MU-NLPC/Calc-aqua_rat huggingface dataset:
A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.695 in all. Find the share of B? Choose the correct choice:	A) 130	B) 120	C) 218	D) 144	E) 145

Solution: A+B+C = 695   A = 3B   3B+B+B-25 = 695   5B = 720   B = 144   Answer: 144
Answer: D
A train having a length of 240 m passes a post in 24 seconds. How long will it take to pass a platform having a length of 630 m?	Choices:  A) 120 sec  B) 99 sec  C) 89 sec  D) 87 sec  E) 85 sec

Solution: Explanation:   v = 240/24 (where v is the speed of the train) = 10 m/s   t = (240+630)/10= 
(240+630)/10 = 87
87 seconds   Answer: Option 87 sec
Answer: D
In the coordinate plane, a circle centered on point (-3, 4) passes through point (1, 1). What is the area of the circle?
Choose the correct choice from the following choices.
A) 9π
B) 18π
C) 25π
D) 37π
E) 41π

Solution: r^2=(-3-1)^2+(4-1)^2=16+9= 
16+9 = 25
25   Area of circle=πr^2=25π   Answer : 25π
Answer: C
A coin is tossed two times. What is the probability that there is at the least one tail?	Choose the correct choice from the following answers
A) 3/4  B) 1/3  C) 3/7  D) 3/5  E) 1/31

Solution: Let P(T) be the probability of getting least one tail when the coin is tossed two times.   = There is not even a single tail.   i.e. all the outcomes are heads.   = 1/4 ; P(T) = 1 - 1/4   = 3/4   3/4nswer: 3/4
Answer: A
Two-third of a positive number and 144/216 of its reciprocal are equal. The number is:	Select.
A) 5/12  B) 12/5  C) 25/144  D) 144/25  E) 1

Solution: Let the number be x. Then,   2/3 x = 144/216 * 1/x   x2 = 144/216 * 3/2 = 144/144= 
144/144 = 1
1   ANSW1R:1
Answer: E
A son and father goes for boating in river upstream . After rowing for 1 mile son notices the hat of his father falling in the river. After 5 min he tells his father that his hat has fallen. So they turn round and are able to pick the hat at the point from where they began boating after 5min. Find the speed of river in miles/hours ?  Select:
A) 7 mile/hr	B) 6 mile/hr	C) 8 mile/hr	D) 1 mile/hr	E) 2 mile/hr

Solution: Explanation:   Let the speed of river and boat be 'r' m/min and 'b' m/min.   so relative speed in upstream (b-r)m/min and in downstream (b+r)m/min.   Now in upstream distnce covered in 5 min is 5(b-r)miles   so total distnce covered => 1 + 5(b-r)miles in upstream   In downstream distance covered in 5min is 5(b+r)miles   Now 1 + 5(b-r) = 5(b+r)   1+5b-5r = 5b+5r   1 = 10r   r = 1/10 mile/min => 6 mile/hr.   Answer: 6 mile/hr
Answer: B
The balance of a trader weighs 20% less than it should. Still the trader marks up his goods to get an overall profit of 30%. What is the mark up on the cost price?  Choose the correct choice from the following options: A) 4% B) 8% C) 25% D) 16.66% E) 9%

Solution: The most natural way to deal with 'weights' questions is by assuming values.   Say the trader's balance shows 100 gms. It is actually 80 gms because it weighs 20% less. Say, the cost price is $80 ($1/gm). Since he gets a profit of 30%, the selling price must be 80+(30/100)*80= 
80+(30/100)*80 = 104
$104   Since the cost price is actually supposed to be $100 (for 100 gms) and the selling price is $104, the mark up is simply 4%.   4%ns : 4%
Answer: A
A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 310 m long?
Answers:	A) 34 Seconds	B) 22 Seconds	C) 41 Seconds	D) 24 Seconds	E) 27 Seconds

Solution: 27 Seconds   Distance travelled = 140 + 310= 
140 + 310 = 450
450m   Speed= 60 * 5/8 = 50/3m   Time = 450 * 3/50= 
450 * 3/50 = 27
27 Seconds   ANSW27 SecondsR 27 Seconds
Answer: E
If a and b are integers and (2^a)(3^b) is a factor of 180^40, what is the largest possible value of ab?  Choose the correct choice from the following answers
A) 2a
B) 5a
C) 20a
D) 40a
E) 80a

Solution: (2^a)(3^b) is a factor of 180^40   We need to find the largest possible value of ab.   We know that 180 = 2^2*5^1*3^2   Therefore 180^40 will have 2 powers of 3 in it.   Hence in (2^a)(3^b), b has to 2   Therefore value of ab = 2a   Correct Option: 2a
Answer: A
Weight of M, D and I is 74. Sum of D and I is 46 greater than M. I is 60% less than D. What is D's weight.  Answers.
A) 22 B) 10 C) 88 D) 26 E) 18

Solution: M + D + I = 74 - - - (1)   (D + I) - M = 46 - - - (2)   I = 410410 D ⇒⇒ 5I = 2D ⇒⇒ I = 2D/5 - - - (3)   Adding (1) and (2) we get 2D + 2I = 120   Substituting the value of I in the above equation,   2D+2(2D5)=1202D+2(2D5)=120   ⇒⇒ 14D = 600   ⇒⇒ D = 300/7 = 42.8   Ans:10
Answer: B
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Choose the correct option: A) 10 km/hr B) 50 km/hr C) 14 km/hr D) 17 km/hr E) 77 km/hr

Solution: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 45 ==> x = 50 km/hr.   Answer: 50 km/hr
Answer: B
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform? Choose the correct choice:
A) 177  B) 166  C) 350  D) 198  E) 161

Solution: Speed = [300 / 18] m/sec = 50/3 m/sec.   Let the length of the platform be x meters.   Then, x + 300 / 39 = 50/3   3(x + 300) = 1950 è x = 350m.   Answer: 350
Answer: C
One fourth of one third of two fifth of a number is 15. What will be the 40% of that number is?	Choices:
A) 120	B) 130	C) 150	D) 180	E) 250

Solution: (1/4) * (1/3) * (2/5) * x = 15 then x = 15 * 30= 
15 * 30 = 450
450   40% of 450= 180   ANSWER 180
Answer: D
In a restaurant, the profit is 110% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the profit?	Choose the correct answer:
A) 30%	B) 47%	C) 90%	D) 100%	E) None of these

Solution: Explanation :   Let C.P.= Rs. 100. Then, Profit = Rs. 110, S.P. = Rs. 210.   New C.P. = 112% of Rs. 100 = Rs. 112   New S.P. = Rs. 210.   Profit = Rs. (210 - 112) = Rs. 98.   Required percentage = (98 /210 *100) % = 47 % appox   Answer : 47%
Answer: B
A quadratic function f(x) attains a maximum of 3 at x = 1. The value of the function at x = 0 is 1. What is the value of f(x) at x = 10 ?	Choose the most appropriate option:	A) -119	B) -159	C) -110	D) -180	E) -105

Solution: Explanation :   Let, the quadratic equation be ax2 + bx + c. So, f(x) = ax2 + bx + c   At x = 0, the value of function is 1.   x = 0, f(x) = 1   ax2 + bx + c = a * 0 + b * 0 + c = c   c = 1.   At x = 1, f(x) = 3   x = 1, f(x) = 3   a *1 + b * 1 + c = 3   Since c = 1, a + b = 2.   Also, we know that f(x) is maximum when x = 1. If f(x) is maximum, (dx/dt)(f(x)) = 0   Differentiating f(x), we have d/dt (ax2 + bx + c) = 2ax + b   At x = 1, 2ax + b = 0.   2a + b = 0.   b = -2a.   Substituting we have a + b = 2, or a + -2a = 2. a = -2. So, b = 4.   So the equation is -2x2 + 4x + 1.   At x = 10, the value is -2 * 100 + 4 * 10 + 1 i.e -159.   Answer : -159
Answer: B
A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ?  Choose the correct choice from the following:
A) 4 months  B) 5 months  C) 6 months  D) 8 months  E) 7 months

Solution: Suppose B joined for x months . Then, ( 85000 * 12 )/(42500 * x) = 3. or x = (85000 * 12) / (42500 * 3)= 
(85000 * 12) / (42500 * 3) = 8
8.   So, B joined for 8 months.Answer: 8 months
Answer: D
Potato chips are on sale, buy 2 get 1 free. There are only 9 bags of chips left (4 plain and 5 bbq). A shopper randomly grabs 3 bags. What is the probability the shopper will grab exactly 3 bags of bbq chips?	Choose the correct choice from the following:
A) 2/3
B) 1/3
C) 1/5
D) 5/42
E) 7/42

Solution: Combination Probability Formula: nCr = n!/[r!(n-r)!]   Total possible, select 3 bags from 9 bags = 9C3 = 9!/[3!(9 - 3)!] = 84.   To have 3 bbq there must be 0 plain, select 0 plain from 4 = 4C0 = 1.   And, select 3 bbq from 5 = 5C3 = 10.   3 bbq and 0 plain = (1)(10) = 10   Probability = (number outcomes favorable)/(total number outcomes) = 10/84 = 5/42   Answer: 5/42
Answer: D
A train 180 m long passed a pole in 3 sec. How long will it take to pass a platform 330 m long?	Choices.
A) 5 B) 6 C) 7 D) 8 E) 9

Solution: Speed = 180/3= 
180/3 = 60
60 m/sec.   Required time= (180 + 300)/60= 
(180 + 300)/60 = 8
8 sec.   Answer:8
Answer: D
The average temperature of Monday, Tuesday, Wednesday and Thursday was 38∘ and that of Tuesday, Wednesday, Thursday and Friday was 40∘. If the temperature on Monday was 32∘, the temperature of Friday was :
Choose the correct choice from the following answers:
A) 40∘	B) 39∘	C) 38∘	D) 30∘	E) None of these

Solution: Explanation:   M+T+W+Th=(4×38)=152   Monday temperature is 32. So T+W+Th=(152-32)= 
(152-32) = 120
120   T+W+Th+F=(4×40)=160   F = (160-120)= 
(160-120) = 40
40∘   Correct Option: 40∘
Answer: A
The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is?	Answers: A) 0.5909 B) 0.5904 C) 0.5902 D) 0.5907 E) 0.5901

Solution: P(winning prize atleast on one ticket)   = 1 - P("Losing on all tickets")   = 1 - (0.8)4 = (1 + (0.8)2)(1 - (0.8)2)   = (1.64)(0.36) = 0.5904   Answer:0.5904
Answer: B
18 beavers, working together in a constant pace, can build a dam in 12 hours. How many hours will it take 12 beavers that work at the same pace, to build the same dam?
Choose one.
A) 2.  B) 4.  C) 5.  D) 6  E) 18.

Solution: Total Work = 18*12= 
18*12 = 216
216 Beaver hours   12 Beaver * x=216Beaver hours   x=216 / 12= 
216 / 12 = 18
18   ANSW18.R:18.
Answer: E
The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is? Choose the correct answer:
A) 299  B) 266  C) 299  D) 750  E) 261

Solution: Speed = [90 * 5/18] m/sec = 25 m/sec; Time = 1 min. = 60 sec.   Let the length of the train and that of the platform be x meters.   Then, 2x/60 = 25 è x = 25 * 60 / 2= 
25 * 60 / 2 = 750
750   Answer: 750
Answer: D
A train running at the speed of 60 km/hr crosses a pole in 36 seconds. What is the length of the train?
Choose the correct option:  A) 186 m  B) 176 m  C) 100 m  D) 600 m  E) 765 m

Solution: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train   = (Speed x Time) = (50/3 * 36)= 
(50/3 * 36) = 600
600 m.   Answer: 600 m
Answer: D
What is the measure of the angle Y made by the diagonals of the any adjacent sides of a cube.
Choose the correct choice from the following
A) 30 B) 45 C) 60 D) 75 E) 90

Solution: C.. 60 degrees   All the diagonals are equal. If we take 3 touching sides and connect their diagonals, we form an equilateral Triangle. Therefore, each angle would be 60.60
Answer: C
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 40 years now, the son's age five years back was: Choose one:
A) A)15 B) B)67 C) C)56 D) D)89 E) E)34

Solution: Let the son's present age be x years. Then, (40 - x) = x   2x = 40.   x = 20.   Son's age 5 years back (20 - 5)= 
(20 - 5) = 15
15 years.   15nswer:15
Answer: A
If the average of w, b, c, 14 and 15 is 12. What is the average value of w, b, c and 29	Pick one:
A) 12 B) 13 C) 14 D) 15 E) 16

Solution: w+b+c+14+15 = 12*5= 
12*5 = 60
60=>w+b+c = 60-29= 
60-29 = 31
31   w+b+c+29= 31+29= 
31+29 = 60
60   Average= 60/4= 
60/4 = 15
15   Answer 15
Answer: D
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform? Choose the correct choice from the following answers:
A) 120 m  B) 240 m  C) 300 m  D) 500 m  E) 550 m

Solution: Speed = 54 * 5/18= 
54 * 5/18 = 15
15 m/sec.   Length of the train= 15 * 20= 
15 * 20 = 300
300 m.   Let the length of the platform be x m . Then,   (x + 300)/36= 15 => x = 240 m.   ANSWER 240 m
Answer: B
n is an integer chosen at random from the set
{5, 7, 9, 11 }
p is chosen at random from the set
{2, 4, 10, 14, 18}
What is the probability that n + p = 13 ?  Choose the correct choice from the following choices:
A) 0.15
B) 0.2
C) 0.25
D) 0.3
E) 0.4

Solution: Set N: there is 4 ways to chose a number   Set P: there is 5 ways to chose a number   so total outcome is  4*5= 
 4*5 = 20
20 which is represent 20 pairs of number   now we have 3 pairs can give us 13 which are (7,6), (9,4) and (11,2) .   3/20= 
3/20 = 3/20 = around 0.15
0.15   0.15nswer 0.15
Answer: A
A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 3,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
Choose the correct choice from the following answers:	A) 6.28%	B) 7.14%	C) 7.86%	D) 8.25%	E) 8.63%

Solution: The amount of sodium chloride is 0.05*10,000 = 500 gallons   500/7000 = 1/14 which is about 7.14%   The answer is 7.14%.
Answer: B
At a dinner party every two guests used a bowl of rice between them, every three guests used a bowl of dal between them and every four used a bowl of meat between them. There were altogether 65 dishes. How many guests were present at the party ? Choose the correct option
A) 60	B) 65	C) 90	D) 95	E) None of these

Solution: no. of rice bowl=x   no. of dal bowl=y   no. of meat bowl=z   then, x+y+z=65(eq 1)   also, 2x=3y=4z   substituting value of y&z in terms of x in eq 1, x=30.   as 1 rice bowl is shared between 2 guests, therefore there are 60 guests...   60NSWER:60
Answer: A
Sylvia can buy watches at a price of M dollars per watch, which she marks up by a certain percentage before selling. If she makes a total profit of X by selling Y watches, then in terms of M and X and Y, what is the percent of the markup from her buy price to her sell price?  Choose one.
A) 100*(YM)
B) 100X*(YM)
C) 100X/(YM)
D) 100X-(YM)
E) 100X+(YM)

Solution: Algebraic Solution:If she makes a total profit of X for Y watches, then that must be a profit of X/Y for each watch. That must be the markup above cost on each watch, the amount of the increase. Well, percent increase = (amount of increase)/(starting amount) x 100% = (X/Y)/M *100 = 100X/(YM)   Answer : 100X/(YM)
Answer: C
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 14%?	Choose the correct choice from the following answers:
A) 20%  B) 29%  C) 13 1/30%  D) 12%  E) 13%

Solution: SP2 = 2/3 SP1   CP = 100   SP2 = 86   2/3 SP1 = 86   SP1 = 129   100 --- 29 => 29%   ANSWER:29%
Answer: B
Find the smallest four-digit number which is a multiple of 112.  Choose the correct answer.
A) 896
B) 1008
C) 1120
D) 1024
E) None of these

Solution: The smallest four digit number is 1000. If 1000 is divided by 112, the remainder is 104.   112 - 104= 
112 - 104 = 8
8, if 8 is added to 1000, it will become the smallest four digit number and a multiple of 112.   ANSWER:1008
Answer: B
25% of 30% of 45% is equal to? Options.
A) 0.03375
B) 0.03372
C) 0.0337
D) 0.03377
E) 0.03376

Solution: (25/100) * (30/100) * (45/100)   1/4 * 3/10 * 9/20   27/800= 
27/800 = 27/800 = around 0.03375
0.03375   0.03375nswer:0.03375
Answer: A
A watch which gains uniformly ,is 5 min,slow at 8 o'clock in the morning on sunday and it is 5 min 48 sec.fast at 8 p.m on following sunday. when was it correct?	Choose the most appropriate option: A) 28 min past 7pm on wednesday B) 20 min past 7pm on wednesday C) 20 min past 8pm on wednesday D) 29 min past 7pm on wednesday E) 20 min past 5pm on wednesday

Solution: Explanation:   This sunday morning at 8:00 AM, the watch is 5 min. Slow, and the next sunday at 8:00PM it becomes 5 min 48 sec fast. The watch gains min in a time of (7×24)+12 = 180 hours.   To show the correct tine, it has to gain 5 min.   Answer: 20 min past 7pm on wednesday) 20 min past 7pm on wednesday   So the correct time will be shown on wednesdy at 7:20 PM
Answer: B
Tom, who has 50 math questions, will get 7 points per question if he chooses a correct answer. If he chooses a wrong answer to a question or skips one, he will lose 2 points per question. Then, which of the following can be the score if he solves all the 50 questions?  Answers:
A) 192  B) 193  C) 194  D) 195  E) 197

Solution: Let x be the correctly answered questions. y be the wrongly answered/ skipped ones.   We have x + y = 50;   Score = 7x-2y   2x+2y = 100; 7x-2y = Score;   ==> 9x = 100+Score;   check for answer choices where 100+Score is divisible by 9   Choice (197) 197 fits the equation !
Answer: E
In how many different number of ways 5 boys and 3 girls can sit on a bench? Select
A) 700  B) 40320  C) 720  D) 730  E) 740

Solution: npn = n!   8p8 = 8 X 7 X 6 Ã— 5 Ã— 4 Ã— 3 Ã— 2 Ã— 1 = 40320   40320
Answer: B
If selling price of an article is Rs. 250, profit percentage is 25%. Find the ratio of the cost price and the selling price
Select
A) 4:5	B) 3.:2	C) 2:1	D) 9:3	E) 4:2

Solution: selling price = 250   Profit=25%   cost price =250*100/125= 
250*100/125 = 200
200   Required ratio=200:250=4:5   4:5nswer: Option 4:5
Answer: A
If n is a natural number, then 6n^ 2 + 6n is always divisible by?	Choose the correct option:	A) 6 only	B) 6 and 12	C) 12 only	D) 18 only	E) 20 only

Solution: 6n^2 + 6n = 6n(n+1), which is always divisible by 6 and 12 both, since n(n+1) is always even.   Answer is 6 and 12
Answer: B
If the sum of two numbers is 45 and the H.C.F and the sum of the reciprocals of the numbers are 3 and 103/100 respectively, then the LCM of the numbers is equal to: Choose the correct choice from the following options:
A) 460  B) 300  C) 245  D) 100  E) 200

Solution: Let the numbers be a and b and LCM be x,   Then, a + b = 45 and ab = 3 * x = 3x   Required sum = 1/a + 1/b = (a + b)/ab = 103/300   103/300=45/3x   x=100   ANSWER:100
Answer: D
A lemonade stand sold only small and large cups of lemonade on Tuesday. 2/5 of the cups sold were small and the rest were large. If the large cups were sold for 7/6 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?  Choose the correct choice from the following answers:
A) (a) 7/16	B) (b) 7/11	C) (c) 10/21	D) (d) 17/35	E) (e) 1/2

Solution: A simpler way i guess would be to think that in total 5 cups were sold. Out of which 2 are small and 3 are large. Now let the small ones cost $6. so the large ones would cost $7.   So,   2*6= 
2*6 = 12
12 and   3*7= 
  3*7 = 21
21.   Total revenue was 12+21= 
12+21 = 33
33   and Large cup sales as found above is 21   Therefore answer is 21/33 i.e 7/11   (b) 7/11
Answer: B
Light glows for every 15 seconds . How many times did it between 1:57:58 and 3:20:47 am Select.
A) 381 B) 332 C) 383 D) 334 E) 385

Solution: the diff in sec between 1:57:58 and 3:20:47 is 4969 sec, 4969/13 = 331.   so total 332 times light ll glow   ANSWER:332
Answer: B
A 250m long train is travelling at 30km/hr. Another 200m long train travelling at 40km/hr in the same direction overtakes it. How long would it take to pass the first train completely? Choose the correct option.
A) 2min32secs.	B) 1min32secs.	C) 3min42secs.	D) 2min42secs,	E) 4min12secs.

Solution: Relative speed =x-y x,y are their speeds. Distance =(250+200)= 
(250+200) = 450
450m Relative speed= (40-30)km/hr =450m =25/9 m/s Time taken to cover 450m = 450*9/25 secs. =162 secs. =2min.42sec. Answer : 2min42secs,
Answer: D
A boy is traveling from his house to school at 3km/hr and reached school 9minutes late. Next day he traveled 4km/hr and reached 6minutes early. Then find the distance between house and school?	Choose the correct choice from the following answers:
A) 3km
B) 4.5km
C) 5km
D) 2.5km
E) 6km

Solution: Let distance be x   S1 = 3km/hr   S2 = 4km/hr   T1 = x/3hr   T2 = x/4hr   Difference in time = 9+6= 
9+6 = 15
15m= 1/4hr   (x/3)-(x/4) = 1/4   x = 3km   3kmnswer is 3km
Answer: A
A, B, C, D and E play a game of cards. A says to B, "If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has." A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, how many cards does B have ? Choose the correct choice from the following:
A) 37 B) 23 C) 25 D) 29 E) 17

Solution: Clearly, we have :   B-3 = E ...(i)   B + 3 = D ...(ii)   A+B = D + E+10 ...(iii)   B = C + 2 ...(iv)   A+B + C + D + E= 133 ...(v)   From (i) and (ii), we have : 2 B = D + E ...(vi)   From (iii) and (vi), we have : A = B + 10 ...(vii)   Using (iv), (vi) and (vii) in (v), we get:   (B + 10) + B + (B - 2) + 2B = 133 5B = 125 B = 25.   Answer: 25
Answer: C
There are r red ball, b blue ball and w white ball in a bag. What is the ratio of the number of blue ball to the total no. of ball in terms of r, b and w.?	Choices:  A) (r + b + w)  B) r / (r + b + w)  C) r * (r + b + w)  D) r / (r + b )  E) r / (r + w)

Solution: The total number of marbles is   r + b + w   The total ratio of blue marbles to the total number of marbles is   r / (r + b + w)   r / (r + b + w)
Answer: B
What is the total number of X integers between 100 and 200 that are divisible by 3?	Choose the correct choice from the following: A) 33 B) 32 C) 31 D) 30 E) 29

Solution: yes there is a different way of arriving at that answer ....   u can also use airthmetic progression to get the answer   since the first term to be divisble by 3 is 102 ..take that as A .. the starting no   and since 198 is the last digit to be divisible by 3 take that as N ...   since the difference is 3 take that as D   no u have to find what term is 198 take that as nth term   the formula for that is N = 33 + (n-1) * d   198 = 102 +(n-1) * 3   from this u get n =33
Answer: A
Half of the workers in Palabras bookstore have read the latest book by J. Saramago, and 1/6 of the workers have read the latest book by H. Kureishi. The number of workers that have read neither book is one less than the number of the workers that have read the latest Saramago book and have not read the latest Kureishi book. If there are 42 workers in the Palabras bookstore, how many of them have read both books? Pick
A) 3
B) 12
C) 9
D) 8
E) 7

Solution: There are total 42 workers.   Half of the workers in Palabras bookstore have read the latest book by J. Saramago,   So 21 have read Saramago.   1/6 of the workers have read the latest book by H. Kureishi.   So (1/6) * 42= 
(1/6) * 42 = 7
7 have read Kureishi   The number of workers that have read neither book is one less than the number of the workers that have read the latest Saramago book and have not read the latest Kureishi book   If B workers have read both books, 20 - B have read Saramago but not Kureishi.   So, (21 - B - 1) have read neither.   Total= n(3) + n(B) - Both + Neither   42 = 21 + 7 - B + (21 - B - 1)   B = 3   3nswer (3)
Answer: A
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?  Answers
A) 33	B) 63	C) 22	D) 29	E) 177

Solution: Explanation:   Required number of ways = \inline {\color{63lack}(7C_{5}\times 3C_{2})=(7C_{2}\times 3C_{1})=63}   Answer: 63) 63
Answer: B
The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. The radius of the sphere is: Choose the correct choice from the following answers:
A) 4cm
B) 6cm
C) 8cm
D) 10cm
E) 9cm

Solution: Explanation:   Curved surface area of sphere =4/πr2Surface area of cylinder =2πrh   4/  2= 
4/  2 = 2
2πrh=>4/πr2=2πrh   4/  2= 
4/  2 = 2
2πrh=>r2=6∗12/2   =>r2=36   =>r=6   Note: Diameter of cylinder is 12 so radius is taken as 6.   Option 6cm
Answer: B
If cost of sugar increases by 52%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed? Pick
A) 34.21 B) 35.15 C) 36.32 D) 28.21 E) 26.54

Solution: 100   152   -----   152 ----- 52   100 ------ ? => 34.21%   34.21nswer:34.21
Answer: A
Three numbers are in the ratio 1:4:8 and their H.C.F is 3. The numbers are?  Choose the correct choice from the following options.
A) 3, 15, 24  B) 3, 12, 27  C) 3, 12, 22  D) 3, 12, 24  E) 3, 12, 21

Solution: Let the required numbers be x, 4x and 8x. Then, their H.C.F = x. So, x = 3.   The numbers are 3, 12, 24.   Answer: 3, 12, 24
Answer: D