MU-NLPC/Calc-aqua_rat huggingface dataset:
Which of the following is the Highest Common Factor of 27, 81 and 54?
Choose the correct choice from the following answers.
A) 8 B) 9 C) 6 D) 14 E) 12

Solution: the Highest Common Factor is 9Ans is :9
Answer: B
A man, a woman and a boy can complete a job in 3,4 and 12 days respectively.
How many boys must assist 1 man and 1 woman to complete the job in ¼ of a day?	Choose the most appropriate option
A) 1day B) 4days C) 19days D) 41days E) 52days

Solution: (1 man + 1 woman)'s 1 days work = 1/3+1/4=7/12   Work done by 1 man and 1 women n 1/4 day=((7/12)*(1/4))=7/48   Remaining work= 1- 7/48= 41/48   Work done by 1 boy in ¼ day= ((1/12)*(1/4)) =1/48   Therefore, Number of boys required= ((41/48)*48)= 
((41/48)*48) = 41
41 days   ANSWER 41days 41days
Answer: D
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place? Answers:
A) 2.86
B) 2.88
C) 2.80
D) 2.87
E) 2.82

Solution: M = 6   S = 1.2   DS = 6 + 1.2= 
6 + 1.2 = 7.2
7.2   US= 6 - 1.2= 
6 - 1.2 = 4.8
4.8   x/7.2 + x/4.8= 1   x = 2.88   Answer: 2.88
Answer: B
A certain research group plans to create computer models of x% of a list of 10,000 bacterial species known to inhabit the human body. After a budget cut, the group finds it must reduce this selection by (x − 8)%. In terms of x, how many species of bacteria will the group be able to model? Choose the correct answer:
A) x*x – 5x
B) (x)(105 – x)
C) (x)*(108 - x)
D) (100)(95 – x)
E) (x-5)/100

Solution: Initial: (x/100)*10000 = 100x (bacterial species)   After reduce BY (x - 8)%, the percentage of bacterial species = 1 - (x - 8)% = 1 - (x - 8)/100 = (108 - x)/100   Note: Difference betweenreduce to[means: the remain] andreduce by[means: the remain = 1 -reduce by]   So, the number of bacterial species after reducing: 100x*(108 - x)/100 = (x)*(108 - x)   Ans is (x)*(108 - x).
Answer: C
A train is 250 meter long is running at a speed of 36 km/hour. In what time will it pass a station of 200 meter length?
Answers
A) 28 seconds	B) 27 seconds	C) 45 seconds	D) 26 seconds	E) 18 seconds

Solution: Speed = 36 Km/hr = 36*(5/18) m/sec = 10 m/sec   Total distance = 250+200= 
250+200 = 450
450 meter   Time= Distance/speed   = 450 * (10) = 45 seconds   Answer: 45 seconds
Answer: C
John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 1 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?	Choose the correct answer:
A) 4y
B) 5y
C) 6y
D) 8y
E) 19y

Solution: Let $x be the advance that both receive = 2x   Amount earned per hour by John and Mary = x/10 and x/9   Mary gives $y to John to make the wages earned equal   Hence John wage per hr = (x+y)10 which is now equal to Mary's wage (x-y)/9   Solve (x+y)10 = (x-y)/9   9x + 9y = 10x -10y   x = 19y   Ans. 19y
Answer: E
Simple interest on a sum at 4% per annum for 2 years is Rs.80. The C.I. on the same sum for the same period is? Choose the correct choice from the following options
A) 81.6 B) 81.5 C) 81.1 D) 81.9 E) 81.2

Solution: SI = 40 + 40   CI = 40 + 40 + 1.6= 
40 + 40 + 1.6 = 81.6
81.6   81.6nswer: 81.6
Answer: A
Excluding stoppages, the speed of a train is 48 kmph and including stoppages it is 32 kmph. Of how many minutes does the train stop per hour?
Choose the correct option.
A) A)40  B) B)30  C) C)20  D) D)10  E) E)5

Solution: Explanation:   T = 16/48 * 60= 
16/48 * 60 = 20
20   Answer: Option 20
Answer: C
The edge of a cube is 4a cm. Find its surface?
Choices:
A) 104a2 cm2
B) 64a2 cm2
C) 96a2 cm2
D) 84a2 cm2
E) 56a2 cm2

Solution: 6a2 = 6 * 4a * 4a = 96a2   Answer:96a2 cm26 * 4  * 4= 
6 * 4  * 4 = 96
96a2   Answer:96a2 cm2
Answer: C
A and B are playing mathematical puzzles. A asks B "which whole numbers, greater than one, can divide all the nine three digit numbers 111,222,333,444,555,666, 777,888 and 999?"
B immediately gave the desired answer. It was :-
Choose one
A) 3, 37 and 119 B) 3 AND 37 and 111 C) 9, 37 and 111 D) 3, 9 and 37 E) None

Solution: Explanation :   Each of the number can be written as a multiple of 111. And,   The factors of 111 are 3 and 37.   Thus, the desired answer is 3, 37 and 111.   Answer : 3 AND 37 and 111
Answer: B
A certain city with a population of 84,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district What is the minimum possible population that the least populated district could have ? Pick one.
A) a) 10,700
B) b) 10,800
C) c) 7,000
D) d) 11,000
E) e) 11,100

Solution: Let x = number of people in smallest district   x*1.1 = number of people in largest district   x will be minimised when the number of people in largest district is maximised   10*x*1.1 = 11x = total number of people in other districts   So we have 11x + x = 84k   x = 7,000   Answer : c) 7,000
Answer: C
A lady gives a dinner party to 5 guests to be selected from nine friends. The number of ways of forming the party of 5, given that two of the friends will not attend the party together is  Choose the correct choice from the following:
A) 56
B) 126
C) 91
D) 94
E) None of these

Solution: Number of ways of selecting 5 guests from nine friends = 9C5   Out of these, 7C3 ways are those in which two of the friends occur together [3 more persons to be selected out of remaining 7]   ∴ Number of ways, in which two of the friends will not attend the party together = 9C5 – 7C3 = 91.   Answer 91
Answer: C
The number of boxes in a warehouse can be divided evenly into 6 equal shipments by boat or 27 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse?
Choose the correct choice from the following answers
A) 27
B) 33
C) 54
D) 81
E) 162

Solution: Explanations   1) This tells us that the number of boxes is evenly divisible by both 6 and 27; in other words, it’s a common multiple of 6 and 27. The question says: what’s the smallest value it could have? In other words, what’s the LCM of 6 and 27? (This question is one example of a real-world set-up where the question is actually asking for the LCM.)   Step (a): 6 = 2*3 27 = 3*3*3   Step (b): 6 = 2*3 27 = 3*3*3 GCF = 3   Step (c): 6 = 3*2 27 = 3*9   Step (d) LCM = 3*2*9= 
3*2*9 = 54
54   Thus, 54 is the LCM of 6 and 27.   Answer: 54.
Answer: C
A bag contains 3 red, 6 yellow and 8 green balls. 3 balls are drawn randomly. What is the probability that the balls drawn contain balls of different colours? Answers:
A) 2/7	B) 3/5	C) 3/11	D) 18/85	E) 7/16

Solution: Total number of balls = 3+6+8= 
3+6+8 = 17
17   n(S)= 17C3 = 680   n(E) = 3C1 * 6C1 * 8C1 = 144   Probability = 144/680 = 18/85   Answer is 18/85
Answer: D
Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $63 more. What was his original selling price?	Choose the correct choice from the following options
A) $850
B) $990
C) $1050
D) $1180
E) $1340

Solution: Let P be the original purchase price of the product.   Bill originally sold the product for 1.1*P.   In the second scenario, the purchase price is 0.9*P.   A 30% profit means the selling price would be 1.3*0.9*P = 1.17*P   Thus, according to the information in the question, 1.17P - 1.1P = 63   0.07 = 63   P = 900   The original selling price was  900*1.1= 
 900*1.1 = 990
990.   The correct answer is $990.
Answer: B
The workforce of Company X is 60% female. The company hired 28 additional male workers, and as a result, the percent of female workers dropped to 55%.How many employees did the company have after hiring the additional male workers? Choices: A) 160 B) 220 C) 336 D) 360 E) 420

Solution: Let's xx be total quantity of employees   0.6x=females before adding men   0.55(x+28)=females after adding men   as quantity of women doesn't change we can make an equation:   0.6x=0.55(x+28)   0.05x=15.4   x=308 - this is quantity of employees before adding 28 men   So after adding it will be 336   Answer is 336
Answer: C
Bruce and Bhishma are running on a circular track of length 600m. Speed of Bruce is 30 m/s and that of Bhishma is 20 m/s .They start fro the same point at the same time in the same direction. When will they meet again for the first time?
Choose the correct answer:	A) 30 sec	B) 40 sec	C) 50 sec	D) 60 sec	E) 70 sec

Solution: Actually Arjun has to make a lead of 600 m, because when Arjun will be 600m ahead of Bhishma, they will be together again as a person when completes the total length it starts retracing he same path and thus Arjun and Bhishma can be together again.   Since , they make a difference of 10 m in 1 second. so, he will create 600m difference in 60 second.   60 sec
Answer: D
x is the smallest integer greater than 1000 that is not prime and that has only one factor in common with 30!. What is x?	Choose the most appropriate option.
A) 1009  B) 1021  C) 1147  D) 1273  E) 50! + 1

Solution: Next, x and 30! have only one factor in common means that this factor must be 1 (any two integers have 1 as a common factor). Thus no other factor of 30! is a factor of x. So, the least prime of x can be 31 (30! has all primes less than 30).   x cannot be 31*31= 
31*31 = 961
961 because it's less than 1,000.   The next prime is 37: 31*37= 1147 > 1,000.   Answer: 1147
Answer: C
A, B and C enter into a partnership by investing $11000, $15000 and $23000 respectively. At the end of 8 months, B receives $1540 as his share. Find the share of A.  Choose the correct choice from the following answers:	A) $811	B) $922	C) $1033	D) $1144	E) $1255

Solution: The ratio of capital of A, B and C = 11000 : 15000 : 23000 = 11 : 15 : 23   A's share = (11/15)*1560= 
(11/15)*1560 = 1_144
$1144   The answer is $1144.
Answer: D
A number when divided by a divisor leaves a remainder of 24.
When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
Select:
A) 34
B) 35
C) 37
D) 38
E) 40

Solution: Let the original number be 'a'   Let the divisor be 'd'   Let the quotient of the division of aa by dd be 'x'   Therefore, we can write the relation as a/d = x and the remainder is 24.   i.e., a=dx+24 When twice the original number is divided by d, 2a is divided by d.   We know that a=dx+24. Therefore, 2a = 2dx + 48   The problem states that (2dx+48)/d leaves a remainder of 11.   2dx2dx is perfectly divisible by d and will therefore, not leave a remainder.   The remainder of 11 was obtained by dividing 48 by d.   When 48 is divided by 37, the remainder that one will obtain is 11.   Hence, the divisor is 37.   37
Answer: C
What is the area of a square field whose diagonal of length 30 m? Choose the correct option
A) 300 sq m B) 250 sq m C) 200 sq m D) 400 sq m E) 800 sq m

Solution: d2/2 = (30 * 30)/2 = 300   300 sq mNSWER:300 sq m
Answer: A
A,B,C invested the capitals in a business. If the investment of A, B, C are Rs. 40,000, Rs.50,000, Rs.10000 respectively and the profit got by B is Rs.7500, find the profit of others. Choose the correct choice from the following answers.
A) 6000, 1500  B) 5000, 2500  C) 6500, 1000  D) 5500, 2000  E) 5250, 2250

Solution: 6000, 1500==40,000   B==50,000   C==10,000   so, ration are 4:5:1   5x = 7500 ie) x=1500   6000, 1500's profit=4x =6000   C's profit =x=1500   6000, 1500NSWER:6000, 1500
Answer: A
The average score in an examination of 10 students of a class is 60. If the scores of the top five students are not considered, the average score of the remaining students falls by 5. The pass mark was 40 and the maximum mark was 100. It is also known that none of the students failed. If each of the top five scorers had distinct integral scores, the maximum possible score of the topper is ?
Options
A) 87 B) 95 C) 99 D) 100 E) 103

Solution: The average score in an examination of 10 students of a class is 60 --> the total score = 10*60= 
10*60 = 600
600;   The 5 smallest scores have an average of 55 --> the total score of the 5 smallest scores= 275.   From above, the total score of the 5 largest scores = 600 - 275= 
600 - 275 = 325
325.   Say the 5 largest scores are a, b, c, d, and e (where a<b<c<d<e, since each of the top five scorers had distinct scores). We want to maximize e. To maximize e, we need to minimize a, b, c, and d. The least value of a, is 55 (The least score of the top 5 , a, should be equal to the highest of the bottom 5 and to minimize the highest of the bottom 5, all scores from the bottom 5 should be equal). In this case the least values of b, c, and d are 56, 57, and 58 respectively:   a + b + c + d + e= 55 + 56 +57 + 58 + e = 325;   e = 99.   Answer: 99.
Answer: C
The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively is? Pick:  A) 1200  B) 1500  C) 1700  D) 1349  E) 1389

Solution: LCM = 1400   1400 - 6= 
1400 - 6 = 1_394
1394   ANSWER 1349
Answer: D
If x and y are positive integers such that y is a multiple of 5 and 3x + 6y = 300, then x must be a multiple of which of the following? Answers.
A) 3.  B) 6.  C) 7.  D) 8.  E) 10.

Solution: If y is a multiple of 5, then 6y is also a multiple of 5.   3x = 300 - 6y   300 - 6y is even and it is a multiple of 5.   Thus x must also be even and a multiple of 5.   Therefore x must be a multiple of 10.   The answer is 10..
Answer: E
If a - b = 3 and a(power 2) + b(power 2) = 21, find the value of ab.
Choose the correct choice from the following answers: A) 5 B) 8 C) 4 D) 6 E) 3

Solution: 2ab = (a(power 2) + b(power 2) - (a - b)(power 2)   = 21 - 9= 
21 - 9 = 12
12   ab= 6.   Answer is 6.
Answer: D
A lady builds 9cm length, 12cm width, and 3cm height box using 3cubic cm cubes. What is the minimum number of cubes required to build the box? Choose the correct choice.
A) 107 B) 108 C) 109 D) 110 E) 111

Solution: Number of cubes required = Volume of box/Volume of cube   = 9*12*3/3= 
9*12*3/3 = 108
108 cubes   ANSWER:108
Answer: B
Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 47 years. What will be the age of the B ten years hence?  Pick one: A) 22 B) 77 C) 94 D) 96 E) 51

Solution: Let the present ages of A, B and C be a, b and c respectively.   Given, [(a - 5) + (b - 5)] / 2 = 40 => a + b = 90 --- (1)   (b + c)/2 = 47 => b + c = 94 --- (2)   From (1) and (2), we cannot find b.   Answer: 94
Answer: C
One out of every 300 light bulbs are defected. If 2 out of every 10 defected light bulbs have a broken glass and there are 20 broken glass light bulbs in the shipment, how many light bulbs total are there in the shipment?  Choose one
A) 2,000
B) 30000
C) 10,000
D) 50,000
E) 52,000

Solution: 20 broken glasses indicates that  10*10= 
 10*10 = 100
100 defected bulbs are present.   100 defected bulbs indicates that 100*300= 30,000 light bulbs are present.   30000 is the answer
Answer: B
If the sales tax reduced from 3 1/2 % to 3 1/3%, then what difference does it make to a person who purchases an article with market price of Rs. 7800 ?
Choose the correct choice.
A) 11 B) 13 C) 14 D) 18 E) 10

Solution: Required difference = [3 ½ % of Rs.7800] – [3 1/3 % of Rs.7800]   = [(7/20-(10/3)]% of Rs.7800 =1/6 % of Rs.7800   = Rs. [(1/6)8(1/100)*7800] = Rs. 13.   Answer is 13.
Answer: B
If f(a)=2a+8, what is the value of (f(2a)+f(a)) ?
Choose the correct choice from the following:
A) 6a+16  B) 8a-7  C) 6a+18  D) 6a+12  E) 3a+5

Solution: f(a)=2a+8   f(2a)= 4a+8   (f(2a)+f(a)) = 4a+8+2a+8 = 6a+16   6a+16nswer is 6a+16
Answer: A
A cistern 10 m long and 6 m wide contains water up to a breadth of 1 m 35 cm. Find the total area of the wet surface.
Choices:  A) 100 m sqaure  B) 103 m sqaure  C) 152 m sqaure  D) 164 m sqaure  E) None of these

Solution: Explanation:   Area of the wet surface =   2[lb+bh+hl] - lb = 2 [bh+hl] + lb   = 2[(6*1.35+10*1.35)]+10*6 = 103 m square   Option 103 m sqaure
Answer: B
A boat having a length 3 m and breadth 3 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is: Select the correct option.
A) 100 kg
B) 120 kg
C) 89 Kg
D) 90 Kg
E) 110 Kg

Solution: Volume of water displaced	= (3 x 3 x 0.01) m3   = 0.09 m3.   Mass of man = Volume of water displaced x Density of water   = (0.09 x 1000) kg   = 90 kg.   Answer: 90 Kg
Answer: D
Tom and John traveled in the same direction along the equal route at their constant speed rates of 15 km per hour and 10 km per hour, respectively. After 15 minutes Tom passed John, Tom reaches a certain Gas station, how many Q minutes it takes John to reach the station?
Choose the correct choice from the following choices
A) 5 min	B) 6 min	C) 7 and 1/2 min	D) 8 min	E) 10 min

Solution: Since the question states “after 15 minutes”, we can say Tom traveled 15/4km for 15 minutes as he can travel 15km per hour. Hence, using the same logic, we can say John traveled 10/4km as he travels 10km per hour. So, John has to travel (15/4)-(10/4)km=5/4km more. Since John’s speed is 10km/hour, which means 1km/6minutes. As he has to travel 5/4km more, it is going to take him 6(5/4) minutes. Hence,Q= 6(5/4)=15/2 minutes. The correct answer is 7 and 1/2 min.
Answer: C
The diameter of the driving wheel of a bus is 120 m. How many revolution, per minute must the wheel make in order to keep a speed of 60 kmph approximately Choose one:
A) 245
B) 257
C) 262
D) 265
E) 275

Solution: Explanation:   Distance to be covered in 1 min. = (60 X 1000)/(60) m = 1000 m.   Circumference of the wheel = (2 x (22/7) x 0.60) m = 3.77 m.   Number of revolutions per min. =(1000/3.77) = 265   Answer: Option 265
Answer: D
How many different positive integers exist between 10^6 and 10^7, the sum of whose digits is equal to 2? Pick one
A) 5  B) 6  C) 7  D) 8  E) 18

Solution: Total cases => 1000000=> 6 cases for 1 being present at any of the 6 zero   and last case 2000000   hence & cases   ANSWER:7
Answer: C
A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?	Options:
A) 11 hours  B) 16 hours  C) 12 hours  D) 13 hours  E) 17 hours

Solution: A's 1 hour's work =1/4;   (B + C)'s 1 hour's work = 1/3;   (A + C)'s 1 hour's work = 1/2.   (A + B + C)'s 1 hour's work = ( 1/4 + 1/3 )	= 7/12.   B's 1 hour's work = ( 7/12 - 1/2 ) = 1/12.   Therefore B alone will take 12 hours to do the work.   12 hoursORRE12 hoursT OPTION : "12 hours"
Answer: C
Today is Thursday. The day after 51 days will be?	Choose the correct choice from the following choices
A) Monday  B) Tuesday  C) Saturday  D) Sunday  E) wednesday

Solution: Explanation:   51 days = 7 weeks 2 days = 2 odd days   Hence if today is Thursday, After 51 days, it will be = (Thursday + 2 odd days)   = Saturday   Answer: Option Saturday
Answer: C
A man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses. Next year his income increases by 20% but his savings increase by 100%. If his total expenditure in 2 years is double his expenditure in 1st year, What %age of his income in the first year did he save?
Choose the correct option:
A) 15%
B) 18%
C) 20%
D) 25%
E) 26%

Solution: 1st year Income= I   1st year savings= S   1st year Expense= E1   2nd year Income = 1.2I   2nd year savings= 2S (100% increase)   2nd Year expense= E2   E1+ E2= 2E1   E2=E1   That means Expenses are same during both years. With increase of 20% income the savings increased by 100%.   or S= .2I   or S= 20% of Income   20% is the answer
Answer: C
If x2*square* – x – 2 > 0, which of the following is the
solution set for x?  Choose the correct choice from the following answers:
A) x > –1
B) x > 2
C) –1 < x < 2
D) x < –1 or x > 2
E) No solutions are possible

Solution: Begin by treating the inequality x2 – x – 2 > 0 as if it were an equation. Factor to find the zeros:   x2 – x – 2 = 0   (x + 1)(x – 2) = 0   x = –1 and x = 2   The graph of this function is a parabola that crosses the x-axis at –1 and 2. This graph is   concave up because the coefficient of the x2 term (that is, a) is positive. The parabola dips   below the x-axis when –1 < x < 2, so these values do not satisfy the equation. Therefore, the   correct answer is D. (If you doubt this answer, note that when x = 0, x2 – x – 2 = –2,   which is less than 0. So 0 is not in the solution set.)   correct answer x < –1 or x > 2) x < –1 or x > 2
Answer: D
In the rectangular coordinate system, points (8, 0) and (– 8, 0) both lie on circle C. What is the maximum possible value of the radius of C ?
Choices: A) 2 B) 4 C) 8 D) 16 E) None of the above

Solution: The answer is C   It takes 3 distinct points to define a circle. Only 2 are given here.   The two points essentially identify a single chord of the circle C. Since no other information is provided, however, the radius of the circle can essentially be anything. All this information tell us is that the radius isgreater 8 8
Answer: C
some 6th std students each bought a pencil paying a total of 143rs.some of the 26 fifth std students each bought a pencil and they paid a total of 165rs.how many more fifth std students than sixth std students bought a pencil	Options.
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: common factor between 165 and 143 is 11. (11*15=165, 11*13=143). so each pencil costs 11rs. and there was (13-11)= 
(13-11) = 2
2 students more in fifth std than sith std   ANSWER:2
Answer: B
The LCM and HCF of two numbers are 1000 and 100 respectively. Find the larger of the two numbers if their sum is 1100.	Choose the correct choice from the following answers
A) 1000
B) 10
C) 567
D) 57
E) 678

Solution: There are 2 approaches in solving this.   Methode 1.   HCF * LCM = The Actual Number.   1000* 100= 
1000* 100 = 100_000
100000   So the answer which we are looking for has to be a factor of 100000.   So among the options shortlist the answers by eliminating those numbers which is not divisible by 100000. and then take the highest number as the answer as the question asks abt the highest number.   answer is 1000
Answer: A
If n = 2p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?	Pick one.
A) Two	B) Three	C) Four	D) Six	E) Eight

Solution: If n = 2p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?   (A) Two   (B) Three   (C) Four   (D) Six   (E) Eight   Since we cannot have two correct answers just pick a prime greater than 2, and see how many different positiveevendivisors will 2p have.   p = 3 --> 2p = 6--> 6 has 2 even divisors: 2, 6   Twonswer: Two.
Answer: A
How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Pick:	A) 25	B) 30	C) 40	D) 45	E) 50

Solution: Relative speed of the train=63-3= 
63-3 = 60
60kmph=60*5/18=50/3 m/sec   t=500*3/50= 
500*3/50 = 30
30sec   ANSWER:30
Answer: B
A hostel had provisions for 250 men for 32 days. If 50 men left the hostel, how long will the food last at the same rate? Choices
A) 30 B) 40 C) 50 D) 60 E) 65

Solution: A hostel had provisions for 250 men for 32 days   If 50 men leaves the hostel, remaining men = 250 - 50= 
250 - 50 = 200
200   We need to find out how long the food will last for these 200 men.   Let the required number of days= x days   More men, Less days (Indirect Proportion)   (men) 250 : 200 :: x : 32   250×32=200x   5×32=4x   x=5×8=40   ANSWER 40
Answer: B
The population of a city is 160,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?  Choose the correct choice from the following.
A) 268942 B) 186935 C) 179776 D) 167425 E) None of these

Solution: Explanation:   Population after n years = P [1 + (R/100)]2   Population after 2 years = 160000 * [1 + 6/100]2 = (160000 x 53/50 x 53/50) = 179776   ANSWER: 179776
Answer: C
Consider a lady took a loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 9900 interest only for the period. The principal amount borrowed by her was Select the correct option:
A) Rs. 2000
B) Rs. 27500
C) Rs. 15000
D) Rs. 20000
E) None of these

Solution: Explanation :   Principal = Rs. (100×9900 / 12×3)   => Rs. 27500.   Answer : Rs. 27500
Answer: B