MU-NLPC/Calc-aqua_rat huggingface dataset:
A box has exactly 100 balls, and each ball is either red, blue, or white. If the box has 10 more blue balls than white balls, and thrice as many red balls as blue balls, how many white balls does The box has ?	Choose the correct choice from the following options.
A) 8	B) 10	C) 12	D) 14	E) 16

Solution: x = the number of red balls   y = the number of blue balls   z = the number of white balls   From the first sentence we have   Equation #1: x + y + z = 100   ...the box has 10 more blue balls than white balls...   Equation #2: y = 10 + z   ...thrice as many red balls as blue balls...   Equation #3: x = 3y   Solve equation #2 for z: z = y - 10   Now, we can replace both x and z with y in Equation #1   3y + y + (y - 10) = 100   5y - 10 = 100   5y = 110   y = 22   There are 22 blue balls. This is 10 more than the number of white balls, so z = 12. That's the answer. Just as a check, x = 66, and   66 + 22 + 12= 
  66 + 22 + 12 = 100
100.   Answer= 12,(12)
Answer: C
which of the following is correct formula for divisor rule ? Choose the correct choice from the following answers
A) dividend = divisor * quotient + remainder B) quotient = divisor * dividend + remainder C) dividend = divisor * quotient - remainder D) dividend = divisor * remainder + quotient E) dividend = divisor * remainder - quotient

Solution: option dividend = divisor * quotient + remainder is correct
Answer: A
The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 7420, what is the length of the plot in metres?
Options:  A) 20  B) 200  C) 300  D) 400  E) 80

Solution: Let length of plot = L meters, then breadth = L - 20 meters   and perimeter = 2[L + L - 20] = [4L - 40] meters   [4L - 40] * 26.50 = 7420   [4L - 40] = 7420 / 26.50= 
7420 / 26.50 = 280
280   4L= 320   L = 320/4= 
320/4 = 80
80 meters. Answer: 80
Answer: E
The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 20% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 10% more than the number there from 10 a.m. to 11 a.m. If 242 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?
Select.
A) 100	B) 20	C) 30	D) 40	E) 50

Solution: No of people from 10 - 11 is x   No of people from 11 - 12 is 11x/10   No of people from 12 to 1 is (6/5)(11x/10)   Given that 11x/10 + (6/5)(11x/10) = 121x / 50 = 242   Then x = 100   100
Answer: A
A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?	Pick one.
A) 120 m  B) 180 m  C) 200 m  D) Cannot be determined  E) None of these

Solution: Speed = 60 * 5/18 = 50/3 m/sec   Length of the train = speed * time = 50/3 * 12= 
50/3 * 12 = 200
200 m   ANSWER:200 m
Answer: C
An inspector rejects 0.0008% of the meters as defective. How many will be examine to project ?  Answers: A) 2000 B) 2300 C) 2700 D) 250000 E) 250

Solution: Let the number of meters to be examined be x.   Then, 0.0008% of x =2   [(8/10000)*(1/100)*x] = 2   x = [(2*100*10000)/8= 
(2*100*10000)/8 = 250_000
250000   Answer is 250000.
Answer: D
If 4 men can color 48 m long cloth in 2 days, then 6 men can color 36 m long cloth in?
Pick:
A) 1 day  B) 2 days  C) 3 days  D) 4 days  E) 5 days

Solution: The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m   No. of days required to paint 36 m cloth by 6 men = 36/ 6 × 6 = 1 day   1 day)
Answer: A
The slant height of a cone is 10 cm and radius of the base is 5 cm, find the curved surface of the cone.  Choices
A) 250 B) 170 C) 148 D) 157 E) 150

Solution: π * 5* 10=157   Answer:157
Answer: D
if the ratio of two number is 2:3 and LCM of the number is 120 then what is the number.	Choose the correct choice from the following answers:
A) 15
B) 20
C) 25
D) 30
E) 35

Solution: product of two no = lcm *hcf   2x*3x=120*x   x=20   ANSWER:20
Answer: B
A car travels at a speed of 65 miles per hour. How far will it travel in 5 hours?  Choose the correct choice from the following
A) 255 miles
B) 325 miles
C) 645 miles
D) 121 miles
E) 333 miles

Solution: During each hour, the car travels 65 miles. For 5 hours it will travel   65 + 65 + 65 + 65 + 65 = 5 * 65= 
5 * 65 = 325
325 miles   correct answer 325 miles
Answer: B
Of the 75 house in a development, 50 have a two-car garage, 40 have an in-the-ground swimming pool, and 35 have both a two-car garage and an in-the-ground swimming pool. How many houses in the development have neither a two-car garage nor an in-the-ground swimming pool?	Options
A) 10 B) 15 C) 20 D) 25 E) 30

Solution: Neither 20ar nor Garage   = Total - Garage - (Swim - 20ommon)   = 75 - 50 - (40-35) = 75-55= 
75-55 = 20
20   Answer 20
Answer: C
The average of 40 results is 30 and the average of other 30 results is 40 . what is the average of all the results?  Choose one
A) 34  B) 25  C) 48  D) 50  E) None

Solution: Answer   Sum of 70 result = sum of 40 result + sum of 30 result.   = 40 x 30 + 30 x 40   = 2400/70   Correct Option: 34
Answer: A
The price of a book is increased from $300 to $450. What is the % of increase in its price?  Choices.
A) 10%	B) 20%	C) 40%	D) 50%	E) 60%

Solution: Explanation: Change in the price = Rs 450 â€“ Rs 300   = Rs 150   Percentage of increase = Change in the price Initial Price   * 100.   Percentage increase in price =( 150 300   ) *100 = 50%   50%
Answer: D
From a salary of an officer, 10% is deducted as house rent, 15% of the rest he spend on children's education and 10% of the balance he spends on clothes. Then, he is left with Rs. 4131. Find his total salary? Choose the correct choice
A) 6000
B) 3788
C) 9009
D) 6788
E) 2772

Solution: Suppose his total salary be Rs.x, then   90% of 85% of 90% of x = 4131   \inline \Rightarrow \frac{90}{100}\times \frac{85}{100}\times \frac{90}{100}\times x=4131   \inline \therefore x=\frac{4131\times 100\times 100\times 100}{90\times 85\times 90}=6000   Hence , the salary of the officer is Rs.6000   6000nswer:6000
Answer: A
The factorial expression 12!/6! is not divisible by which of the following integers?	Pick one.
A) 3 B) 5 C) 13 D) 10 E) 9

Solution: 12!/6! => 12 x 11 x 10 x 9 x 8 x 7   (A) 3 13an divide 12 or 9   (B) 5 13an divide 10   (13) 13 None of the Multiplicands present   (D) 10 13an divide 10   (E) 9 13an divide 9   Hence answer will be (13)
Answer: C
An amount of Rs.1560 was divided among A, B and C, in the ratio 1/2 : 1/3 : 1/4. Find the share of C? Choose one:  A) 272  B) 276  C) 360  D) 277  E) 261

Solution: Let the shares of A, B and C be a, b and c respectively.   a : b : c = 1/2 : 1/3 : 1/4   Let us express each term with a common denominator which is the last number divisible by the denominators of each term i.e., 12.   a : b : c = 6/12 : 4/12 : 3/12 = 6 : 4 : 3.   Share of C = 3/13 * 1560 = Rs. 360.   Answer: 277
Answer: D
Find the odd man out
125, 106, 88, 76, 65, 58, 53  Answers.
A) 125  B) 106  C) 88  D) 76  E) 57

Solution: Add series of prime numbers starting from 5 to get the next number     53+5= 
  53+5 = 58
58   58+7= 
58+7 = 65
65   65+11= 
65+11 = 76
76   76+13= 
76+13 = 89
89   89+17= 
89+17 = 106
106   106+19= 
106+19 = 125
125   ANSWER:88
Answer: C
How many integerskgreater than 100 and less than 700 are there such that if the hundreds and the units digits ofkare reversed, the resulting integer is k+99?
Choose the correct answer
A) 50  B) 60  C) 70  D) 80  E) 90

Solution: Numbers will be like 102 => 201 = 102 + 99   203 => 302 = 103 + 99   so the hundereth digit and units digit are consecutive where unit digit is bigger than hundred digit.   There will be five pairs of such numbers   for every pair there will 10 numbers like for 12 => 102, 112,132,142,152, 162,172,182,192.   Total = 5 *10= 
5 *10 = 50
50 hence 50.
Answer: A
If a and b are both prime numbers greater than 12, which of the following CANNOT be true?
I. ab is an even number.
II. The difference between a and b equals 117.
III. The sum of a and b is even.	Choices:  A) I only  B) I and III only  C) I and II only  D) II and III only  E) I, II and III

Solution: MANHATTAN GMATOFFICIAL SOLUTION:   Since a and b are both prime numbers greater than 10, they must both be odd. Therefore ab must be an odd number, so Statement I cannot be true. Similarly, if a and b are both odd, then a - b cannot equal 117 (an odd number). This difference must be even. Therefore, Statement II cannot be true. Finally, since a and b are both odd, a + b must be even, so Statement III will always be true. Since Statements I and II CANNOT be true, but Statement III IS true,the correct answer is (C).   Answer : I and II only
Answer: C
A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Pick one:
A) 287 m	B) 178 m	C) 500 m	D) 177 m	E) 188 m

Solution: Speed = 78 * 5/18 = 65/3 m/sec.   Time = 1 min = 60 sec.   Let the length of the train be x meters.   Then, (800 + x)/60 = 65/3   x = 500 m.   Answer: 500 m
Answer: C
The tax on a commodity is diminished by 40% but its consumption is increased by 25%. Find the decrease percent in the revenue derived from it? Choose the correct choice from the following choices.
A) 18%	B) 72%	C) 25%	D) 12%	E) 52%

Solution: 100 * 100= 
100 * 100 = 10_000
10000   60 * 125= 
60 * 125 = 7_500
7500   10000------- 2500   100 ------- ?=25%   Answer:25%
Answer: C
The price of commodity P increases by 40 paise every year, while the price of commodity Q increases by 15 paise every year. If in 2001, the price of commodity P was Rs. 4.20 and that of Q was Rs. 6.30, in which year commodity P will cost 40 paise more than the commodity Q ?	Pick one.
A) 2008
B) 2009
C) 2010
D) 2011
E) 2012

Solution: Let the commodity P costs 40 paise more than the commodity Q after n years.   Price of the commodity P in 2001 = Rs.4.20   Since the price of the commodity P increases by Rs 0.40 every year,   Price of the commodity P after n years from 2001 = Rs.4.20 + (n × .40)   Price of the commodity Q in 2001 = Rs.6.30   Since the price of the commodity Q increases by Rs 0.15 every year,   price of the commodity Q after n years from 2001 = Rs.6.30 + (n × .15)   Since the commodity P costs Rs. 0.40 more that the commodity Q after n years from 2001,   4.20 + (n × .40) = 6.30 + (n × .15) + 0.40   => (40n - .15n) = 6.30 - 4.20 + 0.40= 
6.30 - 4.20 + 0.40 = 2.5
2.5=> .25n = 2.5   => n =2.5/.25= 
2.5/.25 = 10
10=> Commodity P costs Rs.0.40 more that the commodity Q after 10 years from 2001.   i.e., in 2011   ANSWER:2011
Answer: D
If x/2 = y/5 = z/6, then (x + y + z)/x is equal to : Choose the correct choice:
A) 13  B) 12  C) 15/2  D) 13/2  E) None of these

Solution: Explanation :   Solution: Let x/2 = y/5 = z/6 = k => x =2k, y =5k, z = 6k.   .'. (x + y + z)/x = (2k + 5k + 6k)/2k   => 13k/2k = 13/2   Answer : 13/2
Answer: D
In an examination, the percentage of students qualified to the number of students appeared from school A is 70%. In school B, the number of students appeared is 20% more than the students appeared from school A and the number of students qualified from school B is 50% more than the students qualified from school A. What is the percentage of students qualified to the number of students appeared from school B? Choose one: A) 30% B) 70% C) 80% D) 87.5% E) None

Solution: Solution   Let number of students appeared from school A = 100.   Then, number of students qualified from school A = 70.   Number of students appeared from school B = 120.   Number of students qualified from school B = [150 / 100 x 70] = 105.   Required percentage = [105/ 120 x 100]%   = 87.5%   Answer 87.5%
Answer: D
Two goods trains each 75 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?	Pick.
A) 2.3 sec B) 4.2 sec C) 48 sec D) 7.2 sec E) 9 sec

Solution: Relative speed = 45 + 30= 
45 + 30 = 75
75 km/hr.   75 * 5/18= 125/6 m/sec.   Distance covered = 75 + 75= 
75 + 75 = 150
150 m.   Required time= 150 * 6/125= 
150 * 6/125 = 36/5 = around 7.2
7.2 sec.   Answer:7.2 sec
Answer: D
The average weight of a group of boys is 30 kg. After a boy of weight 36 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choose the correct choice from the following.
A) 4 B) 8 C) 5 D) 2 E) 9

Solution: Let the number off boys in the group originally be x.   Total weight of the boys = 30x   After the boy weighing 36 kg joins the group, total weight of boys = 30x + 36   So 30x + 36 = 31(x + 1) = > x = 5   Answer: 5
Answer: C
Heinz produces tomato puree by boiling tomato juice. The tomato puree has only 20% water while the tomato juice has 90% water. How many liters of tomato puree will be obtained from 20 litres of tomato juice?
Choose the most appropriate option
A) 2.8 liters. B) 2.5 liters. C) 8.5 liters. D) 2.6 liters. E) 2.1 liters.

Solution: Answer:   Explanation:   In each of the solutions, there is a pure tomato component and some water. So while boiling, water evaporates but tomato not. So we equate tomato part in the both equations.   ⇒⇒ 10%(20) = 80%(x)   ⇒⇒ x = 2.5 liters.   Answer:2.5 liters.
Answer: B
A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?	Choose one.
A) 4 km/hr
B) 5 km/hr
C) 6 km/hr
D) 3 km/hr
E) 2 km/hr

Solution: Rate downstream = 16/2= 
16/2 = 8
8 kmph.   Rate upstream= 16/4= 
16/4 = 4
4 kmph.   Speed in still water=	1/2 (8 + 4) kmph = 6 kmph.   Answer : Option 6 km/hr
Answer: C
Cubes with each side one inch long are glued together to form a larger cube. The larger cube's face is painted with red color and the entire assembly is taken apart. 22 small cubes are found with no paints on them . How many of unit cubes have at least one face that is painted red?  Choices:
A) 64	B) 72	C) 86	D) 98	E) 103

Solution: Use the options.   The options which after getting added to 27 shows a cube of a number could be right.   Here    64+22= 
 64+22 = 86
86   72+22= 
72+22 = 94
94   86+22= 
86+22 = 108
108   98+22= 
98+22 = 120
120   103+22= 
103+22 = 125
125 ---(5*5*5)   So we have 103 as the answer!   103
Answer: E
Goldenrod and No Hope are in a horse race with 8 contestants. How many different arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race?
Choose the correct answer:
A) 40320
B) 20160
C) 12000
D) 2400
E) 2100

Solution: All 8 horses can finish the race in 8! way (assuming no tie).   If no tie is possible between No Hope and Goldenrod, then in half of these cases No Hope will be before Goldenrod and in half of these cases after (not necessarily right before or right after). How else? So, there are 8!/2=20160 different arrangements of finishes where No Hope always finishes before Goldenrod.   Answer: 20160.
Answer: B
A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?	Options.
A) 1:2
B) 1:5
C) 1:3
D) 1:1
E) 1:7

Solution: T = 192/32= 
192/32 = 6
6 h   T= 6 - 3= 
6 - 3 = 3
3   Time Ratio= 6:3 = 2:1   Speed Ratio = 1:2   1:2nswer:1:2
Answer: A
A person is traveling at 40km/hr and reached his destiny in 5hr find the distance? Choose the correct choice from the following choices
A) A)200km  B) B)95km  C) C)135km  D) D)80km  E) E)125km

Solution: speed = 40km/hr   time = 5hr   distance = 40*5= 
40*5 = 200
200km   200kmnswer is 200km
Answer: A
If 125% of j is equal to 25% of k, 150% of k is equal to 50% of l, and 175% of l is equal to 75% of m, then 30% of m is equal to what percent of 200% of j ?
Choose the correct choice from the following answers:
A) 0.35	B) 3.5	C) 525	D) 350	E) 3500

Solution: IMO answer should be 350...   consider j=10, then k=50, l=150 and m=350....   30% of 350, comes out to be 105....   200% of 10 is 20....   (105*100)/20=525....   Ans : 525
Answer: C
A salesman sells two kinds of trousers: cotton and woollen. A pair of cotton trousers is sold at 30 profit and a pair of woollen trousers is sold at 50 profit. The salesman has calculated that if he sells 100 more woollen trousers than cotton trousers, his overall profit will be 45. However he ends up selling 50 more cotton trousers than woollen trousers. What will be his overall profit?  Choose the correct choice from the following options:
A) 37.5% B) 40% C) 41% D) 32.33% E) None of these

Solution: Explanation :   Let the cost price of 1 cotton trouser and 1 woollen trouser be ‘C’ and ‘W’ respectively.   Case I: Number of woollen trousers sold is 100% more than cotton trousers.   1.3C+1.5×2×W=1.45(C+2W).   =>0.15C=0.1W.   =>3C=2W.   Case II: Number of cotton trousers sold is 50% more than woollen trousers.   S.P=1.3C + 1.5 x (2W/3).   =>S.P=1.3C+W=2.8C.   And, C.P.=C+(2W/3)=2C.   Profit :-   =>(2.8C-2C)X100/2C.   =>40%.   Answer : 40%
Answer: B
Sixty men can stitch 200 shirts in 30 days working 8 hours a day. In how many days can 45 men stitch 300 shirts working 6 hours a day?
Choose the correct choice from the following answers:
A) 70
B) 90
C) 60
D) 80
E) 10

Solution: 80   80   We have M1 801 H1 / W1 = M2 802 H2 / W2 (Variation rule)   (60 * 30 * 8)/ 200 = (45 * 802 * 6) / 300   802 = (60 * 30 * 8 * 300) / (200 * 45 * 6) => 802 = 80.
Answer: D
In a certain code 'BEAMING' is written as 'BFCMHOJ' and 'CLEAR' is written as 'MDESB' How is 'TRAIL' written in that code?
Choose one: A) ASKDJS B) JKHHGJ C) HJGGK D) GKJJGG E) HGHXA

Solution: Answer: Option HJGGK
Answer: C
In a friendship gang Andrew has 8 gang, in how many ways can he invite one or more of the gang to his house?
Choose the correct option
A) 120	B) 255	C) 265	D) 270	E) 280

Solution: Andrew can select one or more than one of his 8 gang.   => Required number of ways = 28 – 1= 255.   255
Answer: B
How many integers from 40 to 200, inclusive, are divisible by 3 but not divisible by 7?  Choose the correct choice from the following options:
A) 20  B) 31  C) 35  D) 40  E) 45

Solution: We should find # of integers divisible by 3 but not by 3*7= 
3*7 = 21
21.   # of multiples of 21 in the range from 40 to 200, inclusive is   (189-42)/21+1= 
  (189-42)/21+1 = 8
8;    53-8= 
 53-8 = 45
45.   Answer: 45.
Answer: E
The height of two right circular cones are in the ratio 1:2 and their perimeters of their bases are in the ratio 3:4, the ratio of their volume is?	Choose the correct option
A) 9:38	B) 9:31	C) 9:32	D) 9:39	E) 9:35

Solution: 9:32   Answer:9:32
Answer: C
For an agricultural experiment, 300 seeds were planted in one plot and 200 were planted in a second plot. If exactly 25 percent of the seeds in the first plot germinated and exactly 30 percent of the seeds in the second plot germinated, what percent of the total number of seeds germinated?
Choose one: A) 27% B) 26% C) 29% D) 30% E) 60%

Solution: In the first plot 25% of 300 seeds germinated, so 0.25 x 300 = 75 seeds germinated.   In the second plot, 30% of 200 seeds germinated, so 0.30 x 200 = 60 seeds germinated.   Since 75 + 60= 
75 + 60 = 135
135 seeds germinated out of a total of 300 + 200= 
300 + 200 = 500
500 seeds, the percent of seeds that germinated is (135/500) x 100%, or 27%.   27%nswer: 27%.
Answer: A
If -3 < x < 0, which of the following must be true?
I. x^5 < x^2
II. x^5 < 5 – x^2
III. x^4 < x	Pick one:
A) I only	B) I and II only	C) I and III only	D) II and III only	E) I, II and III

Solution: I. x^5 < x^2 --> from -3 < x < 0 it follows that LHS<0<rhs, --="" 1="" <="" ii.="" is="" so="" statement="" this="" true.="" x="" x^5="" –=""> x^2(x^3+1) < 5 --> positive*negative < 0 < 1, so this statement is also true.   III. x^4 < x --> since -3 < x< 0 means x is negative and x^4 would always be positive, then this statement is false   Answer: I and II only.</rhs,>
Answer: B
A patient was given a bottle of tablets by the doctor and he was asked to take five tablets in a gap of 10 minutes.
In how much time will he be able to take all the five tablets?	Select the correct option.
A) 1 Hour.	B) 40 min	C) 50 min	D) None	E) Cannot be determined

Solution: Suppose he takes the first tablet at 8:00 pm. Then the second will be consumed by him at 8:10, third at 8:20, fourth at 8:30 and fifth at 8:40.   Time = 40 min   Answer 40 min
Answer: B
If a choir consists of 2 boys and 5 girls, in how many ways can the singers be arranged in a row, so that all the boys are together? Do not differentiate between arrangements that are obtained by swapping two boys or two girls.	Choose the correct option:
A) 120 B) 30 C) 24 D) 11 E) 6

Solution: There are 6 possibilities:   bbgggggg   gbbggggg   ggbbgggg   gggbbggg   ggggbbgg   gggggbbg   ggggggbb   Think of all 2 boys as a single unit. Together with 5 girls it makes a total of 6 units. The difference between the arrangements is the position of the boys (as a single unit). So the problem reduces to finding the number of unique patterns generated by changing the position of the boys who can occupy 1 of 6 available positions. If the number of available unique positions is 6, then the number of unique patterns equals 6 as well.   Answer: 6.
Answer: E
If an item that originally sold for z dollars was marked up by x percent and then discounted by y percent, which of the following expressions represents the final price of the item?	Select the correct option:	A) (10,000z + 100z(x – y) – xyz)/10,000	B) (10,000z + 100z(y – x) – xyz)/10,000	C) (100z(x – y) – xyz)/10000	D) (100z(y – x) – xyz)/10000	E) 10000 /(x – y)

Solution: Z * (1+(x/100)) * (1-(y/100))   Z* (100+x/100) * (100-y/100)   (100Z + ZX)/100 * (100-y/100)   [10,000Z + 100 ZX - 100 ZY - XYZ] /10,000   [10,000Z +100Z (X - Y) - XYZ] / 10,000   Choice (10,000z + 100z(x – y) – xyz)/10,000
Answer: A
What is the rate percent when the simple interest on Rs.2000 amount to Rs.320 in 4 Years? Choose the correct choice from the following.
A) 4.5%	B) 4.25%	C) 4%	D) 4.3%	E) 4.1%

Solution: Interest for 1 year = 320/4= 
320/4 = 80
80   Interest on Rs 2000 p/a= 80   interest rate = 80/2000*100= 
80/2000*100 = 4
4%   Answer : 4%
Answer: C
A train 110 m long is running with a speed of 27 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?  Choose the correct choice from the following
A) 7 sec	B) 6 sec	C) 8 sec	D) 4 sec	E) 12 sec

Solution: Speed of train relative to man = 27 + 6= 
27 + 6 = 33
33 km/hr.= 33 * 5/18 = 9.1667 m/sec.   Time taken to pass the men = 110 /9.1667   = 12 sec.   Answer:12 sec
Answer: E
The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.0 cm. What is the area of the triangle?  Options:
A) 28 cm2  B) 27 cm2  C) 29 cm2  D) 25 cm2  E) 35 cm2

Solution: Area of a triangle = r * s   Where r is the inradius and s is the semi perimeter of the triangle.   28 cm2rea of triangle = 2.0 * 28/2= 
2.0 * 28/2 = 28
28 cm2   28 cm2nswer: 28 cm2
Answer: A
In what time a sum of money double itself at 3% per annum simple interest?	Choose the most appropriate option
A) 36 1/3%	B) 33 1/3%	C) 33 1/6%	D) 63 1/3%	E) 23 1/3%

Solution: P = (P*3*R)/100   R = 33 1/3%   Answer: 33 1/3%
Answer: B
The distance between two cities A and B is 1140 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet? Choices
A) 09 AM
B) 07 AM
C) 11 AM
D) 05 PM
E) 03 PM

Solution: Explanation:   Suppose they meet x hrs after 8 a.m   then,   [Distance moved by first in x hrs] + [Distance moved by second in (x-1) hrs] = 1140.   Therefore, 60x + 75(x-1) = 1140.   => x=9.   So,they meet at (8+9) i.e, 5PM   Answer: 05 PM
Answer: D