MU-NLPC/Calc-aqua_rat huggingface dataset:
a, b, and c are integers and a<b<c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive. The median of set S is (3/4)*b. The median of set Q is (4/8)*c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R?	Choose the correct choice from the following options
A) 2/5	B) 1/2	C) 11/16	D) 5/7	E) 3/4

Solution: The answer isC: 11/16.   The key to this problem is remembering that the median for a consecutive set of numbers is equivalent to its mean. For example, the mean and median of a set consisting of x, x+1, x+2, ... ,y will always be (x+y)/2.   For set S, consisting of numbers (a, a+1,...,b), the median is given to be 3/4*b:   (a+b)/2 = (3/4)*b   a = b/2   For set Q, consisting of numbers (b, b+1,...,c), the median is given to be 4/8*c:   (b+c)/2 = (4/8)*c   b = 0   For set R, consisting of numbers (a, a+1,...c), the median needs to be found:   a = b/2 = (0)/2= 
(0)/2 = 0
0   Median= (a + c)/2 = (0 + c)/2 = c/2 = (1/2)*c (ANSWER 1/2)
Answer: B
The average height of 50 pupils in a class is250 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is __________ .  Choose the correct choice from the following choices:
A) 151 cm
B) 351 cm
C) 241 cm
D) 251 cm
E) 261 cm

Solution: Total height = 250 * 50= 
250 * 50 = 12_500
12500 cm.   New average= [12500 - 5 * 146 + 5 * 156 ] / 50 =251 cm.   ANSWER:251 cm
Answer: D
A certain sum of money doubles itself in 10 years in how much many years will it trible itself at the same rate?
Choose the correct answer
A) 20 years  B) 17 years  C) 97 years  D) 27 years  E) 29 years

Solution: 100 ---- 100 --- 10   100 --- 10   --------------------   300 ---- 20 years   20 yearsnswer: 20 years
Answer: A
The average temperature of the town in the first four days of a month was 58 degrees. The average for the second, third, fourth and fifth days was 60 degrees. If the temperatures of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day ?
Choose the correct answer: A) 84 degrees B) 64 degrees C) 54 degrees D) 44 degrees E) 24 degrees

Solution: Explanation:   Sum of temperatures on 1st, 2nd, 3rd and 4th days = (58 * 4)= 
(58 * 4) = 232
232 degrees ... (1)   Sum of temperatures on 2nd, 3rd, 4th and 5th days - (60 * 4)= 240 degrees ....(2)   Subtracting (1) From (2), we get :   Temp, on 5th day - Temp on 1st day = 8 degrees.   Let the temperatures on 1st and 5th days be 7x and 8x degrees respectively.   Then, 8x - 7x = 8 or x = 8.   Temperature on the 5th day = 8x = 64 degrees.   Answer: 64 degrees
Answer: B
In how many years will a sum of money double itself at 10% per annum?
Answers:
A) 2 years 4 months  B) 4 years 2 months  C) 8 years 4 months  D) 10 years 8 months  E) None

Solution: Sol.   Let sum = x. Then, S.I. = x   ∴ Time = [100 * S.I. / P*R] = [100 * x / x * 12] years   = 8 1/3 years = 8 years 4 months.   Answer 8 years 4 months
Answer: C
A certain car averages 35 miles per gallon when driving in the city and 40 miles per gallon when driving on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and then 50 miles on the highway? Choose the correct option:
A) 28
B) 30
C) 33
D) 39
E) 38

Solution: Answer 39   No of Miles per Gallon = Total no of miles/Total no of Gallons   =10+50/(10/35+50/40) ~ 39.06
Answer: D
Two trains 140 m and 190 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is? Options
A) 10.9 sec
B) 10.1 sec
C) 10.6 sec
D) 11.88 sec
E) 10.2 sec

Solution: Relative speed = 60 + 40= 
60 + 40 = 100
100 km/hr.= 100 * 5/18 = 250/9 m/sec.   Distance covered in crossing each other   = 140 + 190= 
140 + 190 = 330
330 m.   Required time= 330 * 9/250= 
330 * 9/250 = 297/25 = around 11.88
11.88 sec.   Answer:11.88 sec
Answer: D
A 12% stock yielding 10% is quoted at: Choose the correct option.
A) 223 B) 2778 C) 277 D) 120 E) 288

Solution: Explanation:   To earn Rs. 10, money invested = Rs. 100.   To earn Rs. 12, money invested = = Rs. 120.   Market value of Rs. 100 stock = Rs. 120.   Answer: 120) 120
Answer: D
What is the probability of getting a sum of 8 or 14 when rolling 3 dice simultaneously?	Choose the correct choice from the following options:	A) 1/6	B) 1/4	C) 1/2	D) 21/216	E) 32/216

Solution: The other way would be to list out each option.   The options for a sum of 8: (6,1,1) has 3 options ie (6,1,1), (1,6,1), (1,1,6); (5,2,1) has 6 options, (4,3,1) has 6 options, (4,2,2) has 3 options, (3,3,2) has 3 options. We have 21 options to get 8.   The options for a sum of 14: (6,4,4) has 3 options, (6,5,3) has 6 options, (6,6,2) has 3 options, (5,5,4) has 3 options. We have 15 options to get 14.   Total:  21+15= 
 21+15 = 36
36/216= 1/6.   1/6nswer 1/6.
Answer: A
When a merchant imported a certain item, she paid a 7 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that the merchant paid was $109.90, what was the total value of the item?
Choose the correct answer
A) $1940 B) $2150 C) $2360 D) $2570 E) $2780

Solution: Let x be the value of the item.   0.07*(x-1000) = 109.90   x = 2570   The answer is $2570.
Answer: D
From a group of 17 astronauts that includes 8 people with previous experience in space flight, a 3-person crew is to be selected so that exactly 1 person in the crew has previous experience in space flight. How many different crews of this type are possible?	Choose the correct choice:
A) 248  B) 258  C) 268  D) 278  E) 288

Solution: number of astronauts with previous experience = 8   Remaining =9   we need to pick exactly one from the first group   and 2 from the second group   (8C1)*(9C2)   =8*36= 
8*36 = 288
288   Answer : 288
Answer: E
At a local supermarket, a box of cereal usually costs 5 dollars. This week, the supermarket sells the box of cereal for 3 dollars. How much money will you save if you buy this cereal at this supermarket? Pick one:
A) 5 dollars
B) 3 dollars
C) 4 dollars
D) 2 dollars
E) 1 dollar

Solution: Solution:   In this situation, there is a decrease in the price.   Saving = 5 - 3= 
5 - 3 = 2
2 dollars   Option 2 dollars
Answer: D
A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 39000, then the share of B is? Choose the correct option:
A) 18000
B) 24000
C) 24005
D) 24009
E) 24002

Solution: Ratio of investments of A and B is (70000 * 12) : (120000 * 6) = 7 : 6   Total profit = Rs. 39000   Share of B = 6/13 (39000) = Rs. 18000   18000nswer: 18000
Answer: A
Kim is taking a math class, and the teacher gives a multiple choice test consisting of 7 questions. If each question has 5 answer choices, and Kim answers every question, in how many different ways can she complete the test? Choices.
A) a 40 B) b 400 C) c 5^8 D) d 8^5 E) e 5^7

Solution: different ways to solve each question is 5.   So, 5*5*5*5.. 7 times ----> 5^7   Answer will be e 5^7
Answer: E
David walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 2 hours . He would have gained 1 hour by driving both ways. How long would it have taken for him to walk both ways.
Pick:  A) 3 h  B) 3 h 15 min  C) 4 h  D) 5 h  E) 6 h

Solution: 1.Walking to to a viewpoint+Driving back=2 hours   2.Driving to a viewpoint+Driving back=2 hours - 1 hour=1 hour,   thereforeone way driving=1 hour/2 = 30 minutes.   3. From 1.one way driving=2 hours-30 minutes=1 hour 30 minutes.   4.Walking to to a viewpoint+Walking back=1 hours 30 minutes+1 hours 30 minutes=3 hours   3 hnswer: 3 h
Answer: A
8.5 × 6.4 + 4.5 × 11.6 = ? ÷ 4
Choose one.
A) 426.2
B) 426.4
C) 106.6
D) 422.4
E) 522.5

Solution: Explanation:   (54.4+52.2) × 4 = 426.4   Answer: Option 426.4
Answer: B
In the xy-plane, line w passes through point (3,-2) and intersect perpendicularly with line n that passes through points (0,3) and (3,5). What is the equation of line w? Choose the correct choice from the following choices.
A) 3x+2y-5=0
B) 3x+2y+5=0
C) 2x-3y-12=0
D) 2x+3y=0
E) 4x+3y-6=0

Solution: If two lines intersect perpendicularly, we get -1 when we multiply two slopes together. The slope of a line n is (5-3)/(3-0)=2/3. Hence, the slope of a line w should be -3/2. Since it crosses (3,-2), if we calculate we get 3x+2y=5. Hence, the correct answer is 3x+2y-53 +2= 
3 +2 = 5
5. Hence, the correct answer is 3x+2y-5=0.  3 +2 -5= 
  3 +2 -5 = 0
0.
Answer: A
A drawer holds 5 red hats and 5 blue hats. What is the probability of getting exactly three red hats or exactly three blue hats when taking out 4 hats randomly out of the drawer and returning each hat before taking out the next one?  Pick one:
A) 1/8
B) 1/4
C) 1/2
D) 3/8
E) 7/12

Solution: Let's find the probability of getting exactly 3 red hats.   One possible case is red-red-red-blue.   The probability of this is 1/2*1/2*1/2*1/2 = 1/16   There are 4C3 = 4 such cases so we need to multiply this by 4.   P(exactly 3 red hats) = 4*1/16 = 1/4   Clearly the probability of getting exactly 3 blue hats will also be 1/4.   The sum of the probabilities is 1/4+1/4 = 1/2   The answer is 1/2.
Answer: C
Kelvin earns $60 a week from his job. His income increased and now makes $70 a week. What is the percent increase?
Choose the correct choice from the following answers
A) 16.66%  B) 18%  C) 18.2%  D) 19.3%  E) 20%

Solution: Increase = (10/60)*100 = (1/6)*100 = 16.66%.   16.66%
Answer: A
A bank offers 3% compound interest calculated on quarter-yearly basis. A customer deposits $ 15000 each in 1st month. At the end of the year, the amount he would have gained by way of interest is?  Pick
A) 200	B) 150	C) 455	D) 300	E) 600

Solution: Amount = (15000)* (1 + (3/4*100))^4   Amount = 15000 * (1+ 0.0075)^4 = 15455 ------(for investment in 1st month)   Interest = 15455-15000 = 455..............   Ans -455
Answer: C
Seven years ago the average age of a family of 2 members was 21 years. A child has been born. due to Which the average age of the family is 23 years today. What is the present age of the child?
Choose the correct choice from the following options:
A) 10years  B) 13years  C) 15years  D) 17years  E) 20years

Solution: Explanation:   Average of the family of two numbers   7 years ago = 21   = (21+ 7) * 2= 
(21+ 7) * 2 = 56
56 years   Average age of the family of three members at present= 23 years   = 23 * 3= 
23 * 3 = 69
69 YEARS   Age of child= 69 - 56= 
69 - 56 = 13
13 years   Answer: Option 13years
Answer: B
By selling 100 pencil, a trader gains the cost of 33 Pencil. Find his gain percentage?
Choose the correct choice from the following answers:
A) 26 1/3% B) 51 1/3% C) 33 % D) 53 1/3% E) 34 1/3%

Solution: C   33 %   Let the CP of each pencil be Rs. 1.   CP of 100 pens = Rs. 100   Profit = Cost of 33 pencil = Rs. 33   Profit% = 33/100 * 100= 
33/100 * 100 = 33
33 %
Answer: C
If a quarter kg of onions costs 40 paise, how many paise will 100 gm cost?  Answers:
A) 32 paise  B) 65 paise  C) 56 paise  D) 87 paise  E) 16 paise

Solution: Explanation:   Let the required cost be x paise.   Less weight, Less cost (Direct proportion)   250 : 100 : : 40 : x   250 * x = (100 * 40)   x = (100 * 40) / 250= 
(100 * 40) / 250 = 16
16   ANSW16 paiseR: 16 paise
Answer: E
A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Pick: A) 4 min B) 5 min C) 6 min D) 8 min E) 10 min

Solution: S = 600/40= 
600/40 = 15
15 mps   S= 3600/15= 
3600/15 = 240
240 sec= 4 min   4 minNSWER 4 min
Answer: A
In a simultaneous throw of a pair of dice, find the probability of getting a total more than 10
Choose one.
A) 5/13 B) 2/15 C) 1/12 D) 3/17 E) 6/19

Solution: Total number of cases = 6*6= 
6*6 = 36
36   Favourable cases= [(5,6)(6,5),(6,6)] = 3   So Probability = 3/36 = 1/12   Answer is 1/12
Answer: C
The speeds of three motor bikes are in the ratio 24 : 4 : 6. The ratio between the time taken by them to travel the same distance is :	Options:  A) 1 : 4 : 4  B) 1 : 6 : 3  C) 1 : 6 : 5  D) 1 : 6 : 4  E) 1 : 5 : 4

Solution: Ratio of time taken :   1/24 :1/4 : 1/6 = 1 : 6 : 4   ANSWER:1 : 6 : 4
Answer: D
Set Q consists of the following five numbers: Q = {5, 8, 13, 21, 34, 42}. Which of the following sets has the same standard deviation as Set Q?
I. {35, 38, 43, 51, 64}
II. {10, 16, 26, 42, 68}
III. {46, 59, 67, 72, 75} Choose one:	A) I only	B) III	C) IIII	D) IIIII	E) I, II,III

Solution: (1)	Multiplying all the numbers change Standard Deviation   (2)	Adding and subtracting all the numbers with the same number keeps the standard deviation same.   If you observe Set I and III are added versions of Set Q .   Set I: 5 has been added to the Set Q   Set III: Subtract each element from 80 and you would find a number there in the Set Q.   Set II: elements are multiplied by 2 and standard deviation changes.   Hence the answer is I, II,III.
Answer: E
Jamboree and GMAT Club Contest Starts
QUESTION #10:
How many words (with or without meaning)Q can be formed using all the letters of the word “SELFIE” so that the two E’s are not together?
Pick
A) 660 B) 600 C) 500 D) 300 E) 240

Solution: In general, repetitions are taken care of by dividing the permutation by the factorial of the number of objects that are identical. in this case,Q if you think logically, A,B,C,D options are not divisible by 6!. 6 is total number of letters in the word SELFIE. Only option E is divisible by 6!. So correct answer is 240 that is 240
Answer: E
The perimeters of two squares are 48 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares?	Select
A) 76 cm B) 35.6 cm C) 88 cm D) 55 cm E) 34 cm

Solution: We know perimeter of square = 4(side)   So Side of first square = 48/4= 
48/4 = 12
12 cm   Side of second square= 32/4= 
32/4 = 8
8 cm   Area of third Square= 12*12 - 8*8= 
12*12 - 8*8 = 80
80 cm   So side of third square= 8.9 [because area of square = side*side]   Perimeter = 4*Side = 4*8.9= 
4*8.9 = 35.6
35.6 cm   Answer:35.6 cm
Answer: B
All but one of the following statements are definitely true, identify the false statement, given that V is the brother of W and X. Y is V's son and Z is W's son?	Choose the correct choice from the following.
A) V is Z's uncle
B) W is Y's uncle
C) X is Y's uncle
D) X is Y's brother
E) Y is Z's nephew

Solution: Explanation:   All the statements are true except D (X is Y's brother), Y is V's son that makes X his uncle, not brother.   Answer: X is Y's brother)
Answer: D
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?	Choose the correct option:
A) 22
B) 89
C) 277
D) 278
E) 291

Solution: Speed = 240/24= 
240/24 = 10
10 m/sec.   Required time= (240 + 650)/10= 
(240 + 650)/10 = 89
89 sec.   Answer: 89
Answer: B
The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:	Choices.
A) 10 d
B) 0 d
C) 15 d
D) 5 d
E) 20 d

Solution: 10 dngle traced hr 13/3 = (360/12 * 13/3)= 
(360/12 * 13/3) = 130
130   traced by min hand 20 min= (360/60*20)= 
(360/60*20) = 120
120   req= (130-120)= 
(130-120) = 10
10 d   10 dNSWER 10 d
Answer: A
An auto assembly plant performs six functions with each frame that arrives: add axles, add wheels to the axles, install the windshield to the frame, install the instrument panel, install the steering wheel, and install the interior seating. Once those six tasks are performed, each car goes to a separate building for finishing touches. If these tasks can be arranged along a linear assembly line in any order, except that the axles must be installed before the wheels can be added, how many E ways can the assembly line be arranged? Choose one.
A) 120
B) 240
C) 360
D) 480
E) 720

Solution: C) 360   short way: there are 6C! ways to do the six tasks. Half will have wheels before axles and half will have axles before wheels. So we want E=6360!/2 -> 720/2 = 360
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
Choose the correct choice from the following answers.
A) 200 m	B) 225 m	C) 245 m	D) 250 m	E) None

Solution: Sol.   Speed = [45x5/18] 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 m
Answer: C
If d > x > y > z on the number line, y is halfway between x and z, and x is halfway between w and z, then (y - x)/(y - d) =	Choose the correct choice from the following answers.
A) 1/4
B) 1/3
C) 1/2
D) 3/4
E) 1

Solution: Let y-z=t ---> since y is halfway between x and z and x>y we have x-y=t. Moreover x-z=(x-y)+(y-z)=2t. Similarly since x is halfway between w and z, we have d-x=2t. So y-x=-t, y-d=-3t. ---> (y - x)/(y - d) = 1/3.   The answer is (1/3).
Answer: B
If 16% of 40% of a number is 7, then the number is
Answers: A) 200 B) 225 C) 109.375 D) 320 E) None of these

Solution: Explanation:   Let 16/100×40/100×a=7   a = 7×100×100/16×40=109.375   109.375orrect Option: 109.375
Answer: C
In how many ways can a group of 3 men and 3 women be made out of a total of 7 men and 4 women?	Options.
A) 163	B) 167	C) 130	D) 174	E) 180

Solution: We need to select 3 men from 7 men and 3 women from 4 women. Number of ways to do this= 71303 × 41303130130)
Answer: C
Integers 3n+2 and 8n+6 are divisible by an integer p. If p is not equal to 1, then p equals to?  Choose the correct choice from the following options:
A) 2
B) 3
C) 5
D) 7
E) 11

Solution: If p divides 3n+2, then p divides 24n+16.   If p divides 8n+6, then p divides 24n+18.   Then p must equal 2.   The answer is 2.
Answer: A
one man can do a piece of work in 10days. one boys join him & he complete the work in 6days . if he gets 50rs for his work then what will be the share of the boy.	Choose the correct choice from the following choices:
A) 10	B) 20	C) 30	D) 40	E) 50

Solution: 1 day work of Man=1/10, If Boy's 1 day work=1/x, then   (1/10)+(1/x)=1/6, x=15   Ratio of work of Man & Boy=1/10:1/15=3:2   So out of 50 Rs. 20oy's share=2*50/(3+2)= 
2*50/(3+2) = 20
20   ANSWER:20
Answer: B
The perimeter of a triangle is 44 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?	Answers
A) 87 cm2	B) 28 cm2	C) 98 cm2	D) 26 cm2	E) 55 cm2

Solution: Area of a triangle = r * s   Where r is the inradius and s is the semi perimeter of the triangle.   Area of triangle   = 2.5 * 44/2= 
2.5 * 44/2 = 55
55 cm2   Answer:55 cm2
Answer: E
A man can hit a target once in 8 shots. If he fires 4 shots in succession, how many ways that he will hit his target?  Choose the most appropriate option
A) 71/23	B) 81/13	C) 81/29	D) 17/29	E) 91/32

Solution: The man will hit the target if he hits it once or twice or thrice or all four times in the four shots that he takes.   So, the only possibility when the man will not hit the target is when he fails to hit the target in even one of the four shots that he takes.   The event of not hitting the target even once is the complement of the event of hitting the target at least once.   The probability that he will not hit the target in any given shot = 1 - 1/8= 7/8   Therefore, the probability that he will not hit the target in any of the four shots = 7/8 ^4 = 17/29   17/29
Answer: D
How many zeroes are there at the end of the number N, if N = 150! + 300! ?  Choose the correct choice from the following choices.
A) 28
B) 31
C) 34
D) 37
E) 40

Solution: The number of zeroes at the end of 150! will be less than the number of zeroes at the end of 300!   Hence it is sufficient to calculate the number of zeroes at the end of 150!   The number of zeroes = [150/5] + [150/25] + [150/125] = 30 + 6 + 1= 
30 + 6 + 1 = 37
37   The answer is 37.
Answer: D
The average of 10 numbers is calculated as 14. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is? Answers.
A) A)16  B) B)15  C) C)19  D) D)22  E) E)24

Solution: Explanation:   10 * 14 + 36 – 26 = 150=>150/10= 
150/10 = 15
15   15)
Answer: B
9 children can complete a piece of work in 360 days; 18 men can complete the same piece of work in 72 days and 12 women can complete it in 162 days. In how many days can 4 men, 12 women and 10 children together complete the piece of work? Choose the correct choice from the following choices.
A) 68 days
B) 81 days
C) 96 days
D) 124 days
E) 126 days

Solution: Explanation:   1 child’s 1 day’s work = 1/360 ×9 = 1/3240   10 children’s 1 day’s work = 1/324   1 man’s 1 day’s work = 1/72 × 18 = 1/1296   4 men’s 1 day’s work = 1 ×4/1296 = 1/324   12 women’s 1 day’s work = 1/162 given   Then, (4 men + 12 women + 10 children)’s 1 day’s work = 1/324 + 1/162 + 1/324   = 1/324 + 2/324 + 1/324 = 4/324 = 1/81   Therefore, the required No. of days = 81 days.   Answer: Option 81 days
Answer: B
Praveen starts business with Rs.3360 and after 5 months, Hari joins with Praveen as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Hari’s contribution in the capital?
Choose the most appropriate option
A) s.7500  B) s.8640  C) s.8500  D) s.9000  E) s.6000

Solution: Let Hari’s capital be Rs. x. Then, 3360 * 12/7x = 2/3   => 14x = 120960   => x = 8640.   ANSWER:s.8640
Answer: B
The difference between the value of a number increased by 12.5% and the value of the original number decreased by 25% is 30. What is the original number R?  Choices
A) 60
B) 80
C) 40
D) 120
E) 160

Solution: (1 + 1/8)x - (1 - 1/4)x = 30   (9/8)x - (3/4)x = 30   x = 80=R   Answer: 80
Answer: B
The banker's discount on Rs.1350 due a certain time hence is Rs.135. Find the true discount and the banker's gain.
Choose the correct choice from the following answers:  A) 12  B) 15  C) 18  D) 21  E) None

Solution: Solution   Sum	=B.D x T.D/ B.D - T.D   = B.D x T.D/ B.G   T.D / B. G	=Sum / B.D   = 1350 / 135= 
1350 / 135 = 10
10 / 1   If B.D is Rs. 11,T.D= Rs.10.   If B.D is Rs.135,   T.D	= Rs.(10 / 11 x 135)   = Rs.123.   And, B.G	= Rs(135 - 123)   = Rs.12.   12nswer 12
Answer: A
An athlete runs 360 metres race in 24 seconds. What is his speed?  Select: A) 23 B) 64.8 C) 37 D) 30 E) 28

Solution: Speed=Distance/Time = 360/20= 
360/20 = 18
18 m/s= 18 * 18/5= 
18 * 18/5 = 324/5 = around 64.8
64.8 km/hr   Answer :64.8
Answer: B
Excluding stoppages, the speed of a bus is 80 kmph and including stoppages, it is 60 kmph. For how many minutes does the bus stop per hour?  Choose the correct answer:
A) 12 min  B) 20 min  C) 25 min  D) 30 min  E) 15 min

Solution: Due to stoppages, it covers 20 km less.   Time taken to cover 20 km = (20/80 x 60) min = 15 min   Answer : 15 min
Answer: E
Find a sum for first 7 prime no's from number series? Answers:  A) 24  B) 56  C) 30  D) 34  E) 36

Solution: Required sum = (2 + 3 + 5 + 7 + 11+13+17) = 56   Note: 1 is not a prime number   Option 56
Answer: B
A number when divided by 342 gives a remainder 47. When the same number ift divided by 19, what would be the remainder ?	Choose the correct option
A) 8  B) 5  C) 9  D) 6  E) 16

Solution: On dividing the given number by 342, let k be the quotient and 47 as remainder.   Then, number – 342k + 47 = (19 x 18k + 19 x 2 + 9) = 19 (18k + 2) + 9.   The given number when divided by 19, gives (18k + 2) as quotient and 9 as remainder   Answer 9
Answer: C