MU-NLPC/Calc-aqua_rat huggingface dataset:
Anu can do a work in 6 days and Binu alone in 9 days. Anu and Binu undertook to do it for Rs.5100. With help of Minu, they completed the work in 3 days. How much is to be paid to Minu and Anu?
Choose the correct answer.
A) s.750, Rs.2250  B) s.2000, Rs.750  C) s.750, Rs.2000  D) s.850, Rs.2550  E) s.950, Rs.1250

Solution: Minuâ€™s one dayâ€™s work = 1/3 - 1/6 + 1/9= 1/3 - 5/18 = 1/18   Anuâ€™s wages: Binuâ€™s wages: Minuâ€™s wages = 1/6 : 1/9 : 1/18 = 6: 4: 2   Minuâ€™s share = Rs.5100* 2/12 = Rs.850   Anuâ€™s share = Rs.5100* 6 /12= 
.5100* 6 /12 = 0.255
Rs.2550   ANSWER:s.850, Rs.2550
Answer: D
In the following sequence: [x, y, z, 5, 7, 16, 28] each number is equal to the sum of the three numbers preceding it. What is 5x-2y?	Choose the correct choice from the following answers
A) 19
B) 16
C) 17
D) 18
E) 29

Solution: lets start from z, as per the question stem   z + 5 + 7 = 16   -->> z= 4   similarly, y + 4 + 5 = 7   --> y = -2   similarly,, x + -2 + 4 = 5   --> x = 3   hence , 5x-2y =5* 3-2*-2 = 15+4= 
15+4 = 19
19   19NSWER:19
Answer: A
The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 29,000 is made? Answers: A) Rs. 1,10,000 B) Rs. 1,20,000 C) Rs. 1,25,000 D) Rs. 1,21,000 E) None of these

Solution: The value of the machine after two years = 0.8 * 0.8 * 1,50,000 = Rs. 96,000   SP such that a profit of Rs. 24,000 is made = 96,000 + 24,000 = Rs. 1,25,000   ANSWER:Rs. 1,25,000
Answer: C
A train 90 m long is running with a speed of 54 km per hour. In what time will it pass a telegraph post?	Select the correct option:
A) 11 s	B) 10 s	C) 6 s	D) 12 s	E) None of these

Solution: We know from the formula Time = Distance/ Speed   Thus, Time = 90/ 54 x 5/18   or, Time = 6 sec.   ANSWER:6 s
Answer: C
Out of a classroom of 6 boys and 5 girls, the teacher randomly chooses a president for the student board, a vice president, and a secretary. What is the probability that only girls will be selected for all three positions?  Choose one.
A) 2/33	B) 4/33	C) 2/165	D) 4/165	E) 7/165

Solution: The number of ways to choose three people is 11C3=165.   The number of ways to choose three girls is 5C3=10.   P(only girls are chosen)=10/165=2/33   The answer is 2/33.
Answer: A
A Cistern is filled by pipe A in 6 hrs and the full Cistern can be leaked out by an exhaust pipe B in 10 hrs. If both the pipes are opened in what time the Cistern is full?  Choose the correct choice from the following answers
A) 15 hrs  B) 16 hrs  C) 17 hrs  D) 14 hrs  E) 18 hrs

Solution: Pipe A can fill 1/6 of the cistern in 1 hour.   Pipe B can empty 1/10 of the cistern in 1 hour   Both Pipe A and B together can effectively fill   1/6−1/10=2/30=1/15 of the cistern in 1 hour   i.e, the cistern will be full in 15 hrs.   15 hrsNSWER:15 hrs
Answer: A
What is the sum of the following series? -64, -66, -68, ..... , -100 Choices:
A) -1458 B) -1558 C) -1568 D) -1664 E) None of the above

Solution: Step by step solution   The sequence is -64, -66, -68, ..... -100.   The given set of numbers are in an arithmetic progression.   Key Data: First term is -64. The common difference is -2. The last term is -100.   Sum of the first n terms of an AP = n/2[2a1+(n−1)d]   To compute the sum, we know the first term a1 = -64 and the common difference d = -2.   We do not know the number of terms n. Let us first compute the number of terms and then find the sum of the terms.   Step to compute number of terms of the sequence   an = a1 + (n - 1)d   -100 = -64 + (n - 1)(-2)   Therefore, n = 19.   Sum Sn = 19/2[2(−64)+(19−1)(−2)]   Sn = 19/2[−128−36]   Sn = 19 * (-82) = -1558   The correct answer is Choice -1558.
Answer: B
A cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 10 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Choose the most appropriate option:
A) 4.3 hrs B) 8.9 hrs C) 2.9 hrs D) 7.2 hrs E) 8.6 hrs

Solution: Net part filled in 1 hour = (1/3 - 1/10)   = 7/30   The cistern will be filled in 30/7 hrs i.e., 4.3 hrs.   4.3 hrsnswer:4.3 hrs
Answer: A
The ratio of two numbers is 3 : 4 and their H.C.F. is 5. Their L.C.M. is Choose the most appropriate option:
A) 48  B) 22  C) 56  D) 60  E) 35

Solution: Explanation:   Let the numbers be 3x and 4x. Then, their H.C.F. = x. So, x = 5.   So, the numbers 15 and 20.   L.C.M. of 15 and 20 = 60.   Answer: Option 60
Answer: D
If 2x^2 + y^2 = 2xy, then (x + y)^2 = Select:	A) x^2	B) 3x^2+2y^2	C) 4xy	D) 2y^2	E) – y^2

Solution: (x+y)^2 = x^2 + y^2 + 2xy = x^2 + y^2+ 2x^2+y^2 = 3x^2+2y^2   Correct option : 3x^2+2y^2
Answer: B
In a Lake, there is a patch of lily pads. Every day, the patch doubles in size. It takes 50 days for the patch to cover the entire lake, how many days would it take the patch to cover half of the lake?	Choose the correct choice from the following
A) 36 B) 2^4*3 C) 24 D) 49 E) 47

Solution: Working backward from the day it's covered:   day 50: fully covered   day 49: half covered   So 49 days   ANSWER:49
Answer: D
The average of 50 numbers id 56. If two numbers, namely 45 and 55 are discarded, the average of the remaining numbers is :
Pick one:
A) 22.35  B) 33.25  C) 22.25  D) 51.35  E) 56.25

Solution: 56.25xplanation:   Total of 50 numbers = (50×56)=2800   Total of 48 numbers =(2800-(45+55)]=2700   Required average = 2700/48= 
2700/48 = 225/4 = around 56.25
56.25   Answer:56.25
Answer: E
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?  Choose one
A) 25  B) 38  C) 64  D) 68  E) 70

Solution: Ans.(C)   Sol. In this case, repetitions are allowed, so all the three prizes can be given in 4 ways, i.e. (4 x 4 x 4) ways = 43 ways = 64 ways Or nr ways = 43 ways = 64 ways
Answer: C
A train passes a station platform in 42 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?	Select:
A) 276 m
B) 279 m
C) 240 m
D) 207 m
E) 330 m

Solution: Speed = [54 * 5/18] m/sec   = 15 m/sec.   Length of the train = (15 * 20)= 
(15 * 20) = 300
300 m.   Let the length of the platform be x meters.   Then, x + 300 / 42= 15   x + 300 = 630   x =330 m.   Answer: 330 m
Answer: E
a man walks at 40kmph and reaches the distance in 10 min less than that of usual . by walking at 60 kmph he reaches 10 minutes earlier. the distance covered by him is.? Choose the correct choice from the following choices
A) 10km	B) 20km	C) 30km	D) 40km	E) 50km

Solution: let x be distance in km ,let t be usual time   given 40km/hr=40/60km/min=2/3km/min 10 min less t+10   given 60km/hr=60/60km/min=1km/min 10 min early t-10   since speed=distance/time   2/3=x/t+10.......eq1   1=x/t-10.....eq2   divide eq 1&2   2/3 = t-10/t+10 => t=50min   x=50-10= 
50-10 = 40
40km   ANSWER:40km
Answer: D
A dice has one of the first 5 prime number on each its six sides ,with no two sides having the same number .the dice is rolled 8 times and the results added.the addition is most likely to be closet to	Choose the correct choice from the following answers: A) 45 B) 48 C) 60 D) 68 E) 70

Solution: if die is rolled then avg score = (2+3+5+7+11 )/5= 28/5   so, most likely sum for 6 times = 28/5 * 8 = 45   45NSWER:45
Answer: A
What is the greatest positive integer Q such that 3^Q is a factor of 9^10? Choose the correct choice from the following:  A) Q=5  B) Q=9  C) Q=10  D) Q=20  E) 30

Solution: What is the greatest positive integer Q such that 3^Q is a factor of 9^10?   9^10 = (3^2)^10 = 3^20   D. 20
Answer: D
The charge for a single room at Hotel P is 50 percent less than the charge for a single room at Hotel R and 20 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G? Choose the most appropriate option:  A) 50%  B) 60%  C) 75%  D) 80%  E) 90%

Solution: P = 0.5R = 0.8G   R = 0.8G/0.5 = 1.6*G   Thus R is 60% greater than G.   The answer is 60%.0.8 /0.5= 
0.8 /0.5 = 1.6
1.6*G   Thus R is 60% greater than G.   The answer is 60%.
Answer: B
There are three guys who have equal number of bullets. All of them shoot 10 bullets. The remaining bullets are equal to the total number of bullets remaining is equal to the bullets each had after division. What was the original number of bullets each one had? Choose the correct choice from the following options
A) 18 B) 19 C) 25 D) 35 E) 45

Solution: let initially each was having x bullets   they shot 10 bullets   so 3x-30=x   x=15   so each was having 15 bullets.   total was 45.   ANSW45R:45
Answer: E
A crate measures 6 feet by 8 feet by 12 feet on the inside. A stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides. What is the radius, in feet, of the pillar with the largest volume that could still fit in the crate? Choose the correct choice:  A) 2  B) 4  C) 6  D) 8  E) 12

Solution: We can find the radius of all the three cases of cylinders.   The only crux to find the answer faster is that:   Voulme is pi*r^2*h. The volume is a function of r^2. so r has to be the highest to find the largest volume.   So r=6 for the surface 8*12 face.   Volume = 216pi   Answer 6
Answer: C
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Answers.
A) 288
B) 2609
C) 245
D) 298
E) 221

Solution: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 => 2(130 + x) = 750 => x = 245 m.Answer:245
Answer: C
A boat having a length 9 m and breadth 3 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:  Pick one:  A) 100 kg  B) 120 kg  C) 189 Kg  D) 180 Kg  E) 270 Kg

Solution: Volume of water displaced	= (9 x 3 x 0.01) m3   = 0.27 m3.   Mass of man = Volume of water displaced x Density of water   = (0.27 x 1000) kg   = 270 kg.   Answer: 270 Kg
Answer: E
The ratio of two angles of a triangle is 5:4, and the sum of the angles equals the third angle. Find the smallest angle, in degrees.	Select the correct option: A) 40 B) 45 C) 50 D) 55 E) 10

Solution: The three angles are 5x, 4x, and (5x+4x)=9x for some value x, due to the ratio. [note that 4x is the smallest angle]   The three angles of a triangle add up to 180, so   5x+4x+9x   (5 +4 )= 
  (5 +4 ) = 9
9x for some value x, due to the ratio. [note that 4x is the smallest angle]   The three angles of a triangle add up to 180, so   5x+4x+9x= 180   18x = 180   x = 10   the smallest angle is 4x, so  4*10= 
 4*10 = 40
40 degrees   40
Answer: A
Which of the following lines has x-intercept and y-intercept that are integers E?
Choose the most appropriate option.
A) y=3x+1	B) y=√x+1	C) y=-2/x	D) y=x^2-1	E) xy=1

Solution: Values that satisfy y=x^2-1 are (x,y)=(-1,0),(1,0),(0,-1). Hence, they are all integers E and the correct answer is y=x^2-1.
Answer: D
What is the HCF of 2/3, 4/10 and 6/5	Options.
A) 7/45  B) 1/15  C) 4/15  D) 8/45  E) 9/45

Solution: Explanation:   HCF of Fractions = HCF of Numerators/LCM of Denominators   = (HCF of 2, 4, 6)/(LCM of 3, 10, 5) = 2/30 = 1/15   Answer: Option 1/15
Answer: B
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:	Choices
A) 520 kmph
B) 300 kmph
C) 400 kmph
D) 720 km/hr
E) 780 km/hr

Solution: Distance = (240 x 5) = 1200 km.   Speed = Distance/Time   Speed = 1200/(5/3) km/hr. 1 2/3 hours =5/3 hours   Required Speed = 1200x3/5 km/hr =720 km/hr   answer :720 km/hr
Answer: D
If you roll one fair six-sided die, what is the probability that the number is even or less than 3?	Choose the correct choice from the following choices:
A) 2/3
B) 1/2
C) 3/4
D) 5/6
E) 1/3

Solution: The numbers which satisfy the conditions are 1, 2, 4, and 6.   The probability is 4/6=2/3   The answer is 2/3.
Answer: A
How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly? Choose one:
A) 482	B) 66	C) 26	D) 99	E) 222

Solution: 20000(11/10)4 - 20000(6/5)2 = 482.482nswer:482
Answer: A
Two pipes A and B can separately fill a tank in 12 and 20 minutes respectively. A third pipe C can drain off 45 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank?
Choose the correct choice from the following options.
A) 542	B) 540	C) 675	D) 829	E) 279

Solution: 1/12 + 1/20 - 1/x = 1/15   x = 15   15 * 45= 
15 * 45 = 675
675   Answer: 675
Answer: C
A’s speed is 20/19 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that the race ends in a dead heat?	Pick one.
A) 1/19	B) 3/19	C) 1/10	D) 1/20	E) 3/10

Solution: Let D be the full distance.   Let x be the fraction of the distance that B runs.   Let v be the speed at which B runs.   The time should be the same for both runners.   Time = D / (20v/19) = xD/v   (19/20)*D/v = x*D/v   x = 19/20   B should have a head start of 1/20 of the full distance.   The answer is 1/20.
Answer: D
The ratio of the area of a square mirror to its frame is 16 to 33. If the frame has a uniform width (d) around the mirror, which of the following could be the value, in inches, of d ?
I. 2
II. 3 1/2
III. 5 Choose the correct choice from the following choices:
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 d value to be a multiple of 1.5 = multiple of 3/2 and since d is not constrained to be only integer all the three choices are possible   For i) the multiple of d is 4/3   For ii) the multiple of d is 7/3   For iii) the multiple of d is 10/3   The key is d can be any real positive number... very tricky problem.. took me > 15 minutes.   Answer is I, II, and III
Answer: E
The sum of the even numbers between 1 and n is 105*106, where n is an odd number, then n=?	Choose the correct choice from the following.
A) 187
B) 193
C) 199
D) 205
E) 211

Solution: Let n-1 = 2a.   2+4+...+2a = 2*(1+2+...+a) = 2*(a)(a+1)/2 = (a)(a+1) = 105*106   Then a = 105 and n = 211.   The answer is 211.
Answer: E
There are 20 poles with a constant distance between each pole. A car takes 21 second to reach the 12th pole. How much will it take to reach the last pole.	Choose the correct answer:
A) 36.4543  B) 36.2727  C) 31.45128  D) 36.41288  E) 31.41222

Solution: Assuming the car starts at the first pole.   To reach the 12th pole, the car need to travel 11 poles (the first pole doesn't count, as the car is already there).   11 poles 21 seconds   1 pole (21/11) seconds   To reach the last (20th) pole, the car needs to travel 19 poles.   19 pole 19 x (21/11) seconds   = 36.2727 seconds   Answer:36.2727
Answer: B
A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 160. The dividend from the stock is :  Options.
A) 7.5 %	B) 8 %	C) 10 %	D) None of these	E) Cannot be determined

Solution: Solution   By investing Rs. 1552,income = Rs. 128.   By investing Rs. 97, income = Rs. (160/1552x97)= Rs.10   âˆ´ Dividend =10%.   Answer 10 %
Answer: C
If x is equal to the sum of the integers from 10 to 20, inclusive, and y is the number of EVEN integers from 10 to 20, inclusive, what is the value of x+y ?  Choose the correct choice from the following answers:
A) 171
B) 175
C) 180
D) 190
E) 200

Solution: sum s= n/2{2a+(n-1)d} = 11/2{2*10+ (11-1)*1} =11*15= 
11*15 = 165
165=X   number of even number =( 20-10)/2 +1= 
( 20-10)/2 +1 = 6
6= Y   X+Y = 165+6= 
165+6 = 171
171   171
Answer: A
The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost? Choose the correct choice from the following answers: A) 299 B) 267 C) 999 D) 277 E) 266

Solution: a2 = 3136 => a = 56   56 * 4 * 3= 
56 * 4 * 3 = 672
672 – 6= 666 * 1.5= 
666 * 1.5 = 999
999   Answer:999
Answer: C
Pointing to a man in a photograph. Asha said. "His mother's only daughter is my mother." How is Asha related to that man ?  Pick one
A) Sister B) Nephew C) Wife D) Niece E) FDD

Solution: Explanation:   Asha's mother's mother is man's mother i.e.. A.sha's mother is man's sister or Asita is man's niece.   Answer: Niece) Niece
Answer: D
What is the greatest of 3 consecutive integers whose sum is 33?
Choose the correct choice from the following choices:
A) 10 B) 11 C) 12 D) 13 E) 14

Solution: 33 / 3= 
33 / 3 = 11
11   The three numbers are 10, 11, and 12.   The answer is 12.
Answer: C
2,3,4,5,7,11 which number is wrong in series  Pick:
A) 3 B) 4 C) 2 D) 5 E) 7

Solution: 4...........   all are prime numbers expect 4   ANSWER:4
Answer: B
When the integer k is divided by 7, the remainder is 2. Which of the following expressions below when divided by 7, will have a remainder of 5?
I. 4k + 4
II. 6k + 7
III. 8k + 2  Select:
A) I only	B) II only	C) III only	D) I and II only	E) I, II and III

Solution: k = 7j + 2   4k + 4 = 28j + 8 + 4 = 28j + 7 + 5   6k + 7 = 42j + 12 + 7 = 42j + 14 + 5   8k + 2 = 56j + 16 + 2 = 56j + 14 + 4   The answer is I and II only.
Answer: D
Bradley owns b video game cartridges. If Bradley’s total is one-third the total owned by Andrew and three times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?  Choose the correct choice from the following options
A) (16/3)b
B) (17/4)b
C) (13/3)b
D) (19/12)b
E) (7/12)b

Solution: Step 1: Categorize the problem   This problem is testing basic algebra and equations, with an extra layer of complexity by having variables in the answer choices.   Step 2: Think like the test maker   What is the key detail or key details in the problem? The key detail to immediately recognize is that the problem gives you Andrew and Charlie’s totals in relation to Bradley’s total rather than giving you Bradley’s total in relation to the other two; and then the problem asks you to solve the problem in terms of b. This means that you have to relate Andrew and Charlie’s values in relation to Bradley’s total. The test maker is attempting to force you to structure the problem in the opposite way that most people are used to structuring information. By gaining this insight, it makes it easier to solve the problem.   Step 3: Solve the problem   b = Bradley’s total   3b = Andrew’s total   (1/3)b = (13/3)bharlie’s total   Add each total   b + 3b+ (1/3)b = 4b + (1/3)b = (16/4)b + (1/3)b = (13/3)b   Therefore,choose (13/3)b.
Answer: C
If 15% of 40 is greater than 25% of a number by 2, then the number is?
Pick:
A) 12	B) 8	C) 15	D) 20	E) 16

Solution: Let the number be x   50% of 40 - 25% of x = 2   25/100 x = (15/100 * 40)-2   x/4 = 4   x = 16   Answer is 16
Answer: E
Five pieces of wood have an average length of 140cm and a median length of 140cm. What is the maximum possible length, in cm, of the shortest piece of wood?  Pick
A) a) 90
B) b) 100
C) c) 110
D) d) 130
E) e) 140

Solution: E. 140   sum of all lengths of all 5 pieces of wood = 140 * 5= 
140 * 5 = 700
700   3rd piece (sorted in increasing length) length= 140 (median)   for sum of first 2 wood length to become max, last two should be least.   let 4th, 5th wood also have length 140 each.   total of last 3 = 140 * 3= 
140 * 3 = 420
420   sum of first 2= 700 - 420= 
700 - 420 = 280
280   each of these 2 will have length 280/2= 
280/2 = 140
140   ANswer e) 140
Answer: E
In Cliff’s impressive rock collection, there are half as many igneous rocks as sedimentary rocks. Of the igneous rocks, 1/3 are shiny and the rest are matte, while 1/5 of the sedimentary rocks are shiny. If there are 30 shiny igneous rocks, how many total rocks does Cliff have?
Choose the correct choice from the following choices
A) 30 B) 45 C) 270 D) 90 E) 135

Solution: We can start with the known quantity and then go on to find the others.   Shiny igneous ricks are 30. These are (1/3) of total igneous rocks.   (1/3)*Total igneous rocks = 30   Total igneous rocks = 30 * (3)= 
30 * (3) = 90
90   Total sedimentary rocks= 2*Total igneous rocks = 2*90= 
2*90 = 180
180   Total number of rocks= 90 + 180= 
90 + 180 = 270
270   Answer (270)
Answer: C
There are 100 employees in a room. 99% are managers. How many managers must leave the room to bring down the percentage of manager to 98%?
Choose the correct choice from the following options:
A) 1 B) 2 C) 50 D) 49 E) 97

Solution: We have 99 managers and 1 director. That 1 director to compose 2% of the total number of people, there must be 50 people in the room, hence 50 managers must leave.   Answer: 50.
Answer: C
In a group of 25 factory workers, 13 have brown eyes. Six of the women do not have brown eyes. How many of the 11 men have brown eyes. Choose the correct choice from the following answers:
A) 10 B) 9 C) 8 D) 7 E) 5

Solution: Total number of worker (M+W): 25   No. of men (M): 11 (Inferred fromHow many of the 11 men)   No. of women (W): 14   Total no. of workers who have brown eyes (B): 13   No. of women who do not have brown eyes: 6   Therefore, no. of women who have brown eyes: W - 6 = 14 - 6= 
14 - 6 = 8
8   Remaining 5 are men. (B - 8= 13 - 8= 
13 - 8 = 5
5)   So 5 out of 11 men have brown eyes.   5
Answer: E
Exactly 35% of the reporters for a certain wire service cover local politics in Country X. If 30% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics?	Pick
A) 20%	B) 42%	C) 44%	D) 50%	E) 84%

Solution: You are correct. People who cover local politics are a subset of people who cover politics.   30% of reporters who cover politics do not cover local politics so 70% DO cover local politics.   Reporters covering local politics= 70% of reporters covering politics= 35% ofall reporters   Reporters covering politics/All Reporters = 35/70 = 1/2   Reporters not covering politics/All Reporters = 1/2 = 50%=50%
Answer: D
What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?	Answers:	A) 5%	B) 7%	C) 8%	D) 2%	E) 1%

Solution: 160 = (180*4*R)/100   R = 5%   5%nswer: 5%
Answer: A
A boat can travel with a speed of 42 km/hr in still water. If the speed of the stream is 10 km/hr, find the time taken by the boat to go 64 km downstream
Choose one.
A) 1 hour 15 min  B) 2 hour 40 min  C) 1 hour 20 min  D) 1 hour 30 min  E) 1 hour 50 min

Solution: Speed of the boat in still water = 42 km/hr   speed of the stream = 10 km/hr   Speed downstream = (42+10)= 
(42+10) = 52
52 km/hr   Distance travelled downstream= 64 km   Time taken =distance/speed   =64/52   = 1.23 hours   = 1 hour 15 min.   1 hour 15 minNSWER:1 hour 15 min
Answer: A
A man buys s cycle for $100 and sells it at a loss of 30%. What is the selling price of the cycle?  Answers:
A) $50	B) $60	C) $70	D) $80	E) $90

Solution: S.P. = 70% of the $100 = 70/100 * 100= 
70/100 * 100 = 70
$70   Answer is $70
Answer: C
If a, b are integers and |a-b|=4, which of the following is the smallest possible value of ab?  Choose the correct option.
A) -4  B) 0  C) 16  D) 7  E) 40

Solution: a=2, b=-2. Hence, the answer is -4.
Answer: A
A small beaker is 1/2 filled with salt water. Another beaker, which has five times the capacity of the small beaker, is 1/5 filled with fresh water. After dumping all of the salt water from the small beaker into the large beaker, to what fraction of its capacity will the large beaker be filled? Select
A) 2/3 B) 2/5 C) 3/5 D) 3/10 E) 7/20

Solution: 1/2 of the small beaker is 1/10 of the large beaker.   1/10 + 1/5 = 3/10   The answer is 3/10.
Answer: D
The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 17. What is the last numbers? Pick one:
A) 2  B) 4  C) 6  D) 5  E) 7

Solution: A + B + C = 48   B + C + D = 45   A + D = 17   A – D = 3   A + D = 17   2D = 14   D = 7   ANS7R 7
Answer: E