MU-NLPC/Calc-aqua_rat huggingface dataset:
An investment with the Brown company yields 10% compounded annually over 2 years, while an investment with Green Crop. yields 20% annually over the same period. If Fernando invests a given amount in Green Corp, by what percent should Rita's initial investment exceed Fernando's, if she wants to invest in Brown but match the final value of his investment?	Pick: A) 16 B) 17 C) 18 D) 19 E) 20

Solution: Let Brown company's investment be b;   After 1 year = 1.1b   After 2 years = 1.1*1.1= 
1.1*1.1 = 1.21
1.21b   Let Green corp's investment be g;   After 1 year= 1.2g   After 2 years = 1.2g*1.2 = 1.44g   1.21b 1.2 *1.2= 
1.2 *1.2 = 1.44
1.44g   1.21b= 1.44g   b = (1.44/1.21)g = 1.19g(approx)   The answer is indeed 19%.   ANSWER:19
Answer: D
A crew can row a certain course up the stream in 84 minutes; they can row the same course down stream in 12 minutes less than they can row it in still water. How long would they take to row down with the stream  Answers
A) 45 or 23 minutes
B) 63 or 12 minutes
C) 72 minutes
D) 19 minutes
E) 25 minutes

Solution: A method has been discussed here to nullify the calculations though.   All I can input here is,   speed of a crew in still water = 1/2 ( speed upstream + speed downstream)   approximating this for time,   t = 1/2(84+ (t-12))   giving t = 72   72 minutes.
Answer: C
Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times taken to reach the destination would be (in minutes).
Choose the correct choice from the following options
A) 23 minutes
B) 30 minutes
C) 43 minutes
D) 23 minutes
E) 33 minutes

Solution: Distance travelled by Ramu = 45 * 4= 
45 * 4 = 180
180 km   Somu travelled the same distance in 6 hours.   His speed= 180/6= 
180/6 = 30
30 km/hr   Hence in the conditional case, Ramu's speed= 45 - 9= 
45 - 9 = 36
36 km/hr and Somu's speed= 30 + 10= 
30 + 10 = 40
40km/hr.   Therefore travel time of Ramu and Somu would be 5 hours and 4.5 hours respectively. Hence difference in the time taken= 0.5 hours = 30 minutes.   Answer:30 minutes
Answer: B
If 8 spiders make 4 webs in 9 days, then how many days are needed for 1 spider to make 1 web?
Choose the correct choice from the following answers.
A) 10
B) 20
C) 12
D) 16
E) 18

Solution: Explanation:   Let, 1 spider make 1 web in x days.   More spiders, Less days (Indirect proportion)   More webs, more days (Direct proportion)   Hence we can write as   (spiders)8:1   (webs) 1:9}::x:4   â‡’8Ã—1Ã—9=1Ã—4 Ã— x   â‡’x=18   Answer: Option 18
Answer: E
Eight participants are participating in a competition. In how many ways can the first three prizes be won?  Choose the correct choice:
A) 920 B) 680 C) 820 D) 336 E) 620

Solution: Out of 8 participants, the first three prizes can be won in,   8P3 = 8! / (8 - 3)!   = 8 x 7 x 6   = 336 ways   ANSWER:336
Answer: D
The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area? Answers:
A) 37.2%	B) 37.5%	C) 30.2%	D) 37.7%	E) 33.2%

Solution: Explanation:   100 * 100= 
100 * 100 = 10_000
10000   110 * 125= 
110 * 125 = 13_750
13750   -----------   3750   10000 ------ 3750   100 ------- ?=> 37.5%   Answer: Option 37.5%
Answer: B
An bus covers a certain distance at a speed of 220 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of? Choose the correct choice from the following options:
A) 600 km/hr B) 660 km/hr C) 730 km/hr D) 750 km/hr E) 760 km/hr

Solution: Distance = (220 x 5) = 1100 km.   Speed = Distance/Time   Speed = 1100/(5/3) km/hr. [We can write 1 hours as 5/3 hours]   Required speed = 1100 x 3 km/hr = 660 km/hr.   660 km/hr
Answer: B
A person travelled from his house to office at 30km/hr and office to house at 10km/hr. Then find the average speed?  Pick:
A) 15km/hr B) 20km/hr C) 32km/hr D) 24km/hr E) 25km/hr

Solution: 15km/hrverage speed = (2*30*10)/(30+10)= 
(2*30*10)/(30+10) = 15
15km/hr   15km/hrnswer is 15km/hr
Answer: A
Which of the following is not a leap year ? Choose the most appropriate option
A) 700	B) 800	C) 900	D) 1000	E) 1200

Solution: The century divisible by 400 is a   answer :700
Answer: A
The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by3 months. Find the age of the teacher.  Choose the correct choice from the following answers:
A) 20	B) 23	C) 25	D) 21	E) 22

Solution: Total age of 39 persons = (39 x 15) years   = 585 years.   Average age of 40 persons= 15 yrs 3 months   = 61/4 years.   Total age of 40 persons = (61/4 )x 40) years= 610 years.   :. Age of the teacher = (610 - 585)= 
(610 - 585) = 25
25 years.   Answer is 25.
Answer: C
Bob wants to run a mile in the same time as his sister. If Bob’s time for a mile is currently 10 minutes 40 seconds and his sister’s time is currently 5 minutes 20 seconds, by what percent does Bob need to improve his time in order run a mile in the same time as his sister?	Select the correct option:  A) 3%  B) 50%  C) 8%  D) 10%  E) 12%

Solution: Bob's time = 640 secs.   His sis' time = 320 secs.   Percent increase needed = (640-320/640) * 100 = 320/640 * 100= 
320/640 * 100 = 50
50%. Ans (50%).
Answer: B
In a 1 km race, A beats B by 28 meters in 7sec. Find A's time over the course?	Choose the correct answer
A) 4min,9sec	B) 4min,3sec	C) 4min,7sec	D) 3min,3sec	E) 5min,3sec

Solution: Explanation:   B covers 28 meters in 7sec. So, B's time over the course = =250 sec.   Whereas A's time over the course = 250 -7= 
250 -7 = 243
243 sec.   i.e A's time over the course is 4min , 3 sec.   Answer: 4min,3sec) 4min,3sec
Answer: B
If Rs.480 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum?  Choose the correct choice from the following answers:
A) s.575
B) s.595
C) s.590
D) s.570
E) s.585

Solution: 80 = (480*4*R)/100   R = 3.125%   I = (480*6*3.125)/100= 
(480*6*3.125)/100 = 90
90   480 +90= 
480 +90 = 570
570   ANSWER:s.570
Answer: D
42 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?	Choose one.
A) 28 B) 77 C) 36 D) 25 E) 13

Solution: Explanation:   Less Men, means more Days {Indirect Proportion}   Let the number of days be x   then,   27 : 42 :: 18 : x   [Please pay attention, we have written 27 : 42 rather than 42 : 27, in indirect proportion, if you get it then chain rule is clear to you :)]   {\color{Blue} x=\frac{42\times 18}{27}}   x = 28   So 28 days will be required to get work done by 27 men.   28nswer: 28
Answer: A
If 25% of x is 15 less than 15% of 1500, then x is?	Select.
A) 872
B) 738
C) 837
D) 840
E) 83

Solution: 25% of x = x/4 ; 15% of 1500   = 15/100 * 1500= 
15/100 * 1500 = 225
225   Given that, x/4= 225 - 15   => x/4 = 210 => x = 840.   Answer:840
Answer: D
A can complete a work in 12days and B can do the same work in 8days. If A after doing 2days, leaves the work, find in how many days B will do the remaining work? Pick
A) 2days
B) 4 1/2days
C) 6 1/2 days
D) 7 3/4days
E) 10days

Solution: The required answer = (12-2)*8 / 12 = 80/12 = 6 1/2days   Answer is 6 1/2 days
Answer: C
Mangala completes a piece of work in 15 days, Raju completes the same work in 30 days. If both of them work together, then the number of days required to complete the work is? Choose the correct choice:
A) 10 days B) 12 days C) 14 days D) 16 days E) 18 days

Solution: If A can complete a work in x days and B can complete the same work in y days, then, both   of them together can complete the work in x y/ x+ y days.   That is, the required No. of days = 15 × 30/45 = 10 days   10 days)
Answer: A
If the simple interest on a sum of money at fifteen percent per annum for four years is Rs.9000, compound interest on the same sum for the same period at the same rate of interest is  Choose the most appropriate option: A) 10,250.50 B) 12,010.50 C) 12,250.00 D) 10,012.50 E) 13,626.50

Solution: S I for 4 years = 9000 ie for one year =2250   The compound interest for Rs.2250 for the next three years = 2250(3)=6750, 6750*15/100 = 1012.50   The CI for four years 9000+1012.50 = 10,012.50   ANSWER:10,012.50
Answer: D
A total of 22 men and 30 women were at a party, and the average (arithmetic mean) age of all of the adults at the party was exactly 35 years. If the average age of the men was exactly 38 years, which of the following was closest to the average age, in years, of the women?
Choose the correct choice from the following answers:
A) 31  B) 31.5  C) 32.8  D) 32.5  E) 33

Solution: Let Aw = average age of women   Average = (Number of men X average age of men + Number of women X average age of women)/total number of people   35 * 52 = 22 * 38 + 30 * Aw   =>1820 = 836 + 30 Aw   => 30 Aw = 984   =>Aw = 32.8   Answer 32.8
Answer: C
A school having four classes only have student strength of 10, 20, 30 and 40 respectively. The pass percentages of these classes are 80%, 30%, 60% and 90% respectively. What is the pass percentage for the entire school? Select the correct option:
A) 56%
B) 76%
C) 34%
D) 68%
E) 46%

Solution: 80% of 10+30% of 20+60% of 30+90% of 40   =8+6+18+36= 
8+6+18+36 = 68
now 68 of 100= 68%   ANSWER:68%
Answer: D
How many two cent stamps are there in a dozen?  Select the correct option:
A) 14
B) 11
C) 25
D) 12
E) 19

Solution: 12   12, a dozen of anything is still 12!
Answer: D
Walking at the rate of 4kmph a man cover certain distance in 2hr 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in. Choose the correct choice:
A) 12 min
B) 25 min
C) 40 min
D) 48 min
E) 52 min

Solution: Distance = Speed * time     4*11/4= 
  4*11/4 = 11
11km   New Speed= 16.5 kmph   Therefore time = D/S = 11/16.5 = 40min   Answer : 40 min
Answer: C
A train running at the speed of 60 km/hr crosses a pole in 18 sec. What is the length of the train? Pick one:
A) 118
B) 150
C) 300
D) 258
E) 191

Solution: Speed = 60 * 5/18 = 50/3 m/sec   Length of the train = speed * time = 50/3 * 18= 
50/3 * 18 = 300
300 m   Answer: 300
Answer: C
A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train? Choose the correct choice from the following answers
A) A)150m B) B)270m C) C)180m D) D)158m E) E)350m

Solution: Length of the train be ‘X’   X + 120/15 = X + 250/20   4X + 480 = 3X + 750   X = 270m   Answer: 270m
Answer: B
There are three secretaries who work for four departments. If each of the four departments have one report to be typed out, and the reports are randomly assigned to a secretary, what is the probability A that all three secretary are assigned at least one report?
Pick:
A) 8/9 B) 64/81 C) 4/9 D) 16/81 E) 5/9

Solution: For each report there are three possible outcomes: Secretary A, Secretary B, Secretary 4/9   Total outcome: 3^3=27   Total outcome that three secretary are assigned at least one report: P(3,3)=3!=6   Probability A= 6/27=2/9.4/9
Answer: C
A is twice as fast as B. If B alone can do a piece of work in 30 days, in what time can A and B together complete the work?	Answers:
A) 13 B) 10 C) 16 D) 50 E) 23

Solution: Option B   Explanation:   A can do the work in 30/2 i.e., 15 days.   A and 10's one day's work = 1/15 + 1/30 = (2 + 1)/30 = 1/10   So A and 10 together can do the work in 10 days.
Answer: B
Nilesh sold an item for Rs.6400/- and incurred a loss of 20%. At what price should he have sold the item to have gained a profit of 20%?  Choose one: A) Rs.7800 B) Rs.9600 C) Rs.8750 D) Rs.8760 E) None of these

Solution: Explanation:   20% loss means SP = 80% of CP   :. CP = Rs.6400x100/80 = Rs.8000.   The SP for a gain of 20% = 8000+20% of 8000 = 8000+1600= 
8000+1600 = 9_600
Rs9600.   Answer: Option Rs.9600
Answer: B
Which expression is the greatest  Choose one.
A) 3852/3857  B) 3456/3461  C) 3591/3596  D) 3346/3351  E) 3453/3458

Solution: Options can be re-written as (x-5)x => 1-(5/x)   A) 1- (5/3857)   B) 1- (5/3461)   C) 1- (5/3596)   D) 1- (5/3351)   E) 1- (5/3458)   To get the largest among these second half should be the least and so denominator to be largest. Hence '3852/3857'.
Answer: A
The least number which when increased by 3 each divisible by each one of 24, 32, 36 and 54 is :	Choices: A) 427 B) 859 C) 869 D) 861 E) None of these

Solution: Solution   Required number = (L.C.M. of 24, 32, 36, 54) - 3 = 864 - 3= 
864 - 3 = 861
861. Answer 861
Answer: D
The average of 8 numbers is 21. If each of the number is multiplied by 8, the average of the new set of numbers is : Select the correct option
A) 168
B) 667
C) 288
D) 1991
E) 111

Solution: 168verage of new numbers = (21×8)=168   168nswer:168
Answer: A
If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,814,477 minutes earlier? (Assume standard time in one location.)  Choose one.
A) 6:41
B) 6:35
C) 6:33
D) 6:30
E) 6:27

Solution: 6:27 minus 2,814,477 in any way must end with 0.   The only answer choice which ends with 0 is D.   The answer is 6:30.
Answer: D
The sum of 3 hours 45 minutes and 1 hours 55 minutes is approximately what percent of a day?
Choose the correct choice from the following options:
A) 21%  B) 22%  C) 23%  D) 24%  E) 25%

Solution: Since the question is asking for an approximate percentage   3:45+1:55 ~ 6 hours   % of day = 6*100/24 ~ 6*100/25= 
6*100/25 = 24
24%   Answer is 24%.
Answer: D
A certain characteristic in a large population has a distribution that is symmetric about the mean m. 60 percent of the distribution lies within one standard deviation d of the mean. If the shelf’s average life is 7.2 years and the standard deviation is 2.8 years, what percent of the distribution has more than 10.0 years as a shelf’s average life? Choose the correct choice from the following answers:
A) 10%
B) 12%
C) 14%
D) 15%
E) 17%

Solution: Average = 7.2   SD = 2.8   7.2 - 2.8 < 60% of distribution < 7.2 + 2.8   4.4 < 60% of distribution < 10.0   30% is outside this range.   Given: Distribution is symmetric. So 15% of distribution is less than 7.5 and the other 15% of distribution is greater than 10.0.   Answer: 15%
Answer: D
If x represents the sum of the interior angles of a regular hexagon and y represents the sum of the interior angles of a triangle, then the difference between x and y is equal to the sum of the interior angles of what geometric shape? Choose the most appropriate option:
A) Triangle	B) Square	C) Rhombus	D) Trapezoid	E) Pentagon

Solution: Sum of angles of Hexagon = 180*(6-2)= 
180*(6-2) = 720
720=> using formula sum of angles of polygon = 180*(n-2) where n is the number of sides in a polygon   Sum of angles in triangle = 180*(3-2)= 
180*(3-2) = 180
180   Difference= 720 - 180= 
720 - 180 = 540
540=> Pentagon   hence (Pentagon).
Answer: E
Given that a “16-inch pizza” means circular pizza with a diameter of 12 inches, changing from an 8-inch pizza to a 16-inch pizza gives you approximately what percent increase in the total amount of pizza?  Pick:  A) 33  B) 50  C) 67  D) 180  E) 300

Solution: area of 8 inch pizza= 4*4*pi=16 pi   area of 16 inch pizza =8*8*pi=64 pi   48/16*100= 
48/16*100 = 300
300% increase   hence answer is 300
Answer: E
What is the sum of the integers from -185 to 195 inclusive?  Select the correct option
A) 0 B) 5 C) 375 D) 1905 E) 965

Solution: sum/n= average.   sum=(average)(n)   average=a+b/2=-185+195/2=5   number of items(n)=B-A+1=195-(-185)+1=195+186= 
195+186 = 381
381.   sum=average*n=5*381= 
5*381 = 1_905
1905.   answer is 1905
Answer: D
What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent? Select.
A) 500
B) 520
C) 600
D) 300
E) 250

Solution: 70 = (P*4*7/2)/100   P = 500   500NSWER 500
Answer: A
At a contest with 500 participants, 1/2 of the people are aged 28 to 32. Next year, the number of people aged 28 to 32 will increase by 1/8. After this change, what percentage of the total 500 people will the 28- to 32-year-olds represent? Choose the correct choice from the following choices:
A) 33.25% B) 40.25% C) 50.25% D) 55.25% E) 56.25%

Solution: I just wanted to mention a couple of things here:   * this is a pure ratio question; the number 500 is completely irrelevant, and you can ignore it if you like. When we increase something by 1/8, we are multiplying it by 1 + 1/8 = 9/8, so the answer here must be (1/2)*(9/8) = 9/16 = 56.25 %.   Answer is 56.25%
Answer: E
If t and y are both odd prime numbers and t < y, how many distinct positive integer factors does 2ty have? Choose the correct choice from the following:
A) 3
B) 4
C) 6
D) 8
E) 12

Solution: Since 2ty prime factors are t^1*y^1*2^1, its total number or factors must be (1+1)(1+1)(1+1)=2^3=8. Thus, I think 8 would be the correct answer.
Answer: D
Uncle Bruce is baking chocolate chip cookies. He has 36 ounces of dough (with no chocolate) and 16 ounces of chocolate. How many ounces of chocolate are left over if he uses all the dough but only wants the cookies to consist of 20% chocolate?  Choose the correct choice from the following:  A) 3  B) 6  C) 7  D) 7.8  E) 9

Solution: Answer is C.   x/x+36=1/5   x=9   16-9= 
16-9 = 7
7
Answer: C
Which of the following equations has a solution in common with x^2 - 6x + 9 = 0? Pick one
A) x^2 + 4x +4 = 0 B) 3x^2 + 10x + 3 = 0 C) x^2 + 2x - 3 = 0 D) 3x^2 + 17x - 6 = 0 E) none of the above

Solution: Given : x^2 - 6x + 9 = 0 => (x-3) (x-3) = 0 => 3 (both 3s) is the only roots.   A. x^2 + 4x +4 = 0 => (x+2) (x+2)   B. 3x^2 + 10x + 3 = 0 => (3x+1) (x+3)   C. x^2 + 2x - 3 = 0 => (x+3) (x-1)   D. 3x^2 + 17x - 6 = 0 => (3x-1) (x+6)   None of the answer equations have either of the same roots as the question equation...   So IMO "E" is correct answer... because none of the given answers share a common root of 3 (part of the solution) in any parts of their simplifications.
Answer: E
In how many ways Chief Minister and Minister be elected from a team of 8 members?	Choose the correct choice from the following options: A) 124 B) 29 C) 32 D) 56 E) 65

Solution: To do this, if captain is elected first, then we have 8 ways of doing this.   For election of vice-captain, we have only 7 ways left, coz 1 way is already consumed. (Situations like this is called dependent situation. One selection depends upon other selection.)   So, the ans is 8*7= 
8*7 = 56
56 ways.   56
Answer: D
If -1 < h < 5, which of the following has the greatest value?  Choose the correct choice from the following
A) a) 1-h  B) b) 1+h  C) c) 1+h^2  D) d) 1-1/h  E) e) 1-1/(h^2)

Solution: easiest way of solving this would be to substitute a value.   lets say h= - 1/2   a) 3/2   b) 1/2   c) 5/4   d) 3   e) - 3   the value you chose is wrong . h cannot be 0.9 as -1<h<0. if you chose -0.9 answer will still be D.   Answer is e) 1-1/(h^2).
Answer: E
How many words can be formed by using all letters of the word ‘DOHA’ ?  Choose the correct choice from the following choices:	A) 12	B) 42	C) 24	D) 21	E) 120

Solution: Solution   The word DOHA contains 4 different letters.   Required number of words = 4P4 = 4 ! = (4 x 3 x 2 x 1) = 24   Answer 24
Answer: C
Find the odd man out
32, 34, 42, 46, 58, 59, 60, 66  Choose the most appropriate option:  A) 31  B) 41  C) 67  D) 59  E) 61

Solution: as 59 is only odd number.   ANSWER:59
Answer: D
40% of a number is added to 60, the result is the same number. Find the number?	Choose the correct choice from the following answers:  A) 300  B) 288  C) 270  D) 100  E) 281

Solution: (40/100) * X + 60 = X   4x+600 = 10x   6x=600   x= 100   Answer : 100
Answer: D
If a2 + b2 + c2 = 560 and ab + bc + ca =8, then a + b + c is Pick:
A) 4  B) 52  C) 16  D) 24  E) 64

Solution: by formula ,   (a + b + c)^2= a^2 + b^2 + c^2 + 2(ab + bc + ca),   since, a^2 + b^2 + c^2 = 560 and ab + bc + ca = 8,   (a + b + c)^2 = 560 + 2(8)   = 576   = 24^2   therefore: a + b + c = 24   ANSWER:24
Answer: D
A can do a piece of work in 40 days; B can do the same in 20 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
Pick
A) 24 days  B) 65 days  C) 86 days  D) 40 days  E) 17 days

Solution: 10/40 + 10/20 + 10/x = 1   x = 40 days   Answer:40 days
Answer: D
The ratio of the earnings of P and Q is 9:10. If the earnings of P increases by one-fourth and the earnings of Q decreases by one-fourth, then find the new ratio of their earnings?
Choose the most appropriate option.
A) 4/7  B) 3/2  C) 3/5  D) 9/4  E) 3/1

Solution: Let the earnings of P and Q be 9x and 10x respectively.   New ratio = [9x + 1/4 (9x)]/[10x - 1/4 (10x)]   => 9*(1 + 1/4)/10*(1 - 1/4)   => 9/10 * (5/4)/(3/4) = 3/2   Answer: 3/2
Answer: B
X and Y are both integers. If X/Y = 50.60, then what is the sum of all the possible two digit remainders of X/Y?	Answers.
A) 315 B) 616 C) 672 D) 900 E) 1024

Solution: Remainder = 0.60 --> 60/100 --> Can be written as (60/4) / (100/4) = 15/25   So remainders can be 15, 30, 45, 60, ..... 90.   We need the sum of only 2 digit remainders --> 15 + 30 + 45 + 60 + 75 + 90 = 315   315nswer: 315--  15 + 30 + 45 + 60 + 75 + 90= 
--  15 + 30 + 45 + 60 + 75 + 90 = 315
315   315nswer: 315
Answer: A
A sum of money at simple interest amounts to Rs. 825 in 3 years and to Rs. 850 in 4 years. The sum is?
Choose the most appropriate option
A) s. 738
B) s. 750
C) s. 650
D) s. 730
E) s. 735

Solution: S.I. for 1 year = (850 - 825) = Rs. 25   S.I. for 3 years = 25 * 3 = Rs. 75   Principal = (825 - 75) = Rs. 750.   ANSWER:s. 750
Answer: B
What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 59?
Choose the correct choice from the following options
A) 3944 B) 920 C) 7290 D) 6928 E) 4012

Solution: Explanation:   Let the side of the square plot be a ft.   a2 = 289 => a = 17   Length of the fence = Perimeter of the plot = 4a = 68 ft.   Cost of building the fence = 68 * 59 = Rs. 4012.   Answer: Option 4012
Answer: E
Speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph. A man rows to a place at a distance of 7560 km and comes back to the starting point. The total time taken by him is:
Choose the most appropriate option
A) 914.2 hours B) 900 hours C) 915 hours D) 905 hours E) 960 hours

Solution: 960 hoursxplanation:   Speed downstream = (16 + 2)= 
(16 + 2) = 18
18 kmph   Speed upstream= (16 - 2)= 
(16 - 2) = 14
14 kmph   Total time taken= 7560/18 + 7560/14 = 420 + 540= 
420 + 540 = 960
960 hours   Answer: Option 960 hours
Answer: E
Solve the following quadratic equation by factoring.
U2-5U-14=0
Choose the correct option:
A) -2,-7	B) 2,-7	C) 1,8	D) 1,-8	E) 2,6

Solution: We already have zero on one side of the equation, which we need to proceed with this problem. Therefore, all we need to do is actually factor the quadratic.   (U+2)(U-7) = 0   U=-2 -2,-7ND U = 7   -2,-7NSWER -2,-7
Answer: A
The difference of 2 digit number & the number obtained by interchanging the digits is 36. What is the difference the sum and the number if the ratio between the digits of the number is 1:2 ?  Answers.
A) 7  B) 8  C) 9  D) 10  E) 12

Solution: Let the number be xy.   Given xy – yx = 36.   This means the number is greater is than the number got on reversing the digits.   This shows that the ten’s digit x > unit digit y.   Also given ratio between digits is 1 : 2 => x = 2y   (10x + y) – (10y +x) = 36 => x – y = 4 => 2y – y =4.   Hence, (x + y) – (x – y) = 3y – y = 2y = 8   8
Answer: B
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?	Choose one
A) 58 km/hr
B) 50 km/hr
C) 60 km/hr
D) 98 km/hr
E) 76

Solution: Speed of the train relative to man = 125/10 = 25/2 m/sec.   = 25/2 * 18/5= 
25/2 * 18/5 = 45
45 km/hr   Let the speed of the train be x km/hr. Then, relative speed= (x - 5) km/hr.   x - 5 = 45 => x = 50 km/hr.   Answer:50 km/hr
Answer: B