MU-NLPC/Calc-aqua_rat huggingface dataset:
Among a group of 2500 people, 35 percent invest in municipal bonds, 18 percent invest in oil stocks, and 7 percent invest in both municipal bonds and oil stocks. If 1 person is to be randomly selected from 2500 people, what is the probability that the person selected will be one who invests in municipal bonds but not in oil stocks Choose the correct choice from the following answers:	A) 7/29	B) 7/25	C) 7/23	D) 7/22	E) 7/21

Solution: Ans: Here 2500 does not require.   From the diagram we know that only ones who invested in municipal bonds are 28%, the probability is 28 / 100   = 7/25   Answer:7/25
Answer: B
The overall age of X and Y is 15 year greater than the overall age of Y and Z. Z is how many decades younger that X?	Select:	A) 11	B) 15	C) 12	D) 17	E) 19

Solution: 15   15   (X + Y) â€“ (Y + Z) = 15   X â€“ Z = 15
Answer: B
In a party attended by 11 persons, each clinch their glass with every other. How many glass clinches?
Choose the correct choice from the following choices
A) 51 B) 52 C) 53 D) 54 E) 55

Solution: Total no. of person = 11   Total no. of glass clinches = n(n-1)/2   =11*10/2= 
11*10/2 = 55
55   ANSW55R:55
Answer: E
The 280 students in a group are to be seated in rows so that there is an equal number of students in each row. Each of the following could be the number of rows EXCEPT  Pick one: A) 4 B) 20 C) 30 D) 40 E) 70

Solution: Obviously the number of rows must be a factor of 280. The only option which is not a factor of 280 is C (30).   Answer: 30.
Answer: C
How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length?	Choose the most appropriate option:
A) 62  B) 72  C) 55  D) 82  E) 62

Solution: Explanation:   T = (660 + 165)/54 * 18/5= 
(660 + 165)/54 * 18/5 = 55
55   Answer: Option 55
Answer: C
A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?  Choose the correct choice from the following
A) 177 m	B) 189 m	C) 120 m	D) 178 m	E) 188 m

Solution: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec   = 20 m/sec.   Length of the train = 20 * 6= 
20 * 6 = 120
120 m.   Answer: 120 m
Answer: C
A lawn has equally distributed grass. It takes 24 days to 70 cows and 60 days to 30 cows to eat the whole of grass. How many cows will be needed to eat the grass in 96 days. Select the correct option.
A) 20
B) 30
C) 40
D) 50
E) 60

Solution: g - grass at the beginning   r - rate at which grass grows, per day   y - rate at which one cow eats grass, per day   n - no of cows to eat the grass in 96 days   g + 24*r = 70 * 24 * y   g + 60*r = 30 * 60 * y   g + 96*r = n * 96 * y   Solving, n = 20.   20NSWER:20
Answer: A
Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is? Choose the correct choice from the following options:  A) 25  B) 22  C) 36  D) 12  E) 26

Solution: Let the speed of each train be x m/sec.   Then, relative speed of the two trains = 2x m/sec.   So, 2x = (120 + 120)/12 => x = 10   Speed of each train = 10 m/sec.   = 10 * 18/5 =- 36 km/hr.   Answer:36
Answer: C
The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?	Choose the correct choice from the following choices: A) 2:5 B) 2:8 C) 2:1 D) 2:4 E) 2:2

Solution: The volume of the cone = (1/3)πr2h   Only radius (r) and height (h) are varying.   Hence, (1/3)π may be ignored.   V1/V2 = r12h1/r22h2 => 1/10 = (1)2h1/(2)2h2   => h1/h2 = 2/5   i.e. h1 : h2 = 2:5   2:5nswer:2:5
Answer: A
A completes a work in 12 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be ?	Choose the correct choice from the following options.
A) 8 days
B) 10 days
C) 18 days
D) 28 days
E) 30 days

Solution: If A can complete a work in x days and B can complete the same work in y days, then, both   of them together can complete the work in x y/ x+ y days   Therefore, here, the required number of days = 12 × 24/ 36 = 8 days.   8 days)
Answer: A
The citizens of planet nigiet are 5 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 5) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings? Express result in terms of base 10.	Answers:
A) 54
B) 64
C) 75
D) 85
E) 100

Solution: no of 3s b/w 1-99 is 20,100-199 is 20 and so on. so leavn d range b/w 300-399 total no of 3s is(9*20=)180. no of 3s b/w 300-399 is(20+100=)120.   total no of 3s b/w 1-1000=120+180= 
120+180 = 300
300   in base 10 300=3*5^2=75.   ANSWER:75
Answer: C
If a and b are positive even integers, and the least common multiple of a and b is expressed as a*b/t, which of the following statements could be false?	Select
A) n is a factor of both a and b	B) (a*b)/n < ab	C) ab is multiple of 2.	D) (a*b)/n is a multiple of 2.	E) t is a multiple of 4.

Solution: If we divide bynand get a multiple ofaand ofb, then t must be a common factor. Answer A must be true.   Ifaandbare even integers, dividing by a factor (also an integer) results in something smaller than the productab. Answer B must be true.   If eitheraorbis even, thenabmust be even. Answer C must be true.   If both are even, the smallest either number can be is 2. Thus, the smallest common factor must be 2. Answer D must be true.   Ifbis 6 andais 2,nwould be 6, which is not 4. t is a multiple of 4. can be false.
Answer: E
If s, t, and p are positive numbers such that (s/(s+t))(10) + (t/(s+t))(20)=p and if s<t which of the following could be the value of p?  Choose the most appropriate option:
A) 10
B) 12
C) 15
D) 18
E) 30

Solution: The answer is D. For any positive s and t, p is a number between 10 and 20. Since s < t, weight of 10 is inferior of weight of 20 -> p is > 15 -> 18 is the answer.
Answer: D
From a well shuffled deck of cards, what would be the probability that you would draw a two or a spade?  Choose the correct answer
A) 4 in 12 B) 4 in 10 C) 4 in 13 D) 4 in 8 E) 4 in 16

Solution: P(4 in 13)+P(2)-P(4 in 13n2)   P(4 in 13u2)=13/52 + 4/52 - 1/52 = 4/13
Answer: C
What is the minimum percentage increase in the mean of set S {-4, -1, 0, 6, 9} if its two smallest elements are replaced with two different primes? Choose the correct choice:
A) 25% B) 50% C) 75% D) 100% E) 200%

Solution: Mean of S is (-4-1+0+6+9)/5= 
(-4-1+0+6+9)/5 = 2
2;   In order the increase to be minimal we should replace two smallest elements of S, which are -4 and -1, with two smallest primes, which are 2 and 3. Hence our new set will be {2, 3, 0, 6, 9} --> new mean is   (2+3+0+6+9)/5= 
  (2+3+0+6+9)/5 = 4
4.   Percent increase=(4-2)/2*100= 
(4-2)/2*100 = 100
100%.   Answer: 100%.
Answer: D
In measuring the sides of a rectangle, one side is taken 5% in excess, and the other 4% in deficit. Find the error percent in the area calculated from these measurements.	Choose the correct choice
A) 0.11%	B) 0.7%	C) 0.4%	D) 0.6%	E) 0.8%

Solution: Let x and y be the sides of the rectangle. Then, Correct area = xy.   Calculated area = (105/100) x (96/100) y = (504/500 )(xy)   Error In measurement = (504/500)xy- xy = (4/500)xy   Error percentage = [(4/500)xy (1/xy)100] % = (4/5)= 
(4/5) = 4/5 = around 0.8
0.8%.   Answer is 0.8%.
Answer: E
Of the goose eggs laid at a certain pond, 1/2 hatched and 3/4 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?	Choose the correct choice:
A) 800
B) 840
C) 880
D) 920
E) 960

Solution: Let x be the number of eggs that were laid.   (2/5)(3/4)(1/2)x = 120   (6/40)x = 120   x = 800   The answer is 800.
Answer: A
In a fuel station the service costs $2.10 per vehicle and every liter of fuel costs $0.60. Assuming that you fill up 3 mini-vans and 2 trucks, what will be the total cost, if a mini-van's tank is 65 liters and a truck's tank is 120% bigger and they are all empty?	Pick:
A) $287.50
B) $290.40
C) $293.30
D) $296.20
E) $299.10

Solution: The service cost of 3 vans and 2 trucks is 5*2.10 $10.50   The fuel in 3 vans is 3*65= 
3*65 = 195
195 liters   The fuel in 2 trucks is   2*65*2.2= 
  2*65*2.2 = 286
286 liters   The total fuel (vans + trucks)= 481 liters   The total fuel cost is 481*0.6= 
481*0.6 = 288.6
$288.60   The total cost is $288.60 + $10.50 = $299.10   The answer is $299.10. 288.60 +  10.50= 
 288.60 +  10.50 = 299.1
$299.10   The answer is $299.10.
Answer: E
If x + (1/x) = 5, what is the value Q of x^2 + (1/x)^2? Choose the most appropriate option
A) Q=21
B) Q=22
C) Q=23
D) 24
E) 27

Solution: Squaring on both sides,   x^2 + (1 /x)^2 + 2(x)(1/x) = 5^2   x^2 + (1 /x)^2 = 23   Answer: Q=23
Answer: C
For how many unique pairs of nonnegative integers {a, b} is the equation a^2 - b^2 = 25 true?  Choose the correct choice from the following answers
A) 1	B) 3	C) 5	D) 2	E) 9

Solution: Answer 2   (a+b)(a-b)=25   5cases For (a+b), (a-b)   25, 1   5, 5   Answer 2
Answer: D
Find a 8 digit number that if multiplied by the number 9 or any of its multiplications products (18, 27, 36, 45,..) will result in the multiplication factor repeated (n) number of times. Select the correct option
A) 12435687	B) 12345679	C) 10000000	D) 99999999	E) 11111111

Solution: 12345679   The number is: 12345679   12345679 * 9= 
12345679 * 9 = 111_111_111
111111111   12345679 * 18= 
12345679 * 18 = 222_222_222
222222222   12345679 * 27= 
12345679 * 27 = 333_333_333
333333333
Answer: B
25 people went to a hotel for combine dinner party 15 of them spent Rs. 5 each on their dinner and rest spent 4 more than the average expenditure of all the 25. What was the total money spent by them.	Choose the correct choice from the following.
A) 1628.4
B) 1534
C) 1492
D) 158.25
E) None of these

Solution: Solution: Let average expenditure of 25 people be x.   then,   25x = 15*5+10*(x+4);   Or, 25x = 15*5+10x+20;   Or, x = 6.33;   So, total money spent = 6.33*25 = Rs. 158.25.   Answer: Option 158.25
Answer: D
In how many ways can the letters of the word CODD be arranged?  Choose the correct choice from the following answers.
A) 15 B) 16 C) 12 D) 13 E) 10

Solution: CODD has 4 words, but d is repeated two times. Thus ways = 4! / 2! = 12 ways   12
Answer: C
A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Answers
A) 90 m	B) 100 m	C) 120 m	D) 140 m	E) 150 m

Solution: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec.   Length of the train = 20 * 6= 
20 * 6 = 120
120 m.   ANSWER:120 m
Answer: C
A pump can fill a tank with water in 8 hours. Because of a leak, it took 9 hours to fill the tank. The leak can drain all the water in ?  Pick one
A) 15hr 10min
B) 16hr 20min
C) 17hr 30min
D) 72hr
E) 14hr 25min

Solution: Work done by the leak in 1 hour = 1/8 - 1/9 = 1/72   Leak will empty the tank in 72 hrs =   Answer is 72hr
Answer: D
Of the integers between 200 and 799, inclusive, how many do not have digit 2 and 5?	Choose the correct option:
A) 316
B) 256
C) 410
D) 426
E) 520

Solution: Options for the first digit 6-2(2 and 5)=4;   Options for the second digit 10-2= 
10-2 = 8
8;   Options for the third digit   10-2= 
  10-2 = 8
8;   Total numbers possible 4*8*8= 
4*8*8 = 256
256.   Answer: 256.
Answer: B
In a class of 50 students, 20 play Rugby, 15 play Cricket and 11 play Football. 7 play both Rugby and Cricket, 4 play Cricket and Football and 5 play Rugby and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?  Choices: A) 46 B) 667 C) 45 D) 24 E) 10

Solution: Notice that7 play both Rugby and Cricket does not mean that out of those 7, some does not play Football too. The same for Cricket/Football and Rugby/Football.   [color=#ffff00]{Total}={Rugby}+{Cricket}+{Football}-{HC+CH+HF}+{All three}+{Neither}For more checkADVANCED OVERLAPPING SETS PROBLEMS   [/color]   50=20+15+11-(7+4+5)+{All three}+18 --> {All three}=2;   Those who play ONLY Rugby and Cricket are  7-2= 
 7-2 = 5
5;   Those who play ONLY Cricket and Football are  4-2= 
 4-2 = 2
2;   Those who play ONLY Rugby and Football are   5-2= 
  5-2 = 3
3;   Hence, 5+2+3=10 students play exactly two of these sports.   Answer: 10.
Answer: E
A fill pipe can fill 2/5 of cistern in 30 minutes in how many minutes, it can fill 4/5 of the cistern?
Choose the correct choice:
A) 48 min B) 63 min C) 25 min D) 30 min E) 60 min

Solution: 2/5 of the cistern can fill in 30 min   4/5 of the cistern can fill in = 30*5/2*4/5= 
30*5/2*4/5 = 60
60min   Answer is 60 min
Answer: E
The ratio of radius of a circle and the side of a square is 2 : 5. Find the ratio of their areas:	Answers:	A) 2 : 1	B) 4 : 25	C) 8 : 77	D) 4 : 121	E) None

Solution: radius/side = 2/5   â‡’ area of circle/area of square= 4/25   Answer: 4 : 25
Answer: B
The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?	Choose the most appropriate option.
A) 7 months B) 10 months C) 9 months D) 11 months E) 13 months

Solution: 7*5: 5*x = 7:10   x = 10   ANSWER:10 months
Answer: B
A can do a job in 15days and B in 20days. If they work on it together for 3 days, then the fraction of the work that is left is? Choose the correct choice:
A) 2/15
B) 8/15
C) 13/20
D) 1/12
E) 6/13

Solution: A's 1 day work = 1/15   B's 1day work = 1/20   A+B 1day work = 1/15 + 1/20  +  1= 
 +  1 = 1
1/15 + 1/20= 7/60   A+B 3days work = 7/60*3 = 7/20   Remaining work = 1 - 7/20 = 13/20   Answer is 13/20
Answer: C
In a certain company, a third of the workers do not have a retirement plan.60% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 120 of the workers of that company are men, how many of the workers are women? Choose one
A) 80  B) 95  C) 180  D) 120  E) 210

Solution: Set up equation:   x = total number of workers   120 = 0,4 * 2/3 * x + 0,4* 1/3 * x   120 = 12/30 x   x = 300   300 - 120= 
300 - 120 = 180
180   Answer 180
Answer: C
There are two concentric circles with radii 8 and 4. If the radius of the outer circle is increased by 25% and the radius of the inner circle decreased by 25%, by what percent does the area between the circles increase?  Options:
A) 75
B) 80
C) 85
D) 90
E) 95

Solution: The area of a circle is piR^2, where R is the radius.   The area of the big circle is 64pi.   The area of the small circle is 16pi.   The area A1 between the circles is 48pi.   When the big circle's radius increases, the new area is 100pi.   When the small circle's radius decreases, the new area is 9pi.   The area A2 between the circles is 91pi.   The ratio of A2/A1 is 91/48 = 1.9 which is an increase of 90%.   The answer is 90.
Answer: D
You and your friend spent a total of $15 for lunch. Your friend spent $1 more than you. How much did your friend spend on their lunch? Choose the correct answer:
A) $9  B) $8  C) $4  D) $6  E) $5

Solution: My lunch = l, my friends lunch = l+1   (l)+(l+1)=15   l+l+1-1=15-1   2l=14   l=7   My friends lunch l+1 = 7+1= 
7+1 = 8
$8, the answer is $8
Answer: B
There is a 100 pound watermelon laying out in the sun. 99 percent of the watermelon's weight is water. After laying out for a few hours 98 percent of the watermelon's weight is water.
How much water evaporated? Choose one:  A) 20  B) 30  C) 40  D) 50  E) 10

Solution: In the beginning it is 99 pounds water and 1 pound other stuff. At the end the 1 pound other stuff is 2 percent so the total weight is 50 pounds. 50 pounds - 1 pound other stuff = 49 pounds water. So 99 pounds - 49 pounds = 50 pounds water lost.
Answer: D
5 identical snow plows can clear an iced parking lot in 4 hours. How long would it take 6 such snow plows to clear the same parking lot?
Choose the correct option
A) 3 hour, 10 minutes B) 2 hours, 30 minutes C) 3 hours D) 7 hours, 30 minutes E) 10 hourss

Solution: 6/5 as many plows will take 5/6 as many hours --> 4*5/6=10/3 hours =3 hours, 10 minutes.   3 hour, 10 minutesnswer: 3 hour, 10 minutes.
Answer: A
In a class of 210 students, 70 did not opt for math. 55 did not opt for science and 42 did not opt for either. How many students of the class opted for both math and science? Choose the correct choice from the following:
A) 123  B) 125  C) 127  D) 137  E) 148

Solution: 210 students total   70 did not opt for math   55 did not opt for science   42 did not opt for either   Total of 140 students in math and 13 did not opt for sci but did for math    140-13= 
 140-13 = 127
127   127 students of the class opted for both math and science   Answer:127
Answer: C
A boy is playing with a wheel of 16 inches diameter rotating at x inches/min. Another boy is playing with a wheel of 32 inches diameter moving at the rate of y inches/min. Fin the value of x in terms of y if both the wheels cover the distance at same time. Choose the correct choice from the following choices:
A) 2y/4
B) 3y/7
C) 4y/8
D) 2y/10
E) 1y/2

Solution: t=S1/V1=S2/V2   or 16/x=32/y   or x=16y/32=y/2   Answer is 1y/2
Answer: E
A departmental store charges the commission of 15 percent on the first sale of items worth $50,000 and then an additional 10 percent on any sale price that exceeds the initial $50,000. If the department store earned $26,000 in commissions for the sale of a series of diamonds, what was the sale price of the diamond set?	Choose the correct choice from the following choices: A) $235,000 B) $365,000 C) $115,000 D) $240,000 E) $160,000

Solution: 26,000 = 0.15 *(50000) + 0.10 (x - 50000)   26000 - 7500 = 0.10 (x-50000)   185000 = x - 50000   x = 2,35,000   $235,000nswer : $235,000
Answer: A
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day should 4 pumps work in order to empty the tank in 1 day?	Choose the most appropriate option:
A) 10 B) 12 C) 8 D) 15 E) 18

Solution: Explanation:   Let the required hours needed be x   More pumps, less hours (Indirect proportion)   More Days, less hours (Indirect proportion)   Hence we can write as   (pumps)3:4   (days) 2:1}: : x : 8   ⇒3×2×8=4×1 × x   ⇒3×2×2= x   ⇒x=12   Answer: Option 12
Answer: B
A set of numbers has the property that for any number t in the set,t+4 is in the set. If -3 is in the set, which of the following must also be in the set? I. 9 II. 2 III. 4  Choose the most appropriate option:  A) II,III only  B) I only  C) I,III only  D) II only  E) III only

Solution: question is asking for must be there elements.   According to the question if t is there t+4 must be there.   if -3 is the starting element the sequence is as follows.   S ={-3,1,5,9....}   if -3 is not the starting element the sequence is as follows   S = {...-7,-3,1,5,9...}   By observing the above two sequences we can say that 9 must be there in set S.   Answer : I only
Answer: B
If k > 0, x + 2k = y, and y + 4k = z, what is the ratio between z - x and y - x ?
Choose the correct choice from the following answers:
A) 1 to 4
B) 1 to 2
C) 2 to 1
D) 3 to 1
E) 4 to 1

Solution: y-x = 2k   z-y = 4k   Let's add the two equations together:   z-x = 6k   The ratio of z-x to y-x is 6:2 = 3:1.   The answer is 3 to 1.
Answer: D
What is the remainder when you divide 2^200+2 by 7?	Choose one.
A) 1  B) 2  C) 3  D) 6  E) 5

Solution: answer is D. this is very similar to the 32^32^32+2 divided by 7 question.
Answer: D
A part of certain sum of money is invested at 9% per annum and the rest at 12% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is? Pick one: A) 4:5 B) 4:2 C) 4:3 D) 4:9 E) 4:1

Solution: 12:9   = 4:3   Answer:4:3
Answer: C
In a group of pigs and hens, the number of legs are 22 more than twice the number of heads. The number of pigs is  Answers.
A) 5	B) 7	C) 10	D) 12	E) 11

Solution: Explanation:   Let the number of pigs be x and the number of hens be y.   Then, 4x + 2y = 2 (x + y) + 22   4x + 2y = 2x + 2y + 22   2x = 22   x = 11   Answer: 11
Answer: E
Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.2120?	Choose the most appropriate option
A) Rs.1000.15 B) Rs.1100.95 C) Rs.1892.85 D) Rs.1050.85 E) Rs.1200.25

Solution: 2120 = P [1 + (5*12/5)/100]   P= 1892.85   ANSWER:Rs.1892.85
Answer: C
The diagonal of a rhombus are 65 m and 60 m. Its area is:
Choose the correct choice from the following
A) 1940 B) 1950 C) 1960 D) 1990 E) 1980

Solution: Area of the rhombus = 1/2 d1d2 = ( 1/2 × 65 × 60 ) Cm(power)2   = 65 × 30 = 1950 Cm(power)2   Answer is 1950.
Answer: B
If 7a = 8b and ab ≠0, what is the ratio of a/8 to b/7?  Pick one:
A) 16/14  B) 8/7  C) 1  D) 7/8  E) 64/49

Solution: A nice fast approach is the first find a pair of numbers that satisfy the given equation: 7a = 8b   Here's one pair: a =8 and b =7   What is the ratio of a/8 to b/7?   In other words, what is the value of (a/8)/(b/7)?   Plug in values to get: (a/8)/(b/7) = (8/8)/(7/7)= 
(8/8)/(7/7) = 1
1/1= 
1/1 = 1
1   1
Answer: C
There are 35 students in a hostel. If the no. of students increases by 4, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess? Choose the correct choice from the following options
A) s. 99.75 B) s. 89.75 C) s. 72.75 D) s. 58.75 E) s. 49.75

Solution: Suppose the average join the mess , total expenditure = 35x + 42   Now, the average expenditure = (35x + 42)/ (35 + 4) = x – 1   or, 35x + 42 = 39x – 39   or, x = 20.25   Thus the original expenditure of the mess = 35 x 20.25=708.75   Therefore x-1 = 19.25   hence 42 x 19.25 = 808.50   808.50 - 708.75 = Rs. 99.75   s. 99.75
Answer: A
A total of 520 players participated in a single tennis knock out tournament. What is the total number of matches played in the tournament? (Knockout means if a player loses, he is out of the tournament). No match ends in a tie.  Choose the correct choice from the following options.
A) 511  B) 519  C) 256  D) 255  E) 1023

Solution: There are 520 players, only 1 person wins, 519 players lose. in order to lose, you must have lost a game.   519 games.   Ans- 519
Answer: B
A number when divided by 342 gives a remainder 38, what remainder will be obtained by dividing the same number 21?	Select:
A) 7
B) 6
C) 9
D) 2
E) 3

Solution: Explanation:   342 + 38= 
342 + 38 = 380
380/21= 2 (Remainder)   Answer: 2
Answer: D
A policeman spotted a criminal from a distance of 200 metres. When the policeman starts the chase, the criminal also starts running. If the criminal was running at 10 km/hr and the policeman was chasing at the speed of 12 km/hr, find the distance the criminal will run before he is catched by the policeman ? Choose the correct choice from the following options: A) 1.5 km B) 700 m C) 900 m D) 1 km E) None of these

Solution: Explanation :   Solution: Relative speed = (12 - 10)= 
(12 - 10) = 2
2 km/hr.   Time taken by policeman to cover 200 m= (200/1000 * 1/2) hr   = 1/10 hr.   In 1/10 hrs, the criminal covers a distance of   (10*1/10)= 
  (10*1/10) = 1
1 km.   Answer : 1 km
Answer: D
Gokul had 100 currency notes in all, some of which are of Rs 60 denomination and the remaining of Rs 50 denomination. The total amount of all these currency notes was Rs. 5000. How much amount (in Rs) did he have in the denomination of Rs 50? Choose the correct option
A) 109  B) 95  C) 106  D) 100  E) 105

Solution: Let the number of 50-rupee notes = x   Then, the number of 60-rupee notes = (100 – x)   50x + 60(100 – x) = 5000 : x = 71   ANSWER:100
Answer: D