MU-NLPC/Calc-aqua_rat huggingface dataset:
An aeroplane covers a certain distance at a speed of 240 kmph in 4 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
Choices:  A) 520  B) 620  C) 576  D) 740  E) 720

Solution: Distance = (240 x 4) = 960 km.   Speed = Distance/Time   Speed = 960/(5/3) km/hr. [We can write 1 2/3 hours as 5/3 hours]   Required speed = (960 x 3/5) km/hr = 576 km/hr   Answer 576) 576 Km/hr
Answer: C
Two pipes A and B can fill a cistern in 37 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after? Choose the correct choice from the following options: A) 7 B) 9 C) 11 D) 13 E) 15

Solution: Let B be turned off after x minutes. Then,   Part filled by (A + B) in x min. + Part filled by A in (30 -x) min. = 1.   x 2	+	1 + (30 - x).	2	= 1   75	45	75   11x	+	(60 -2x)	= 1   225	75   11x + 180 - 6x = 225.   x = 9.   9)
Answer: B
The lengths of the legs of a right triangle are x and y, while the length of the hypotenuse is
x + y- 4. What is the maximum radius of a circle inscribed in this triangle?	Choices
A) 1
B) 2
C) 4
D) 22
E) cannot be determined from the information given

Solution: Length of hypotenuse: x + y-4 = a + b. Hence x + y = a + b + 4.   Sum of lengths of legs: x + y = a + b + 2r.   Therefore 2r = 4, so r = 2.   correct answer 2
Answer: B
The ratio between the school ages of Neelam and Shaan is 5:6 respectively. If the ratio between the one-third age of Neelam and half of Shaan's age of 5:9, then what is the school age of Shaan?  Answers:
A) 19	B) 27	C) 16	D) 15	E) 17

Solution: Let the school ages of Neelam and Shaan be 5x and 6x years respectively.   Then, (1/3 * 5x)/(1/2 * 6x) = 5/9   15 = 15   Thus, Shaan's age cannot be determined.Answer: 15
Answer: D
In a clothing store, there are six different colored neckties (red, orange, yellow, green, blue, and indigo) and six different colored shirts (red, orange, yellow, green, blue, and indigo) that must be packed into boxes for gifts. If each box can only fit one necktie and one shirt, what is the probability that all of the boxes will contain a necktie and a shirt of the same color Choose the correct choice from the following answers
A) 719/720 B) 1/120 C) 2/233 D) 3/543 E) 1/720

Solution: 6 ties and 6 shirts...   red tie can take any of 6 shirts..   orange can take any of the remaining 5 shirts   yellow any of remaining 4..   and so on till last indigo chooses the 1 remaining..   Total ways= 6*5*4*3*2*1= 
6*5*4*3*2*1 = 720
720   out of this 720, ONLY 1 way will have same colour tie and shirt..   prob= 719/720   719/720
Answer: A
The denominator of a fraction is 1 less than twice the numerator. If the numerator and denominator are both increased by 1, the fraction becomes 3/5. Find the fraction? Choose the correct option:
A) 5/7
B) 5/1
C) 5/9.
D) 5/2
E) 5/8

Solution: Let the numerator and denominator of the fraction be 'n' and 'd' respectively.   d = 2n - 1   (n + 1)/(d + 1) = 3/5   5n + 5 = 3d + 3   5n + 5 = 3(2n - 1) + 3 => n = 5   d = 2n - 1 => d = 9   Hence the fraction is : 5/9.   Answer: 5/9.
Answer: C
Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Choose the most appropriate option
A) 2277  B) 9261  C) 686  D) 1268  E) 2612

Solution: A = 8000(21/20)3 = 9261   Answer: O9261
Answer: B
Six computers, each working at the same constant rate, together can process a certain amount of data in 9 days. How many additional computers, each working at the same constant rate, will be needed to process the same amount of data in 6 days? Options:
A) 3  B) 5  C) 6  D) 9  E) 12

Solution: Explanation: If six computers require 9 days to process the data, thats   a total of 54 computer-days the product of 6 and 9. If you change the number   of computers or the number of days, 54 will have to remain the product, whether   that means 54 days of one computer or one day with 54 computers.   In 6 days, the number of computers is:   6c = 54   c = 9   9 computers is 3 more than the 6 that it took to do the job in 9 days, so   the correct choice is (3).
Answer: A
A cube is divided into 125 identical cubelets. Each cut is made parallel to some surface of the cube. But before doing that, the cube is painted with green on one set of opposite faces, red on another set of opposite faces, and blue on the third set of opposite faces. How many cubelets are painted with exactly one colour?	Choose the correct option:
A) 36 B) 42 C) 48 D) 54 E) 60

Solution: Each side of the cube has 5 x 5 = 25 cubelets.   Only the interior cubelets are painted one colour.   On each side, 3 x 3 = 9 cubelets are painted one colour.   Since the cube has six sides, the number of cubes with one colour is  6*9= 
 6*9 = 54
54   The answer is 54.
Answer: D
If x/4 – (x – 3)/5 = 1, then find the value of x.  Choose the correct choice from the following options:
A) 9	B) 7	C) 6	D) 8	E) 5

Solution: Explanation:   x/4 – (x - 3)/5 = 1   (5x – 4(x – 3))/20 = 1   5x - 4x + 12 = 20   x = 8   9NSWER:9
Answer: A
You walk one mile to school every day. You leave home at the same time each
day, walk at a steady speed of 3 miles per hour, and arrive just as school begins. Today you
were distracted by the pleasant weather and walked the rst half mile at a speed of only 2
miles per hour. At how many miles per hour must you run the last half mile in order to arrive
just as school begins today?
Choose the correct choice:
A) 4 miles per hour B) 6 miles per hour C) 8 miles per hour D) 10 miles per hour E) 12miles per hour

Solution: Recall the formula s = v t, where in this case, s is distance (in miles) traveled at a   constant speed of v (miles per hour), for a time of t hours. The rst statement indicates that   it usually takes you only 20 minutes to go to school (solve for t in 1 = 3 t and change units)   Today, it took you 15 minutes to cover the rst half mile (solve for t in 1=2 = 2 t and   change units). You only have 5 more minutes to arrive (that is 1/12th of an hour), and need   to cover another half mile. Solve for v in the equation 1=2 = (1=12) v.   correct answer 6 miles per hour
Answer: B
A train 560 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long? Pick one:
A) 40
B) 56
C) 41
D) 42
E) 34

Solution: Speed = 45 * 5/18 = 25/2 m/sec   Total distance covered = 560 + 140= 
560 + 140 = 700
700 m   Required time= 700 * 2/25 = 40 sec   Answer: Option 56
Answer: B
If {b} denote the remainder when 3b is divided by 2 then which of the following is equal to 1 for all positive integers b?
I. {2b+1}
II. {2b}+1
III. 2{b+1}
Choose the correct choice:
A) I only  B) II only  C) I and II  D) III only  E) II and III

Solution: I and II - I and II   3b/2 = 0 or 1   I just substituted 1 in the equations and solved.
Answer: C
Kim can do a work in 3 days while David can do the same work in 2 days. Both of them finish the work together and get Rs. 150. What is the share of Kim?  Choose the most appropriate option
A) 22 B) 60 C) 88 D) 66 E) 12

Solution: Kim's wages : David's wages = Kim's 1 day work : David's 1 day work = 1/3 : 1/2 = 2:3   Kim's share = 2/5 * 150 = Rs. 60   Answer: 60
Answer: B
A 5-digit code consists of one number digit chosen from 1, 2, 3 and four letters chosen from A, B, C, D, E. If the first and last digit must be a letter digit and each digit can appear more than once in a code, how many different codes are possible?  Pick one.
A) 375 B) 625 C) 1,875 D) 3,750 E) 5,625

Solution: Choose one number from 3 numbers in 3C1 = 3 ways   Choose one position from the middle three for the number in 3C1 = 3 ways   The other four positions can be filled by the 5 letters in 5^4 ways.   Therefore total number of codes possible = 3*3*(5^4) = 5,625   ANSW5,625R:5,625
Answer: E
A cyclist covers a distance of 750 meter in 2 minutes 50 seconds. What is the speed in km/hr of cyclist  Pick
A) 16 km/hr B) 17 km/hr C) 15.84 km/hr D) 19 km/hr E) 20 km/hr

Solution: Explanation:   Speed=Distance/Time   Distance=750meter   Time=2 min 50sec=170sec   Speed=750/170=4.4m/sec   =>4.4âˆ—18/5km/hr=15.84km/hr   Option 15.84 km/hr
Answer: C
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Choose one:
A) 288	B) 277	C) 274	D) 270	E) 281

Solution: Speed = 72 * 5/18= 
72 * 5/18 = 20
20 m/sec.   Time= 26 sec.   Let the length of the train be x meters.   Then, (x + 250)/26 = 20   x = 270 m.   Answer: 270
Answer: D
A man purchased 1 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?  Pick.
A) 278  B) 277  C) 278  D) 450  E) 650

Solution: 10 * 150= 
10 * 150 = 1_500
1500   1 * 100 + 5 * 150= 
1 * 100 + 5 * 150 = 850
850   1500 – 850= 650   Answer:650
Answer: E
A board 7ft. 9 inches long is divided into 3 equal parts . What is the length of each part?	Pick:
A) 2ft. 7 inches
B) 4ft. 7 inches
C) 1ft. 7 inches
D) 3ft. 7 inches
E) None of them

Solution: Length of board=7ft. 9 inches=(7*12+9)= 
(7*12+9) = 93
93 inches.   Therefore, Length of each part= (93/3)= 
(93/3) = 31
31 inches= 2ft. 7 inches   2ft. 7 inchesnswer is 2ft. 7 inches.
Answer: A
Renu can do a piece of work in 6 days, but with the help of her friend Suma , she can do it in 5 days. In what time Suma can do it alone?	Choose the correct choice.
A) 10	B) 12	C) 14	D) 15	E) 30

Solution: Renuâ€™s one dayâ€™s work = 1/6   Sumaâ€™s one dayâ€™s work = 1/5 - 1/6 = 1/30   Suma can do it alone in 30 days.   ANSW30R:30
Answer: E
Roycee's club with a total membership of 30 has formed 3 committees, M, S and R which have 8,12, and 5 members respectively. If no member of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees.	Choose one
A) 5 B) 7 C) 8 D) 10 E) 12

Solution: Roycee's club with a total membership of 30 has formed 3 committees, M, S and R which have 8,12, and 5 members respectively.Given no member of committee M is on either of the other 2 committees -- hence (M n R) and (M n S) and (M n R n S) is zero.   Hence only M is 8. Now we need to consider only S, (S n R) and R.   (M U R U S) = M + R + S - (M n R) - (M n S) - (R n S) + (M n R n S) + Neither.   30 = 8 + (12 - x) + (5 - x) + 0 + 0 + x + 0 + Neither.   22 = (12-x) + (5-x) + x + Neither.   Now the max value of x could be 5 and the min value of x could be 0.   When x is 5 (max), Neither is 10.   When x is 0 (min), Neither is 5. We need maximum no of people who do not belong to any group. Hence max value of neither is 10.   Answer 10 (10).
Answer: D
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Select:
A) 20%
B) 30%
C) 15%
D) 10%
E) 35%

Solution: 900---- 180   100---- 20%   20%NSWER 20%
Answer: A
Two musicians, Maria and Perry, work at independent constant rates to tune a warehouse full of instruments. If both musicians start at the same time and work at their normal rates, they will complete the job in 45 minutes. However, if Perry were to work at four Maria’s rate, they would take only 30 minutes. How long would it take Perry, working alone at his normal rate, to tune the warehouse full of instruments? Choices:	A) 1 hr 20 min	B) 1 hr 45 min	C) 1 hr	D) 2 hr 20 min	E) 3 hr

Solution: Sol:   Lets Perry Rate be P and Rate of Maria be M   (rate)*(time)= Work or rate = work/time   first equation=> P+M = 1/45   converting it to hrs P+M= 1/(45/60) => 1/(3/4) =>4/3   second equation => M+4M =>1/30   converting it to hrs 5M=1/(30/60) =>1/(1/2)= 
1/(1/2) = 2
>2   therefore M= 2/5 and P=14/15   Rate of Perry = 14/15   time= work/rate (work = 1 job)   Time ~ 1 hrs   Answer : 1 hr
Answer: C
A person took some amount with some interest for 2 years, but increase the interest for 1%, he paid Rs.110/- extra, then how much amount he took? Choose the correct choice from the following answers:	A) s.5500/-	B) s.6000/-	C) s.4000/-	D) s.7000/-	E) s.8000/-

Solution: Explanation:   2 years = Rs.110/-   year = 110/2   Rate of Interest = 1%   100/1% × 110/2 = Rs.5500/-   P = Rs.5500/-   s.5500/-nswer: Option s.5500/-
Answer: A
The cross-section of a water channel is a trapezium in shape. If the channel is 12 meters wide at the top and 8 meters wide at the bottom and the area of cross-section is 700 square meters, what is the depth of the channel (in meters)?	Choose the correct choice from the following choices
A) 50	B) 60	C) 70	D) 80	E) 90

Solution: 1/2 * d * (12 + 8) = 700   d = 70   The answer is 70.
Answer: C
A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?  Choose the most appropriate option: A) 12003 B) 12000 C) 12002 D) 12022 E) 12023

Solution: [1000 + (X-4000) * (2.5/100)] - X * (5/100) = 600   X = 12000   Answer:12000
Answer: B
Find the surface area of a cuboid 12 m long, 14 m broad and 7 m high  Select.
A) 868 sq.cm	B) 600 sq.cm	C) 700 sq.cm	D) 900 sq.cm	E) None of these

Solution: Explanation:   Surface area = [2 (12 x 14 + 14 x 7 + 12 x 7)] cm2 = (2 x 350)cm2 = 700 cm2.   Answer: 700 sq.cm
Answer: C
The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Choose the correct choice from the following choices:
A) 9%  B) 4%  C) 6%  D) 3%  E) 5%

Solution: 65*(90/100)*((100-x)/100)   = 56.16   x = 4%   Answer:4%
Answer: B
The least number which should be added to 2497, so that the sum is exactly divisible by 5, 6, 4 and 3, is
Choose the correct option.
A) 3  B) 13  C) 23  D) 33  E) 43

Solution: LCM of 5, 6, 4 and 3 = 60   On dividing 2497 by 60, the remainder is 37.   Number to be added = 60 - 37= 
60 - 37 = 23
23   Answer : 23
Answer: C
After MM students took a test, there was a total of 64% of correct answers. If the test contains 50 questions, what is the least number of questions that the next student have to get right to bring the total of correct answers to 70% ? Answers:
A) + 20
B) + 35
C) + 15
D) + 20
E) + 45

Solution: Denote xx as the required number of correct answers. xx must satisfy the equation 0.64∗M∗50+x/50M+50=7/10 or 350M+350=320M+10x or x=3M+35   Answer: + 35
Answer: B
A and B together invested Rs. 20,000 in a business. At the end of the year, out of total profit is Rs. 5,000 B's share was Rs. 2000. A's investment was  Choices:
A) s. 4,500  B) s. 8,250  C) s. 10,500  D) s. 11,250  E) s. 12,000

Solution: A+B=20000   total profit=5000   5000-2000= 
5000-2000 = 3_000
3000   3000;2000=3:2   then   3*20000/5= 
  3*20000/5 = 12_000
12000   ANSWs. 12,000R:s. 12,000
Answer: E
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot? Choose the most appropriate option:  A) 19 m  B) 17 m  C) 18 m  D) 14 m  E) 12 m

Solution: Let the breadth of the plot be b m.   Length of the plot = 3 b m   (3b)(b) = 867   3b2 = 867   b2 = 289 = 172 (b > 0)   b = 17 m.   Answer: 17 m
Answer: B
Nine highschool teachers gather at allocacting the subject, Three subject of 3 people each will be created. How many ways are there to create these 3 teams? Pick one:
A) 45
B) 51
C) 90
D) 175
E) 280

Solution: Arrange the 6 teachers in a straight line in 6! ways.   The first three form team 1, next three form team 2 and last three form team 3. But in each team, the boys are arranged in first, second third positions so you need to un-arrange them by dividing by 3! three times (once for each team). You get 6!/(2! * 2! * 2!)   Also, there are no distinct teams - team1, team2 and team3. You just have three teams. So you also need to un-arrange the three teams by dividing by another 3!.   You get 6!/(2! * 2! * 2!) * 2! = 45   45nswer (45)   You get 6!/(2! * 2! * 2!) * 2!   45nswer : 45
Answer: A
There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle? Choose the correct answer:
A) 65  B) 17  C) 12  D) 18  E) 15

Solution: Let the radii of the larger and the smaller circles be l cm and s cm respectively. Let the side of the square be a cm.   a2 = 784 = (4)(196) = (22).(142)   a = (2)(14) = 28   a = 2l, l = a/2 = 14   l = (7/3)s   Therefore s = (3/7)(l) = 6 Circumference of the smaller circle = 2∏s = 12∏ cm.   Answer: 12
Answer: C
A company has 60 employees, of which 22 studied accounting, 15 studied finance and 14 studied marketing. Nine employees have done just two courses and only one made ​​the three courses. How many employees have no training?
Choose the correct choice from the following options:
A) A)0 B) B)9 C) C)10 D) D)20 E) E)26

Solution: Total employees=60   studied accounting=22   studied finance=15   studied marketing=14   9 employees have been double counted and one employee has been counted thrice.   Therefore employees who have received training=22+15+14-9-(2*1)   =51-11= 
51-11 = 40
40   Employees with no training=60-40= 
60-40 = 20
20   Ans=20
Answer: D
The banker's discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is:
Options:
A) 400
B) 277
C) 268
D) 191
E) 123

Solution: T.D.   =	B.D. x 100   100 + (R x T)   = Rs. 420 x 100   100 + 15 x	1   3   = Rs. 420 x 100   105   = Rs. 400.   400nswer: 400
Answer: A
If a, b, and c are consecutive positive integers and a > b > c, which of the following must be true?
I. c - a = 2
II. abc is an even integer.
III. (a + b + c)/3 is an integer.
Select.
A) I only B) II only C) I and II only D) II and III only E) I, II, and III

Solution: Since a, b, and c are consecutive positive integers and a < b < c, then a = c + 2, from which it follows that c - a = -2. So, I is false.   Next, out of 3 consecutive integers at least 1 must be even, thus abc=even. II is true.   Finally, since b = a + 1, and c = a + 2, then (a + b + c)/3 = (a + a + 1 + a + 2)/3 = a + 1 = integer. III is true as well.   Answer: II and III only.
Answer: D
Can you replace the question mark with the number to complete the series, provided the pair of numbers exhibits a similar relationship?
? : 4623 :: 9 : 647
Answers:
A) ?= 17  B) 18  C) 13  D) 10  E) 20

Solution: ?= 17   17   The relationship holds for below formula :   pow(x,3) - pow(x,2) - 1   => 9*9*9 - 9*9 - 1   => 729 - 81 - 1= 
729 - 81 - 1 = 647
> 647   Similarly,   17*17*17 - 17*17 - 1=> 4913 - 289 - 1= 
4913 - 289 - 1 = 4_623
> 4623
Answer: A
How many words can be formed from the letters of the word ‘DIRECTOR’
So that the vowels are always together?  Choose the correct choice from the following
A) 360  B) 60  C) 36  D) 2160  E) 2010

Solution: In the given word, we treat the vowels IEO as one letter.   Thus, we have DRCTR (IEO).   This group has 6 letters of which R occurs 2 times and others are different.   Number of ways of arranging these letters = 6!/2! = 360.   Now 3 vowels can be arranged among themselves in 3! = 6 ways.   Required number of ways = (360x6) = 2160.   ANSWER 2160 2160
Answer: D
Becky sets up a hot dog stand in her busy neighborhood and purchases x pounds of hot dogs for t dollars per pound. If she has to throw away s pounds of hot dogs due to spoilage and she sells the rest of the hot dogs for d dollars per pound, which of the following represents the net profit on the sale of the hot dogs?
Choose the correct choice from the following options:	A) (x – s)t – sd	B) xt – (xd – sd)	C) xd – st	D) (x – s)d – xt	E) (s – t)d – xt

Solution: Answer D:   The amount of hotdogs she can sell is x-s. The price per pound is d, so the revenue is (x-s)d. The total costs are x time t, so the profit is (x-s)d-xt.
Answer: D
For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 1 order of $300 ?	Choose one:	A) $1	B) $2	C) $3	D) $4	E) $5

Solution: Total cost involved for each 75 $ shipment:  3+2= 
 3+2 = 5
5 $. Thus, for two such orders= 10$   Total cost involved for a 300$ shipment: 3+3= 
3+3 = 6
6$.   The difference= 4$.   $4.
Answer: D
Which is the middle even number between 9 and 23?  Select:	A) 14	B) 16	C) 18	D) 20	E) 22

Solution: (a+l)/2   here a=9,b=23=>ans=16   ANSWER:16
Answer: B
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Select.
A) 87
B) 69
C) 40
D) 72
E) 21

Solution: Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec   Total distance = 360+140= 
360+140 = 500
500 meter   Time= Distance/speed   = 500 * (2/25)= 
500 * (2/25) = 40
40 seconds   Answer: 40
Answer: C
Ramesh can finish a work in 20 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work?  Select
A) 22  B) 11  C) 77  D) 88  E) 12

Solution: (5 + x)/20 + 5/25 = 1 => x = 11 days   Answer: 88
Answer: D
If 32455 × 3145208 × K^3 is divisible by 3, which of the following could be the value of K?  Choose one.
A) 27	B) 10	C) 34	D) 11	E) 9

Solution: The first two terms are not divisible by 3, so we need the third term to be divisible by 3. The only way that (k^2) is going to be a multiple of 3 is if k is a multiple of 3. Therefore, we need the single answer that is a multiple of 3.   27nswer =(27)
Answer: A
A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per liter of petrol if he spends Rs. 4000 each year?	Answers
A) Rs. 7.98 B) Rs. 9.98 C) Rs. 10 D) Rs. 11 E) Rs. 12

Solution: Total quantity of petrol   consumed in 3 years   = 4000	+	4000	+	4000 litres   7.50	8	8.50   = 4000 2	+	1	+	2 litres   15	8	17   = 76700 litres   51   Total amount spent = Rs. (3 x 4000) = Rs. 12000.   Average cost = Rs. 12000 x 51 = Rs.	6120 = Rs. 7.98   76700	767   Rs. 7.98)
Answer: A
The markup on a box of apples is 10 percent of the cost. The markup is what percent of the selling price?
(markup = selling price - cost) Options:  A) 9.09 %  B) 10%  C) 12 1/2%  D) 15%  E) 16 2/3%

Solution: MP = 0.1 CP   SP = CP + 0.1 CP = 1.1 CP   hence MP = 0.1/1.1 SP = 1/1 SP. Hence MP is 9.09 % of SP   9.09 %nswer 9.09 %
Answer: A
The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Choose one: A) 22 B) 75 C) 44 D) 28 E) 12

Solution: S = (90 + 60)/2= 
(90 + 60)/2 = 75
75 kmph   Answer: 75
Answer: B
A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17thinnings? Options:
A) 32 B) 29 C) 30 D) 37 E) 12

Solution: 16x + 85 = 17(x + 3)   x = 34 + 3= 
34 + 3 = 37
37   Answer:37
Answer: D
The maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is:  Pick
A) 91	B) 910	C) 1001	D) 1911	E) None of these

Solution: Explanation:   Required number of students = H.C.F of 1001 and 910 = 91. 91nswer: 91
Answer: A