MU-NLPC/Calc-aqua_rat huggingface dataset:
Sunil invested $ 2200 fir 2 years and $ 2100 for 3 years at the same rate of Simple Interest. If the total interest from these investments is $ 1400, what is the rate of interest?	Options.
A) 12 3/4%
B) 12 %
C) 13 %
D) 16%
E) 13 2/4%

Solution: (2200x2xR)/100+(2100x3xR)/100=1400   107R=1400   R= 13 %   Answer is 13 %
Answer: C
If two dice are thrown together, the probability of getting an even number on both dice is  Choose one:	A) 1/4	B) 1/5	C) 1/6	D) 1/3	E) 1/2

Solution: The number of exhaustive outcomes is 36.   Let E be the event of getting an even number on both dies is 9/36 = 1/4   P(E) = 1/4.   1/4)
Answer: A
At a particular graduation party with 300 guests, 70% of the guests brought gifts, and 40% of the female guests brought gifts. If 30 males did not bring gifts to the party, how many females did bring gifts? Select the correct option:  A) 18  B) 28  C) 40  D) 68  E) 70

Solution: the correct method   total = 300..   70% of 300 = 210 got gifts..   90 did not get gift, out of which 30 are males, so remaining   90-30= 
  90-30 = 60
60 are females..   But 40% females brought gift, so 60% did not get it..   so 60%= 60, 100%= 60*100/60= 
60*100/60 = 100
100.   ans 40% of 100=40   40
Answer: C
In a exam there are 26 number of question. For one write question add 8 marks and for one wrong 5 marks subtract. One candidate answered all questions. His marks is 0. How many answers was correct?  Choices:
A) 9	B) 10	C) 11	D) 12	E) 13

Solution: let no. of right ques be x,   then no. of wrong ques will be= 26 - x   now, according to ques   8x - (26-x)5 = 0,   hence x=10...no. of right ques is 10   ANSWER:10
Answer: B
Five bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 seconds respectively. In 20 minutes, how many times do they toll together?
Pick one:
A) 11  B) 10  C) 15  D) 16  E) 17

Solution: L.C.M of 2,4,6,8,10 is 240. i.e after each 2 min they will toll together.So in 20 min they will toll 10 times.As they have initially tolled once,The answer will be  10+1= 
 10+1 = 11
11.   11NSWER:11
Answer: A
X, Y and Z are inner angles in a triangle. If X= Y+ Z, what can't be the size of Y?
Choices:
A) 30 DEGREES	B) 90 DEGREES	C) 60 DEGREES	D) 70 DEGREES	E) 950 DEGREES

Solution: Given X= Y+ Z, and X, Y and Z are inner angles in a triangle. Thus X+ Y+ Z= 180   Y+ Z+ Y+ Z= 180 => 2(Y+ Z) = 180 => Y+ Z= 90. Thus Y will be less than 90.   Hence the answer is 90 DEGREES.
Answer: B
Fathers age is 5 times his son’s age. 4 years back the father was 9 times older than son.Find the fathers’ present age.  Choose one
A) 40 years  B) 33 years  C) 22 years  D) 33 years  E) 44 years

Solution: Ans. 40 years
Answer: A
A little boy is flying a kite. The string of the kite makes an angle of 30o with the ground. If the height of the kite is h = 24 m, find the length (in meters) of the string that the boy has used. Select the correct option:
A) 56  B) 28  C) 48  D) 24  E) 26

Solution: Answer: 48
Answer: C
Think of a number, divide it by 5 and add 23 to it. The result is 42. What is the number thought of? Choices:
A) 24 B) 77 C) 297 D) 267 E) 95

Solution: 95xplanation :   42-23= 
42-23 = 19
19   19 x 5= 95   Answer : 95
Answer: E
The angles of a triangle are in the ratio 3: 6 : 1. Find the measurement of the 3 angles of triangle.	Select
A) 108° B) 24° C) 58° D) 18° E) 54°

Solution: If the ratio of the three angles is 3:6:1, then the measures of these angles can be written as 3x, 6x and x. Also the sum of the three interior angles of a triangle is equal to 180°. Hence   3x + 6x + x = 180   Solve for x   10x = 180   x =18   The measures of the three angles are   3x =3 x18=54°   6x = 6 × 18= 108°   x = 1 × 18 = 18°   18°
Answer: D
The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned.	Pick:
A) Rs.18,828.80 B) Rs.19,828.80 C) Rs.18,028.80 D) Rs.17,828.80 E) None of these

Solution: Let the sum be Rs.P   P{ [ 1 + 8/100]2 - 1 } = 2828.80   P(8/100)(2 + 8/100) = 2828.80 [a2 - b2 = (a - b) ( a + b)] P = 2828.80 / (0.08)(2.08) = 1360/0.08= 
1360/0.08 = 17_000
17000 Principal + Interest= Rs. 19828.80   ANSWER:Rs.19,828.80
Answer: B
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 400 resolutions?  Answers:	A) 708 m	B) 704 m	C) 774 m	D) 714 m	E) 563.2 m

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 500 resolutions.   = 400 * 2 * 22/7 * 22.4= 
400 * 2 * 22/7 * 22.4 = 56_320
56320 cm= 563.2 m   Answer:563.2 m
Answer: E
A wheel of a car of radius 21 cms is rotating at 700 RPM. What is the speed of the car in km/hr?
Choose the most appropriate option
A) 79.2 km/hr
B) 55.44 km/hr
C) 7.92 km/hr
D) 39.6 km/hr
E) 3.96 km/hr

Solution: Explanatory Answer   The radius of the wheel measures 21 cm.   In one rotation, the wheel will cover a distance which is equal to the circumference of the wheel.   ∴ in one rotation this wheel will cover 2 * π * 21 = 132 cm.   In a minute, the distance covered by the wheel = circumference of the wheel * rpm   ∴ this wheel will cover a distance of 132 * 700= 
132 * 700 = 92_400
92400 cm in a minute.   In an hour, the wheel will cover a distance of 92400 * 60= 
92400 * 60 = 5_544_000
5544000 cm.   Therefore, the speed of the car= 5544000 cm/hr = 55.44 km/hr   Choice 55.44 km/hr is the correct answer.
Answer: B
At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D?
Choose the most appropriate option:	A) 90%	B) 88%	C) 80%	D) 90%	E) 84%

Solution: A B 80% D   90 100 80 100   A D   90 ----- 100   360 ------ ? = 400   500 ------ 400   100 ------- ? => 80%   Answer:80%
Answer: C
What will be the compound interest on a sum of Rs. 20,000 after 3 years at the rate of 12% p.a.?
Choose the correct answer
A) Rs. 8098.56  B) Rs. 9720  C) Rs. 10123.20  D) Rs. 10483.20  E) None

Solution: Amount = [20000 * (1 + 12/100)^3]   = 20000 * 28/25 * 28/25 * 28/25 = Rs. 28098.56   C.I. = (28098.56 - 20000) = Rs. 8098.56   Rs. 8098.56NSWER:Rs. 8098.56
Answer: A
How many minutes does it take John to type y words if he types at the rate of v words per minute?  Choose one: A) x/y B) y/v C) xy D) 60x/y E) y/(60x)

Solution: time*rate=job --> time*v=y --> time=y/v.   Answer: y/v.
Answer: B
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B at 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is?  Choose the most appropriate option.
A) 181  B) 197  C) 120  D) 123  E) 179

Solution: Let speed of the car be x km/hr.   Then, speed of the train = 150/100 x = 3/2 x km/hr.   75/x - 75/(3/2 x) = 125/(10 * 60)   75/x - 50/x = 5/24 = 120 km/hr.   Answer:120
Answer: C
In the xy-coordinate plane, the graph of y = -x^2 + 4 intersects line L at (p,5) and (t,-7). What is the least possible value of the slope of line L? Choose the correct choice from the following answers:
A) 6
B) 2
C) -4
D) -6
E) -10

Solution: We need to find out the value of p and L to get to the slope.   Line L and Graph y intersect at point (p,5). hence, x= p and Y=5 should sactisfy the graph. soliving   5 = -p2 +4   p2 = 1   p = + or - 1   simillarly point (t,-7) should satisfy the equation. hence x=t and Y=-7.   -7 = -t2+9   t = +or - 4   considering p = -2 and t =4, the least slope is (-7-5)/(4-1) = -4   IMO option -4 is correct answer.
Answer: C
Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Choices:
A) 9268	B) 9261	C) 9262	D) 9242	E) 9266

Solution: A = 8000(21/20)3 = 9261   Answer: 9261
Answer: B
Two friends want to buy a snack. They combine their money and find they have $3.80, consisting of quarters, dimes, and nickels. If they have 34 coins and the number of quarters is half the number of nickels, how many quarters do they have?  Pick:
A) 7
B) 8
C) 9
D) 10
E) 11

Solution: Let x be the number of quarters. Then 2x is the number of nickels.   (1) 25x + 10x + 10D = 380. Then 7x + 2D = 76   (2) 3x + D = 34. Then 6x + 2D = 68   Let's subtract equation (2) from equation (1).   x = 8   The answer is 8.
Answer: B
Rajani has to read a book of 445 pages. She has already read the first 157 pages of the book and if she reads 24 pages of the book everyday then how long will she take now to complete the book? Pick.
A) 25 days	B) 20 days	C) 46 days	D) 21 days	E) None of these

Solution: Remaining pages to read = 445 – 157 = 288   ∴ Reqd. number of days = 288⁄24 = 12   Answer None of these
Answer: E
Twenty percent of the women in a college class are science majors, and the non-science majors make up 80% of the class. What percentage of the men are science majors if 40% of the class are men? Choose the correct choice from the following
A) 2%	B) 5%	C) 20%	D) 30%	E) 45%

Solution: Science majors make up 0.2 of the class.   60% of the class are women and   0.2*0.6= 
  0.2*0.6 = 0.12
0.12 of the class are female science majors.   Then 0.08 of the class are male science majors.   0.4x= 0.08   x = 0.2 = 20%   The answer is 20%.
Answer: C
If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 630, what is the least possible value of n?
Choose the most appropriate option:
A) 5
B) 6
C) 7
D) 8
E) 9

Solution: 630 = 2*3*3*5*7, so n must be at least 7.   The answer is 7.
Answer: C
Six female friendssix male friends will be pictured in a advertising photo. If the photographer wants to line them up in one row, with menwomen alternating. How many possible arrangements may she chose?  Options:
A) 1036800  B) 1680  C) 1152  D) 576  E) 70

Solution: now any of the alternate 6 places can be filled by 6 male or female in 6!   similarily,   other 6 alternate places can be filled in 6!   hence required probability= 2*6!*6!= 10,36,800   hence 1036800
Answer: A
In the land of the famous milkman Merghese Durian, a milkman sells his buffalo for Rs. 720 at some profit. Had he sold his buffalo at Rs. 510, the quantum of the loss incurred would have been double that of the profit earned. What is the cost price ?
Choose one: A) 650 B) 750 C) 450 D) 550 E) 600

Solution: Let CP be c   c-510=2(720-c)   c=650   650NSWER:650
Answer: A
The average of 7 numbers is 26. If each number be multiplied by 5. Find the average of new set of numbers?  Choose the correct choice from the following options
A) A)110 B) B)122 C) C)120 D) D)125 E) E)130

Solution: 130xplanation:   Average of new numbers = 26 * 5= 
26 * 5 = 130
130   Answer: Option 130
Answer: E
On his drive to work, Leo listens to one of three radio stations A, B or C. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns it to B. If B is playing a song he likes, he listens to it; if not, he turns it to C. If C is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.40 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes?  Choose the correct choice from the following options
A) 0.027  B) 0.09  C) 0.417  D) 0.784  E) 0.9

Solution: Probability he hears a song is like:   Tune to A and likes what he is hearing = 0.4   Tune to A, don't find he like what they are airing, then tune to B and likes what he finds there = 0.6 * 0.4= 
0.6 * 0.4 = 0.24
0.24   Tune to A, finds crap there, Tune to B, hears a similar crap, Tune to C and finally falls in love with the program= 0.6^2 * 0.4 = 0.144   Total = 0.784   Ans 0.784
Answer: D
The present worth of Rs. 1404 due in two equal half-yearly installments at 8% per annum simple interest is:	Choose the correct choice from the following:
A) Rs. 1325
B) Rs. 1300
C) Rs. 1350
D) Rs. 1500
E) Rs. 1600

Solution: time=1/2yr   r=8%   let pw=x   si=1404-x   x*1/2*8/100=1404-x.(ref problm 10 of SI ,rs aggarwal)   x=1404*25/26= 
1404*25/26 = 1_350
1350   ANSWER:Rs. 1350
Answer: C
The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 75 percent of a, and m equals b decreased by 80 percent of b, what is the value of m/x?
Select
A) 1/7  B) 3/4  C) 4/5  D) 5/4  E) 3/2

Solution: a/b = 4/5   m/x = (1/5)*5 / (7/4)*4 = 1/7   The answer is 1/7.
Answer: A
The cost of Type 1 material is Rs. 15 per kg and Type 2 material is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then what is the price per kg of the mixed variety of material? Choose the correct choice from the following choices: A) 18 B) 20 C) 25 D) 30 E) 35

Solution: Type 1 cost = 15   type 2 cost = 20   =>2:3   hence cost the mixture= (15*2)+(20*3) /(2+3) = 18   18NSWER 18
Answer: A
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 from the following answers:
A) 37
B) 38
C) 22
D) 90
E) 28

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
If 0 < a < b and k = (6a + 7b)/b , which of the following must be true?	Choose the correct choice from the following choices:
A) k < 2
B) k < 7
C) k < 9
D) k > 15
E) k < 11

Solution: Please follow posting guidelines (link in my signature) especially writing the correct topic title. Also do mention the source of the question if you select the tag:Source-Other Please Specify.   As for your question, it is very simple and straightforward with number plug in.   Assume a=1 and b=2 as a < b, you get k = (6+14)/2= 
(6+14)/2 = 10
10. This eliminates all but option k < 11, making it the correct answer.
Answer: E
If M:N is 2:9 and N:P is 9:4 then M:P is equal to	Select:
A) 1:4
B) 1:3
C) 5:2
D) 3:2
E) 1:2

Solution: The two ratios given are having the same number 9 for N in both the ratios.   Hence- M:N = 2:9 N:P = 9:4   => M:P = 2:4 = > 1:2   Answer 1:2
Answer: E
The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of? Choose the correct choice from the following answers
A) 2:9  B) 6:7  C) 6:5  D) 2:9  E) 3:5

Solution: 4:5   3:2   -------   12:15:10   12:10   6:5   Answer: 6:5
Answer: C
Jack and Christina are standing 240 feet apart on a level surface. Their dog, Lindy, is standing next to Christina. At the same time, they all begin moving toward each other. Jack walks in a straight line toward Christina at a constant speed of 5 feet per second and Christina walks in a straight line toward Jack at a constant speed of 3 feet per second. Lindy runs at a constant speed of 9 feet per second from Christina to Jack, back to Christina, back to Jack, and so forth. What is the total distance, in feet, that Lindy has traveled when the three meet at one place?  Choose the correct option
A) 180 B) 210 C) 240 D) 270 E) 300

Solution: The relative speed of Jack and Christina is 5 + 3= 
5 + 3 = 8
8 feet per second.   The distance between them is 240 feet, hence they will meet in (time)= (distance)/(relative speed) = 240/8= 
240/8 = 30
30 seconds.   For all this time Lindy was running back and forth, so it covered (distance)= (speed)*(time) = 9*30= 
9*30 = 270
270 feet.   Answer: 270.
Answer: D
In a group of cows and hens, the number of legs are 8 more than twice the number of heads. The number of cows is :
Choose the correct choice
A) 5  B) 6  C) 7  D) 10  E) 4

Solution: Let no of cows be x, no of hens be y.   So heads=x+y   Legs=4x+2y   Now, 4x+2y = 2(x+y)+ 8   2x = 8   x = 4.   ANSW4R:4
Answer: E
If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/4, then the reciprocal of n must be
Choose the correct choice from the following answers: A) Less than -2 B) Between -1 and -1/2 C) Between -1/2 and 0 D) Between 0 and 1/2 E) Greater than 2

Solution: n^2 < 1/4   abs(n) < 1/2   Since n<0, then 0 > n > -1/2   1/n < -2   The answer is Less than -2.
Answer: A
A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee? Choose the correct choice from the following answers.
A) 100	B) 150	C) 200	D) 240	E) 230

Solution: The number of ways to select two men and three women = ⁵200₂ * ⁶200₃   = (5 *4 )/(2 * 1) * (6 * 5 * 4)/(3 * 2)= 
(5 *4 )/(2 * 1) * (6 * 5 * 4)/(3 * 2) = 200
200   200
Answer: C
how many 3 digit numbers can be formed with 2 consecutive same numbers .  Choose the correct choice:
A) 160
B) 171
C) 180
D) 256
E) 352

Solution: if you fix the 2nd and 3rd position which can be done in 10 ways and 1st position can take value from 1-9 therefore total ways comes out to b  9*10= 
 9*10 = 90
90   plus   if you fix the 1st nd 2 position which can be done in 9 ways and 3rd position can take 10 values i.e from 0-9, that makes it 9*10= 
9*10 = 90
90   total=90+90= 
90+90 = 180
180   now minus the common part like 111,222 to 999   that is total of 9 numbers..   therefore finally 180-9= 
180-9 = 171
171   ANSWER:171
Answer: B
The C.I. on a certain sum for 2 years at 10% per annum is Rs. 525. The S.I. on the same sum for double the time at half the rate percent per annum is?	Choose the correct choice from the following answers:
A) Rs. 400  B) Rs. 500  C) Rs. 600  D) Rs. 800  E) Rs. 850

Solution: Explanation:   Let the sum be Rs. P. Then,   [P(1 + 10/100)2 - p] = 525   P[(11/10)2 - 1] = 525   P = (525 * 100) / 21= 
(525 * 100) / 21 = 2_500
2500   Sum= Rs. 2500   So, S.I. = (2500 * 5 * 4)/100 = Rs. 500   ANSWER IS Rs. 500
Answer: B
Sachin is younger than Rahul by 9 years. If the ratio of their ages is 7:9, find the age of Sachin	Pick:
A) 31.5 B) 24.5 C) 24.3 D) 24.9 E) 24.1

Solution: If Rahul age is x, then Sachin age is x-9,   so (x-9)/x = 7/9   => 9x-81 = 7x   => 2x = 81   => x = 40.5   So Sachin age is   40.5 - 9= 
  40.5 - 9 = 31.5
31.5   31.5nswer: 31.5
Answer: A
A sum of 12,500 amounts to 15,500 in 4 years at the rate of simple interest. What is the rate of interest?
Choose one:  A) 2%  B) 1%  C) 6%  D) 5%  E) 8%

Solution: C   6%   S.I. = (15500 - 12500)= 
(15500 - 12500) = 3_000
3000.   Rate= (100 x 3000)/(12500x4)% = 6%
Answer: C
n^(n/2)=8 is true when n=8 in the same way what is the value of n if n^(n/2) =20? Choose one.
A) 8	B) 14	C) 10	D) 20	E) 40

Solution: n^(n/2)=20Apply logN/2logn=log20nlogn=2log20=log20^2=log400Logn=log400Now apply antilogn=400/nNow n=20.ANSWER:20
Answer: D
Sita has $100 in her piggy bank. How much will she have in her bank 20 weeks from now if she puts $1 in the bank next week, $2 two weeks from now, $3 three weeks from now, and continues to increase the amount that she puts in by $1 each week? Choose the most appropriate option:  A) 300  B) 310  C) 320  D) 330  E) 340

Solution: The dollar deposits are in an A.P.   1,2,3,4...20 with common difference 1   Sum of the terms is n(n+1) / 2   i.e 20 * (20+1) /2   = 20 * 21/2= 
20 * 21/2 = 210
210   Total deposit therefore with Chiu-Lihas is 100 + 210= 
100 + 210 = 310
310$
Answer: B
The length of the bridge, which a train 150 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Options:
A) 255
B) 267
C) 225
D) 277
E) 211

Solution: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (150 + x)/30 = 25/2 => 2(150 + x) = 750 => x = 225 m. Answer:225
Answer: C
A train passes a station platform in 32 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choose the correct choice from the following choices:
A) 180 m
B) 240 m
C) 300 m
D) 360 m
E) 280 m

Solution: Speed = 54 x	5/18	m/sec = 15 m/sec.   Length of the train = (15 x 20)m = 300 m.   Let the length of the platform be x metres.   Then,	(x + 300)/32	= 15   x + 300 = 480   x = 180 m.180 mnswer: Option 180 m
Answer: A
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 25% 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 choice from the following options
A) 20%  B) 25%  C) 28.5%  D) 30%  E) 32%

Solution: 1st year Income= I   1st year savings= S   1st year Expense= E1   2nd year Income = 1.25I   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 25% income the savings increased by 100%.   or S= .25I   or S= 25% of Income   25% is the answer
Answer: B
Vijay sells a cupboard at 10% below cost price. Had he got Rs.1500 more, he would have made a profit of 10%. What is the cost price of the cupboard?	Answers.
A) 7450	B) 7500	C) 7400	D) 7500	E) None of these

Solution: Explanation:   Cost price = 1500/(0.10 + 0.10) = 1500/0.20   = Rs.7500   ANSWER 7500
Answer: B
A fruit drink is made of orange, watermelon, and grape juice, where 25 percent of the drink is orange juice and 40 percent is watermelon juice. If the drink is made with 70 ounces of grape juice, how many ounces is the drink total?
Options:
A) 125  B) 160  C) 200  D) 250  E) 320

Solution: Let the total number of ounces in the drink be x.   % of orange = 25%   % of watermelon = 40%   % of grape = 100% - 65% = 35%   0.35x 100  - 65= 
100  - 65 = 35
35%   0.35x= 70   x = 200   Therefore there are a total of 200 ounces in the drink.   The answer is 200.
Answer: C
1/3 of certain journey is covered at the rate of 25kmph,one-fourth at the rate of 30kmph and the rest at 50 kmph.Find the avg speed for the whole journey.	Choose the correct choice from the following
A) 23 kmph
B) 25 kmph
C) 33.333 kmph
D) 35 kmph
E) 37.133 kmph

Solution: Average speed = total distance / total time   L33.333 kmphM = 3, 4 = 12   Average speed = 12 / (1/3*12*1/25 + ¼ * 12*1/30 +5/50)   = 12/ (4/25 + 3/30+ 5/30   = 150*12/54 = 33.333 kmph   33.333 kmph
Answer: C
In a class there are 20 boys and 15 girls. In how many ways can a boy and a girl be selected?	Choose the correct choice from the following answers
A) 288
B) 500
C) 277
D) 266
E) 300

Solution: We can select one boy from 20 boys in 20 ways.   We select one girl from 15 girls in 15 ways   We select a boy and girl in 20 * 15 ways i.e.,   = 300 ways.   Answer: 300
Answer: E
Two trains start at same time from two stations and proceed towards each other at the rate of 20 km/hr and 25 km/hr respectively. When they meet, it is found that one train has traveled 65 km more than the other. What is the distance between the two stations? Choose the correct answer.
A) 585 km
B) 767 km
C) 276 km
D) 178 km
E) 176 km

Solution: Explanation:   Let us assume that trains meet after 'x' hours   Distance = speed * Time   Distance traveled by two trains = 20x km and 25x km resp.   As one train travels 65 km more than the other,   25x â€“ 20x = 65   5x = 65   x = 13 hours   As the two trains are moving towards each other, relative speed = 20 + 25= 
20 + 25 = 45
45 km/hr   Therefore, total distance= 45*13= 
45*13 = 585
585 km.   585 kmNSWER: 585 km
Answer: A
In case T, S and X are the only individuals sewing on committee B, the members of committee C should be:  Choose the correct choice from the following
A) Z and Y	B) Z and W	C) Y and V	D) Y and U	E) Y and W

Solution: Y and U Because in committee b the individuals are S and X so in committee c the individuals will be Y and U   ANSWER:Y and U
Answer: D
A can do a work in 12days. When he had worked for 3days, B joinedhim. If they complete the work in 3more days, in how manydays can Balone finish the work?
Choices:
A) 3 days B) 4 days C) 6 days D) 7 days E) 9 days

Solution: sax Work done by Afar 3 days : i   J   .. Remzming war — 1   .Work done by (A + B) for 1 day :   . Work done by a for 1 day   6 days   6 days
Answer: C