MU-NLPC/Calc-aqua_rat huggingface dataset:
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?  Choose the correct choice from the following answers.
A) 2.89  B) 2.88  C) 2.89  D) 2.82  E) 2.12

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
Anthony and Cindy were each given X dollars in advance for each day they were expected to perform at a community festival. Anthony eventually performed on all 15 days of the festival, while Cindy performed on 5 fewer days than Anthony performed. If Cindy gives Anthony y dollars of her advance payment so that they would have each received the same daily rate, what was Anthony paid in advance, in terms of Y? Choose the correct choice from the following answers.
A) 6Y	B) 10Y	C) 8Y	D) 5Y	E) 7Y

Solution: Both of them were given X $ each   Cindy to adjust Y $ in advance to Anthony   So Cindy now has (X-Y)$ and Anthony has (X+Y) $ such that their daily rate becomes same   So Rate of CIndy= Rate of Anthony   Also , Cindy works for 10 days and ANthony works for full 15 days   (X-Y) / 10 = (X+Y) / 15   Solving 15x-15y=10x+10y =>5x=25y => x=5y   X= 5Y   Answer : 5Y
Answer: D
Last year Department Store X had a sales total for December that was 2 times the average (arithmetic mean) of the monthly sales totals for January through November. The sales total for December was what fraction of the sales total for the year?
Choose the correct choice from the following choices
A) 1/4
B) 4/15
C) 2/13
D) 4/11
E) 4/5

Solution: Let avg for 11 mos. = 10   Therefore, Dec = 20   Year total = 11*10 + 20= 
11*10 + 20 = 130
130   Answer= 20/130 = 2/13 = 2/13
Answer: C
The area of a rectangular field is equal to 750 square meters. Its perimeter is equal to 110 meters. Find the width of this rectangle.	Select:
A) 5
B) 10
C) 15
D) 20
E) 25

Solution: L * W = 750 : area , L is the length and W is the width.   2 L + 2 W = 110 : perimeter   L = 55 - w : solve for L   (55 - W) * W = 750 : substitute in the area equation   W = 25 and L = 30   correct answer 25
Answer: E
A number is said to be a “digifac” if each of its digits is a factor of the number itself. What is the sum M of the missing digits of the following five-digit digifac: 9, 5, 3 _ _ ?	Choose the correct choice
A) 5  B) 7  C) 9  D) 10  E) 14

Solution: Here, the term “digifac” should look intimidating. You probably haven’t studied digifacs before, so how should you approach this problem? Well, keep in mind that digifacs aren’t being tested; in fact, the author of this question just made that term up, and then defined it for you. What makes this question hard is that the non-challenge-seeker (I think I just made that term up, too…) will see the unfamiliar term “digifac” and lose faith immediately. “I don’t know what that is!” She who finds the challenge in the GMAT fun, however, will read the definition and think “got it – I need to find the two digits that ensure that 9, 5, and 3 are both factors of the overall number, and that the remaining two digits are also factors”. And work from there. The number must be divisible by 5, so the only units digits that work are 0 or 5. And the number must be divisible by 9 (and also 3), so we need the sum M of all digits to be a multiple of 9. 9 + 5 + 3 = 17, so our only options are to get the sum to 18 (by adding 1) or to 27 (by adding 10). A quick glance at the answer choices shows that 0 1 isn’t an option. Why not? That would require 0 to be one of the digits…and 0 isn’t a factor of anything. So the units digit must be 5, making the tens digit 5, and we have 95,355. That number is a multiple of 5, 3, and 9, so it works:the correct answer is 10, and more importantly this fun challenge required no “trivial” information about digifacs…that term only existed to obscure the link between the given information and the path to the answer.10
Answer: D
The food in a camp lasts for 35 men for 40 days. If ten more men join, how many days will the food last?	Choose the correct choice: A) 40 days B) 20 days C) 31 days D) 50 days E) 45 days

Solution: one man can consume the same food in 35*40= 
35*40 = 1_400
1400 days.   10 more men join, the total number of men= 45   The number of days the food will last = 1400/45 = 31 days.   ANSWER:31 days
Answer: C
If an amount of Rs 42,240 is distributed equally
amongst 22 persons, how much amount would each
person get? Choose one:
A) Rs 1905
B) Rs 1920
C) Rs 745
D) Rs 765
E) None

Solution: Required amount =42240/22= 
42240/22 = 1_920
Rs 1920   Answer Rs 1920
Answer: B
A 160 meter long train crosses a man standing on the platform in 18 sec. What is the speed of the train?  Choose the correct option:
A) 96 kmph	B) 94 kmph	C) 32 kmph	D) 56 kmph	E) 76 kmph

Solution: S = 160/18 * 18/5= 
160/18 * 18/5 = 32
32 kmph   ANSWER:32 kmph
Answer: C
If negative integers k and p are NOT both even, which of the following must be odd?
Choose the correct choice from the following answers:
A) kp	B) 4(k + p)	C) k – p	D) k + 1 – p	E) 2(k + p) – 1

Solution: If negative integers k and p are NOT both even, which of the following must be odd?   (A) kp --> can be even if either k or p is even.   (B) 4(k + p) --> always even.   (C) k – p --> can be even as well as odd. For example consider k-p=odd-odd=even and k-p=odd-even=odd.   (D) k + 1 – p --> can be even as well as odd. For example consider, k+1-p=odd+odd-odd=odd and k+1-p=odd+odd-even=even.   (E) 2(k + p) – 1 --> always odd, because: 2(k+p)-1=2*integer-odd=even-odd=odd.   Answer: 2(k + p) – 1.
Answer: E
Difference between the length &breadth of a rectangle is 30 m. If its perimeter is 300 m, then its area is?? We have: (l - b) = 30 and 2(l + b) = 300 or (l + b) = 150?
Choose the correct option: A) 5425 m^2 B) 5250 m^2 C) 5300 m^2 D) 5200 m^2 E) 5400 m^2

Solution: Solving the two equations, we get: l = 90 and b = 60.   Area = (l x b) = (90 x 60) m2 = 5400 m^2   5400 m^2
Answer: E
An athlete runs 200 metres race in 24 seconds. What is his speed?  Pick.
A) 20 km/hr
B) 30 km/hr
C) 25 km/hr
D) 27.5 km/hr
E) None of these

Solution: Explanation:   Speed = Distance/Time = 200/24 m/s=200/24 × 18/5 km/hr   = 40×34 km/hr = 10×3 km/hr = 30 km/hr   Answer: Option 30 km/hr
Answer: B
A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg? Choose the correct choice from the following:	A) 72	B) 27	C) 40	D) 28	E) 20

Solution: 800*(25/100)= 
800*(25/100) = 200
200 ---- 5   ? ---- 1=> Rs.40   Answer:40
Answer: C
A train crosses a bridge of length 2500 m in 120 seconds and a lamp post on the bridge in 30 seconds. What is the length of the train in metres ?  Choose the correct choice from the following choices:  A) 375 m  B) 750/3 m  C) 2500/3 m  D) 800 m  E) 300 m

Solution: Let Length of Train = L   Case-1: Distance = 2500+L (While crossing the bridge)   Time = 120 Seconds   i.e. Speed = Distance / Time = (2500+L)/120   Case-2: Distance = L (While passing the lamp post)   Time = 30 Seconds   i.e. Speed = Distance / Time = (L)/30   But Since speed has to be same in both cases so   (2500+L)/120 = (L)/30   i.e. 4L = 2500 + L   i.e. 3L = 2500   i.e. L = 2500/3   Answer: option 2500/3 m
Answer: C
Tough and Tricky questions: Combinations.
Eight students - 4 boys and 4 girls - are to sit side by side for a makeup exam. How many ways could they arrange themselves given that no two boys and no two girls can sit next to one another? Select the correct option:
A) 12	B) 36	C) 72	D) 240	E) 1152

Solution: We can have 2 arrangements:   BGBGBGBG or GBGBGBGB   4!*4!*2 = 24*24*2= 
24*24*2 = 1_152
1152 ways.   Ans. 1152) 1152
Answer: E
In what time will a railway train 60 m long moving at the rate of 54 kmph pass a telegraph post on its way?
Options
A) 4 sec	B) 7 sec	C) 2 sec	D) 6 sec	E) 9 sec

Solution: T = 60/54 * 18/5= 
60/54 * 18/5 = 4
4 sec   4 secnswer:4 sec
Answer: A
A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water? Choose the correct option
A) 1 hr 15 min  B) 1 hr 30 min  C) 1 hr  D) 2 hr  E) 2 hr 30 min

Solution: Upstream speed = u-v;   Downstream speed=u+v;.   According to formula, s=d/t.   u-v = 2/1, and   u+v = 60/10.   On solving these equations, we get.   u=4 and v=2.   Therefore, speed of boatman = 4 km/hr.   Hence, t=d/s.   t=5/4.   We get 1hr 15min is answer.   answer:1 hr 15 min
Answer: A
A train 90 meters long completely crosses a 270-meter long bridge in 36 seconds. What is the speed of the train in km/h? Choose the correct option.
A) 28 km/h	B) 32 km/h	C) 36 km/h	D) 40 km/h	E) 44 km/h

Solution: speed = distance / time = (90 + 270)/36 = 360/36 (m/s) * 3600/1000 = 36 km/h   The answer is 36 km/h.
Answer: C
36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work? Choose the correct choice from the following answers
A) 26 B) 22 C) 12 D) 24 E) 20

Solution: Explanation:   Let the required number of days be x   More men, less days (indirect proportion)   Hence we can write as   (men) 36 : 27 :: x : 18   ⇒36×18=27 × x   ⇒12×18=9 × x   ⇒12×2=x   ⇒x=24   Answer: Option 24
Answer: D
In your classes you counted 122 hands. How many students were at the class? Choose the most appropriate option:
A) 60  B) 61  C) 85  D) 86  E) 88

Solution: Total number of hands = 122   We have 2 hands.   To find how many students were at the class, divide the total number of hands by the number of hands we have.   We get, divide 122 by 2   122 ÷ 2 = 61   Therefore, there were 61 students at the class.   ANSWER IS 61
Answer: B
The distance between West-Town to East-Town is 20 kilometers. Two birds start flying simultaneously towards one another, the first leaving from West-Town at a speed of 4 kilometers per minute and the second bird, leaving from East-Town, at a speed of 1 kilometers per minute. What will be the distance, in kilometers, between the meeting point and West-Town?	Choose the correct choice from the following answers.
A) 3. B) 7. C) 10. D) 16. E) 15.

Solution: Time taken by the birds to meet = 20/(4 + 1)= 
20/(4 + 1) = 4
4 mins   16.istance traveled by the bird traveling from West-Town= 4 *4= 
4 *4 = 16
16   Answer: 16.
Answer: D
In how many different number of ways 4 boys and 2 girls can sit on a bench?  Choose the correct choice
A) 700
B) 710
C) 720
D) 730
E) 740

Solution: npn = n!   6p6 = 6 × 5 × 4 × 3 × 2 × 1 = 720   720
Answer: C
Two sides of a triangle have lengths x and w and meet at a right angle. If the perimeter of the triangle is 4x, what is the ratio of x to w ?	Options:	A) a) 2 : 3	B) b) 3 : 4	C) c) 4 : 3	D) d) 3 : 2	E) e) 2 : 1

Solution: Ahhhh....my bad. Thank you, you're correct. 8x = 6w --> x/w = 3/4.   Actually b) 3 : 4 is the right answer.
Answer: B
In how many ways, a committee of 10 members can be selected from 8 men and 6 ladies, consisting of 5men and 5 ladies?  Choose one: A) 336 B) 298 C) 315 D) 283 E) 159

Solution: (5 men out 8) and (5 ladies out of 6) are to be chosen   Required number of ways = (8C5 * 6C5) = 336   336nswer is 336
Answer: A
Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 3 o’clock the faster train is 15 miles behind the slower one. How far apart are the two trains at 5 o'clock? Choose the correct option
A) 45 miles  B) 80 miles  C) 90 miles  D) 120 miles  E) 400 miles

Solution: Answer = A. 45 miles   Relational speed = 130 - 100= 
130 - 100 = 30
30 miles per hour   In 2 hours, difference= 30 * 2= 
30 * 2 = 60
60 miles   Fast train trailing 15 miles, so effective difference= 60 - 15= 
60 - 15 = 45
45 miles
Answer: A
If m and n are whole numbers such that mn = 121, the value of (m – 1)n + 1 is:  Select:	A) 1	B) 10	C) 121	D) 1000	E) 131

Solution: EXPLANATION   We know that 112 = 121.   Putting m = 11 and n = 2, we get:   (m – 1)n + 1 = (11 – 1)(2 + 1) = 10(3) = 1000.   Answer 1000
Answer: D
What is the remainder when 123456789101112131415161718192021222324252627282930313233343536373839404142434481 is divided by 45? Select
A) 26 B) 36 C) 16 D) 06 E) 40

Solution: Explanation :   Let's call : A = 123456789101112131415161718192021222324252627282930313233343536373839404142434481   => A = B * 100 + 81 [with B = 1234567 ..... 424344]   We have:   B x 100 is divisible by 45   Because:   - Sum of all digits in B   = 1+2+3 + .... +44 = (1+44) + (2+43) + ....+ (22+23) (22 pairs)   = 22*45 => 36 divisible for 9   Since 36 is divisible by 9, 36 * 100 will be divisible by  9*5= 
 9*5 = 45
45   81 divided 45 gives a remainder of 36   Therefore, A divided by 45 reminder 36   Answer : 36
Answer: B
Abel can complete a work in 8 days, Ben in 12 days and Carla in 15 days. All of them began the work together, but Abel had to leave after 2 days and Ben 3 days before the completion of the work. How long did the work last? Pick one: A) 4 B) 7 C) 8 D) 9 E) 10

Solution: Abel in the 2 days that he worked completed 1/4 of the job = 3/4 remains   Then if Ben had to leave 3 days before the completion, this means that Carla had to work alone for these 3 days in which she completed 1/5 of the job.   Now together, Ben and Carla completed the job in (1/12 + 1/15)(t) = 3/20   3/20 (t) = 3/20 ---> t = 1   Therefore, these 1 day worked plus the 3 days that Carla had to work by herself add to 4 days   4nswer: 4
Answer: A
The diameter of a wheel of cycle is 21 cm. It moves slowly along a road. How far will it go in 500 revolutions?  Choose the correct choice from the following answers
A) 260 m	B) 290 m	C) 320 m	D) 330 m	E) 380 m

Solution: In revolution, distance that wheel covers = circumference of wheel 330 miameter of wheel = 21 cm   Therefore, circumference of wheel = πd   = 22/7 × 21   = 66 cm   So, in 1 revolution distance covered = 66 cm   In 500 revolution distance covered = 66 × 500 cm   = 33000 cm   = 33000/100= 
33000/100 = 330
330 m   Answer : option 330 m
Answer: D
The value of 1 + [1/(8 x 2)] + [1/(8 x 2²)] + [1/(8 x 2³)] is :	Choose one
A) 71/64 B) 1/16 C) 1/4 D) 1/3 E) None of these

Solution: (8 x 2³ + 2² + 2 + 1)/(8 x 2³) = (64 + 4 + 2 + 1)/ 64   = 71/64.   71/64NSWER:71/64
Answer: A
How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?	Choose the correct choice from the following answers
A) 5 B) 10 C) 51 D) 15 E) 20

Solution: Since each desired number is divisible by 5, so we must have 5 at the unit place. So, there is 1 way of doing it.   The tens place can now be filled by any of the remaining 5 digits (2, 3, 6, 7, 9). So, there are 5 ways of filling the tens place.   The hundreds place can now be filled by any of the remaining 4 digits. So, there are 4 ways of filling it.   Required number of numbers = (1 x 5 x 4) = 20.   Option 20
Answer: E
A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.714 find the share of A.  Choose the correct choice from the following
A) 240	B) 272	C) 379	D) 277	E) 122

Solution: Explanation:   (3*8 + 2*4):(4*8 + 5*4)   8:13   8/21 * 714= 
8/21 * 714 = 272
272   Answer: 272
Answer: B
The average mark of a class of twenty five students is 66. If five students whose marks are 32,28, 30, 26 and 34 are removed , then find the average mark of the remaining students of the class. Choose the correct choice from the following answers:
A) 75 B) 74 C) 57 D) 70 E) 80

Solution: Exp. Total mark of 25 students = 66*25= 
66*25 = 1_650
1650,   Total mark after the removal of 5 students= 1650 –(32 +28+30+26+34 )   = 1650 – 150 = 1500   75verage mark = 1500/(25-5) = 1500/ 20= 
1500/ 20 = 75
75   75nswer: 75
Answer: A
If 40% of a number is 28, then the number is  Choose the correct choice from the following options
A) number is 60
B) number is 70
C) number is 90
D) number is 80
E) None of these

Solution: Solution:   Let "a" be the number we seek. We get   40% × a = 28   2 × 40% × a = 2 × 28 = 56   80% × a = 56   10% × a = 56 : 8 = 7   100% × a = 7 × 10 = 70   a = 70   Answer number is 70
Answer: B
A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make? Choose the correct choice from the following answers.
A) 20.97	B) 20.98	C) 90.97	D) 20.95	E) 20.91

Solution: 81 ---- 17   100 ----- ? è   20.98%loss   Answer: Option 20.98   Explanati20.98
Answer: B
In the city of San Durango, 90 people own cats, dogs, or rabbits. If 30 people owned cats, 30 owned dogs, 50 owned rabbits, and 14 owned exactly two of the three types of pet, how many people owned all three?  Pick.
A) 1  B) 2  C) 3  D) 4  E) 5

Solution: Total = 3 + D + R - (3D + DR + 3R) - 23DR   90 = 30 + 30 + 50 - (14) - 2x   x = 3   So, answer will be 3
Answer: C
If the speed of X inch per second is equivalent to the speed of Y foot per hour, what is Y in terms of X? (1 foot =12 inch) Choose the correct choice from the following answers: A) 120X B) 240X C) 360X D) 300X E) 100x

Solution: X inch per second -->   --> 3,600X inch per hour(as there are 3,600 seconds in one hour);   --> 3,600X/12 = 300X foot per hour (as there are 12 inches in one foot).   Answer: 300X.
Answer: D
The two lines y=x and x=-7 intersect on the coordinate plane. What is the value of the area of the figure formed by the intersecting lines and the x-axis? Choose the correct choice
A) 18.5 B) 21.5 C) 24.5 D) 27.5 E) 30.5

Solution: The point of intersection is (-7,-7).   The triangle has a base of length 7 and a height of 7.   area = (1/2)*base*height = (1/2)*7*7= 
(1/2)*7*7 = 49/2 = around 24.5
24.5   The answer is 24.5.
Answer: C
Which of the following is between 53/70 and 5/6?  Choose the correct choice from the following
A) 1/3  B) 3/8  C) 1/2  D) 5/8  E) 7/9

Solution: I see this as a POE (Process of Elimination) and Ballparking (Estimation) question. Not sure if this is the most efficient, but it worked:   1) I estimate 53/70 to be ~3/4+ (approximately slightly greater than 3/4)   2) I estimate 5/6 to be ~4/5+ (approximately slightly greater than 4/5)   3) So now I'm looking for an answer choice that is .75 < x < .80   It should be pretty easy to identify which answer choices are less than .75 (or 3/4) if you have had practice with fractions.   A) clearly wrong - it's less than 3/4   B) also clearly wrong - it's less than 3/4   C) also clearly wrong - it's less than 3/4   D) also clearly wrong - it's less than 3/4   I would just stop here and select E. But to verify:   7/9) 7/9 ~ .77 which is greater than .75 and less than .80
Answer: E
What is the least number should be added to 1056, so the sum of the number is completely divisible by 28?	Pick one
A) 1  B) 2  C) 3  D) 4  E) 8

Solution: (1056 / 28) gives remainder 20   20 + 8= 
20 + 8 = 28
28, So we need to add 8   8
Answer: E
What will come in place of the question mark (?) in the following question?
112.36 + 225.05 + ? = 815.30  Choose the most appropriate option:
A) 474.46  B) 477.89  C) 524.41  D) 564.40  E) None of these

Solution: Explanation:   815.30 - ( 112.36 + 225.05) = ?   = 477.89   ANSWER: 477.89
Answer: B
An amount of Rs. 65000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?	Choose the correct choice from the following options
A) s. 52500; Rs. 47500 B) s. 40625; Rs. 24375 C) s. 72500; Rs. 27500 D) s. 82500; Rs. 17500 E) s. 72500; Rs. 17500

Solution: Let the sum invested at 9% be Rs. x and that invested at 11% be Rs. (65000 - x). Then,   (x * 9 * 1)/100 + [(65000 - x) * 11 * 1]/100 = (65000 * 39/4 * 1/100)   (9x + 715000 - 11x)/100 = 39000/4 = 12675/2   x = 40625   Sum invested at 9% = Rs. 40625   Sum invested at 11% = Rs. (65000 - 40625) = Rs. 24375.   ANSWER:s. 40625; Rs. 24375
Answer: B
Ajith and Rana walk around a circular course 115 km in circumference, starting together from the same point. If they walk at speed of 4 and 5 kmph respectively, in the same direction, when will they meet ?
Choose the correct choice from the following answers.
A) after 20 hours
B) after 115 hours
C) after 115 minutes
D) after 20 minutes
E) after 30 minutes

Solution: Rana is the faster person. He gains 1 km in 1 hour. So Rana will gain one complete round over   Ajith in 115 hours. i.e. they will meet after 115 hours.   ANSWER:after 115 hours
Answer: B
How much time will take for an amount of Rs. 360 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Choose the correct option.
A) 5 years  B) 6 years  C) 7 years  D) 12 years  E) 15 years

Solution: Time = (100 * 81) / (360 * 4.5)= 
(100 * 81) / (360 * 4.5) = 5
5 years   5 yearsNSWER:5 years
Answer: A
The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher	Options.
A) 34 Years  B) 37 Years  C) 49 Years  D) 51 Years  E) 57 Years

Solution: Total age of students is 32X16 = 512 Years   Total age inclusive of teacher = 33X (16+1) = 561   So, Teacher's age is 561-512= 
561-512 = 49
49 Yrs   There is a shortcut for these type of problems   Teacher's age is 16+(33X1)= 49 Years   49 Years
Answer: C
In a family 7 children dont eat spinach, 6 dont eat carrot, 5 dont eat beans, 4 dont eat spinach & carrots, 3 dont eat carrot & beans, 2 dont eat beans & spinach. One doesnt eat all 3. Find the no. of children.	Choose the correct choice from the following:	A) 9	B) 10	C) 11	D) 12	E) 13

Solution: do not spinach only=2   do not carrot only=0   do not beans only=1   do not spinach & carrots only=3   do not beans & carrots only=2   do not spinach & beans only=1   do not all three=1   total 10 children(2+0+1+3+2+1+1)   ANSWER:10
Answer: B
To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced. Find how many parts the company made and how many days this took. Options:
A) 530
B) 675
C) 330
D) 987
E) 854

Solution: Let x e the number of days the company worked. Then 25x is the number of parts they planned to make. At the new production rate they made:   3⋅25+(x−3)⋅30=75+30(x−3)   Therefore: 25x=75+30(x−3)−100   25x=75+30x−90−100   190−75=30x−25   115=5x   x=23   So the company worked 23 days and they made 23⋅25+100=675 pieces.
Answer: B
A boy has six trousers and 13 shirts. In how many different ways can he select a trouser and a shirt?	Choose the correct choice from the following choices
A) 238 ways B) 87 ways C) 66 ways D) 78 ways E) 121 ways

Solution: Explanation:   The boy can select one trouser in six ways.   The boy can select one shirt in 13 ways.   The number of ways in which he can select one trouser and one shirt is   6 * 13= 
  6 * 13 = 78
78 ways.   Answer: 78 ways
Answer: D
A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?  Choose the correct choice
A) 45 B) 60 C) 75 D) 90 E) None

Solution: Let number of notes of each denomination be x.   Then x + 5x + 10x = 480   16x = 480   x = 30.   Hence, total number of notes = 3x = 90.   Answer 90
Answer: D
From a group of boys and girls, 15 girls leave. There are then left 2 boys for each girl. After this, 45 boys leave. There are then 5 girls for each boy. Find the number of girls in the beginning?
Select the correct option:  A) 40  B) 10  C) 50  D) 30  E) 20

Solution: Let at present there be x boys.   Then, no of girls at present=5x   Before the boys had left: no of boys=x+45   40nd no of girls=5x   X+45=2*5x   9x=45   x=5   no of girls in the beginning=25+15= 
25+15 = 40
40   40nswer is 40
Answer: A