MU-NLPC/Calc-aqua_rat huggingface dataset:
fill in ht blank:
(a) the point with coordinates (0,0) is called ____ of a rectangular coordinate system,
(b) to find the x-intercept of a line, we let ___ equal 0 and solve for ___; to find y- intercept , we let ____ equal 0 and solve for___  Choices:
A) (a) the point with coordinates (0,0) is called axis of a rectangular coordinate system, (b) to find the x-intercept of a line, we let x equal 0 and solve for y ; to find y- intercept , we let y equal 0 and solve for y; to find y- intercept , we let x equal 0 and solve for x
B) (a) the point with coordinates (0,0) is called end of a rectangular coordinate system, (b) to find the x-intercept of a line, we let x equal 0 and solve for x ; to find y- intercept , we let y equal 0 and solve for y
C) (a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the x-intercept of a line, we let y equal 0 and solve for x ; to find y- intercept , we let x equal 0 and solve for y
D) (a) the point with coordinates (0,0) is called end of a rectangular coordinate system, (b) to find the x-intercept of a line, we let x equal 0 and solve for y ; to find y- intercept , we let y equal 0 and solve for x
E) none of the above

Solution: (a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the x-intercept of a line, we let y equal 0 and solve for x ; to find y- intercept , we let x equal 0 and solve for y   correct answer ((a) the point with coordinates (0,0) is called origin of a rectangular coordinate system, (b) to find the x-intercept of a line, we let y equal 0 and solve for x ; to find y- intercept , we let x equal 0 and solve for y)
Answer: C
Income and expenditure of a person are in the ratio 5:4. If the income of the person is Rs.18000, then find his savings?	Options
A) Rs.3600  B) Rs.8600  C) Rs.3630  D) Rs.9600  E) Rs.2600

Solution: Let the income and the expenditure of the person be Rs.5x and Rs.4x respectively.   Income, 5x = 18000 => x = 3600   Savings = Income - expenditure = 5x - 4x = x   So, savings = Rs.3600   Rs.3600nswer: Rs.3600
Answer: A
The area of a triangle is with base 12m and height 5m?  Select:
A) 88 m2	B) 30 m2	C) 66 m2	D) 77 m2	E) 31 m2

Solution: 1/2 * 12 * 5= 
1/2 * 12 * 5 = 30
30 m2   Answer: 30 m2
Answer: B
The average score of a cricketer in 2 matches is 40 and in other 3 matches is 10. Then find the average score in all the 5 matches?  Choose the most appropriate option
A) 25 B) 22 C) 30 D) 35 E) 42

Solution: Average in 5 matches = (2*40 + 3*10)/2+3 = 80+30 / 5 = 110/5= 
110/5 = 22
22   Answer is 22
Answer: B
The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 147, what is the difference between the ages of Patrick and Monica?
Choose the correct answer.
A) 48
B) 47
C) 46
D) 49
E) 52

Solution: let their ages are 9x,15x and 25x respectively.   difference between the ages of Patrick and Monica = 25x-9x=16x where   49x25 -9= 
25 -9 = 16
16x where   49x=147 or x=3   so diff in ages = 16x=16*3= 
16*3 = 48
48 yrs   48NSWER:48
Answer: A
The roof of an apartment building is rectangular and its length is 3 times longer than its width. If the area of the roof is 768 feet squared, what is the difference between the length and the width of the roof?  Select:
A) 32. B) 40. C) 42. D) 44. E) 46.

Solution: Answer is A : 42   Let w be the width , so length is 3w. Therefore : w*4w = 768, solving for, w = 16 , so 3w-w = 2w = 2*16= 
2*16 = 32
32
Answer: A
In a group of 6 boys&4 girls a Committee of 4 persons is to be formed. In how many different ways can it be done so that the committee has at least 1girl?
Pick:
A) 180
B) 185
C) 190
D) 195
E) 200

Solution: The committee of 4 persons is to be so formed that it has at least 1 woman The different ways that we can choose to form such a committee are:   (i) lw. 3 m in t 6X5X4' x 6C3 = 4x — — 80 3X2X1   x 6c2 =42:: x 26:: = 90 (ii) 2w. 2 m in °C2 (iii) 3w. 1 m in 4C3 x 6C1 = 4 x 6 = 24 (iv) 4w in 6C4 = 1 Total no. of different ways in which a committee of 4 persons can be formed so that it has at least one woman. = 80 + 90 + 24 + 1= 
80 + 90 + 24 + 1 = 195
195   195
Answer: D
The unit digit in the product (124 * 812 * 816 * 467) is: Choose the correct choice from the following:
A) 2
B) 7
C) 6
D) 8
E) 1

Solution: Explanation:   Unit digit in the given product = Unit Digit in (4*2*6*7) = 6   ANSWER: 6
Answer: C
A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?  Choose the correct choice from the following answers.
A) 21	B) 20	C) 24	D) 22	E) 23

Solution: Let present age of the son =x years   Then, present age the man =(x+24) years   Given that, in 2 years, man's age will be twice the age of his son   ⇒(x+24)+2=2(x+2)⇒x=22   Answer is 22.
Answer: D
A building contractor employs 20 male, 15 female and 5 child workers. To a male worker he pays Rs.25 per day, to a female worker Rs.20 per day and a child worker Rs.8 per day. The average wage per day paid by the contractor is? Choose one
A) 24	B) 21	C) 20	D) 22	E) 25

Solution: 20 15 5   25 20 8   500 + 300 + 40= 
500 + 300 + 40 = 840
840/40= 
840/40 = 21
21   Answer: 21
Answer: B
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.18000?  Choose the correct choice from the following options
A) 6620  B) 2888  C) 2776  D) 2997  E) 5958

Solution: A = 18000(11/10)^3   = 23958   = 18000   ----------   5958   Answer: 5958
Answer: E
I purchased a superb bike and like my bike my number plate is also superb.
The number plate is a five digit number plate and its water image is 78633 more than the number plate.
Also all digits are unique.
Whats is my number plate number ?	Choose the correct choice from the following:
A) 10935 B) 10968 C) 23984 D) 13725 E) 11332

Solution: 10968   10968   Water image is 89601
Answer: B
Two different solutions of alcohol with respective proportions of alcohol to water of 3:1 and 2:3 were combined. What is the concentration of alcohol in the new solution if the first solution was 2.5 times the amount of the second solution?	Choose the correct choice from the following options.
A) 62
B) 65
C) 68
D) 70
E) 72

Solution: SOL:   Lets assume that 25L of sol1 was mixed with 10L of sol2.   Alcohol in Sol1: 25*3/4 = 18.75L   Alcohol in Sol2: 10*2/5 = 4L   Total Alcohol in the mixed solution of 35L = 18.75 + 4= 
18.75 + 4 = 22.75
22.75L   Alcohol concentration in the new sol: (22.75/35)*100= 
(22.75/35)*100 = 65
65%   ANSWER:65
Answer: B
Which of the following is divisible by the first four positive even integer multiples of 31?
(i) 13020
(ii) 123752
(iii) 496496  Choose the correct choice from the following options:
A) None  B) iii only  C) ii and iii only  D) i and ii only  E) i, ii and iii

Solution: A positive integer x is divisible by the first four integer multiples of 31 if and only if it is divisible by their least common multiple, 3*4*31=124.   124*4= 
124*4 = 496
496, so (iii)=(4000+4)*124=4004*124, hence (iii) is divisible by 124.   124*(1000-2)=124000-248= 
124000-248 = 123_752
123752, so (iii) is divisible by 124.   Finally, 13020-10*124=13020-12400= 
13020-12400 = 620
620=5*124, so (i) is divisible by 124.   Answer i, ii and iii.
Answer: E
A and B can finish a work in 12 days while A alone can do the same work in 20 days. In how many days B alone will complete the work?
Select
A) 76 days  B) 30 days  C) 98 days  D) 31 days  E) 22 days

Solution: 30 days = 1/12 – 1/20 = 2/60 = 1/30=> 30 days   Answer: 30 days
Answer: B
Mitali, a student of VIIIth standard, ranks eighth when put in class VIII A, ranks fifth when put in class VIII B, and ranks sixth when put in class VIII C. What will be Mitali's rank if students of all the three sections are put together?  Choose the most appropriate option.
A) 17th B) 16th C) 15th D) Cannot be determined E) None of these

Solution: 7+4+5= 
7+4+5 = 16
16   16 students have higher rank than her..   So answer is 17th   17thNSWER:17th
Answer: A
A group of people, cats, and birds has seventy legs, thirty heads, and twenty
tails. How many cats are among this group? (Assume all birds have two legs and a tail.) Choose the correct choice from the following options.
A) 0  B) 5  C) 10  D) 15  E) 20

Solution: Write P, C, and B for the number of people, cats, and birds respectively, so that   we have   2P + 4C + 2B = 70; P + C + B = 30; C + B = 20:   Comparing the last two equations we obtain P = 10, and the rst equation simplies to   4C + 2B = 50, or 2C + B = 25. Therefore,   C = (2C + 5) / (C + 5) = 25 / 5= 
25 / 5 = 5
5:   Alternatively,   C= 1   2   2P + 4C + 25   P + C + 5   = 35 - 30= 
35 - 30 = 5
5:   correct answer 5
Answer: B
3 men and 10 boys finish a job in 9 days, 7 men and 7 boys finish it in 8 days. 9 men and 9 boys shall finish it in how many days?
Choose the correct option
A) 18	B) 09	C) 07	D) 19	E) 12

Solution: 3 M + 10 09 ----- 09 days   7 M + 7 09 ------- 8 days   9 M + 9 09 -------?   21 M + 70 09 = 63 M +63 09   7 09= 42 M => 6 M = 1 09 =>1 09 =6 M   3 M + 60 M = 63 M ---- 9 days   9 M + 54 M = 63 M -----? => 9 days   Answer: 09
Answer: B
A man can row his boat with the stream at 16 km/h and against the stream in 4 km/h. The man's rate is?	Choose the correct choice from the following choices:  A) 1 kmph  B) 3 kmph  C) 6 kmph  D) 7 kmph  E) 5 kmph

Solution: DS = 16   US = 4   S = ?   S = (16 - 4)/2= 
(16 - 4)/2 = 6
6 kmph   Answer: 6 kmph
Answer: C
Sam's dad is 4 times older than his son. In 22 years from now, however, he'll only be twice his son's age. How old will Sam be 22 years from now?	Choose the correct answer:
A) 22 years	B) 33 years	C) 44 years	D) 55 years	E) 66 years

Solution: At the present,   Sam's age is x.   Sam's father's age is y= 4x.   In 22 years from now,   Sam's age will be x+22.   Sam's father's age will be y+22=2 (x+22).   If we take both equations,   y=4x, and   y+22=2 (x+22),   then   y+22=4x+22=2 (x+22)   4x+22=2x+44   4x-2x=44-22   2x=22   x=11   This is, however, Sam's current age. Since the question is how old he'll be in 22 years from now, the answer 11+22= 
11+22 = 33
33.   ANSWER: 33 years
Answer: B
A(4, w^2) is the (x, y) coordinate of point located on the parabola Y = X^2 + 9. What is the value of w?	Options.
A) 3.
B) 4.
C) 5.
D) 6.
E) 9.

Solution: y=x^2 +9   w^2=4^2+9   w^2=25   W=5   Answer 5.
Answer: C
Arun, Kamal and Vinay invested Rs.8000, Rs.4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?  Choices
A) 10000 and 15000 B) 15000 and 10000 C) 5000 and 20000 D) 20000 and 5000 E) 1000 and 15000

Solution: As both A and B invest the same amounts, the ratio of their profits at the end of the year is equal to the ratio of the time periods for which they have invested.   Thus, the required ratio of their profits = A : B = 8 : 12 = 2 : 3.   Hence, share of 10000 and 15000 in the total profit = 2/5x25000 = Rs.10000   Similarly, share of B in the total profit =3/5x25000 = Rs.15000 answer :10000 and 15000
Answer: A
If eight persons sit in a row, then the probability that three particular persons are always together is?
Options.
A) 1/5  B) 1/4  C) 1/9  D) 1/28  E) 3/28

Solution: Eight persons can be arranged in a row in 8! ways.   Treat the three persons to sit together as one unit then there six persons and they can be arranged in 6! ways.   Again three persons can be arranged among them selves in 3! ways.   Favourable outcomes = 3!6!   Required probability = 3!6!/8! = 3/28   Answer:3/28
Answer: E
If a(a + 6) = 7 and b(b + 6) = 7, where a ≠ b, then a + b =	Choose the correct choice from the following:  A) −48  B) −6  C) 2  D) 46  E) 48

Solution: a(a + 6) = 7   => we have a = 1 or -7   also b(b + 6) = 7   => b = 1 or -7   given a ≠ b   1) when a =1, b= -7 and a + b = -6   1) when a = -7, b= 1 and a + b = -6   Answer choice −6
Answer: B
How many positive even integers less than 100 contain digits 4 or 7? Choose the correct choice from the following answers.
A) 16  B) 17  C) 18  D) 19  E) 20

Solution: One digit numbers: 4   Two digit numbers:   4 at tens place: 40,42,44,46,48   7 at tens place: 70,72,74,76,78   4 at units place: 14,24,34,54,64,84,94 (duplicates removed)   If 7 is at units place, the number cant be even   Total:1+5+5+7= 
1+5+5+7 = 18
18   Answer 18
Answer: C
The average salary of 15 people in the shipping department at a certain firm is $20,000. The salary of 5 of the employees is $20,000 each and the salary of 4 of the employees is $16,000 each. What is the average salary of the remaining employees?	Choices:
A) $19,250	B) $18,500	C) $18,000	D) $15,850	E) $22,600

Solution: total salary... 15*20k=300k   5 emp @ 20k =100k   4 emp @ 16k =64k   remaing 6 emp sal = 300k-100k-64k =136k   average300 -100 -64= 
300 -100 -64 = 136
136k   average=136k/6 = 22600   Ans:$22,600
Answer: E
If m=9^(x−1), then in terms of m, 3^(4x−2) must be which of the following?  Pick
A) m/3 B) 9m C) 9m^2 D) m^2/3 E) m^2/9

Solution: 3(4x−2)=3^2(2x−1)=9(2x−1)=9∗9(2x−2)=9∗(9(x−1))2=9m   Answer: 9m^2.
Answer: C
Dan's age after 18 years will be 5 times his age 6 years ago. What is the present age of Dan?
Answers.
A) 8
B) 10
C) 12
D) 14
E) 16

Solution: Let Dan's present age be x.   x+18 = 5(x-6)   4x = 48   x = 12   The answer is 12.
Answer: C
Which of the following CANNOT be the least common multiple of two positive integers x and y
Select the correct option
A) xy	B) x	C) y	D) y - x^2	E) x + y

Solution: The least common multiple of two positive integers cannot be less than either of them. Therefore, since y - x^2 is less than x, it cannot be the LCM of a x and y.   Answer: y - x^2
Answer: D
A train passes a station platform in 36 seconds and a man standing on the platform in 24 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?	Options
A) 877 m B) 240 m C) 167 m D) 887 m E) 180 m

Solution: Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train   = (15 x 24)m = 360 m. Let the length of the platform be x meters. Then, (x + 360)/36 = 15   ==> x + 360 = 540 ==> x   = 180 m.   Answer: 180 m
Answer: E
Albert is 2 times Mary’s age and 4 times as old as Betty. Mary is 14 years younger than Albert. How old is Betty?
Choose the correct choice from the following answers.
A) 5
B) 7
C) 10
D) 15
E) 18

Solution: A = 2M = M+14= 
+14 = 14
14   A= 28   A = 47, and so 7 = 7   The answer is 7.
Answer: B
How many words can be formed by using all letters of the word “PACKHORSE”	Choose the most appropriate option.
A) 40320	B) 44000	C) 42340	D) 56000	E) 14000

Solution: The word PACKHORSE contains 8 different letters.   Required number of words = 8p8 = 8! = (8x7x6x5x4x3x2x1) = 40320.   40320nswer 40320.
Answer: A
If y is the smallest positive integer such that 3,675 multiplied by y is the square of an integer, then y must be
Pick one:
A) 2
B) 5
C) 6
D) 7
E) 12

Solution: i just tried plugging in the numbers and found out that   12*3675 = 44, 100, which is a square of 210   12
Answer: E
The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. The highest score of the player is
Choose the correct choice from the following answers:	A) 165 runs	B) 170 runs	C) 172 runs	D) 174 runs	E) None

Solution: Solution   Let the highest score be x. Then, lowest score =(x-172)   = [(50 x 40)-(x+(x-172)]   = 38 x 48   2x= 2000+172-1824   2x=348   x= 174.   Answer 174 runs
Answer: D
Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.1015. Find the cost of each ice-cream cup? Options.
A) 34 B) 76 C) 29 D) 12 E) 20

Solution: Explanation:   Let the cost of each ice-cream cup be Rs.x   16(6) + 5(45) + 7(70) + 6(x) = 1015   96 + 225 + 490 + 6x = 1015   6x = 204 => x = 34.   34nswer:34
Answer: A
A river 2m deep and 45 m wide is flowing at the rate of 4 kmph the amount of water that runs into the sea per minute is?  Choose the correct choice:  A) 6000 M3  B) 4580 M3  C) 18500 M3  D) 4900 M3  E) 4700 M3

Solution: Explanation:   (4000 * 2 * 45)/60= 
(4000 * 2 * 45)/60 = 6_000
6000 M3   6000 M3nswer: Option 6000 M3
Answer: A
A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start at same point at 6:30 am. They shall first cross each other at ?	Choose the correct choice from the following choices
A) 7:15 am  B) 7:30 am  C) 6: 42 am  D) 7:50 am  E) 7:60 am

Solution: Explanation:   Relative speed between two = 6-1= 
6-1 = 5
5 round per hour   They will cross when one round will complete with relative speed,   which is 1/5 hour= 12 mins.   So 6:30 + 12 mins = 6:42   Option 6: 42 am
Answer: C
At what rate percent on simple interest will Rs.750 amount to Rs.950 in 5 years?
Pick one
A) 3.33%
B) 5.93%
C) 4.33%
D) 5.33%
E) 6.33%

Solution: 200 = (750*5*R)/100   R = 5.33%   ANSWER:5.33%
Answer: D
In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?	Select the correct option:
A) Rs.3250 B) Rs.6250 C) Rs.10250 D) Rs.11750 E) Rs.12000

Solution: 200 + 130= 
200 + 130 = 330
330   800 - 330= 
800 - 330 = 470
470   200 ---- 5000   470 ---- ?=> 11750   Rs.3250NSWER:Rs.3250
Answer: A
Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank in gallons is?  Choose the correct option: A) 100 B) 110 C) 120 D) 140 E) 150

Solution: Let the total time taken by both the pipes be 120 minutes to fill the tank.   Therefore, the number of gallons filled by both the tanks in one minute = (6 + 5)= 
(6 + 5) = 11
11 gallons.   At the same time a waste pipe is also opened which can empty 3 gallons per minute.   Hence, the number of gallons filled in one minute= (11 - 3)= 
(11 - 3) = 8
8 gallons.   Therefore, the number of gallons filled when all the three pipes are opened for 15 minutes= 8 x 15 = 120 gallons.   ANSWER:120
Answer: C
Which number is the odd one out?
159
248
951
357
122
582 Choose the correct choice from the following choices
A) 951  B) 246  C) 325  D) 147  E) 852

Solution: 951   951   In the rest there is the same difference between each digit, eg: 9(Ã¢â‚¬â€œ4) 5 (Ã¢â‚¬â€œ4)1
Answer: A
150 college students were asked in a survey if they preferred Windows or Mac brand computers. 40 Students claimed that they preferred Mac to Windows brand computers. One third as many of the students who preferred Mac to Windows, equally preferred both brands. 40 of the students had no preference. How many of the students in the survey preferred Windows to Mac brand computers?	Choose the correct choice from the following answers
A) 25
B) 40
C) 70
D) 60
E) 75

Solution: 150 = 40(Mac) + x(Window) + 40(both) => x=70   ANSWER:70
Answer: C
In one year, the population, of a village increased by 20% and in the next year, it decreased by 20%. If at the end of 2nd year, the population was 9600, what was it in the beginning?	Choose the correct choice from the following answers
A) 10000 B) 8000 C) 1988 D) 1277 E) 2081

Solution: x*120/100 * 80/100 = 9600   X*0.96=9600   X=9600/0.96= 
9600/0.96 = 10_000
> 10000   10000nswer:10000
Answer: A
The price of a T.V. set worth Rs. 8000 is to be paid in 20 installments of Rs. 750 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be? Choices.
A) 7250  B) 7200  C) 7820  D) 6000  E) 2799

Solution: Money paid in cash = Rs. 750   Balance payment = (8000- 1000) = Rs. 7250   7250nswer:7250
Answer: A
In a mixture of 60 liters, the ratio of milk and water is 2:1. What amount of water must be added to make the ratio of milk and water as 1:2?	Options.
A) 20 liters  B) 30 liters  C) 60 liters  D) 29 liters  E) 82 liters

Solution: 2:1 --- 60   1:2   2:4   ---------------   3   3 ----------- 60   3 ----------- ? => 60 liters   Answer:60 liters
Answer: C
A man swims downstream 72 km and upstream 45 km taking 6 hours each time; what is the speed of the current?	Choose the correct choice:
A) 2.28 B) 2.24 C) 2.27 D) 2.25 E) 2.23

Solution: 72 --- 6 2.25S = 12   ? ---- 1   45 ---- 6 US = 7.5   ? ---- 1 S = ?   S = (12 - 7.5)/2= 
(12 - 7.5)/2 = 2.25
2.25   Answer:2.25
Answer: D
A book store bought copies of a new book by a popular author, in anticipation of robust sales. The store bought 400 copies from their supplier, each copy at wholesale price z. The store sold the first 150 copies in the first week at 80% more than z, and then over the next month, sold a 100 more at 20% more than z. Finally, to clear shelf space, the store sold the remaining copies to a bargain retailer at 40% less than z. What was the bookstore’s net percent profit or loss on the entire lot of 400 books?  Pick.
A) 30% loss  B) 10% loss  C) 10% profit  D) 20% profit  E) 60% profit

Solution: [[z(150)(1.8)+z(100)(1.2)+z(150)(0.6)]/400z] - 1   [50[(3)(1.8) + (2)(1.2) + (3)(0.6)] / (50)(8)] - 1   [(5.4 + 2.4 + 1.8)/8] - [8/8]   +1.6/8   +20%   answer is 20% profit
Answer: D
54 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :  Pick one:
A) 33  B) 34  C) 26  D) 28  E) 19

Solution: Explanation:   Let the two parts be (54 - x) and x.   Then, 10 (54 - x) + 22x = 780   => 12x = 240   => x = 20.   Bigger part = (54 - x) = 34.   Answer: 34) 34
Answer: B
The speed of a boat in still water is 40kmph and the speed of the current is 10kmph. Find the speed downstream and upstream?
Pick one:
A) 50,30 kmph
B) 40,20 kmph
C) 29,25 kmph
D) 26,20 kmph
E) 12 ,10kmph

Solution: Speed downstream = 40 + 10= 
40 + 10 = 50
50 kmph   Speed upstream= 40 - 10= 
40 - 10 = 30
30 kmph   50,30 kmphnswer: 50,30 kmph
Answer: A
0.04 x 0.0162 is equal to:
Choose the correct choice from the following
A) 6.48 x 10(power -4)	B) 6.84 x 10(power -4)	C) 4.68 x 10(power -4)	D) 5.48 x 10(power -4)	E) None of them

Solution: 4 x 162 = 648. Sum of decimal places = 6.   So, 0.04 x 0.0162 = 0.000648 = 6.48 x 10(power -4)   6.48 x 10(power -4)nswer is 6.48 x 10(power -4).
Answer: A
The average salary/head of all theworkers in a workshop is Rs.850, if the average salary/head of 7technician is Rs.1000 and the average salary/head of the rest is Rs.780, the total no. of workersin the work-shop is ? Pick.
A) 18
B) 19
C) 22
D) 26
E) 28

Solution: Let the total number of workers be y.   So sum of salary for all workers = sum of salary of 7 technician + sum of salary for other y -7 workers.   7 x 1000 + 780(y -7) = 850 y   ⇒ 7000 + 780y - 5460 = 850y   ⇒ 70y = 1540   ∴ y = 22   So total number of workers = 22   22
Answer: C
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 800 nuts and 800 bolts?  Pick one:
A) 1,200 seconds B) 1,500 seconds C) 1,750 seconds D) 2,000 seconds E) 3,000 seconds

Solution: To minimize the amount of time, we should make both machines work all the time while producing 800 nuts and 800 bolts.   Two machines to produce 800 bolts will need   (800*1)/2= 
  (800*1)/2 = 400
400 seconds.   Two machines to produce 800 nuts will need (800*2)/2= 8000 seconds.   Total = 400 + 800 = 1,200.   1,200 secondsnswer: 1,200 seconds.
Answer: A
There are 7 orators A, B, C, D, E, F and G. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.	Choose the most appropriate option:
A) 7! / 3! B) 8! / 6! C) 5! x 3! D) 8! / (5! x 3!) E) 8! / (5! x 4!)

Solution: Select any three places for A, B and C. They need no arrangement amongst themselves as A would always come before B and B would always come before C.   The remaining 4 people have to be arranged in 4 places.   Thus, 7C3 x 4! = 7!x4!/(4!x3!)=7!/3!   7! / 3!NSWER:7! / 3!
Answer: A