MU-NLPC/Calc-aqua_rat huggingface dataset:
SI on a certain sum of money for 3 yrs at 8 percent /annum is 1/2 the CI on Rs.4000 for 2 yrs at 10 percent/ annum. The sum placed on SI is?	Select:
A) Rs. 1700  B) Rs. 1720  C) Rs. 1750  D) Rs. 1850  E) Rs. 2000

Solution: C.I.   = Rs. 4000 x 1 + 10 2 - 4000   100   = Rs. 4000 x 11 x 11 - 4000   10 10   = Rs. 840.   Sum = Rs. 420 x 100 = Rs. 1750.   3 x 8   Rs. 1750
Answer: C
P is 30% more efficient than Q. P can complete a work in 23 days. If P and Q work together, how much time will it take to complete the same work?	Options.
A) 9	B) 11	C) 13	D) 15	E) 17

Solution: Explanation :   Work done by P in 1 day = 1/23   Let work done by Q in 1 day = q   q × (130/100) = 1/23   => q = 100/(23×130) = 10/(23×13)   Work done by P and Q in 1 day = 1/23 + 10/(23×13) = 23/(23×13)= 1/13   => P and Q together can do the work in 13 days   Answer : Option 13
Answer: C
A shopkeeper purchased an article at 20% discount on list price, he marked up his article in such a way that after selling the article at 20% discount, he gained 20% on SP. what % is SP of the list price?  Select:  A) 94  B) 95  C) 96  D) 97  E) 98

Solution: Let L.P = 100 ==> C.P = 80. He gains 20% on S.P ==> S.P = 96.   ANSWER:96
Answer: C
A shipment of 1500 heads of cabbage, each of which was approximately the same size, was purchased for $600. The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head. The following day the rest were sold at a price equal to 15% less than the price each head sold for on the day before. What was the total gross profit on this shipment.	Choose the correct choice from the following answers:
A) $100
B) b $115
C) c $125.5
D) d $130
E) e $112.5

Solution: Purchase cost = 600/1500= 
600/1500 = 2/5 = around 0.4
$ 0.4   25% above the cost per head= (125/100)*0.4= 
(125/100)*0.4 = 0.5
$ 0.5   2/3 of the heads were sold means 2/3*1500= 
2/3*1500 = 1_000
1000 ,Selling amount for 1000 cabbage= 1000 * 0.5= 
1000 * 0.5 = 500
$ 500   Remaining were sold at a price equal to 10% less than the price each head sold for on the day before i.e , (85/100)*0.5= $ 0.425   Hence selling cost for the remaining cabbage = 500 * 0.45 = $ 212.5   Total selling cost = 500 + 212.5= 
500 + 212.5 = 712.5
$ 712.5   Gross profit= $ 712.5 - $ 600 = $ 112.5   Hence Answer is e $112.5
Answer: E
What sum of money put at C.I amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?  Choose the correct choice from the following choices
A) 8000	B) 2881	C) 2664	D) 2667	E) 2121

Solution: 8820 ---- 441   100 ---- ? => 5%   x *105/100 * 105/100 = 8820   x*1.1025=8820   x=8820/1.1025 => 8000.8000nswer: 8000
Answer: A
P works twice as fast as Q. If Q alone can complete a work in 12 days, P and Q can finish the work in --- days
Options:
A) 5
B) 1
C) 2
D) 3
E) 4

Solution: Work done by Q in 1 day = 1/12   Work done by P in 1 day = 2 × (1/12) = 1/6   Work done by P and Q in 1 day = 1/12 + 1/6 = ¼   => P and Q can finish the work in 4 days   Answer is 4.
Answer: E
The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday?	Answers
A) 34  B) 55  C) 66  D) 81  E) 21

Solution: M + Tu + W + Th = 4 * 48= 
4 * 48 = 192
192   Tu + W + Th + F= 4 * 46= 
4 * 46 = 184
184   M= 42   Tu + W + Th = 192 -42= 
192 -42 = 150
150   F= 184 – 150 = 34.34nswer: 34
Answer: A
Eight identical machines can produce 360 aluminum cans per hour. If all of the machines work at the same constant rate, how many cans could 5 such machines produce in 7 hours?  Options
A) 675	B) 750	C) 1,800	D) 5,900	E) 1,575

Solution: 8 machines/ 360 cans = 5 machines/ x cans   8x= 1800   x=225   (225)(7 hours)= 1575 cans. The answer is 1,575.
Answer: E
Sound is said to travel in air at about 1100 feet per second. A man hears the axe striking the tree, 11/5 seconds after he sees it strike the tree. How far is the man from the wood chopper ?
Pick.
A) 2420 ft  B) 2524 ft  C) 2600 ft  D) 2740 ft  E) None of these

Solution: Explanation :   Distance = [1100 * 11/5= 
1100 * 11/5 = 2_420
2420 feet.   2420 ftnswer : 2420 ft
Answer: A
Line P has a positive slope and a positive y-intercept. Line Q also has a positive slope and a positive y-intercept. The two slopes and the two y-intercepts are four different numbers, none equal. Lines P & Q have a single intersection point — what is the full set of possible quadrants in which the intersection point could be? Choose the correct answer:	A) I only	B) I & III only	C) I & II only	D) I & II & III onl	E) all four quadrants possible

Solution: If you forget quadrants, take a look at this post. This is a tricky one, because you have to be careful to think about all cases. The first important point to realize is: any line with both a positive slope and a positive y-intercept goes through quadrants I & II & III, but never quadrant IV. Neither of these lines is ever in Quadrant IV, so they can’t intersect there. As it turns out, for different values of the slope, they can intersect in any of the other three quadrants.   Therefore, the answer = (I & II & III onl)
Answer: D
A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 35%?  Choose the correct choice from the following options.
A) 600	B) 887	C) 256	D) 654	E) 675

Solution: Cost price = Rs.500   profit = 35% of 500 = Rs.175   Selling price = Cost price + Profit   = 500 + 175= 
500 + 175 = 675
675   Answer: 675
Answer: E
How many ways can the letters in the word COMMON be arranged?	Choose the correct answer.
A) 6 B) 30 C) 90 D) 120 E) 180

Solution: According to the above the # of permutations of 6 letters COMMON out of which 2 O's and 2 M's are identical is 6!2!∗2!=180   Answer: 180.
Answer: E
The angle between the minute hand and the hour hand of a clock when the time is 4.20° is  Choose the correct option:	A) 0°	B) 5°	C) 10°	D) 20°	E) None

Solution: Sol.   Angle traced by hour hand in 13/3 hrs = (360/12 x 13/3)° = 130°   Angle traced by min. hand in 20 min. = (360/60 x 20)° = 120°   ∴ Required angle = (130 - 120)= 
(130 - 120) = 10
10°   Answer 10°
Answer: C
Two spherical balls lie on the ground touching. If one of the balls has a radius of 4 cm, and the point of contact is 6 cm above the ground, what is the radius of the other ball?
Pick
A) 10 cm B) 12 cm C) 14 cm D) 16 cm E) 18 cm

Solution: similar triangle properties..   2/r+4 = 4/r-4   giving r = 14.   Answer: 14 cm
Answer: C
4 weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 14 weavers in 14 days?  Options.
A) 40  B) 45  C) 49  D) 53  E) 58

Solution: 1 weaver can weave 1 mat in 4 days.   14 weavers can weave 14 mats in 4 days.   14 weavers can weave 49 mats in 14 days.   The answer is 49.
Answer: C
The chance of rain on any given day in Tel-Aviv is 50%. What is the probability A that it rained in Tel-Aviv on exactly 4 out of 6 randomly chosen days?	Choose the correct choice:
A) 15/64
B) 30/64
C) 1/2
D) 1/4
E) 52/64

Solution: chances of rain on exactly 4 days and not rain on 2 days = (1/2)^4* (1/2)^2 = 1/64   Chosing 4 days out of 6 = 6!/(4!*2!) = 15   chances of rain on exactly 4 days out of 6 days 15/64= 15/64   15/64ns 15/64 it is.
Answer: A
If X is invested in a bank at a rate of simple interest of y% p.a. for two years, then the interest earned is 400. if X is invested at y% p.a., for two years when the interest is compounded annually, the interest is 410. What is the value of X?  Answers
A) 8000  B) 6000  C) 5000  D) 4000  E) 3000

Solution: Simple way to solve this question is to use options.   From SI, we know that X*y=20,000.   Now, put the value of X = 4000, we will have y = 5%   To calculate CI,   Now, we know 1st year Amount= 4000+5% of 4000= 4200.   2nd year, Amount = 4200 + 5% of 4200 = 4410.   We can see after 2 years Interest = 4410-4000= 
4410-4000 = 410
410. hence, it satisfies the question. Hence 4000 is the correct answer
Answer: D
Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour?	Select: A) 60 min B) 18 min C) 37 min D) 20 min E) 21 min

Solution: In 1hr, the bus covers 60 km without stoppages and 40 km with stoppages.   Stoppage time = time take to travel (60 - 40) km i.e 20 km at 60 km/hr.   stoppage time = 20/60 hrs = 20 min.   Answer:20 min
Answer: D
What is the product of all the numbers in the dial of a telephone ? Select the correct option:
A) 0
B) 53231
C) 12312445
D) 451231
E) 461231

Solution: 0nswer : 0   Since one of the numbers on the dial of a telephone is zero, so the product of all the numbers on it is 0.
Answer: A
Sabrina is contemplating a job switch. She is thinking of leaving her job paying $90,000 per year to accept a sales job paying $45,000 per year plus 15 percent commission for each sale made. If each of her sales is for $1,500, what is the least number of sales she must make per year if she is not to lose money because of the job change? Pick:
A) 57 B) 177 C) 178 D) 377 E) 200

Solution: Lets say she sales x items so her commission will be : x * 1500*15/100 = 225x   Salary difference is:   90000 - 45000= 
  90000 - 45000 = 45_000
45000   So commission must at least be equal to salary difference i.e. x= 45000/225= 
45000/225 = 200
200 (Approx).   Hence answer is 200
Answer: E
A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 4 years ago?
Select:
A) 8
B) 10
C) 12
D) 14
E) 16

Solution: Let's say   Age of Richard is "R"   Age of David is "D"   Age of Scott is "S"   Now   Richard is 6 years older than David,   i.e. R = D +6   David is 8 years older than Scott   i.e. D = S +8   If in 8 years, Richard will be twice as old as Scott   i.e. R+8 = 2x(S+8)   i.e. R+8 = 2S + 16   i.e. R = 2S+8   But R = D+6 = (S+8)+6 = S+14   therefore, 2S + 8 = S +14   i.e. S = 6   i.e. R = 20   i.e. D = 14   Now,   how old was David 4 years ago?   i.e. D-4 = 14-4= 
14-4 = 10
10 years   ANSWER:10
Answer: B
A man walks at a speed of 2 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running? Choose the correct choice from the following answers:	A) 4 5/2 hours.	B) 2 5/2 hours.	C) 3 5/2 hours.	D) 5 5/2 hours.	E) 8 5/2 hours.

Solution: Required time = (5 1/4)/2 + (5 1/4)/7 = 3 5/2 hours.   ANSWER:3 5/2 hours.
Answer: C
A train is 560 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?  Choose the correct choice from the following
A) 56 seconds
B) 18 seconds
C) 40 seconds
D) 19 seconds
E) 45 seconds

Solution: Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec   Total distance = 560+140= 
560+140 = 700
700 meter   Time= Distance/speed   = 700 * (2/25)= 
700 * (2/25) = 56
56 seconds   56 secondsnswer: 56 seconds
Answer: A
Let's say in a lottery Samuel have a 4% chance of winning the jackpot.
All lined up and 1st four people on the line lose. Samuel is 5th in the row.
What's the chance of Samuel winning now? Choose one.
A) 1% B) 8% C) 9% D) 3% E) 4%

Solution: 4%   4%   4%xplanation:   The winning chance probability is still 4% as the outcome of Samuel winning the lottery is a separate event from the 1st four losing it.
Answer: E
If the sum of 9 consecutive integers is x, which of the must be true?
I. x is even
II. x is odd
III. x is a multiple of 2  Select the correct option.
A) I only  B) II only  C) III only  D) I and III  E) II and III

Solution: sum of 3 consecutive integers   = (n) + (n+1) + (n+2) ++ (n+3) + (n+4) + (n+5)+(n+6)+(n+7)+(n+8)   =9n+36   = odd + even =odd   = 2(5n+18) = divisible by 2   Hence, x is odd and divisible by 2.   Answer: II and III
Answer: E
I. j; k; m; n; p
II. j - 10; m; m; m; p + 15
III. j + 2; k + 1; m; n - 1; p - 2
If j, k, m, n, and p are consecutive positive integers such that j < k < m < n < p, the data sets I, II, and III above are ordered from greatest standard deviation C to least standard deviation in which of the following?
Choices:
A) I, III, II
B) II, I, III
C) II, III, I
D) III, I, II
E) III, II, I

Solution: Range of 1st Set = (p-j)   Range of 2nd Set = P+15 - j +10 = (p-j) +25   Range of 3rd Set = P -2 - j - 2 = (p-j) - 4   R2 > R1 > R3 ==> SD2 > SD1 > SD3   Since, C=Higher the Range -> More Dispersion in the Set -> More Standard Deviation.II, I, III
Answer: B
Find the middle one when The sum of three consecutive even numbers is 36?  Choose the correct choice:
A) 10  B) 12  C) 15  D) 16  E) 20

Solution: 3 consecutive numbers can be a - 1, a, a + 1   So sum of numbers = 3a = 36.   Hence a = 12.   12
Answer: B
Carolyn bought 17 gumballs, Lew bought 12 gumballs, and Carey bought X gumballs. The average (arithmetic mean) number of gumballs the three bought is between 19 and 25, inclusive. What is the difference between the greatest number and the smallest number of gumballs Carey could have bought?
Pick one.
A) 18	B) 20	C) 22	D) 24	E) 26

Solution: Smallest gumballs = (19-17) + (19-12) +19= 
(19-17) + (19-12) +19 = 28
28   Largest gumballs= (25-17) + (25-12) +25= 
(25-17) + (25-12) +25 = 46
46   Difference= 46 - 28= 
46 - 28 = 18
18   18
Answer: A
The mean of 50 observations was 36. It was found later that an observation 46 was wrongly taken as 23. The corrected new mean is Choose the correct choice from the following answers
A) 35.24 B) 36.16 C) 36.24 D) 36.46 E) None

Solution: Solution   Correct sum = (36x50+46-23)   = 1823.   âˆ´ Correct mean = 1823 / 50   = 36.46.   Answer 36.46
Answer: D
Danny can divide his herd into 5 equal parts and also to 6 equal parts, but not to 9 equal parts. What could be the number of cows Danny has in his herd?	Choose the correct choice
A) 120	B) 155	C) 180	D) 336	E) 456

Solution: Danny can divide his herd into 5 equal parts and also to 6 equal parts =>   No of cows = Multiple of 5 and 6 = Multiple of 30.   Only option A and C qualify.   Now 2nd condition : but not to 9 equal parts :   So it should not be a multiple of 9.   120NSWER:120
Answer: A
There are two concentric circles with radii 10 and 6. If the radius of the outer circle is increased by 20% and the radius of the inner circle decreased by 50%, by what percent does the area between the circles increase?	Choose the correct answer.
A) 11
B) 111
C) 211
D) 311
E) 411

Solution: The area of a circle is piR^2, where R is the radius.   The area of the big circle is 100pi.   The area of the small circle is 36pi.   The area A1 between the circles is 64pi.   When the big circle's radius increases, the new area is 144pi.   When the small circle's radius decreases, the new area is 9pi.   The area A2 between the circles is 135pi.   The ratio of A2/A1 is 135/64 = 2.11 which is an increase of 111%.   The answer is 111.
Answer: B
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? Choose the correct choice from the following choices.
A) 199 B) 87 C) 120 D) 150 E) 388

Solution: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train = (Speed x Time) = (50/3 * 9)= 
(50/3 * 9) = 150
150 m.Answer:150
Answer: D
A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?	Choose the correct choice from the following answers
A) 7 liters
B) 15 liters
C) 10 liters
D) 9 liters
E) None of these

Solution: Explanation:   Number of liters of water in150 liters of the mixture = 20% of 150 = 20/100 * 150= 
20/100 * 150 = 30
30 liters.   P liters of water added to the mixture to make water 25% of the new mixture.   Total amount of water becomes (30 + P) and total volume of mixture is (150 + P).   (30 + P)= 25/100 * (150 + P)   120 + 4P = 150 + P => P = 10 liters.   ANSWER IS 10 liters
Answer: C
A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water of the tank in?	Choose the correct choice from the following answers:
A) 17 hr B) 19 hr C) 10 hr D) 14 hr E) 16 hr

Solution: Work done by the tank in 1 hour   = (1/2 - 1/3)   = 1/14 Leak will empty the tank in 14 hrs.   Answer:14 hr
Answer: D
Different breeds of dogs get older at different rates in “dog years.” Livonian wolfhounds age 7 times as fast as humans, whereas Khazarian terriers age 5 times as fast and Akkadian retrievers age 4 times as fast. If Dan bought a newborn Akkadian on January 1, 2002, a newborn Khazarian 1 year later, and a newborn Livonian 1 year after that, in what year will the sum of the dog-year ages of the Akkadian and the Khazarian first be exceeded by twice the age of the Livonian in dog years, rounding all ages down to the nearest integer? Answers
A) 2013  B) 2014  C) 2015  D) 2007  E) 2017

Solution: I'm going with C:   I made a chart starting at 2004:   A+K=13   L=0.   Then I added 9 to a+k for each year and 14 to L for each year.   2005:AK=22 L=14   2006:AK=31 L=28   2007:AK=40 L=42   thus, 2007 is the correct answer. => 2007
Answer: D
Anil spends 40% of his income on rent, 30% of the remaining on medicines and 20% of the remaining on education. If he saves Rs. 840 every month, then find his monthly salary?  Choose the correct answer:
A) Rs. 2000  B) Rs. 2500  C) Rs. 2700  D) Rs. 3000  E) Rs. 2500

Solution: Let's Anil's salary be Rs. 100.   Money spent on Rent = 40% of 100 = Rs. 40.   Money spent on medical grounds = 30% of (100 - 40) = 3/10 * 60 = Rs. 18.   Money spent on education = 20% of (60 - 18) = 1/5 * 42 = Rs. 8.40   Anil saves 100 - (40 + 18 + 8.40) i.e., Rs. 33.60   for 33.6 ---> 100 ; 840 ---> ?   Required salary = 840/33.6 * 100 = Rs. 2500   Rs. 2500)
Answer: B
Two trains of equal lengths take 15 sec and 20 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?  Choose the correct choice from the following options:
A) 16 sec
B) 12 sec
C) 17 sec
D) 21 sec
E) 23 sec

Solution: Speed of the first train = 120/15= 
120/15 = 8
8 m/sec.   Speed of the second train= 120/20= 
120/20 = 6
6 m/sec.   Relative speed= 8 + 6= 
8 + 6 = 14
14 m/sec.   Required time= (120 + 120)/14 = 17 sec.   Answer: 17 sec
Answer: C
If YWVSQ is 25 - 23 - 21 - 19 - 11, Then MKIGF  Choose the correct choice from the following options.
A) 13 - 11 - 9 - 7 - 9  B) 13 - 11 - 9 - 7 - 6  C) 13 - 11 - 9 - 7 - 7  D) 13 - 11 - 9 - 7 - 3  E) 11 - 11 - 9 - 7 - 1

Solution: MKIGF = 11 - 11 - 9 - 7 - 1   Note: this is a dummy question. Dont answer these questions   Answer:11 - 11 - 9 - 7 - 1
Answer: E
A shopkeeper sells 400 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?	Choose one:
A) Rs.59	B) Rs.58	C) Rs.09	D) Rs.50	E) Rs.13

Solution: SP per metre = 18000/400   = Rs. 45 Loss per metre   = Rs. 5 CP per metre = 45 + 5   = Rs.50   Answer: Rs.50
Answer: D
20 men can do a work in 40 days. When should 20 men leave the work so that the entire work is completed in 40 days after they leave the work?	Choose the correct option:
A) 0 days
B) 10 days
C) 20 days
D) 30 days
E) 40 days

Solution: Total work to be done = 20 * 40= 
20 * 40 = 800
800   Let 20 men leave the work after 'P' days, so that the remaining work is completed in 40 days after they leave the work.   40P + (20 * 40)= 800   40P = 0 => P = 0 days   0 daysNSWER:0 days
Answer: A
A train is 288 meter long is running at a speed of 29 km/hour. In what time will it pass a bridge of 101 meter length?  Choose the correct choice:
A) 48.29	B) 50	C) 26.8	D) 45.29	E) 30

Solution: Speed = 29 Km/hr = 29*(5/18) m/sec = 145/18 m/sec   Total distance = 288+101= 
288+101 = 389
389 meter   Time= Distance/speed   = 389 * (18/145) = 48.29 seconds.   48.29nswer: 48.29
Answer: A
If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,880,715 minutes earlier? (Assume standard time in one location.)
Choose the most appropriate option
A) 6:22
B) 6:24
C) 6:27
D) 6:30
E) 6:33

Solution: 6:27minus 2,880,715in any way must end with 2, the only answer choice which ends with 2 is A.   6:22nswer: 6:22.
Answer: A
If 3 cats can kill 3 rats in 3 minutes, how long will it take 100 cats to kill 100 rats?  Pick
A) 1 minutes
B) 2 minutes
C) 3 minutes
D) 4 minutes
E) 5 minutes

Solution: It will take 3 minutes for 100 cats to kill 100 rats.   1 cat can kill 1 rat in 3 minutes, so 100 cats can kill 100 rats in 3 minutes   Answer 3 minutes
Answer: C
If y exceeds x by 25%, then x is less than y by?  Choose the most appropriate option.
A) 28%
B) 21%
C) 20%
D) 30%
E) 29%

Solution: X=100	y=125   125--------25   100--------? => 20%   Answer:20%
Answer: C
Difference of 2 parallel sides ofa trapezium is 4cm. perpendicular distance between them is 10cm. If the area of the trapezium is 250cm^2. Find the lengths of the parallel side?  Choose the correct answer:  A) 20,25  B) 21,25  C) 27,23  D) 28,25  E) 30,25

Solution: Let the two parallel sides of the trapezium be a cm and b cm.   Then, a-b = 4 ------ (1)   And, (1/2) x (a+b) x 10 = 475 =>(a+b) =((250 x 2)/10) => a + b = 50------- (2)   Solving 1 and 2, we get: a=27,b=23   So, the two parallel sides are 27 cm and 23 cm.   27,23
Answer: C
If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is?	Choose the correct answer
A) 33%	B) 29%	C) 25%	D) 55%	E) 39%

Solution: C   25%   Given that, cost price of 50 article is equal to selling price of 40 articles.   Let cost price of one article = Rs. 1   Selling price of 40 articles = Rs. 50   But Cost price of 40 articles = Rs. 40   Therefore, the trader made profit.\Percentage of profit = 10/40 * 100= 
10/40 * 100 = 25
25%
Answer: C
In a straight highway 2 cars starts from the same point in opposite directions each travels for 8 Kms and take left turn then travel for 6 Kms what is the distance between them now.
Choose the correct choice from the following options.
A) 16
B) 20
C) 25
D) 10
E) 15

Solution: use pythagoras theorem   c^2=a^2+b^2   =8^2+6^2 =64+36   c^2=100   c=10   the distance between A and 20 is  (10+10)= 
 (10+10) = 20
20   ANSWER:20
Answer: B
The distance between two towns is 380 km. At the same moment, a passenger car and a truck start moving towards each other from different towns. They meet 4 hours later. If the car drives 5 km/hr faster than the truck, what are their speeds? Choose the correct choice from the following answers.
A) 33
B) 45
C) 37
D) 36
E) 19

Solution: The main idea used in this kind of problems is that the distance equals speed multiplied by time S=V⋅tS=V⋅t   V (km/hr)	t (hr)	S (km)   Car	x + 5	4	4(x +5)   Truck	X	4	4x   4(x+5)+4x=3804(x+5)+4x=380   4x+4x=380−204x+4x=380−20   8x=3608x=360   x=3608x=3608   x=45x=45   Therefore the truck's speed is 45 km/hr, and the car's speed is 50 km/hr.   Answer:45
Answer: B
In a race with 5 competitors, the first-place finisher receives a gold medal, the second-place finisher receives a silver medal, and the third-place finisher receives a bronze medal. If there are no ties, in how many different ways may these three medals be awarded?  Choose the correct choice from the following options:
A) 35
B) 120
C) 720
D) 840
E) 60

Solution: Well in this case since there are 3 positions and they can be taken by 3 persons only ,so order matters over here .For gold there are 5 choices ,for silver 4 remain (one who got gold cannot be given silver) and for bronze 3 choices remain.   So total possibilities=5*4*3   Correct answer 60=60
Answer: E
A train 125 m long passes a man, running at 4 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is: Pick one: A) 49 km/hr B) 50 km/hr C) 45 km/hr D) 65 km/hr E) 87 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 - 4) km/hr. x - 4 = 45 ==> x = 49 km/hr.   49 km/hrnswer: 49 km/hr
Answer: A