MU-NLPC/Calc-aqua_rat huggingface dataset:
Albert buys 4 horses and 9 cows for Rs. 13,400. If he sells the horses at 10% profit and the cows at 20% profit, then he earns a total profit of Rs. 1880. The cost of a horse is: Pick.
A) Rs. 1000  B) Rs. 2000  C) Rs. 2500  D) Rs. 3000  E) Rs. 3500

Solution: Let C.P. of each horse be Rs. x and C.P. of each cow be Rs. y.   Then, 4x + 9y = 13400 -- (i)   And, 10% of 4x + 20% of 9y = 1880   2/5 x + 9/5 y = 1880 => 2x + 9y = 9400 -- (ii)   Solving (i) and (ii), we get : x = 2000 and y = 600.   Cost price of each horse = Rs. 2000.   ANSWER:Rs. 2000
Answer: B
If a quarter Kg of potato costs 60 paise, How many paise will 200 gm cost? Choose the correct option: A) 48 B) 99 C) 37 D) 26 E) 18

Solution: 48nswer: 48) 48 Paise
Answer: A
On a map, 2.5 inches represent 40 miles. How many miles approximately is the distance if you measured 155 centimeters assuming that 1-inch is 2.54 centimeters?	Choose the correct choice:
A) 990.4  B) 970  C) 972  D) 976.4  E) 975

Solution: 1 inch = 2.54 cm   2.5 inch = 2.54 * 2.5 cm   6.35 cm = 40 miles   155 cms = 40/6.35*155= 976.4 miles   Answer : 976.4
Answer: D
Last year’s receipts from the sale of greeting cards during the week before Mother’s Day totaled $189 million, which represented 10 percent of total greeting card sales for the year. Total greeting card sales for the year totaled how many million dollars?	Choose the correct choice from the following
A) 17,010 B) 2,100 C) 1,890 D) 1,701 E) 210

Solution: 10% ---- 189 millions   for 100% => ( 189 * 100% )/10% = 1890.   Option 1,890.( 189 * 100  )/10= 
( 189 * 100  )/10 = 1_890
1890.   Option 1,890.
Answer: C
How many seconds will a 700 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?	Pick:
A) 287	B) 288	C) 600	D) 277	E) 121

Solution: Let length of tunnel is x meter   Distance = 700+x meter   Time = 1 minute = 60 seconds   Speed = 78 km/hr = 78*5/18 m/s = 65/3 m/s   Distance = Speed*Time   700+x = (65/3) * 60   700+x = 20 * 65= 
20 * 65 = 1_300
1300   x= 1300 - 700= 
1300 - 700 = 600
600 meters   Answer: 600
Answer: C
In My, Xiang sold 15 used cars. For these 15 used cars the range of selling prices was 15,000 and the lowest selling price was 4,500. In June, Xiang sold 10 cars. For these 10 cars the range of selling was 12,000 and the lowest selling price was 6,100. What was the range of selling prices for the 25 used car sold by xiang in May and June?
Pick.
A) 15,600
B) 15,750
C) 16,820
D) 18,100
E) 19,200

Solution: for 10 cars - 12000+ 6100 = 18,100   for 15 cars - 15000+ 4500 = 19,500   max = 19,500 min 4500   answer is approx 15000.   Option 15,600 is closest.
Answer: A
P and Q can complete a work in 40 days and 24 days respectively. P alone started the work and Q joined him after 16 days till the completion of the work. How long did the work last?  Choose the correct answer:  A) 5 days  B) 10 days  C) 14 days  D) 22 days  E) 25 days

Solution: 25 daysxplanation :   Work done by P in 1 day = 1/40   Work done by Q in 1 day = 1/24   Work done by P in 16 days = 16 Ã— (1/40) = 2/5   Remaining work = 1 â€“ 2/5 = 3/5   Work done by P and Q in 1 day = 1/40 + 1/24 = 1/15   Number of days P and Q take to complete the remaining work = (3/5) / (1/15)= 
(3/5) / (1/15) = 9
9   Total days= 16 + 9= 
16 + 9 = 25
25   Answer : Option 25 days
Answer: E
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?  Pick:
A) 400m  B) 700m  C) 120m  D) 240m  E) 350m

Solution: Explanation:   Speed = 300/18 = 50/3 m/sec.   Let the length of the platform be x meters.   Then, (x + 300)/39 = 50/3   3x + 900 = 1950 => x = 350 m.   Answer: 350m
Answer: E
The ratio of the area of a square mirror to its frame is 16 to 33. If the frame has a uniform width (f) around the mirror, which of the following could be the value, in inches, of f ?
I. 2
II. 3 1/2
III. 5
Choose the correct option:	A) I only	B) III only	C) I and II only	D) I and III only	E) I, II, and III

Solution: Area of picture = 16x Area of frame = 33x   Area of picture / (Area of picture + area of frame) = 16x / 49x = 4x/7x.   This results in f value to be a multiple of 1.5 = multiple of 3/2 and since f is not constrained to be only integer all the three choices are possible   For i) the multiple of f is 4/3   For ii) the multiple of f is 7/3   For iii) the multiple of f is 10/3   The key is f can be any real positive number... very tricky problem.. took me > 15 minutes.   Answer is I, II, and III
Answer: E
If the Average (mean ) of 13 positive temperatures is x degrees fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
Pick
A) 6x
B) 12x
C) 5x/3
D) 3x/2
E) 3x/5

Solution: Let the 5 numbers be 1,2,3,4,5, ...,13 (since no restrictions are given). There mean is 7 (x).   Now the sum of greatest three would be 11+12+13= 
11+12+13 = 36
36   so the answer has to be 12x....that is option 12x
Answer: B
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.	Choose the correct choice from the following answers:
A) 150  B) 882  C) 772  D) 252  E) 121

Solution: Speed = 60*(5/18) m/sec = 50/3 m/sec   Length of Train (Distance) = Speed * Time     (50/3) * 9= 
  (50/3) * 9 = 150
150 meter.150nswer: 150
Answer: A
In a workshop there are 4 kinds of beds, 3 kinds of closets, 2 kinds of shelves and 7 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one closet, one bed and one of the following: a chair or a shelf?
Answers: A) A)168. B) B)80. C) C)56. D) D)108. E) E)16.

Solution: ways to select one closet = 3   ways to select one bed = 4   ways to select one of the following: a chair or a closet = 7+2 = 10   ways to select all of them together = 3*4*9= 
3*4*9 = 108
108   Answer : 108.
Answer: D
The average of 45 results is 25 and the average of other 25 results is 45 . what is the average of all the results? Choose the correct choice from the following answers
A) 24
B) 32
C) 48
D) 50
E) None

Solution: Answer   Sum of 70 result = sum of 45 result + sum of 25 result.   = 45 x 25 + 25 x 45   = 2250/70   Correct Option: 32
Answer: B
The age of a man is twice the sum of the ages of his two sons. Five years hence, his age will be 16 years more than the sum of the ages of his sons. What is the father's present age?	Options:
A) 42 years B) 40 years C) 45 years D) 48 years E) 55 years

Solution: let man's age be m and sons ages will be x&y   given that m=2(x+y)=x+y=m/2   m+5=x+5+y+5+16   m=x+y+21   m=m/2+21   m=42   42 yearsNSWER:42 years
Answer: A
On a certain number line, conditions are a<b<c<d<e and abcd>0. Which of the following must be true?
I ab>0 II cd>0 III de>0 ,IV e+ve
=ve  Select the correct option.
A) I only
B) II only
C) III only
D) I and II only
E) I II and IV

Solution: Givena<b<c<d<e abcde="" and="">0.   Suppose, for the product to be greater than 0, we can two variables as -ve or four variables can be -ve.   We are given : I ab>0 II cd>0 III de>0   case 1: a and b can be negative/positive and if they are... we get greater than 0.   case 2: we have cd , then c and d both can be negative/positive and if they are... we get greater than 0.   case 2: we have de , then c and d both can be negative/positive and if they are... we get greater than 0.   if cd both negative , then de both have to negative in order to get greater than 0. In order to abcde>0 , cde can't be negative else we get -ve value, then we need to have either a or b as negative then ab can't be greater than 0.   so cde have to be positive.   ab > 0 , cd > 0 obviouly e will be positive , since we have information de> 0 . ( Here we have relationship between cd and de , where d is common).   So cases 1 and 2 are fine.   OptionI II and IV</b<c<d<e>
Answer: E
In given question, various terms of an alphabet series is given with one term missing as shown by (?). Choose the missing term out of the given alternatives.
D, G, J, M, ?, S, V Choose the most appropriate option:
A) P
B) I
C) U
D) H
E) H

Solution: Explanation:   Given:   D, G, J, M, ?, S, V   Refer : A I C D E F G H I J K L M N O P Q R S T U V W X Y Z   We have,   letter coding   ANSWER: I
Answer: B
The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 500. What is the manager's monthly salary ?	Choose the most appropriate option: A) Rs.16003 B) Rs.16029 C) Rs.1288 D) Rs.16108 E) Rs.12000

Solution: Explanation:   Manager's monthly salary Rs. (2000 * 21 - 1500 * 20) = Rs.12000.   Answer: Rs.12000
Answer: E
Two identical machines have the ability to produce both nuts and bolts. However, it takes 1 second to produce a bolt but 2 seconds to produce a nut. What is the fastest the two machines, working together, can produce 2,000 nuts and 2,000 bolts?
Choose the correct choice from the following answers.
A) 1,250 seconds B) 1,500 seconds C) 1,750 seconds D) 2,000 seconds E) 3,000 seconds

Solution: I used the Rate formula (R=\frac{1}{T})   Rate of 1st machine = Rate of making 1 bolt + Rate of making 1 nut = 1 + \frac{1}{2}   Rate of 1st machine = Rate of 2nd machine   After this I got lost.   Please can you help how to approach using algebra?   I wouldn't complicate:   1 machine needs 2,000*1 seconds to produce 2,000 bolts, so 2 need half of that, so 2,000/2 seconds.   1 machine needs 2,000*2 seconds to produce 2,000 nuts, so 2 need half of that, so 2,000*2/2 seconds.   3,000 seconds
Answer: E
a, b, c and d are four consecutive numbers. If the sum of a and dis 107, what is the product of b and c?  Choose the correct choice from the following:	A) 2862	B) 2578	C) 2534	D) 3354	E) 4234

Solution: 2862   2862   Here d = a + 3   a + a + 3 = 107   2a = 104   a = 52   So, numbers are 52, 53, 54 and 55   ∴ b × c= 53 × 54 = 2862
Answer: A
A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?  Options:
A) 3 B) 8 C) 7 D) 6 E) 2

Solution: M = 4   S = 2   US = 4 - 2= 
4 - 2 = 2
2   D= 6   T = 6/2= 
6/2 = 3
3   3nswer:3
Answer: A
150 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4? Choose the most appropriate option.
A) 90 liters
B) 20 liters
C) 50 liters
D) 20 liters
E) 70 liters

Solution: Milk = 3/5 * 150= 
3/5 * 150 = 90
90 liters   Water= 50 liters   90 : (50+P) = 3:4   150 + 3P = 360 => P = 70   50 liters of water are to be added for the ratio become 3:4.   ANSWER:50 liters
Answer: C
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 asquotient and the 15 as remainder?	Select the correct option
A) 1245  B) 1567  C) 1678  D) 1335  E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1365).   x + 1365 = 6x + 15   5x = 1350   x = 270   Large number = 270+1365= 
270+1365 = 1_635
1635   1635
Answer: E
y = 248 - 200x
Which of the following values of x gives the greatest value of y in the equation above?
Choose the correct choice from the following options:	A) -3	B) 100	C) 0.5	D) 0	E) 30

Solution: Clearly, the negative value of x will result in maximum value of y.   -3nswer is -3
Answer: A
To mail a package, the rate is a cents for the first pound and b cents for each additional pound, where a>b. Two packages weighing 3 pounds and 5 pounds, respectively can be mailed seperately or combined as one package. Which method is cheaper and how much money is saved? Select the correct option:	A) Combined, with a saving of a-b cents	B) Combined, with a saving of a-b cents	C) Combined, with a saving of a cents	D) Separately, with a saving of a-b cents	E) Separately, with a saving of b cents

Solution: This means it costs a cent for the first pound in weight for example, 20 cents for the first pound.   It costs b cents for the every pound in weight above this, for example 10 cents for pound 2 and 10 cents for pound 3.   a is more than b. for example 20 cents vs. 10 cents   3 pounds: a+2b   5 pounds:a+4b   Total: 2a+6b   8 pounds: a+7b   So we are saving:   (2a+6b) - a+7b   = a-b cents   Combined is cheaper as we maximize y and minimize x.   Combined, with a saving of a-b centsnswer is:Combined, with a saving of a-b cents
Answer: A
In a jar there are balls in different colors: blue, red, green and yellow.
The probability of drawing a blue ball is 1/8.
The probability of drawing a red ball is 3/5.
The probability of drawing a green ball is 1/10.
If a jar cannot contain more than 50 balls, how many yellow balls are in the Jar?
Choose the most appropriate option:
A) 33  B) 7  C) 14  D) 21  E) 9

Solution: answer of 1st   just add the given probabilities p(blue)+p(red)+p(green) i.e   1/8+3/5+1/10=5+24+4/40 =33/40   now we know p(blue)+p(red)+p(green)+p(yellow)=1   33/40+p(yellow)=1   p(yellow)=7/40   i.e why yellow balls are 7.   7
Answer: B
If 2x+3y=34 and ((x + y)/y)=13/8,then find the value of 5y+7x.	Choose the correct choice from the following
A) 25	B) 55	C) 35	D) 75	E) 85

Solution: The given equations are:   2x+3y=34 …(i) and, ((x + y) /y)=13/8 => 8x+8y=13y => 8x-5y=0 …(ii)   Multiplying (i) by 5,(ii) by 3 and adding, we get : 34x=170 or x=5.   Putting x=5 in (i), we get: y=8.   => 5y+7x=((5*8)+(7*5))=40+35= 
40+35 = 75
75   Answer is 75.
Answer: D
How many pairs (q, q+1) have one or more prime factors common, where q is an integer and 2 ≤ q ≤9 ?	Choose the correct choice from the following options:
A) 0	B) 1	C) 2	D) 3	E) 4

Solution: q and q+1 are consecutive integers.   Two consecutive integers are co-prime, which means that they don't share ANY common factor but 1. For example 20 and 21 are consecutive integers, thus only common factor they share is 1.   0nswer: 0.
Answer: A
Hari spends 50% of his income. His income is increased by 10% and he increased his expenditure by 5%. Find the percentage increase in his savings?  Choose the correct choice from the following answers
A) 10%	B) 15%	C) 20%	D) 25%	E) 30%

Solution: Let original income = $100   expenditure = $50   savings = $50   new income = $110   new expenditure = $105/100 * 50 = $105/2   New savings = 110 - 105/2 = $115/2   Increase in savings = 115/2 - 50 = $15/2   Increase % = 15/2 * 1/50 * 100= 
15/2 * 1/50 * 100 = 15
15%   Answer is 15%
Answer: B
A tempo is insured to an extent of 5/7 of its original value. If the premium on it at the rate of 3% amounts to $300, The original value of the tempo is? Pick.
A) 12500  B) 13280  C) 17520  D) 14000  E) 12560

Solution: Let the original value of the tempo is $x   3% of 5/7 of x = 300   (3/100)*(5/7)x = 300   x = $ 14000   Answer is 14000
Answer: D
Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 4 kg more than Peter. Together the three of them picked 28 kg of chestnuts. How many kilograms of chestnuts did Mary, Peter, and Lucy pick respectively?  Pick:	A) 6, 10 and 12	B) 12, 10 and 6	C) 10, 6 and 12	D) 12, 6 and 10	E) 6, 12 and 10

Solution: M = 2P   L = P+4   M + P + L = 28   2P + P + (P+4) = 28   P = 6, M = 12, L = 10   Therefore, Mary, Peter, and Lucy picked 12, 6, and 10 kg, respectively.   The answer is 12, 6 and 10.
Answer: D
Consider a right triangle WBC with length of sides being x,y and z where y represents the hypotenuse , Which of these represent the radius of the circle which is inscribed in triangle WBC Select the correct option
A) [A] x+y+z/3 B) [B] x-y+z/3 C) [C] x-y+z/2 D) [D] (x^2 + y^2 + z^2)/3 E) [E] cannot be determined

Solution: Radius of a circle inscribed in the right triangle WBC r = (x + z - y)/2 where y is the hypotenuse and x and y are other two sides.   Answer: [C] x-y+z/2
Answer: C
A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?	Select
A) 4 litres, 8 litres B) 6 litres, 6 litres C) 5 litres, 7 litres D) 7 litres, 5 litres E) 8 litres, 6 litres

Solution: Explanation:   Let the cost of 1 litre milk be Re. 1   Milk in 1 litre mix. in 1st can =	3/4litre, C.P. of 1 litre mix. in 1st can Re.3/4   Milk in 1 litre mix. in 2nd can = 1/2litre, C.P. of 1 litre mix. in 2nd can Re.1/2   Milk in 1 litre of final mix. =	5/8litre, Mean price = Re.5/8   By the rule of alligation, we have:   C.P. of 1 litre mixture in 1st can C.P. of 1 litre mixture in 2nd can   Ratio of two mixtures =	1/8:1/8=1:1   So, quantity of mixture taken from each can =(1/2 x 12)=6 litres.   ANSWER IS 6 litres, 6 litres
Answer: B
If 16% of 40% of a number is 4, then the number is Choose the correct choice from the following:
A) 200
B) 225
C) 62.5
D) 320
E) None of these

Solution: Explanation:   Let 16/100×40/100×a=4   a = 4×100×100/16×40=62.5   62.5orrect Option: 62.5
Answer: C
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 4 employees to 2 different offices?
Pick one.
A) 12
B) 11
C) 10
D) 16
E) 12

Solution: Each of three employee can be assigned to either of offices, meaning that each has 2 choices --> 2*2*2*2=2^4=16.   Answer: 16.
Answer: D
If a fair coin is tossed five times, what is the probability of getting exactly four heads in a row?
Choose the correct choice from the following answers
A) 1/64 B) 1/32 C) 1/16 D) 1/8 E) 1/4

Solution: P(HHHHT) = 1/32   P(THHHH) = 1/32   The sum of these probabilities is 2/32 = 1/16   The answer is 1/16.
Answer: C
A restaurant meal cost $30.00 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between Choose the correct choice from the following options:
A) $40 and $42
B) $39 and $41
C) $38 and $40
D) $37 and $39
E) $33 and $35

Solution: The total amount for the meal was between 30.0*1.1= 
30.0*1.1 = 33
33.00 and 30.0*1.15=34.5. Only option which covers all possible values of the meal is E.   Answer: $33 and $35.
Answer: E
A certain number X when divided by 243 leaves a remainder of 95. Which of the following can be subtracted from X to make X divisible by 79?  Choose the correct answer
A) 17 B) 22 C) 37 D) 47 E) 57

Solution: Least possible value of the number is 243 + 95= 
243 + 95 = 338
338   Further it is given the number must be divisible by 79 .   338/79= Gives remainder as 22   So, 22 must be subtracted from the number , answer is (22)
Answer: B
Two heavily loaded sixteen-wheeler transport trucks are 690 kilometers apart, sitting at two rest stops on opposite sides of the same highway. Driver A begins heading down the highway driving at an average speed of 90 kilometers per hour. Exactly one hour later, Driver B starts down the highway toward Driver A, maintaining an average speed of 80 kilometers per hour. How many kilometers farther than Driver B, will Driver A have driven when they meet and pass each other on the highway?  Choose the correct choice from the following options:	A) 120	B) 130	C) 150	D) 320	E) 450

Solution: I've been reading the website for a while and I'm always keen to see different approaches so I would like to share one that works for me:   Short version:   Truck A travels for an hour.   Distance remaining = 690-90= 
690-90 = 600
600k   Ratio of speeds 9:8 -> 510/17= 30   Truck 120 = 90 + 30*9= 
90 + 30*9 = 360
360   Truck B= 30*8= 
30*8 = 240
240   Delta= 120km   120nswer 120
Answer: A
one person Tharak speed with the current is 10 km/hr and the speed of the current is 5 km/hr. Tharak's speed against the current is:	Choose the correct answer.
A) 0 km/hr
B) 1 km/hr
C) 2 km/hr
D) 3 km/hr
E) 4 km/hr

Solution: Man's speed with the current = 10 km/hr   => speed of the man + speed of the current = 10 km/hr   speed of the current is 5 km/hr   Hence, speed of the man = 10-5= 
10-5 = 5
5 km/hr   man's speed against the current= speed of the man - speed of the current   = 5-5= 
5-5 = 0
0 km/hr   0 km/hrNSWER:0 km/hr
Answer: A
The length and breadth of a rectangle is increased by 11% and 22% respectively. What is the increase in the area? Choose one
A) 35.22	B) 33.52	C) 35.42	D) 36.22	E) 38.42

Solution: 100*100= 
100*100 = 10_000
10000   111*122= 
111*122 = 13_542
13542   ------------   3542   10000-------3542   100----------35.42   Answer 35.42
Answer: C
How many positive integer solutions does the equation 2x+5y = 100 have?
Choose one:  A) 50  B) 33  C) 16  D) 35  E) 10

Solution: formula: (constant)/(lcm of two nos)   =100/(2*5)= 
100/(2*5) = 10
10   ANSW10R:10
Answer: E
The compound ratio of 5:6, 3:2 and 6:5?
Select
A) 1:1 B) 1:87 C) 1:6 D) 3:2 E) 1:2

Solution: 5/6 * 3/2 * 6/5 = 3/2   3:2   Answer: 3:2
Answer: D
Real-estate salesman Z is selling a house at a 20 percent discount from its retail price. Real-estate salesman X vows to match this price, and then offers an additional 10 percent discount. Real-estate salesman Y decides to average the prices of salesmen Z and X, then offer an additional 25 percent discount. Salesman Y's final price is what fraction of salesman X's final price?
Choose the correct choice from the following choices.
A) 72/80	B) 72/100	C) 57/80	D) 19/24	E) 76/100

Solution: Let retail price = $100.   Z sells with 20% discount. So z sells at $80.   X matches the price and gives additional 10%. So, X sells at 80-(10% of 80) = 80-8= 
80-8 = 72
$72   Y avgs X and Z [ (72+80)/2= 
 (72+80)/2 = 76
76]. Y gives additional 25% discount. So, Y sells at 76-(25% of 76)= 76-19= 
76-19 = 57
$57   Now, ratio of Y to X= 57/72 = 19/24   Answer will be 19/24.
Answer: D
How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARI', if repetition of letters is not allowed?  Options.
A) 690  B) 120  C) 740  D) 760  E) 780

Solution: The word 'LOGARI' has 6 different letters.   Hence, the number of 3-letter words(with or without meaning) formed by using these letters   = 6P3   =   6   ×   5   ×   4   =   120   Option 120
Answer: B
A part of certain sum of money is invested at 16% 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?	Choose the correct option.
A) 5:4 B) 1:4 C) 3:1 D) 3:5 E) 3:4

Solution: 12:16   = 3:4   ANSW3:4R:3:4
Answer: E
How many four-digit numbers that do not contain the digits 2, 3, 4, 5, or 6 are there? Select:	A) 200	B) 400	C) 500	D) 600	E) 800

Solution: The 1st digit can be filled up by the numbers: {1,7,8,9} = 4 ways   The 2nd digit can be filled up by the numbers: {0,1,7,8,9} = 5 ways   The 3rd digit can be filled up by the numbers: {0,1,7,8,9} = 5 ways   The 4th digit can be filled up by the numbers: {0,1,7,8,9} = 5 ways   The total number of such four-digit numbers is   4*5*5*5= 
  4*5*5*5 = 500
500   The answer is 500.
Answer: C
In how many ways can a team of 5 persons be formed out of a total of 10 persons such that two particular persons should not be included in any team? Pick:  A) 56  B) 63  C) 69  D) 67  E) 23

Solution: Two particular persons should not be included in each team.   i.e., we have to select 5 persons from   10-2= 
  10-2 = 8
8 persons.   Hence, required number of ways= 8C5   = 8*7= 
8*7 = 56
56   56ns - 56
Answer: A
An employer pays Rs. 30 for each day a worker works, and forfeits Rs. 5 for each day he is idle. At the end of 60 days, a worker gets Rs. 500. For how many days did the worker remain idle?
Choose the correct choice from the following choices:
A) 52 B) 27 C) 99 D) 61 E) 11

Solution: Explanation:   Suppose the worker remained idle for m days. Then, he worked for (60 - m) days.   30 (60 - m) – 5m = 500   1800 – 25m = 500   25m = 1300   m = 52   So, the worker remained idle for 52 days.   52NSWER: 52
Answer: A
In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?  Select the correct option.
A) 2.5sec	B) 4.25sec	C) 5sec	D) 12.5sec	E) 6sec

Solution: 2.5secnswer: Option 2.5sec   Speed = 144 * 5/18= 
144 * 5/18 = 40
40 m/sec   Time taken= 100/40= 
100/40 = 5/2 = around 2.5
2.5 sec.
Answer: A