I and II together are necessary to answer the question. |
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Answer» Correct Answer - D Let the distance between A and B be z km. Again, let speed of boat in still water be x kmph and that of stream be y kmph. `therefore` Rate downstream `=(x+y)` kmph Rate upstream `=(x-y)` kmph From statement I, `(z)/(x+y)=2" "...(i)` From statement II, `(z)/(x-y)=4" "...(ii)` we have two equations and three variables, therefore both equations are not sufficient. |
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| 30. |
What is the speed of the stream? I. The ratio of speed in upstream to the speed in downstream is `2:3` II. The distance travelled in upstream in 2 hours by a man is more than distance travelled by him in downstram in 1 hour by 4 km.A. The data in Statement I alone are sufficient to answer the quenstion, while the data in statement II alone are not sufficient to answer the question.B. The data in statement I alone or in statement II alone are sufficient to answer the question.C. The data either in statement I alone or instatement II alone are sufficient to answer the questionD. The data even in both the statements I and II together II alone not sufficient to answer the question. |
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Answer» From statement I, given: The rato of speed in upstream to the speed in downstream is `2:3` Let speed in upstream be 2x km/hr and speed in downstream be 3x km/hr. Since x is not known, so speed of the stream cannot be obtaines. Thus, the data in Statement I alone are not sufficient to answer the question From statement II, Given: The distance travelled in upstream in 2 hours by a man is more than distance travelled by him in dowstream in 1 hour by 4km. `implies` distance travelled in upstream `-1xx` speed in upstream) = 4 km `because` Speed in upstream and downstream is not known, so speed of the stream cannot be found using these data. Thus, the data in Statement II alone are not sufficient to answer the question Combining I and II, Speed in upstream `=2x` Speed in downstream `=3x` (`2xx` speed in downstream `-1xx` speed in upstream) =4km `implies(2xx3x1xx2x)=4m` ` implies6x-2x=4` `impliesx=1km//hr` `therefore` Speed in upstream and downstream are 2 km/hr and 3 km/hr respectively. Speed of the stream `=1//2` (speed in downstream - speed in upsteam) `=1//2(3-2)` `1//2km//hr` |
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| 31. |
If X is earning `40%` more than Z and Y is earning `35%` more than Z Quantity I: If Z earning Rs. 17500, then X is earning Quantity II: If Z earning Rs. 20000, then Y is earningA. Quantity - I `gt` Quantity -IisB. Quantity `-I lt` Quantituy - IIC. Quantity `-Ige` Quantity - IID. Quantity `- I le` Quantity - II |
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Answer» Correct Answer - B Quantity 1 `lt` Quantity II Explanation: `X=(100+40)//100xx17500=24500` `Y=(100+35)//100xx20000=27000` |
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| 32. |
What is the sped of train ? I. Trin crosses a signal post in 15 seconds. II. Train crosses a 150 metre long platform in 27 seconds. III. Train crosses another train running in the same direction on a parallel track in 32 seconds.A. I and IIB. I and IIIC. II and IIID. Any two of the three |
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Answer» Correct Answer - A From statements I and II, We can say that train crosses 250 m in (27-15) seconds `therefore"speed"=(250)/(12)` `=20.83m//s.` |
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| 33. |
Quantity I: If the speed of the boat in the direction of current is 13 km/hr and the speed of the current is 4 km/hr. What is the speed of the boat against current. Quantity: II The downstream speed and upstream speed of the boat is 13 km/hr and 3 km/hr respectively. What is the speed of the streamA. Quantity - I `gt` Quantity -IisB. Quantity `-I lt` Quantituy - IIC. Quantity `-Ige` Quantity - IID. Quantity `- I le` Quantity - II |
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Answer» Quantity I = Quantity II or No relation can be estabilshed Explanation : Quantity `I=13-4-4=5` kmph Quantity II `=(13-3)//2=` 5 km/hr |
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| 34. |
What is the speed of boat? (A) Sum of time taken by a boat in upstream and downstream is 18 hours to cover distance 180 km in each. (B) Speed of boat in downstream is 30 km/ h. (C ) Boat cover 90 km in 7 hr, while rowing in upstreamA. Either A and B or B and C are sufficient to answer the questionB. Either A and B or A and C are sufficient to answer the questionC. Either A and C or B and C are sufficient to answer the questionD. Any two statements are sufficient to answer the question |
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Answer» Correct Answer - D Let speed of boat ans stream be x and and y respectively `(A)to (180)/((x+y))+(180)/((x-y))=18` `(B) to x+y=30km//hr` `(C) to x-y=90/7km//hr` By using any two statements we can given answer. |
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| 35. |
Which of the following is not considered under metal charge?(a) Steel scrap(b) Zinc scrap(c) Cast iron scrap(d) Pig iron |
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Answer» Correct answer is (b) Zinc scrap For explanation: Among the following, metal charge is found to consist of steel scrap, cast iron scrap and pig iron, but not zinc scrap. |
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| 36. |
Quantity I: The speed of the stream is 3 km/hr. A boat goes 30 km oupstream and comes back again to the starting point in 175 min. Then sped of the boat in still water ( in km/hr): Quantity II: A man in a car travels a certain distance in 20 min. He observes that he corossed 8 bus stops. If distance between two bus stops are 1000m, then the speed at which the car is travelling (in km/hr)A. Quantity - I `gt` Quantity -IisB. Quantity `-I lt` Quantituy - IIC. Quantity `-Ige` Quantity - IID. Quantity `- I =` Quantity - II |
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Answer» Explanation : Quantity - I Let speed of the Boat = x Speed of the stream = 3 km/hr `(30)/(x-3)+(30)/(x+3)=175/60` `(62x)/(x^(2)-9)=35/12` `7x^(2)-144x-63=0` `7x^(2)-147x+3x-63=0` `thereforex=21` Quantity - II Bus stops = 8 Distance between bus stops = 1 km Total distance `=1xx7=7` km Let speed of car = x Time = 20 min `(7)/(20)xx(60)/(1)=21` km Hence, Quantity - II = Quantity - I |
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| 37. |
Which of the following furnaces is mainly used for re-melting the steel metal?(a) Blast furnace(b) Electric arc furnace(c) Rotary furnace(d) Cupola furnace |
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Answer» The correct answer is (b) Electric arc furnace Easy explanation: A furnace is a tool used for melting the ferrous and nonferrous materials for the production of castings; different furnaces are used for melting and re-melting the ferrous and nonferrous materials. A blast furnace basically used for melting the iron ore to get pig iron, cupola furnace is used to produce cast iron metal and an electric arc furnace is used for re-melting the steel metal. |
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| 38. |
A car is moving at the sped of 40.0 km/hr. The driver raises the engine and the car accelerates to a speed of 50.0 km/hr. This acceleration is due to1. Rolling friction between the tire and the road2. Kinetic friction between the tire and the road3. Static friction between the tire and the road4. Powering up of the engine only5. |
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Answer» Correct Answer - Option 2 : Kinetic friction between the tire and the road The correct answer is Kinetic friction between the tire and the road.
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| 39. |
What is the percentage weight of iron in cementite?(a) 93.3%(b) 94.3%(c) 95.3%(d) 96.3% |
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Answer» Correct answer is (a) 93.3% Explanation: In the compound iron carbide or cementite, the percentage weight of iron is 93.3% and the rest of the space in the lattice is occupied by carbon. By weight, carbon is present in about 6.67% in the mixture. |
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| 40. |
Which of the following is the primary benefit of using the electric furnaces for melting the metals?(a) High productivity(b) Better quality of materials(c) High strength of metals(d) Less maintenance |
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Answer» Right answer is (a) High productivity The explanation is: The primary benefit of using the electric furnaces is the large reduction in the specific energy required to produce the metal. The ratio, energy per weight of the metal is reduced by using the electric furnaces for melting the metals, which directly hikes the productivity. So this method has high productivity. |
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| 41. |
A Geostationary satellite :1. revolves about the polar axis2. Has a time period less than that of the near earth satellite3. moves faster than a near earth satellite4. is stationary in the space5. |
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Answer» Correct Answer - Option 1 : revolves about the polar axis The correct answer is revolves about the polar axis.
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| 42. |
100 m3 = _____ litres.1. 1022. 1033. 1044. 105 |
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Answer» Correct Answer - Option 4 : 105 Explanation: Volume: The amount of space occupied by a closed surface is called its volume. SI unit of volume is m3. 1 m3 = 1000 litre 100 m3 = 100 × 1000 = 105 litres. |
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| 43. |
If the reading of a barometer falls rapidly, how will the weather change?1. a severe storm is coming2. it is going to be cold3. it is going to be hot4. there will be a continuous rainfall for at least 48 hours |
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Answer» Correct Answer - Option 1 : a severe storm is coming The correct answer is it is going to be hot.
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| 44. |
What is the maximum capacity of an air furnace?(a) 35 tons(b) 70 tons(c) 19 tons(d) 50 tons |
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Answer» Right choice is (a) 35 tons The best explanation: None. |
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| 45. |
What should be the highest sulphur pick-up in the acid-cupola reaction?(a) 90%(b) 63%(c) 68%(d) 51% |
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Answer» Correct option is (a) 90% The explanation: There is no such way by which one may be able to identify the amount of sulphur pick-up. But, the highest amount of sulphur pick-up in acid-cupola reaction should not be more than 80% to 90%. |
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| 46. |
What should be the lowest sulphur pick-up in the acid-cupola reaction?(a) 10%(b) 13%(c) 18%(d) 21% |
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Answer» Right option is (a) 10% The explanation: There is no such method in existence which will be able to tell us the amount of sulphur pick-up. But, the lowest amount of sulphur pick-up in acid-cupola reaction should not be more than 10%. |
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| 47. |
In annealing process, for the formation of hypereutectoid steel, the steel has to be heated above what point?(a) Ac1(b) Ac2(c) Ac3(d) Ac4 |
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Answer» Right answer is (a) Ac1 For explanation I would say: For the formation of hypereutectoid steel, in annealing process, the steel has to be heated above the Ac1 point, which is the lower critical line in the temperature versus carbon content graph. |
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| 48. |
In full annealing, the steel is heated at what temperature?(a) Above critical temperature(b) Above vaporization temperature(c) Above liquefying temperature(d) Above solidification temperature |
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Answer» The correct option is (a) Above critical temperature For explanation I would say: In the process of full annealing, the steel has to be heated slightly above the critical temperature. At this point, the steel has to be held for a considerable amount of time. |
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| 49. |
Which of the following is not a type of blow molding process?(a) Injection blow molding(b) Extrusion blow molding(c) Multi-smaller blow molding(d) Multi-larger blow molding |
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Answer» Right answer is (c) Multi-smaller blow molding The best explanation: Blow molding basically is a process of inflation of air under pressure into the plastics inside the mold cavity. There are only three known types of blow molding, namely, injection blow molding, extrusion blow molding and multi larger blow molding. |
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| 50. |
What is the minimum air pressure required in the blow molding process?(a) 350 kPa(b) 400 kPa(c) 450 kPa(d) 500 kPa |
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Answer» The correct option is (b) 400 kPa Explanation: In the blow molding process, there is some amount of pressure that has to be given to the air for blowing the bottles. The amount of pressure to be given depends on the material. The minimum pressure that can be given in this process is 400 kPa. |
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