MU-NLPC/Calc-aqua_rat huggingface dataset:
Can you deduce the pattern and find the next number in the series?
7, 15, 27, 99, __? Pick
A) 276	B) 277	C) 278	D) 279	E) None of these

Solution: Solution:   277   Explanation:   7 = (1^1 + 2^1 + 3^1) +1   15 = (1^2 + 2^2 + 3^2) +1   37 = (1^3 + 2^3 + 3^3) +1   99 = (1^4 + 2^4 + 3^4) +1   Thus the next number will be   (1^5 + 2^5 + 3^5) +1 = 277   Answer 277
Answer: B
On the blueprint there are 4 line measurements A, B, C, and D. If A:B = .437/.762, B:C = .762/3, C:D = 3/.146, then what is the total measurement for line B:D?  Choose the correct choice from the following.
A) 3.937	B) 1	C) 5.219	D) 20.547	E) 20.548

Solution: Solution   A : B = .437 : .762,   B : C = .762 : 3,   C : D = 3 : .146   âˆ´Aâˆ¶Bâˆ¶Câˆ¶D= .437 : .762 : 3 : .146.   Thus, B : D = .762 : .146   5.219orrect Option 5.219
Answer: C
3 events last together 240 days. Event A last as many seconds as event B in minutes, and event A last as many hours and event C in days. How long does event C last in days? Choose the correct answer:  A) 170 days  B) 40 days  C) 204 days  D) 68 days  E) 60 days

Solution: Let c be C’s duration in days. If b is B’s duration in days, then B lasts 1440b minutes. If a is A’s duration in days, then A lasts 86,400a seconds. Thus,86,400a = 1440bSince A is 24a hours long,24a = cSince A, B and C last together 240 days, a + b + c = 240 days.The above system of 3 equations in 3 unknowns (a, b and c) can be solved as follows:c / 24 + 3600c / 1440 + c = 240 or60c + 3600c +1440c = 345,600 orc = 345,600 / 5100 = 68 daysAnswer = 68 days
Answer: D
In a box, there are 10 red, 6 blue and 5 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green ?  Pick:
A) 4/51
B) 10/21
C) 7/12
D) 5/21
E) 13/17

Solution: Total number of balls = 10+6+5= 
10+6+5 = 21
21   E= event that the ball drawn is neither red nor green   = event that the ball drawn is green   n(E) = 5   P(E) = 5/21   Answer is 5/21
Answer: D
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 answers:
A) 6:8 B) 6:2 C) 6:5 D) 6:9 E) 6:6

Solution: 4:5   3:2   -------   12:15:10   12:10   6:5   Answer: 6:5
Answer: C
While driving from A-ville to B-town, Harriet drove at a constant speed of 105 kilometers per hour. Upon arriving in B-town, Harriet immediately turned and drove back to A-ville at a constant speed of 145 kilometers per hour. If the entire trip took 5 hours, how many minutes did it take Harriet to drive from A-ville to B-town? Select the correct option:
A) 138
B) 148
C) 150
D) 162
E) 174

Solution: 5hr = 300min.   If harriet spend equal hrs on each leg she will spend 150min on each. Since speed A-B is less than speed B-A and distance on each leg is the same, time spent on A-B is more than 150min, which mean we can eliminate ans. A, B and C.   Now let plug in ans. D or E and verify which one give same distance on each leg.   E. t= 174min   * leg A-B ---> d = 105.174/60 = 18270/60   * leg B-A ----> d = 145*126/60 = 18270/60   so the correct ans. is174
Answer: E
The average of five numbers is 27. if one number is excluded the average become 25. the excluded number is :	Choose the correct answer
A) 25 B) 27 C) 30 D) 35 E) 37

Solution: Solution   Excluded number = (27 × 5) - (25 × 4) = 135 - 100= 
135 - 100 = 35
35 . Answer 35
Answer: D
Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together? Choose the correct option: A) 19 1/7 days B) 16 1/7 days C) 14 1/7 days D) 17 1/7 days E) 13 1/7 days

Solution: 1/30 + 1/40 = 7/120   120/7 = 17 1/7 days   ANSWER:17 1/7 days
Answer: D
The ages of two persons differ by 16 years. If 6 years agao, the elder one be 3 times as old as the younger one, find their present ages.
Choose the correct choice from the following answers:
A) 20 years.  B) 30 years.  C) 40 years.  D) 50 years.  E) 60 years.

Solution: Sol.   Let the age of the younger person be x years.   Then, age of the elder perosn = (x + 16) years.   ∴ 3(x - 6) = (x + 16 - 6) ⇔ 3x - 18 = x + 10   ⇔ 2x = 28 ⇔ x = 14   Hence, their present ages are 14 years and 30 years.   Answer 30 years.
Answer: B
Renu can do a piece of work in 8 days, but with the help of her friend Suma , she can do it in 3 days. In what time Suma can do it alone?  Choose the most appropriate option.
A) 4.8 B) 1.2 C) 4.4 D) 4.6 E) 4.7

Solution: Renuâ€™s one dayâ€™s work = 1/8   Sumaâ€™s one dayâ€™s work = 1/3 - 1/8 = 5/24   Suma can do it alone in 4.8 days.   4.8NSWER:4.8
Answer: A
Find the total number of prime factors in the expression (4)^11 x (7)^5 x (11)^2.  Choose the correct answer
A) 29
B) 27
C) 28
D) 24
E) 21

Solution: (4)^11x (7)^5 x (11)^2 = (2 x 2)^11 x (7)^5 x (11)^2 = 2^11 x 2^11 x7^5x 11^2 = 2^22 x 7^5 x11^2   Total number of prime factors = (22 + 5 + 2)= 
(22 + 5 + 2) = 29
29.   29nswer is 29.
Answer: A
Two sides of a triangle have lengths x and t and meet at a right angle. If the perimeter of the triangle is 4x, what is the ratio of x to t ?
Choose the most appropriate option:	A) a) 2 : 3	B) b) 3 : 4	C) c) 4 : 3	D) d) 3 : 2	E) e) 2 : 1

Solution: Ahhhh....my bad. Thank you, you're correct. 8x = 6t --> x/t = 3/4.   Actually b) 3 : 4 is the right answer.
Answer: B
Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is?  Select the correct option
A) 2777 B) 2888 C) 8400 D) 2882 E) 2781

Solution: Ratio of their shares = 22500 : 35000 = 9:14   Deepak's share = 13800 * 14/23 = Rs. 8400.   Answer: 8400
Answer: C
Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 15 minutes. The waste pipe can empty the full cistern in?  Choose the correct choice from the following.
A) 6
B) 8
C) 10
D) 9
E) 2

Solution: 1/10 + 1/15 - 1/x = 1/15   x = 10   Answer:10
Answer: C
If the radius of a circle is decreased 40%, what happens to the area?  Options.
A) 10% decrease	B) 20% decrease	C) 36% decrease	D) 40% decrease	E) 64% decrease

Solution: Area of Square = Pi* radius^2   New Radius = 0.6 * old radius   so new area = (0.6)^2 old area => 4/25 of old area => 36% old area   Ans : 64% decrease
Answer: E
Factor | Percent of Respondents |
User-friendly | 56% |
Fast response time | 48% |
Bargain prices | 42% |
The table gives three factors to be considered when choosing an Internet service provider and the percent of the 1,300 respondents to a survey who cited that factor as important. If 30 percent of the respondents cited both “user-friendly” and “fast response time,” what is the maximum possible number of respondents who cited “bargain prices,” but neither “user-friendly” nor “fast response time?”
Select the correct option.
A) 312
B) 338
C) 360
D) 384
E) 420

Solution: The way I looked at is is as follows:   UserFriendly(UF) + FastResponse (FR) = 30%   UF leftover = 56 - 30= 
56 - 30 = 26
26%   FR leftover= 48 - 30= 
48 - 30 = 18
18%   Sum these= 74% (ie. 74% were either UF+FR, UF, FR)   26% leftover is the maximum number for 338argain Price   26/100 * 1300 = 26 * 13= 
26 * 13 = 338
338 (338).
Answer: B
The average age of A and B is 20 years. If C were to replace A, the average would be 19 and if C were to replace B, the average would be 21. What are the age of A, B and C? Select the correct option:  A) 22, 18, 20  B) 20, 20, 18  C) 18, 22, 20  D) 21, 20, 19  E) None of the above

Solution: Given 22, 18, 20 + B = 40…(i)   C + B = 38 … (ii)   22, 18, 20 + C = 42…(iii)   (i) + (ii) + (iii) ⇒ 22, 18, 20 + B + C = 60 …(iv)   from (i) and (iv), we get   C = 20 years   ∴ B = 18 years and 22, 18, 20 = 22 years   22, 18, 20nswer 22, 18, 20
Answer: A
The area of a square is equal to three times the area of a rectangle of dimensions 15 cm * 5 cm. What is the perimeter of the square? Options
A) 30
B) 80
C) 50
D) 60
E) 70

Solution: Area of the square = s * s = 3(15 * 5)   => s = 15 cm   Perimeter of the square = 4 * 15= 
4 * 15 = 60
60 cm.   Answer: Option 60
Answer: D
In a 100m race, Sam beats John by 3 seconds. On the contrary, if Sam allowed John to start 24m ahead of Sam, then Sam and John reach the finishing point at the same time. How long does Sam take to run the 100m race?  Select
A) 4 seconds B) 25.33 seconds C) 29 seconds D) 21 seconds E) 6.25 seconds

Solution: Their difference is 3 second but this difference is 0 if john allows Sam to start the race from 24m ahead . that means Jhon was 24m away from finishing line when they started together . so He will cover 24 m in 3 seconds . so his speed =24/3= 
24/3 = 8
8 metre / second . so time taken=100/3=33.33 seconds . so Sam took = 25.33 seconds .   correct answer = 25.33 seconds
Answer: B
If two distinct positive divisors of 128 are randomly selected, what is the probability that their sum will be less than 64?	Choose the correct choice from the following
A) 2/5 B) 5/7 C) 9/14 D) 15/28 E) 17/35

Solution: The positive divisors are 1, 2, 4, 8, 16, 32, 64, 128.   If any of the first six are chosen, the sum will be less than 64.   P(sum is less than 64) = 6/8 * 5/7 = 15/28   The answer is 15/28.
Answer: D
1500 is increased by 20%. Find the final number.
Choose the correct choice from the following choices
A) 1500	B) 1800.	C) 1900	D) 1700	E) 1660

Solution: Final number = Initial number + 20%(original number) = 1500 + 20%(1500) = 1500 + 300= 
1500 + 300 = 1_800
1800.   Answer 1800.
Answer: B
A fruit drink is made of grapefruit, lemon, and orange juice, where 25 percent of the drink is grapefruit juice and 35 percent is lemon juice. If the drink is made with 20 ounces of orange juice, how many ounces is the drink total?  Choose the correct choice from the following
A) 60 B) 80 C) 50 D) 100 E) 40

Solution: Let the total number of ounces in the drink be x   % of orange = 25%   % of watermelon = 35%   % of grape = 100% - 60% = 40%   But this number is given as 20 ounces   so 40% of x 100  - 60= 
100  - 60 = 40
40%   But this number is given as 20 ounces   so 40% of x= 20 and x = (20)(100/40) = (20)(5/2)   x = 50   Therefore there a total of 50 ounces in the drink.   50orrect answer - 50
Answer: C
The last time Rahul bought Diwali cards, he found that the four types of cards that he liked were priced Rs.2.00, Rs.3.50, Rs.4.50 and Rs.5.00 each. As Rahul wanted 30 cards, he took five each of two kinds and ten each of the other two, putting down the exact number of 10 rupees notes on the counter payment. How many notes did Rahul give?	Pick one
A) 8  B) 9  C) 10  D) 11  E) 13

Solution: Explanation :   Let the four cards be a, b ,c and d. 'x' be the number of notes.   Then, according to the question,   => 5a + 5b + 10c + 10d = 10*x.   => a + b + 2(c+d) = 2 * x . -----------------------------(i)   Since, a + b = 3.5 + 4.5= 
3.5 + 4.5 = 8
8 .   And,=> c + d = 2 + 5= 
2 + 5 = 7
7 .   Putting these values in (i), we get :-=> 8 + 2 * 7 = 2 * x.   => x = 11 .   Answer : 11
Answer: D
In a neighborhood having 90 households, 11 did not have either a car or a bike. If 16 households had a both a car and a bike and 44 had a car, how many had bike only?
Pick one:
A) 30  B) 35  C) 20  D) 18  E) 10

Solution: {Total}={Car}+{Bike}-{Both}+{Neither} --> 90=44+{Bike}-16+11 --> {Bike}=51 --> # those who have bike only is {Bike}-{Both}=51-16= 
51-16 = 35
35.   Answer: 35.
Answer: B
A wheel that has 8 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 28 revolutions, then the number of revolutions mad by the larger wheel is:	Choose the correct choice from the following options.
A) 15  B) 16  C) 17  D) 14  E) 20

Solution: B   16   Let the required number of revolutions made by larger wheel be x.   Then, More cogs, Less revolutions (Indirect Proportion)   14 : 8:: 28: x <-> 14 x x = 8 x 28   x = (8x 28)/14   x = 16
Answer: B
Thompson had the following scores in an exam (out of 100):
Social Studies: 60
Science: 89
Art: 62
Music: 69
Spanish:84
Biology: 89
What are his average marks ? Choose the correct option:  A) 61.5  B) 72.5  C) 71.5  D) 85.5  E) 75.5

Solution: Explanation:   Average = (60 + 89 + 62 + 69 + 84 + 89)/ 6 = 375/5= 
375/5 = 75
75.   Answer: 75.5) 75.5
Answer: E
Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?  Choose the correct choice from the following options
A) 2400	B) 2888	C) 277	D) 271	E) 128

Solution: First persons investment = x   Second persons investment = x + 1000   Third persons investments = x + 2000   x + x + 1000 + x + 2000 = 9000   3x = 6000   x = 2000   Ratio = 2000 : 3000 : 4000   2:3:4   4/9 * 54000 = 2400   2400nswer: 2400
Answer: A
The radius of a cylinder is 12 m, height 21 m. the lateral surface area of the cylinder is:
Choose the correct answer:	A) 1584	B) 1854	C) 1458	D) 1485	E) None of them

Solution: Lateral surface area = 2πrh   = 2 × 22/7 × 12 × 21   = 44 × 36   = 1584 m(power2)   1584nswer is 1584.
Answer: A
The sum of two consecutive integers is 21. Find the numbers.  Answers:
A) 17, 18 B) 7, 8 C) 10, 11 D) 1, 2 E) 8, 9

Solution: n + (n + 1) = 21   2n + 1 = 21   2n = 20   n = 10   Answer: 10, 11
Answer: C
A scientist was researching into animal behavior in his laboratory. He was very interested in studying the behavior of bears. He travelled a mile to the north and reached the north pole. There he saw a bear. He then followed the bear for an 1 hour to the east with a speed of 2km/hr. After that he travelled south and reached his laboratory in 2 hours. What was the colour of the bear?  Select:
A) Black  B) White  C) Red  D) Blue  E) None

Solution: This question is based on bear on poles so it should be polo bear and the color of polo bear is white.   ANSWER:White
Answer: B
The sum of the numbers is 660. If the first number be twice the second and third number be one-third of the first, then the second number is:
Answers
A) 48
B) 54
C) 72
D) 84
E) 180

Solution: Let the second number be x. Then, first number = 2x and third number = 2x/3.   2x + x + 2x/3 = 660   11x/3 = 660   x = 180   ANSW180R:180
Answer: E
If a and b are even integers, which of the following is an odd integer?
Choose the correct option
A) ab + 2 B) a(b − 1) C) a(a + 5) D) 3a + 4b E) (a + 3)(b − 1)

Solution: If a and b are even integers, then:   A. ab + 2: even + even = even   B. a(b − 1): even(odd) = even   C. a(a + 5): even(odd) = even   D. 3a + 4b: even + even = even   E. (a + 3)(b − 1): (odd)(odd) = odd.   Answer is (a + 3)(b − 1).
Answer: E
A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?	Choose the most appropriate option:
A) 1:2  B) 1:7  C) 1:9  D) 1:5  E) 1:1

Solution: T = 192/32= 
192/32 = 6
6 h   T= 6 - 3= 
6 - 3 = 3
3   Time Ratio= 6:3 = 2:1   Speed Ratio = 1:2   1:2nswer: 1:2
Answer: A
Two trains 131 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Answers:  A) 7.19  B) 7.18  C) 7.16  D) 7.15  E) 7.34

Solution: T = (131 + 165)/ (80 + 65) * 18/5   T = 7.34   Answer: 7.34
Answer: E
Solve the quickfire maths brain teaser √9% = ? Choose the correct choice from the following choices.
A) 30%  B) 40%  C) 85%  D) 19%  E) 29%

Solution: 30%   30%   √9%   => √9/√100   => 3/10   => 30/100   => 30%
Answer: A
If Ricky earns a raise of between 4% and 10%, non-inclusive, by what fraction could her salary have increased?	Pick one:
A) 1/4	B) 1/5	C) 1/10	D) 2/25	E) 1/20

Solution: Perhaps it is also easy to just translate the % into fractions:   5%:5/100=1/20   6%: 6/100 = 3/50   7%: 7/100   8%: 8/100 = 4/50 =2/25   9%: 9/100   Only 1/20 exists in the answer choices, so ANS 1/20
Answer: E
The total marks obtained by a student in Mathematics and Physics is 90 and his score in Chemistry is 30 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.  Choose the correct choice from the following answers:
A) 40
B) 30
C) 25
D) Data inadequate
E) None of these.

Solution: Let the marks obtained by the student in Mathematics, Physics and Chemistry be M, P and C respectively.   Given , M + C = 90 and C - P = 30 M + C / 2 = [(M + P) + (C - P)] / 2 = (90 + 30) / 2= 
(90 + 30) / 2 = 60
60.   ANSWNone of these.R:None of these.
Answer: E
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Six years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?	Choose the correct choice from the following choices:
A) A)24	B) B)48	C) C)67	D) D)56	E) E)45

Solution: Let the present ages of Sameer and Anand be 5x years and 4x years respectively.   Then,	(5x + 6/4x + 6)=11/9   9(5x + 6) = 11(4x + 6)   45x + 54 = 44x + 66   45x - 44x = 66 - 54= 
66 - 54 = 12
12.   Anand's present age= 4x = 48 years.   Answer:48
Answer: B
A train covers a distance of 12 km in 12 min. If it takes 6 sec to pass a telegraph post, then the length of the train is? Choose the most appropriate option
A) 177
B) 168
C) 100
D) 120
E) 122

Solution: Speed = (12/12 * 60) km/hr = (60 * 5/18) m/sec = 16.6 m/sec.   Length of the train = 16.6 * 6 = 100 m.Answer:100
Answer: C
A taxi company charges $1.40 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with $4.90? Choose the most appropriate option.
A) 4 miles  B) 4 1/4 miles  C) 4 3/4 miles  D) 5 1/2 miles  E) 6 miles

Solution: If we start out with $4.90 and have to spend $1.40 for the first quarter-mile, we will have $3.50 left to spend on quarter-mile intervals.   Since $3.50/$0.15 = 23.33, we can buy 23.33 more quarter-miles, and will travel 24.33 quarter miles in all:   24.33 × 1/4 = 6 miles.   The correct answer is choice (6 miles).
Answer: E
Three rugs have a combined area of 212 square meters. By overlapping the rugs to cover floor area of 140 square meters, the area that is covered by exactly two layers of rug is 24 square meters. What is the area that is covered with three layers of rug ?
Choose the correct choice from the following answers
A) 18 square meters  B) 20 square meters  C) 24 square meters  D) 28 square meters  E) 30 square meters

Solution: Total = Rug1 + Rug2 + Rug3 - {overlap of exactly 2 rugs} - 2*{overlap of exactly 3 rugs}   140 = 212 - 24 - 2*{overlap of exactly 2 rugs} --> {overlap of exactly 3 rugs} = 24.   Answer: 24 square meters.
Answer: C
Evaluate 28% of 650 + 45% of 280  Choices
A) 232
B) 308
C) 252
D) 262
E) 282

Solution: Explanation:   = (28/100) * 650 + (45/100) * 280   = 182 + 126= 
182 + 126 = 308
308   Answer: Option 308
Answer: B
A carpenter worked alone for 1 day on a job that would take him 7 more days to finish. He and another carpenter completed the job in 4 more days. How many days would it have taken the second carpenter to do the complete job working alone?
Choose the correct choice from the following answers
A) 16
B) 7
C) 9
D) 14
E) 24

Solution: A carpenter worked only 1 day on something that takes him 7 MORE days.   Means;   Carpenter finishes his work in 8 days.   Let his buddy finish the same task in x days.   Respective rates per day:   1/8 AND 1/x   To complete 1 work:   First guy worked for 5 days @ rate=1/8 per day.   Second one worked for 4 days @ rate=1/x per day   Expression:   Days*Rate=Work   5*1/8+4*1/x=1   5x+32=8x   2x=32   x=16 days.   16ns:16
Answer: A
How many four letter words are formed using the letters of the word COMPUTER? Choose the most appropriate option
A) 1680	B) 1789	C) 1678	D) 1899	E) 1788

Solution: The number of letters in the given word is four.   The number of three letter words that can be formed using these four letters is 8P4   = 8 * 7 * 6 * 5= 
8 * 7 * 6 * 5 = 1_680
1680.   1680nswer: 1680
Answer: A
Sum of two numbers prime to each other is 14 and their L.C.M. is 45. What are the numbers?	Pick.
A) 6 and 5
B) 8 and 5
C) 9 and 5
D) 8 and 5
E) 3 and 5

Solution: As two numbers are prime,satisfies all   but option 9 and 5 will make the product of numbers i.e 45   ANSWER:9 and 5
Answer: C
The greatest possible length which can be used to measure exactly the length 7m ,3m 85cm, 12m 95 cm is?
Choose the correct choice from the following options
A) 25cm B) 101cm C) 56cm D) 42cm E) 35cm

Solution: Required length = H.C.F of 700cm, 385cm, 1295cm = 35cm   Answer is 35cm
Answer: E
If a certain manager had received a 5% raise instead of the 8% raise that she actually received, her salary would have been $60,500. What was her actual salary after the raise?	Select:
A) 55,000 B) 58,806 C) 59,290 D) 62228.52 E) 61,620

Solution: No need of getting involved with decimals ..just work in fractions ..   salary(let X) included 5% increase can be written as   (1+5/100)X=60500   X=60500/1.05------>57619.05   if there is 8% rise in 57619.05   then the salary now is 8% of 57619.05   8*57619.05/100=4609.52   then toal salary after increment=57619.05+4609.52----->62228.52   Ans 62228.52
Answer: D
How many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth (units digit) is divisible by 4, and the digit 2 can be used only once?  Choose one.
A) 20	B) 150	C) 225	D) 300	E) 320

Solution: 4 options for the first digit: 2, 4, 6, 8;   5 options for the second digit: 1, 3, 5, 7, 9;   4 options for the third digit: 2, 3, 5, 7;   3 options for the fourth digit: 0, 4, 8.   Four digit # possible without the restriction (about the digit 2): 4*5*4*3=240   Numbers with two 2-s, 2X2X 1*5*1*3=15.   Thus there are 240-15= 
240-15 = 225
225 such numbers.   Answer: 225.
Answer: C
From a pack of 52 cards, 1 card is drawn at random. What is the probability that a king is drawn? Choose the correct answer.
A) 1/4  B) 4/13  C) 1/13  D) 3/26  E) 7/52

Solution: The total number of cards is 52.   The number of kings is 4.   P(king) = 4/52 = 1/13   The answer is 1/13.
Answer: C
The average age of 28 students in a group is 12 years. When teacherâ€™s age is included to it, the average increases by one. What is the teacherâ€™s age in years?	Choose the correct answer:
A) 31  B) 36  C) 41  D) 51  E) None

Solution: Sol.   Age of the teacher = ( 29 Ã— 13 â€“ 28 Ã— 12 ) years = 41 years.   Answer 41
Answer: C
In how many Q ways can the letters of the word JUPITER be arranged in a row so that the vowels appear in alphabetic order?
Choose the correct choice from the following answers:  A) 736  B) 768  C) 792  D) 840  E) 876

Solution: three letters can be arranged in 3! ways.   only one combination EIU is required.   7 letters can be arranged in 7! ways.   thus Q=7!/ 3! * 1 = 840.   840
Answer: D
The LCM and HCF of two numbers are 100 and 10 respectively. Find the larger of the two numbers if their sum is 110.	Choose the correct choice from the following options.
A) 100
B) 12
C) 35
D) 466
E) 56

Solution: There are 2 approaches in solving this.   Methode 1.   HCF * LCM = The Actual Number.   100* 10= 
100* 10 = 1_000
1000   So the answer which we are looking for has to be a factor of 1000.   So among the options shortlist the answers by eliminating those numbers which is not divisible by 1000. and then take the highest number as the answer as the question asks abt the highest number.   answer is 100
Answer: A