MU-NLPC/Calc-aqua_rat huggingface dataset:
A man invested Rs. 14,400 in Rs. 100 shares of a company at 25% premium.If the company declares 5% dividend at the end of the year,then how much does he get ?  Choose the most appropriate option:
A) Rs. 576 B) Rs. 600 C) Rs. 650 D) Rs. 720 E) None

Solution: Solution   Number of shares = (14400/125) = 115.2.   Face value = Rs. (100x115.2 ) = Rs. 11520.   Annual income = Rs.(5/100x11520) = Rs. 576.   Rs. 576nswer Rs. 576
Answer: A
X and Y started a business with capitals Rs. 20000 and Rs. 25000. After few months Z joined them with a capital of Rs. 30000. If the share of Z in the annual profit of Rs. 50000 is Rs. 14000, then after how many months from the beginning did Z join?
Choose the correct choice
A) 2  B) 6  C) 7  D) 8  E) 5

Solution: Investments of X, Y and Z respectively are Rs. 20000, Rs. 25000 and Rs. 30000   Let investment period of Z be x months.   Ratio of annual investments of X, Y and Z is (20000 * 12) : (25000 * 12) : (30000 * x)   = 240 : 300 : 30x = 8 : 10 : x   The share of Z in the annual profit of Rs. 50000 is Rs. 14000.   => [x/ (18 + x)] 50000 = 14000 => [x/ (18 + x)] 25 = 7   => 25x = 7x + (18 * 7) => x = 7 months.   Z joined the business after (12 - 7) months. i.e., 5 months.   Answer: 5
Answer: E
If the sum and difference of two numbers are 5 and 10 respectively, then the difference of their square is:	Select:  A) 50  B) 28  C) 160  D) 180  E) 18

Solution: Let the numbers be x and y.   Then, x + y = 5 and x - y = 10   x2 - y2 = (x + y)(x - y) = 5 * 10= 
5 * 10 = 50
50.   50NSWER:50
Answer: A
47% of the students in a class of 38 students has glasses or contacts. How many students in the class have either glasses or contacts?	Select the correct option.
A) 15
B) 16
C) 17
D) 18
E) 19

Solution: a=r⋅b   47%=0.47a   =0.47⋅34   a≈18   Option 18 is correct.
Answer: D
A person travels at a speed of 10 mph from one city to another. However while returning as there was not much traffic. He came with a speed of 15mph. what is his average speed?	Choose the correct choice from the following options.
A) 10Kmph
B) 11Kmph
C) 12Kmph
D) 13Kmph
E) 14Kmph

Solution: Average speed = 2xy/(x+y) = (2*15*10)/25= 
(2*15*10)/25 = 12
12Kmph   ANSWER:12Kmph
Answer: C
In a barrel of juice there is 20 liters; in a barrel of beer there are 80 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?	Choose the correct option
A) 3:2.
B) 2:1.
C) 3:1.
D) 4:3.
E) 3:4

Solution: Price of 20 L juice= 3x   1L= 3x/20   Price of 80 L beer= 4x   1L= 4x/80   Ratio of 1 L price = 3x/20/4x/80= 3:1   3:1. is the answer
Answer: C
A fruit seller had some oranges. He sells 10% oranges and still has 360 oranges. How many oranges he had originally?	Choose the correct choice from the following choices:
A) 420 B) 700 C) 220 D) 400 E) None of these

Solution: Explanation :   He sells 10% of oranges and still there are 360 oranges remaining   => 90% of oranges = 360   ⇒ (90 × Total Oranges)/100 = 360   ⇒ Total Oranges/100 = 4   ⇒ Total Oranges = 4 × 100 = 400   Answer : Option 400
Answer: D
A dog takes 2 leaps for every 3 leaps of a hare. If one leap of the dog is equal to 5 leaps of the hare, the ratio of the speed of the dog to that of the hare is :  Choose the most appropriate option.
A) 9 : 3
B) 3 : 10
C) 2 : 3
D) 6 : 3
E) 10 : 3

Solution: 10 : 3xplanation:   Dog : Hare = (2*5) leaps of hare : 3 leaps of hare = 10 : 3   Answer: 10 : 3
Answer: E
A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containg 19% alcohol and now the percentage of alcohol was found to be 26%. What quantity of whisky is replaced ? Choose the correct option:
A) 1/3
B) 2by3
C) 2/5
D) 3/5
E) 4/5

Solution: Let us assume the total original amount of whiskey = 10 ml ---> 4 ml alcohol and 6 ml non-alcohol.   Let x ml be the amount removed ---> total alcohol left = 4-0.4x   New quantity of whiskey added = x ml out of which 0.19 is the alcohol.   Thus, the final quantity of alcohol = 4-0.4x+0.19x ----> (4-0.21x)/ 10 = 0.26 ---> x = 20/3 ml.   Per the question, you need to find the x ml removed as a ratio of the initial volume ---> (20/3)/10 = 2/3.   Hence, 2by3 is the correct answer.
Answer: B
A train passes a station platform in 36 sec and a man standing on the platform in 25 sec. If the speed of the train is 54 km/hr. What is the length of the platform?	Choose the correct choice.
A) 288 B) 165 C) 881 D) 1277 E) 121

Solution: Speed = 54 * 5/18= 
54 * 5/18 = 15
15 m/sec.   Length of the train= 15 * 25= 
15 * 25 = 375
375 m.   Let the length of the platform be x m . Then,   (x + 375)/36= 15 => x = 165 m.   Answer: 165
Answer: B
What is 2/5 of 5/9 of 1/2? Choices.
A) 1/4	B) 1/9	C) 9/16	D) 5/8	E) 16/9

Solution: 2/5 * 5/9 * 1/2= 1/9   Answer: 1/9
Answer: B
If q = 50! + 1, which of the following cannot be a prime factor of q?
I. 11
II. 29
III. 41  Choose the correct choice
A) I​ only	B) III only	C) II and III	D) I and II	E) I​, II, and III

Solution: The numbers 11, 29, and 41 are all factors of 50!   Therefore they can not be factors of 50! + 1.   The answer is I​, II, and III.
Answer: E
There are 19 teams in the hockey league, and each team faces all the other teams 10 times each. How many games are played in the season? Choose the correct answer
A) 1710	B) 1920	C) 2440	D) 2860	E) 3260

Solution: The number of ways to choose two teams is 19C2 = 19*18/2= 
19*18/2 = 171
171   The total number of games in the season is  10*171= 
 10*171 = 1_710
1710.   The answer is 1710.
Answer: A
The food in a camp lasts for 36 men for 45 days. If twelve more men join, how many days will the food last?	Choose the correct choice from the following answers.
A) 80 days B) 30 days C) 65 days D) 34 days E) 15 days

Solution: one man can consume the same food in 36*45= 
36*45 = 1_620
1620 days.   12 more men join, the total number of men= 48   The number of days the food will last = 1620/48   = 34 days.   Answer:34 days
Answer: D
The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago ?	Select
A) 71 years  B) 72 years  C) 74 years  D) 77 years  E) 78 years

Solution: Required sum = (80 - 3 x 3) years = (80 - 9)= 
(80 - 9) = 71
71 years.   71 yearsnswer: Option 71 years
Answer: A
The “c-number” of a number x is defined as the ones digit of 2^x. Antony rolls a die with 6 sides labeled with the integers from 1 to 6, each of which has an equal probability of landing face-up. He then takes 3^c, where c is the c-number of the result of his die roll, and plots 3^c on a number line as the point A. Finally, he repeats this entire process, this time plotting the result as the point B. What is the probability that the distance between A and B is greater than the value of B?	Options.
A) 3/8
B) 13/36
C) 17/36
D) 19/36
E) 23/36

Solution: If you calculate 3^c for 1st roll, all 6 results will be 9, 81, 6561, 729, 9, 81. This result is the same for 2nd roll. 9, 81, 6561, 729, 9, 81.   About distance: If the first result is 9 and the second is also 9, the distance is   9-9= 
  9-9 = 0
0 which is smaller than 9. If the first result is 9 and the second is 81, the distance is   81-9= 
  81-9 = 72
72 which is also smaller than B which has the value of 81. If the first result is 81 and the second is 9, the distance will be greater than B. Distance  81-9= 
 81-9 = 72
72>9.   On the first roll, the probability of getting result 9 is 2/6. In this case no other alternative values for second roll which would make the distance greater than B. So probability is 0. So next estimations are:   probability of getting 81 on the first roll (2/6) * probability of getting 9 on the second roll (2/6)= 1/9   probability of getting 729 on the first roll (1/6) * probability of getting 9, 81 on the second roll (4/6) = 1/9   probability of getting 6561 on the first roll (1/6) * probability of getting 9, 81, 729 on the first roll (5/6) = 5/36   All together: 1/9 + 1/9 + 5/36 = 13/36=13/36
Answer: B
If the LCM of 9, 12, 5, and x is 180, which of the following could be x?  Choose the correct choice from the following answers:
A) 10	B) 12	C) 13	D) 9	E) 13

Solution: Using elimination method, eliminate the option to arrive at 10   if x is replaced by 10 and the LCM is calculated you arrive at 180   10
Answer: A
Last week we got 3.5 inches of snow. Six-tenths of an inch melted before another storm added
8.3 inches. Since then we have lost 4.2 inches to melting or evaporation. How may inches of snow
are left on the ground? Options:
A) 7" remaining
B) 5" remaining
C) 8" remaining
D) 6" remaining
E) 10" remaining

Solution: 3.5 - .6= 
3.5 - .6 = 2.9
2.9"    2.9 + 8.3= 
 2.9 + 8.3 = 11.2
11.2"    11.2 - 4.2= 
 11.2 - 4.2 = 7
7" remaining   correct answer 7" remaining
Answer: A
A man buy a book in Rs50 & sale it Rs100. What is the rate of profit ???  Choose the correct choice:
A) 10%  B) 100%  C) 30%  D) 25%  E) 28%

Solution: cp=50   sp=100   profit=100-50= 
100-50 = 50
50   %=50/50*100= 
50/50*100 = 100
100%   ANSWER:100%
Answer: B
Three numbers are in the ratio 1:2:3 and their H.C.F is 12. The numbers are?
Pick one.
A) 12, 24, 38 B) 12, 24, 56 C) 12, 24, 31 D) 12, 24, 36 E) 12, 24, 32

Solution: Let the required numbers be x, 2x and 3x. Then, their H.C.F = x. So, x = 12.   The numbers are 12, 24, 36.   Answer: 12, 24, 36
Answer: D
When a train travels at a speed of 90kmph,it reaches the destination on time.when the same train travels at a speed of 50kmph,it reaches its destination 15min late.what is the length of journey?
Choose one:
A) 18.75km
B) 50km
C) 60km
D) 85km
E) 95km

Solution: Let x be the time reached with the speed 90km/h   50km/h ----> x+15   Distance is equal so   90(km/h)× xhr = 50(km/h) × (x+15) hr   So   90 x = 50x + 750   So the would be in km   18.75kmnd x = 18.75   18.75kmNSWER:18.75km
Answer: A
A man has Rs.680 in the denominations of two-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?	Choices:
A) 160
B) 40
C) 680
D) 120
E) 180

Solution: Let number of notes of each denomination be x.   Then 2x + 5x + 10x = 680   17x = 680   x = 40   Hence, total number of notes = 3x = 120.   Answer is 120
Answer: D
R is the set of positive even integers less than 201, and S is the set of the squares of the integers in R. How many elements does the intersection of R and S contain ?
Answers.
A) None  B) Two  C) Four  D) Five  E) Seven

Solution: R is the set of positive even integers less than 201, and S is the set of the squares of the integers in R.   How many elements does the intersection of R and S contain?   R=2,4,6,8,10,12...   S=4,16,36,64...   Numbers: 4, 16, 36, 64, 100, 144, and 196 are even integers (less than 201) that are in both sets.   Solution: Seven   Answer: Seven
Answer: E
Of the three-digit integers greater than 700, how many have two digits that are equal to each other and the remaining digit different from the other two?	Pick one
A) 90 B) 82 C) 80 D) 45 E) 36

Solution: Three digit number can have only following 3 patterns:   A. all digits are distinct;   B. two digits are alike and third is different;   C. all three digits are alike.   We need to calculate B. B=Total - A - C   Total numbers from 700 to 999 = 299 (3-digit numbers greater than 700);   A. all digits are distinct = 3*9*8= 
3*9*8 = 216
216 (first digit can have only three values 7, 8, or 9);   C. all three are alike= 3 (777, 888, 999).   So, 299-216-3=80.   Answer: 80.
Answer: C
The difference between the squares of two consecutive numbers is 35. The numbers are	Options:  A) 14,15  B) 15,16  C) 17,18  D) 18,19  E) None

Solution: Explanation:   Let the numbers be a and (a+1)   (a+1)2−a2=35   ⇒a2+2a+1−a2=35   ⇒2a=34⇒2a=34 or a = 17   The numbers are 17 & 18.   17,18orrect Option: 17,18
Answer: C
A and B started a business with investments of Rs. 42000, and Rs. 63000 respectively. After 4 months B withdraws from the business. At the end of a year they got Rs. 9600 as total profit. Find the share of B.	Options.
A) Rs. 5600	B) Rs. 2800	C) Rs. 3200	D) Rs. 6400	E) None of these

Solution: Explanation:   Ratio of capitals of A and B = (42000 × 12) : (63000 × 4) = 2 : 1   B's share = Rs. [(1/3) × 9600] = Rs. 3200   Answer: Option Rs. 3200
Answer: C
A watch was sold at a profit of 15%. If its cost had been 5% less and it had been sold for Rs. 21 less, than the profit would have been 10%. Find the cost price of the watch
Choose the correct choice from the following choices
A) 100
B) 200
C) 120
D) 140
E) 160

Solution: let the price of the watch is x   it was sold at a profit of 15%   then the price of the watch is 1.15x   again cost had been decreased by 5% i.e 0.95x   according to the question   1.15x=0.95x*(110/100)+21   then x=200   ANSWER:200
Answer: B
If a/b = 4, b/c = 2/5, c/d = 6/5, d/e = 5/2 and e/f = 3, then what is the value of abc/def ?
Choose the correct choice from the following answers
A) 2704/4124
B) 4561/8645
C) 3235/7456
D) 475/8456
E) 3125/41472

Solution: Say a = 2. Then:   a/b = 4 --> b = 1/2;   b/c = 2/5 --> c = 5/4;   c/d = 6/5 --> d = 25/24;   d/e = 5/2 --> e = 5/12;   e/f = 3 --> f = 5/36.   abc/def = (2*1/2*5/4)/(25/24*5/12*5/36) = 3125/41472.   Answer: 3125/41472.
Answer: E
The average age 9 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?  Choose the correct choice from the following options:
A) 27 years  B) 87 years  C) 18 years  D) 19 years  E) 16 years

Solution: 9 * 2= 
9 * 2 = 18
18 years   Answer: 18 years
Answer: C
Excluding stoppages,the speed of the bus is 54kmph and
including stoppages,it is 27kmph. For how many minutes does the bus stop per hr	Choose the correct choice from the following choices
A) 12 min B) 11 min C) 13 min D) 20 min E) 30 min

Solution: Due to stoppages,it covers 27km less.   time taken to cover 27 km is [  27/54 *60= 
  27/54 *60 = 30
30min   Answer is 30 min.
Answer: E
The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is?	Answers:
A) 8
B) 9
C) 5
D) 2
E) 3

Solution: 2x * x = 128 => x= 8   8nswer: 8
Answer: A
Calculate the amount that an investor needs to be invest to earn $1005 in interest in 12 months if the investor plans to invest x dollars in a savings account that pays interest at an annual rate of 11% compounded semi-annually?  Choose one
A) 8000  B) 8100  C) 8900  D) 8600  E) 8400

Solution: the approach is substitution,   our interest requirement is $1005 after 12 months, 2 compounding period.   calculate the compound interest on each option and find out the one that yields 460 in 12 months   8900 yielded $1005   using the formula   A = P(1 + r/n)nt   hence answer is 8900
Answer: C
What is the number of integers from 1 to 1000 (inclusive) that are divisible by neither 10 nor by 35?	Choose the correct choice.
A) 884 B) 890 C) 892 D) 910 E) 945

Solution: Normally, I would use the method used by Bunuel. It's the most accurate. But if you are looking for a speedy solution, you can use another method which will sometimes give you an estimate. Looking at the options (most of them are spread out), I wont mind trying it. (Mind you, the method is accurate here since the numbers start from 1.)   In 1000 consecutive numbers, number of multiples of 11 = 1000/11 = 90 (Ignore decimals)   In 1000 consecutive numbers, number of multiples of 35 = 1000/35 = 28   Number of multiples of 11*35 i.e. 385 = 1000/385 = 2   Number of integers from 1 to 1000 that are divisible by neither 11 nor by 35 = 1000 - (90 + 28 - 2) {Using the concept of sets here) = 910   Think: Why did I say the method is approximate in some cases?   Think what happens if the given range is 11 to 1010 both inclusive (again 1000 numbers)   What is the number of multiples in this case?   910
Answer: D
In a company with 48 employees, some part-time and some full-time, exactly (1/3) of the part-time employees and (1/4) of the full-time employees take the subway to work. What is the greatest possible number of employees who take the subway to work?  Choose the correct choice:
A) 12 B) 13 C) 14 D) 15 E) 16

Solution: Let part time emp=x   Let full time emp=y   then,   48=x+y.........(1)   (1/3)x+(1/4)y=No. of ppl taking the subway   4x+3y/12=No. of ppl taking the subway   using 1   x/12+3*48/12=No. of ppl taking the subway   so, the minimum value of x has to be 12.   Hence to maximize the no. put 36 for x   36/12+12/4=15   ANSWER:15
Answer: D
Mismatched Joe is in a pitch dark room selecting socks from his drawer. He has only six socks in his drawer, a mixture of black and white. If he chooses two socks, the chances that he draws out a white pair is 2/3. What are the chances that he draws out a black pair?  Pick.
A) 4
B) 3
C) 2
D) 1
E) 0

Solution: Since there is a 2/3 chance of drawing a white pair,   Then there must be 5 white socks and only 1 black sock.   The chances of drawing two whites would thus be: 5/6 x 4/5 = 2/3 .   With only 1 black sock, there is no chance of drawing a black pair.   So, Zero chance of drawing a black pair.   ANSW0R:0
Answer: E
The radius of a cylindrical vessel is 7cm and height is 2cm. Find the whole surface of the cylinder?
Choose the correct choice from the following answers:
A) 308 sq cm	B) 220 sq cm	C) 396 sq cm	D) 132 sq cm	E) 138 sq cm

Solution: r = 7 h = 2   2πr(h + r) = 2 * 22/7 * 7(9) = 396   ANSWER:396 sq cm
Answer: C
The distance that light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 1000 years is:	Choose the correct choice from the following answers: A) 587 x 10^13 miles B) 999× 1238 miles C) 346 × 1012 miles D) 247 × 1012 miles E) 587 × 1012 miles

Solution: The distance of the light travels in one years is:   5,870,000,000,000 = 587 * 10 ^10   The distance of the light travels in 1000 years is:   = 587 * 10^10 x 10 ^3 = 587 x 10^13 miles   587 x 10^13 milesnswer :587 x 10^13 miles
Answer: A
The number 149 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers? Choose one.
A) 19	B) 16	C) 15	D) 14	E) 13

Solution: 2^2 + 8^2 + 9^2 = 149 --> 2 + 9 + 8 = 19.   19
Answer: A
A milkman mixed 10 liters of water to 50 litres of milk of Rs.16 per liter, then cost price of mixture per liter is
Choose the most appropriate option.
A) Rs.15.16 B) Rs.13.33 C) Rs.15 D) Rs.14.23 E) Rs.15.23

Solution: Total mixture = 10w + 50m = 60   Total S.P10  + 50= 
10  + 50 = 60
60   Total S.P= 16*60= Rs.960 @ Rs.16/lit   Now one can easily see in the statement that the milkman will get profit of 10 litres.   So, Gain = 10*60= Rs.160   Also, Gain = SP - CP   160=960-CP   CP = 800 for 60litres   so CP for 1 litre = 800/60 = 13.33   ANSWER:Rs.13.33
Answer: B
The average (arithmetic mean) of the even integers from 0 to 100 inclusive is how much greater than the average (arithmetic mean) of the even integers from 0 to 50 inclusive?	Choose the correct choice from the following options
A) 24  B) 25  C) 26  D) 48  E) 50

Solution: So, according to A mean of a set of even numbers from 0 to 100 =(0+100)/2= 
(0+100)/2 = 50
50 and mean of a set of even numbers from 0 to 50=(0+50)/2= 
(0+50)/2 = 25
25   Difference=50-25= 
50-25 = 25
25   Answer: 25.
Answer: B
B and C start a business with Rs.4000 and Rs.12000 respectively. How should they share their profits at the end of one year? Choose the correct choice from the following answers:
A) 3:1
B) 1:5
C) 1:4
D) 1:3
E) 1:2

Solution: They should share the profits in the ratio of their investments.   The ratio of the investments made by B and C =   4000 : 12000 => 1:3 .   Answer:1:3
Answer: D
Find the number which when added to itself 13 times, gives 112.	Options:
A) 7
B) 8
C) 9
D) 11
E) 12

Solution: Explanation:   Let the number be x. Then, x + 13x = 112 14x = 112 x = 8.   Answer: 8
Answer: B
The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of?  Choose the correct choice from the following: A) 6:5 B) 5:3 C) 8:6 D) 7:6 E) 9:8

Solution: 4:5   3:2   ------   12:15:10   12:10   6:5   6:5NSWER 6:5
Answer: A
In a sports contest there were m medals awarded on n successive days (n > 1). On the first day 1 medal and 1/7 of the remaining m " 1 medals were awarded. On the second day 2 medals and 1/7 of the now remaining medals was awarded; and so on. On the nth and last day, the remaining n medals were awarded. how many medals were awarded altogether?	Select: A) 36 medals B) 37 medals C) 38 medals D) 35 medals E) 34 medals

Solution: 1st day=1+35/7= 
1+35/7 = 6
6 remaining 30 medals   2nd day=2+28/7= 
2+28/7 = 6
6 remaining 24 medals   3rd day=3+21/7= 
3+21/7 = 6
6 remaining 18 medals   ...   6th day 6 medals    6*6= 
 6*6 = 36
36 medals   6 days   36 medalsNSWER:36 medals
Answer: A
What will be the remainder when 17^200 is divided by 18
Choices.
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: 17^200 % 18   (17-18)^200 % 18   (-1)^200 % 18   1 % 18 = 1   1NSWER:1
Answer: A
The price of a certain painting increased by 30% during the first year and decreased by 20% during the second year. The price of the painting at the end of the 2-year period was what percent of the original price?	Options
A) 102% B) 105% C) 120% D) 135% E) 104%

Solution: 104%asiest thing to do: Assume that price is 100   Price at the end of yr 1: 100+ 30 = 130   Price at the end of year 2 = 130 - 130*0.20 = 130*0.80= 
130*0.80 = 104
104   Hence required answer= (104/100)*100= 
(104/100)*100 = 104
104%   Answer is 104%.
Answer: E
39 persons can repair a road in 12 days,working 5 hours a day.In how many days will 30 persons,working 6 hours a day,complete the work ?	Choose the correct choice from the following answers:
A) 10	B) 13	C) 14	D) 15	E) 16

Solution: Solution   Let the required number of hours per day be x.   Less persons, More days (Indirect Proportion)   More working hrs per days, Less days (Indirect Proportion)   ∴ 30 × 6 × x = 39 × 5 × 12 ⇔ x = 39x5x12/30x6 =x =13. Answer 13
Answer: B
A batsman makes a score of 87 runs in the 17th inning and thus increases his averages by 3. Find his average after 17th inning? Choices:
A) 19
B) 29
C) 39
D) 49
E) 59

Solution: Solution   Let the average after 17th inning = x. Then, average after 16th inning = (x - 3)   Average   =16 (x-3)+87   = 17x or x=(87-48)= 
(87-48) = 39
39.   Answer 39
Answer: C
A man can row with a speed of 5 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?  Choose the correct option
A) A)15  B) B)18  C) C)10  D) D)11  E) E)15

Solution: M = 5   S = 5   DS = 5 + 5= 
5 + 5 = 10
10   Answer:10
Answer: C
A four digit number divisible by 7 becomes divisible by 3 when 19 is added to it. The largest such number is :	Choose the correct answer.
A) 4461  B) 4473  C) 4479  D) 4487  E) 4491

Solution: Out of all the 5 options, only 4487 is NOT divisible by 3. All others are divisible   So Answer = 4487 (No further calculation required)   Addition of any two non-divisible numbers by 3 gives the resultant divisible by 3   19 is non-divisible by 3; we are adding a number to that so that the resultant becomes divisible by 3   Applying the above rule,It means that the number which we are going to add should be non-divisible by 3   So comes the answer = 4487   Answer : 4487
Answer: D
Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 57 floors per minute. At the same time Joyce gets on an elevator on the 41st floor of the same building and rides down at a rate of 63 floors per minute. If they continue traveling at these rates, at which floor will their paths cross? Choose the correct choice from the following.
A) 19
B) 25
C) 30
D) 32
E) 44

Solution: Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 57 floors per minute. At the same time Joyce gets on an elevator on the 41st floor of the same building and rides down at a rate of 63 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?   30 floors/120 floors per minute=1/4 minutes   11+57/4=25   41-63/4=25   Answer : 25
Answer: B