MU-NLPC/Calc-aqua_rat huggingface dataset:
If the price has fallen by 16% what percent of its consumption be: increased so that the expenditure may be the same as before?	Choose the correct choice from the following choices: A) 11 1/8% B) 11 1/5% C) 11 1/9% D) 19 1/21% E) 21 1/9%

Solution: 100 â€“ 16 = 84   84------16   100------? => 19 1/21%   Answer: 19 1/21%
Answer: D
A farmer with 1,350 acres of land had planted his fields with corn, sugar cane, and tobacco in the ratio of 5:2:2, respectively, but he wanted to make more money, so he shifted the ratio to 2:4:3, respectively. How many more acres of land were planted with tobacco under the new system?  Choose the correct choice from the following choices:
A) 90	B) 150	C) 270	D) 300	E) 450

Solution: Originally (2/9)*1350= 
(2/9)*1350 = 300
300 acres were planted with tobacco.   In the new system (3/9)*1350= 
(3/9)*1350 = 450
450 acres were planted with tobacco.   The answer is 150.
Answer: B
From 6 positive numbers and 7 negative numbers, how many groups of 4 numbers, yielding a positive product, can be formed? Choose the correct option: A) 720 B) 625 C) 230 D) 365 E) 255

Solution: The number of ways to choose 4 positive numbers is 6C4 = 15.   The number of ways to choose 4 negative numbers is 7C4 = 35.   The number of ways to choose 2 positive and 2 negative is 6C2*7C2 = 15*21= 
15*21 = 315
315.   The total number of groups is 15+35+315= 
15+35+315 = 365
365.   The answer is 365.
Answer: D
A bookseller sells his books at a 15% markup in price. If he sells a book for $23.00, how much did he pay for it? Select
A) $14.40	B) $14.00	C) $21.00	D) $19.60	E) $20.00

Solution: Let the cost price of book = x   Selling price of book = 23$   Markup % = 15   (115/100)x = 23   => x = 20   Answer $20.00
Answer: E
Two isosceles Triangles have equal vertical angles and their areas are in the ratio 25:49. Find the ratio of their corresponding heights .  Choose the correct choice from the following answers:
A) 4/5  B) 5/4  C) 3/2  D) 5/7  E) 2/3

Solution: We are basically given that the triangles are similar.   In two similar triangles, the ratio of their areas is the square of the ratio of their sides and also, the square of the ratio of their corresponding heights.   Therefore, area/AREA=height^2/HEIGHT^2=25/49 --> height/HEIGHT=5/7.   Answer: 5/7.
Answer: D
Find the fourth proportion to 5,10,85	Options:
A) 180
B) 120
C) 170
D) 75
E) 100

Solution: Explanation:   5:10 :: 85:x   => 5/10 = 85/x   => x = 850/5   => x = 170   Option 170
Answer: C
If a - b = 3 and a^2 + b^2 = 31, find the value of ab. Choose the correct choice from the following choices:  A) 12  B) 15  C) 10  D) 11  E) 13

Solution: 2ab = (a^2 + b^2) - (a - b)^2   = 31 - 9= 
31 - 9 = 22
22   ab= 11.   Answer is 11.
Answer: D
Look at this series: 30, 27, 32, 29, 34, 31, ... What number should come next?  Choose the correct choice from the following answers:
A) 30 B) 36 C) 38 D) 42 E) 32

Solution: Explanation:   In this simple alternating subtraction and addition series; 3 is subtracted, then 5 is added, and so on.   Answer: Option 36
Answer: B
Find the area of a rectangular field if John walking at the speed of 48m/min took 20 seconds to cross the field diagonally and Harry walking at a speed of 72m /min took 15 seconds to cross the field along its sides.	Choices:	A) 64	B) 144	C) 34	D) 35	E) 40

Solution: SOLUTION :   The length of the diagonal = speed of John * time = (48/60)*20= 
(48/60)*20 = 16
16m   Sum of the adjacent sides of the field= speed of Harry * time = (72/60)*15= 
(72/60)*15 = 18
18m   Area of the field= (182 - 162) / 2 = 34m2   ANSWER IS 34
Answer: C
A boy wants to go abroad by boat and return by flight. He has a choice of 4 different boat to go and 8 flight to return. In how many ways, can the boy perform his journey?  Choose the correct answer: A) 20 B) 32 C) 43 D) 45 E) 80

Solution: Ans.(B)   Sol. Number of choices to go by ship = 4 Number of choices to return by airline = 8 From, fundamental principle, total number of ways of performing the journey = 4 x 8 = 32 ways
Answer: B
Of the 60 pizzas a being ordered, 25% are pepperoni. How many many cheese pizzas must be changed to pepperoni in order to bring the number of pepperoni pizzas up to 50 percent of the pizzas? Choose the correct choice from the following answers:
A) 25  B) 30  C) 20  D) 15  E) 45

Solution: Now, there are 15 smokers (15% of 60) and   60-15= 
  60-15 = 45
45 non-smokers at a party. We need there to be 30 cheese and 30 pepperoni pizzas, in this case there will be 50% cheese and 50% pepperoni.   Therefore  45-30= 
 45-30 = 15
15 cheese must be changed to pepperoni pizza.   Answer: 15.
Answer: D
Two musicians, Maria and Perry, work at independent constant rates to tune a warehouse full of instruments. If both musicians start at the same time and work at their normal rates, they will complete the job in 60 minutes. However, if Perry were to work at twice Maria’s rate, they would take only 30 minutes. How long would it take Perry, working alone at his normal rate, to tune the warehouse full of instruments? Choose the correct choice from the following choices:
A) 1 hr 20 min B) 1 hr 45 min C) 2 hr D) 2 hr 20 min E) 3 hr

Solution: Sol:   Lets Perry Rate be P and Rate of Maria be M   (rate)*(time)= Work or rate = work/time   first equation=> P+M = 1/60   converting it to hrs P+M= 1/(60/60)= 
1/(60/60) = 1
> 1   second equation=> M+2M =>1/30   converting it to hrs 3M=1/(30/60) =>1/(1/2)= 
1/(1/2) = 2
>2   therefore M= 2/3 and P=1/3   Rate of Perry = 1/3   time= work/rate (work = 1 job)   Time= 3 hrs   Answer : 3 hr
Answer: E
When positive integer n is divided by 2, the remainder is 2. When n is divided by 7, the remainder is 5. How many values less than 100 can n take?  Choose one:	A) 0	B) 2	C) 3	D) 4	E) 5

Solution: a quick approac to this Q is..   the equation we can form is.. 3x+2=7y+5..   3x-3=7y... 3(x-1)=7y...   so (x-1) has to be a multiple of 7 as y then will take values of multiple of 3..   here we can see x can be 1,8,15,22,29 so 5 values till 100 is reached   as   (29-1)*3= 
  (29-1)*3 = 84
84 and next multiple of 7 will be 84+21>100..   ans 5.. 3
Answer: C
A grocer has a sales of Euro 520, Euro 628, Euro 525, Euro 600 and Euro 800 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Euro 700?
Select:
A) uro 1691
B) uro 1127
C) uro 3591
D) uro 7791
E) uro 4991

Solution: B   Euro 1127   Total sale for 5 months = Euro (520 + 628 + 525 + 600 + 800)= 
(520 + 628 + 525 + 600 + 800) = 3_073
Euro 3073.   Required sale= Euro [ (700x 6) - 3073]   = Euro (4200- 3073)= 
(4200- 3073) = 1_127
Euro 1127.   Answer is uro 1127
Answer: B
Rajan borrowed Rs.4000 at 5% p.a compound interest. After 2 years, he repaid Rs.2210 and after 2 more year, the balance with interest. What was the total amount that he paid as interest? Choices.
A) 635.5	B) 635.57	C) 635.87	D) 635.59	E) 635.28

Solution: 4000   200 ---- I   200   10 ---- II   ---------------   4410   2210   --------   2000   110 ---- III   110   5.50 ---- IV   -----------   2425.50   2210   -----------   4635.50   4000   ----------   635.50   635.5nswer:635.5
Answer: A
If the price of petrol is increased by 20% and subsequently by 40%. If the original price was Rs25 per litre then what is then the final price per litre? Choose the most appropriate option:
A) 42
B) 45
C) 48
D) 40
E) none

Solution: Answer   Final Price = 25 x (1 + 20/100) x (1 + 40/100)   =Rs.25 x 1.2 x 1.4   = Rs. 42   Correct Option: 42
Answer: A
The tax on a commodity is diminished by 22% but its consumption is increased by 9%. Find the decrease percent in the revenue derived from it?  Options: A) 20% B) 18% C) 15% D) 12% E) 14%

Solution: 100 * 100= 
100 * 100 = 10_000
10000   78 * 109= 
78 * 109 = 8_502
8502   10000------- 1200   100 ------- ?= 15%   ANSWER:15%
Answer: C
At present, the ratio between the ages of Arun and Deepak is 4:6. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?	Choose the correct choice from the following answers.
A) 17 years
B) 30 years
C) 18 years
D) 22 years
E) 19 years

Solution: Let the present ages of Arun and Deepak be 4x and 6x years respectively.   Then, 4x + 6 = 26 => x   = 5   Deepak's age   = 6x   = 30 years.   Answer:30 years
Answer: B
A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent? Select the correct option:	A) 227	B) 188	C) 100	D) 988	E) 271

Solution: MP = 100   100P = 75   SP = 150   ------   75 ---- 75   100 ---- ? => 100%   Answer:100
Answer: C
The population of a bacteria colony doubles every day. If it was started 6 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?  Choose the correct choice from the following answers:
A) 512
B) 768
C) 102
D) 204
E) 128

Solution: 6 days ago- 2   5 days ago- 4   4 days ago- 8   3 days ago- 16   2 days ago- 32   Yesterday- 64   Today- 128   Ans:128
Answer: E
A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Choose the most appropriate option:
A) 270
B) 288
C) 1266
D) 299
E) 212

Solution: 12*8 :16*9 = 18*6   8: 12: 9   9/29 * 870= 
9/29 * 870 = 270
270   270nswer: 270
Answer: A
Out of first 40 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?
Select.
A) 11/40  B) 17/29  C) 17/40  D) 31/40  E) 17/27

Solution: n(S) = 40   n(Even no) = 20 = n(E)   n(Prime no) = 12 = n(P)   P(EᴜP)   = 20/40 + 12/40 - 1/40   = 31/40   Answer:31/40
Answer: D
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?	Answers
A) 2277
B) 3000
C) 2682
D) 7222
E) 2682

Solution: 60*5:36*6:75*3   100: 72: 75   100/247 * 7410= 
100/247 * 7410 = 3_000
3000   Answer:3000
Answer: B
A 300 m long train crosses a platform in 27 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Select:
A) 286 m  B) 350 m  C) 277 m  D) 278 m  E) 150 m

Solution: Speed = 300/18 = 50/3 m/sec.   Let the length of the platform be x meters.   Then, (x + 300)/27 = 50/3   x = 150 m.   Answer:150 m
Answer: E
Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1330, how much does he invest in 12% stock at Rs. 120? Choose the correct option:
A) s. 4000
B) s. 4500
C) s. 5500
D) s. 6000
E) s. 6500

Solution: Let investment in 12% stock be Rs. x.   Then, investment in 15% stock = Rs. (12000 - x).   12/120 * x + 15/125 * (12000- x) = 1330   x/10 + 3/25(12000-x) = 1330   5x + 72000 - 6x = 1330 x 50   x = 5500.   Answer = s. 5500
Answer: C
if x:y = 1:3, then find the value of
(7x+3y):(2x+y) Choose one.
A) 14:5	B) 15:5	C) 16:5	D) 17:5	E) 18:5

Solution: Explanation:   let x = 1k and y = 3k,   so   =7(k)+3(3k)/2(k)+1(3k)   =16k/5k   =16:5   ANSWER IS 16:5
Answer: C
Which of the following numbers should not be included in the set?
331, 482, 551, 263, 382, 242, 111
Pick one:  A) 263  B) 382  C) 242  D) 111  E) None of these

Solution: Solution   In each number except 382,the product of first and third digits is the middle one. Answer 382
Answer: B
Combine terms: 15a + 26b -4b – 16a.	Answers:
A) 4a + 22b  B) -28a + 30b  C) -a + 22b  D) 28a + 30b  E) 5a + 30b

Solution: Solution:   15a + 26b -4b – 16a.   = 15a – 16a + 26b – 4b.   = -a + 22b.   Answer: (-a + 22b)
Answer: C
How many multiples of 4 are there between 12 and 108, inclusive?
Choose the correct choice from the following options
A) 21 B) 22 C) 23 D) 24 E) 25

Solution: The multiples of 4 are from 4*3 up to 4*27.   27-3+1= 
27-3+1 = 25
25.   The answer is 25.
Answer: E
Find out the number of ways in which 6 rings of different types can be worn in 3 fingers?	Pick one
A) 541	B) 729	C) 174	D) 189	E) 120

Solution: The first ring can be worn in any of the 3 fingers (3 ways).   Similarly each of the remaining 5 rings also can be worn in 3 ways.   Hence total number of ways   =3×3×3×3×3×3=36=729   ANSWER 729 729
Answer: B
A retailer purchases pants from a wholesaler and then sells the pants in his store at a retail price that is 50 percent greater than the wholesale price. If the retailer decreases the retail price by 20 percent this will have the same effect as increasing the wholesale price by what percent?	Choices
A) 26	B) 20	C) 42	D) 44	E) 25

Solution: Answer: B= 20.   Assume Rs. 100 to be the price at which the retailer buys from wholesaler.   50% increase makes Retail price = 150.   Now 20% decrease -> (1-20/100) * 150 = 120.   Now compared to the wholesale price of 100, 20% increase is what will have the same effect as increasing the wholesale price.
Answer: B
If c≠d and c·d≠0, which of the following may be true?  Choose the correct choice.
A) c.d =0 B) c-d=0 C) c+d=2 D) (c+d)(c-d)=0 E) c−d=d−c

Solution: except (c+d)(c-d)=0 all conditions are not as per question   (c+d)(c-d)=0
Answer: D
6 people meet for a ceremony. Each person shakes hands once with each other person present. How many handshakes take place? Options:	A) 30	B) 21	C) 18	D) 15	E) 10

Solution: Let's look at the logic.   Every person shakes hand with other '5'. So, 6 people shake hands with 6X5= 30 people   But in this 30 we have counted two times the total handshakes (s shakes hand with t and t shakes hand with s)   So just divide 30/2= 
30/2 = 15
15 total handshakes   Answer is 15
Answer: D
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?  Pick one:  A) 12 years  B) 19 years  C) 26 years  D) 24 years  E) 30 years

Solution: Explanation:   Let the present ages of Sameer and Anand be 5x years and 4x years respectively.   Then,5x +3/4X+3=11/9   9(5x + 3) = 11(4x + 3)   45x + 27 = 44x + 33   45x - 44x = 33 - 27= 
33 - 27 = 6
6.   Anand's present age= 4x = 24 years.   Answer: 24 years
Answer: D
A sum of money at simple interest amounts to Rs. 2240 in 2 years and to Rs. 2600 in 5 years. What is
the principal amount Choose one:
A) 1000
B) 1500
C) 2000
D) 2500
E) None of these

Solution: Explanation:   SI for 3 year = 2600-2240= 
2600-2240 = 360
360   SI for 2 year 360/3 * 2= 
360/3 * 2 = 240
240   principal= 2240 - 240= 
2240 - 240 = 2_000
2000   Answer:2000
Answer: C
Solve 7x – 5 = 4x + 11  Choices.
A) 5(1/3)	B) 6(1/3)	C) 7(1/3)	D) 8(1/3)	E) 9(1/3)

Solution: Sol.   7x – 5 = 4x + 11   => 7x – 4x = 11 + 5   => 3x = 16 => x = 16/3 = 5(1/3).   5(1/3)nswer 5(1/3)
Answer: A
What quantity of water should taken out to concentrate 12 liters of 40% acidic liquid to 60% acidic liquid? Answers
A) 4liters	B) 10liters	C) 15liters	D) 8liters	E) 6liters

Solution: Required answer is = 12(60-40)/60 = 4 liters   4litersnswer is 4liters
Answer: A
A team scored a total of 98 points. If each player on the team scored at least 14 points, then what is the greatest possible number of players on the team? Choices.
A) A)6  B) B)7  C) C)8  D) D)9  E) E)10

Solution: 98/14= 
98/14 = 7
7 plus remainder.   The answer is 7.
Answer: B
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is? Select the correct option.
A) 26 sec	B) 28 sec	C) 48 sec	D) 22 sec	E) 12 sec

Solution: Relative speed = 60 + 90= 
60 + 90 = 150
150 km/hr.= 150 * 5/18 = 125/3 m/sec.   Distance covered = 1.10 + 0.9= 
1.10 + 0.9 = 2
2 km= 2000 m.   Required time = 2000 * 3/125= 
2000 * 3/125 = 48
48 sec.   Answer:48 sec
Answer: C
Susan drives from city A to city B. After two hours of driving she noticed that she covered 80 km and calculated that, if she continued driving at the same speed, she would end up been 15 minutes late. So she increased her speed by 10 km/hr and she arrived at city B 36 minutes earlier than she planned.
Find the distance between cities A and B.
Pick
A) 223 B) 376 C) 250 D) 378 E) 271

Solution: Let xx be the distance between A and B. Since Susan covered 80 km in 2 hours, her speed was V=802=40V=802=40 km/hr.   If she continued at the same speed she would be 1515 minutes late, i.e. the planned time on the road is x40−1560x40−1560 hr. The rest of the distance is (x−80)(x−80) km. V=40+10= 
40+10 = 50
50V=40+10= 
40+10 = 50
50 km/hr.   So, she covered the distance between A and B in 2+x−80502+x−8050 hr, and it was 36 min less than planned. Therefore, the planned time was 2+x−8050+36602+x−8050+3660.   When we equalize the expressions for the scheduled time, we get the equation:   x40−1560=2+x−8050+3660x40−1560=2+x−8050+3660   x−1040=100+x−80+3050x−1040=100+x−80+3050   x−104=x+505x−104=x+505   5x−50=4x+2005x−50=4x+200   x=250x=250   So, the distance between cities A and B is 250 km.   Answer:250
Answer: C
? x 240 = 173 x 240
Choose the most appropriate option:
A) 173 B) 685 C) 865 D) 495 E) 534

Solution: Let y x 240 = 173 x 240   Then y = (173 x 240) / 240   =173   173NSWER :173
Answer: A
Two trains running in opposite directions cross a man standing on the platform in 67 seconds and 17 seconds respectively and they cross each other in 73 seconds. The ratio of their speeds is:  Choose the correct answer
A) 3/2  B) 3/9  C) 3/6  D) 3/1  E) 3/5

Solution: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 23 ==> 27 x + 17 y = 23 x + 23 y ==> 4 x = 6 y ==> x/y = 3/2.   3/2nswer:3/2
Answer: A
A manâ€™s current age is (2/5) of the age of his father. After 12 years, he will be (1/2) of the age of his father. What is the age of father at now?	Pick one:
A) 60 B) 45 C) 38 D) 50 E) 39

Solution: Let, fatherâ€™s current age is A years.   Then, Manâ€™s current age =[ (2/5)A ]years.   Therefore, [ (2/5)60 + 12 ]= (1/2)(60 + 12)   2(260 + 60) = 5(60 + 12)   60 = 60   60
Answer: A
If one positive integer is greater than another positive integer by 3, and the difference of their cubes is 63, what is their sum? Choose the correct choice from the following options
A) 5	B) 4	C) 3	D) 2	E) 1

Solution: 1^3 = 1   2^3 = 8   3^3 = 27   4^3 = 64   The two numbers are 1 and 4.   The answer is 5.
Answer: A
If the number 571 * 269 is completely divisible by 9, then the smallest whole number in place of * will b
Choose the correct choice from the following options
A) 4	B) 6	C) 7	D) 8	E) 9

Solution: Sum of digits = (5 + 7 + 1 + x + 2 + 6 + 9) = (30 + x), which must be divisible by 9.   x = 6.   6)
Answer: B
Find the roots of the quadratic equation: 2x2 + 3x - 9 = 0?
Choose one:  A) 3, -3/2  B) 3/2, -3  C) -3/2, -3  D) 3/2, 3  E) 2/3, -3

Solution: Explanation:   2x2 + 6x - 3x - 9 = 0   2x(x + 3) - 3(x + 3) = 0   (x + 3)(2x - 3) = 0   => x = -3 or x = 3/2.   ANSWER IS 3/2, -3
Answer: B
If (A-B-C+D = 13) and (A+B-C-D = 3), what is the value of (B-D)^2?  Select the correct option:	A) 4.	B) 8.	C) 12.	D) 25.	E) 64.

Solution: EQ1: A - B - C + 25. = 13   EQ2: A + B - C - 25. = 3   (1) Subtract EQ1 from EQ2   A - B - C + 25. = 13   - A +B - C - 25. = 3   ------------------------   -2B + 225. = 10   (2) Simplify   -B + 25. = 5   B - 25. = -5   (B-25.)^2 = (-5)^2 = 25   My answer: 25.
Answer: D
The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 6 years hence? Answers
A) 22	B) 77	C) 70	D) 98	E) 72

Solution: A + B = 60, A = 2B   2B + B = 60 => B = 20 then A = 40.   6 years, their ages will be 46 and 26.   Sum of their ages = 46 + 26= 
46 + 26 = 72
72.   Answer: 72
Answer: E
If x + | x | = 0, which of the following must be true?	Choose the correct choice from the following options.
A) x > 0 B) x≥0 C) x < 0 D) x≤0 E) x = 0

Solution: Manipulate the equations:   x + | x | = 0   |x| = -x   -x > 0 OR -x = 0   This means x could be 0 or x is less than 0.   D. x≤0   E. x=0   Answer: x≤0
Answer: D
To furnish a room in a model home an interior decorator is to select 2 chairs and 2 tables from the collection of chairs and tables in a warehouse that are all different from each other. If there are 5 chairs in the warehouse and if 150 different combinations are possible, how many tables r are there in the warehouse?
Answers
A) 6  B) 8  C) 10  D) 15  E) 30

Solution: Total number of ways to choose 2 chairs from 5 r= 5C2=10   Total number of combination=150   That means we need get 15 combinations from the selection of tables....   Screening through the answers.... 6C2=15..... 15*10=150   Answer is 6... 6
Answer: A
|16 - 5| - |5 - 12| = ?	Choose the most appropriate option
A) 3 B) 2 C) 1 D) 0 E) 4

Solution: |16 - 5| - |5 - 12| = | 11 | - | -7 | =11 - 7= 
11 - 7 = 4
4   correct answer 4
Answer: E
50% of the apartments in a certain building have windows and hardwood floors. 25% of the apartments without windows have hardwood floors. If 40% of the apartments do not have hardwood floors, what percent E of the apartments with windows have hardwood floors?
Answers.
A) 10  B) 16 2/3  C) 40  D) 50  E) 83 1/3

Solution: yup you need to construct a matrix   X********| Windows'|No Windows'''| total   hardFl****'|50*****''|10*********'|60   Not hardFl*|10******|30*********'|40   Total*****|60******'|40*********'|100   so 83 1/3 percent of the apartments with windows have hardwood floors = 50/60 *100   = 83 1/3   so 83 1/3 is the answer.[/u]
Answer: E
The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is Answers
A) 1/2 B) 1 C) 3/4 D) 3/5 E) 3/7

Solution: Sol. Required probability = Pg.) x P(B) = (1— D x(1 —I) =: x 1=1/2   1/2ns.(1/2)
Answer: A
8 friends decides to eat pizza. 4 friends eat type 1 pizza which cost 100 each. Remaining friend buy pizza having off on it and saves 100 and each of them pay equal money .Total bill is 800. what is actual cost of each pizza having off on it.	Pick.
A) 135	B) 115	C) 120	D) 125	E) 140

Solution: Solution: D.8 friend = 800. per friend 100. Saves 100 and each of them paid 100 and saved   100/4= 
  100/4 = 25
25. so pizza had a 20% off so actual cost is 125 for each pizza having discount.
Answer: D
Look at this series: 7, 10, 8, 11, 9, 12, 10, 13, 11, 14, 12, ... What number should come next? Choose the correct choice from the following answers
A) 12	B) 13	C) 14	D) 15	E) 16

Solution: This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.   The answer is 15.
Answer: D
A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
Choose the correct choice from the following options
A) 338 B) 277 C) 350 D) 881 E) 271

Solution: D = 72 * 5/18 = 25 = 500 – 150 = 350   Answer: 350
Answer: C
The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?	Choose the correct answer.
A) 18%
B) 19%
C) 28%
D) 38%
E) 58%

Solution: 1500 ---- 270   100 ---- ? => 18%   18%nswer: 18%
Answer: A
Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour? Answers:
A) 72
B) 62
C) 12
D) 72
E) 27

Solution: Explanation:   T = 9/45 * 60= 
9/45 * 60 = 12
12   Answer: Option 12
Answer: C
A car traveling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. What is the actual speed of the car? Choose the correct choice from the following choices:  A) 30km/hr  B) 35km/hr  C) 25km/hr  D) 40km/hr  E) 45km/hr

Solution: Explanation:   time =1 hr 40 min 48 sec   =1 hr +4060 hr +48/3600 hr   =1+2/3+1/75=126/75hr   distance =42 km   speed=distance/time=42(126/75) =42Ã—75/126=25 km/hr=25 km/hr   â‡’57 of the actual speed =25   â‡’ Actual speed =25Ã—7/5=35 km/hr   ANSWER IS 35km/hr
Answer: B