MU-NLPC/Calc-aqua_rat huggingface dataset:
Tanaka and Sam worked all summer mowing lawns to earn money for college. They combined what they made everyday and at the end of summer they split all of their earnings evenly (50/50) between themselves. If Sam earned an even number of dollars, and the product of Tanaka and Sam's earnings is an even number, then which of the following is true?
Pick:
A) Tanaka made $522.	B) Tanaka made $306.	C) Tanaka made $333.	D) Tanaka made $666.	E) Tanaka made $500.

Solution: From Parity Mathematics Rule: If the sum of two numbers is odd, then the product is even. x + y = odd; then, xy = even.   And, the sum of an even and odd number are odd, but the sum of two even numbers is even.   Sam's earning are even, so Tanakas must be odd.   Answer: Tanaka made $333.
Answer: C
Max planned to buy bike, sales man advised him to buy within this month, If he purchase next month means State Tax will be increasing 10% than its cost and it would be 82500. What is the bike's Selling price in this month  Choose the most appropriate option:
A) 70000	B) 73000	C) 75000	D) 77000	E) 79000

Solution: SP* (110/100) = 82500   SP= 750 * 100 => SP = 75000   Answer:75000
Answer: C
Which one of the following numbers is exactly divisible by 11?	Pick.
A) A)11	B) B)13	C) C)14	D) D)15	E) E)16

Solution: (4 + 5 + 2) - (1 + 6 + 3)= 
(4 + 5 + 2) - (1 + 6 + 3) = 1
1, not divisible by 11.   (2 + 6 + 4) - (4 + 5 + 2)= 
(2 + 6 + 4) - (4 + 5 + 2) = 1
1, not divisible by 11.   (4 + 6 + 1) - (2 + 5 + 3)= 
(4 + 6 + 1) - (2 + 5 + 3) = 1
1, not divisible by 11.   (4 + 6 + 1) - (2 + 5 + 4)= 
(4 + 6 + 1) - (2 + 5 + 4) = 0
0, So, 415624 is divisible by 11.   11
Answer: A
If two of the four expressions x + y , x + 3y , x - y , and 3x - y are chosen at random, what is the probability that their product will be of the form of x^2-(by)^2, where b is an integer? Select
A) 1/2  B) 1/6  C) 1/5  D) 1/3  E) 1/4

Solution: Total number of expressions if 2 are multiplied = 4C2 = 4!/2!*2! = 6   now we have to find the expressions that are in form of x^2 - (by)^2   one is (x+y)(x-y) = x^2 - (1y)^2   If you see any other combination we are always going to have one term of xy since 3x and 3y are there, so there can be only one type of combination like this.   therefore, probablity is 1/6   Answer : 1/6
Answer: B
Which is the smallest no which divides 2880 and gives a perfect square?  Options:
A) 4 B) 9 C) 3 D) 5 E) 7

Solution: 2880=20*144(because w.k.t 144 is perfect square)   =2*10*144   =2*2*5*144   =4*5*144(here 4 and 144 are perfect square)   so the smallest number is 5   ANSWER:5
Answer: D
A and B together can complete a piece of work in 6 days. B and C can complete the same work in 8 days.A and C can finish it in 12 days. If they all work together, how long it will take to finish the work Choose the correct choice from the following
A) 48/9 days B) 58/9 days C) 68/9 days D) 78/9 days E) 88/9 days

Solution: Solution: Work done by 48/9 days,B & C together in one day= ½(1/6 +1/8 + 1/12)=9/48   => days taken to complete the work by 48/9 days,B & C together =48/9 days   48/9 daysnswer 48/9 days
Answer: A
If k, m, and n are consecutive integers such that k > m > n and the sum of k, m, and n is a multiple of 10, which of the following could be the value of k?	Choose the correct choice from the following options:
A) 0	B) 1	C) 9	D) 10	E) 12

Solution: We're given a very specific set of restrictions in this prompt:   1) K, M and N are CONSECUTIVE INTEGERS   2) K > M > N   3) K+M+N = a multiple of 10   We're asked which of the 5 answer COULD be the value of K given these restrictions. Rather than staring at the screen or doing layered math, we canbrute forcethe answers until we find one that fits these restrictions..   Answer A: K = 0   In this case, the numbers would be 0, -1, and -2. The sum = -3 which is NOT a multiple of 10. Eliminate A.   Answer B: K = 1   In this case, the numbers would be 1, 0, and -1. The sum = 0 which IS a multiple of 10. B IS the answer.   Final Answer:   1
Answer: B
If the cost price is 90% of sp then what is the profit %	Select the correct option:
A) 1.10%  B) 1.11%  C) 1.15%  D) 1.17%  E) 1.27%

Solution: Sol. sp=Rs100 : then cp=Rs 90:profit =Rs 10.   Profit={(10/90)*100}%=1.11%   Answer is 1.11%.
Answer: B
The sum of ages of 5 girls born at the intervals of 3 years each is 70 years. What is the age of the youngest girl?	Options
A) years  B) years  C) years  D) years  E) years

Solution: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.   Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 70   5x = 40   x = 8.   Age of the youngest child = x = 8years.   years)
Answer: A
There is a five digit code consist of letters and digit. the code can have one digit from 1,2,3 and any four letters from A,b,c,d,e. first and last code must be a letter and all letters can be repeated. How many combinations can be possible?	Choose the correct choice from the following answers:
A) 625  B) 3840  C) 5625  D) 11,520  E) 11,620

Solution: 5c1*(5c1*5c1*3c1)*3!/2!*5c1=5625   First fix the 1st and last digit, that can be filled with any of the 5 letters in 5c1 ways   Remaining 3 digits includes a no which can be filled in 3c1 ways   Remaining 2 digits are again letters and can be filled in 5c1 ways   these 3 digits can be arranged among themselves in 3!/2! ways   5625 is the answer!   ANSWER:5625
Answer: C
If apples cost x dollars per m dozen, how many dollars will it cost to buy n apples?
Choose the most appropriate option:
A) xn/(12m) dollars
B) xn/m
C) m/(xn)
D) 12m/(xn)
E) 12mn/x

Solution: let it 2 dollars for 2 dozens(24) and we are asked to find the value n apples...let n be 4...   In order to buy 24 apples it took 2 dollars...then for 4 apples it'll take 4*2/12*2 = 1/3.. i.e. n*x/12*m.   xn/(12m) dollarsnswer: option xn/(12m) dollars is correct answer...
Answer: A
What is the next number of the following sequence
1,2,3,5,8,13,?  Pick one: A) 25 B) 21 C) 20 D) 24 E) 28

Solution: 1+2= 
1+2 = 3
3   2+3= 
2+3 = 5
5   3+5= 
3+5 = 8
8   5+8= 
5+8 = 13
13   8+13= 
8+13 = 21
21   therefore next no. is 21   ANSWER:21
Answer: B
A child must place 3 different toys in 4 different bins. If any of the toys can go in any of the bins, in how many ways can the child place the toys into the bins?
Choose the correct option:	A) 6^6	B) 6^4	C) 4^6	D) 4^3	E) 6^4-4^6

Solution: there are 4 different bins and each of the toy can go to any of these bins..   so answer 4âˆ—4âˆ—4=4^3   ANSWER:4^3
Answer: D
The ratio of two numbers is 3:4 and their sum is 28. The greater of the two numbers is?
Choose the correct choice from the following answers
A) 12  B) 14  C) 16  D) 18  E) 21

Solution: 3:4   Total parts = 7   = 7 parts --> 28 (7 × 4 = 28)   = 1 part ---->4 (1 × 4 = 4)   = The greater of the two number is = 4   = 4 parts ----> 16 (4 × 4 = 16)   16
Answer: C
A boat goes 8 km upstream in 24 minutes. The speed of stream is 4 km/hr. The speed of boat in still water is: Choose the correct choice from the following options
A) 24 km/hr
B) 29 km/hr
C) 27 km/hr
D) 25 km/hr
E) 26 km/hr

Solution: Speed upstream =8(24/60) = 20 km/hr   Speed of the stream = 4 km/hr   speed of boat in still water = (20+4)= 
(20+4) = 24
24 km/hr   24 km/hrnswer: 24 km/hr
Answer: A
The sale price sarees listed for Rs.500 after successive discount is 10% and 5% is? Choose the correct choice from the following answers:
A) 427.5
B) 277
C) 342
D) 882
E) 212

Solution: 500*(90/100)*(95/100)= 
500*(90/100)*(95/100) = 855/2 = around 427.5
427.5   427.5nswer: 427.5
Answer: A
A merchant has 1000kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is Choose the correct option:	A) 348	B) 600	C) 277	D) 188	E) 112

Solution: Rule of Allegation   Answer with Explanation: Profit on I kind (%) (c) Profit of II kind (d) 8 18   Mean Price (m) d-m (18-14) = 4 14 m-c (14-8) = 6   Ratio of Profits on I and II kind = 4:6 = 2:3   Step (ii) Quantity sold at 18% profit = (3/5 x 1000) kg = 600 kg.   Answer:600
Answer: B
Larry, Michael, and Doug have five donuts to share. If any one of the men can be given any whole number of donuts from 0 to 5, in how many different ways can the donuts be distributed?
Choose the most appropriate option: A) 21 B) 42 C) 120 D) 504 E) 5040

Solution: If you get confused about combinations, there's a simple way to count these combinations as well, by counting the number of ways 5 can be summed with 3 numbers.   {5,0,0} = 3 possibilities.   {4,1,0} = 6 possibilities.   {3,2,0} = 6 possibilities.   {3,1,1} = 3 possibilities.   {2,2,1} = 3 possibilities.   Total = 21 possibilitieS   21NSWER:21
Answer: A
A class has three girls and three boys. These students line up at random, one after another.
What is the probability that no boy is right next to another boy, and no girl is right next to
another girl?
Choose the correct choice from the following choices:
A) 1 /20 B) 1 /12 C) 1 /10 D) 3 /10 E) 1 /2

Solution: We pick the students in order. The first choice is always okay. There is a probability   3/5 that the second choice is okay; for example, if you picked a boy first then there are two boys   and three girls left. Similarly the probabilities that the remaining choices are okay is 1/2 , 2/3 , 1/2,1. The answer is 1/10 , the product of all these probabilities.   correct answer 1 /10
Answer: C
In an examination 35% of the students passed and 260 failed. How many students appeared for the examination?  Pick one:	A) A)540	B) B)400	C) C)700	D) D)650	E) E)840

Solution: Let the number of students appeared be x   then, 65% of x = 260   65x/100 = 260   x = 260*100/65= 
260*100/65 = 400
400   Answer is 400
Answer: B
Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles? Choose the correct option.
A) 2000  B) 2772  C) 8122  D) 2888  E) 2211

Solution: (10*10)/100= 
(10*10)/100 = 1
1%loss   100 --- 99   ? --- 1980=> Rs.2000   2000nswer: 2000
Answer: A
In a fuel station the service costs $2.20 per vehicle and every liter of fuel costs $0.70. Assuming that you fill up 3 mini-vans and 2 trucks, what will be the total cost, if a mini-van's tank is 65 liters and a truck's tank is 120% bigger and they are all empty?	Select the correct option:
A) $341.50
B) $344.60
C) $347.70
D) $350.80
E) $353.90

Solution: The service cost of 3 vans and 2 trucks is 5*2.20 $11.00   The fuel in 3 vans is 3*65= 
3*65 = 195
195 liters   The fuel in 2 trucks is   2*65*2.2= 
  2*65*2.2 = 286
286 liters   The total fuel (vans + trucks)= 481 liters   The total fuel cost is 481*0.7= 
481*0.7 = 336.7
$336.70   The total cost is $336.70 + $11.00 = $347.70   The answer is $347.70. 336.70 +  11.00= 
 336.70 +  11.00 = 347.7
$347.70   The answer is $347.70.
Answer: C
GOOD is coded as 164 then BAD coded as 21.if ugly coded as 260 then DAB?  Answers:  A) 20  B) 21  C) 22  D) 23  E) 24

Solution: GOOD=(7+15+15+4)*4= 
(7+15+15+4)*4 = 164
164   BAD= (2+1+4)*3= 
(2+1+4)*3 = 21
21   UGLY= (21+7+12+25)*4= 
(21+7+12+25)*4 = 260
260   coding follows   (sum of position of alphabets)*(no. of letters in the given word)   so,   DA21=(4+1+2)*3= 
(4+1+2)*3 = 21
21   ANSWER:21
Answer: B
A family has a man, his wife, their four sons and their wives and one daughter. The family of every son also has 3 sons and one daughter. Find out the total number of female members in the family ?  Choose the correct option:
A) 15
B) 10
C) 12
D) 16
E) 13

Solution: Explanation:   1) Man's wife. = 1   2) Man's 4 son's wives. = 4   3) Man's daughter. = 1   4) 4 son's has each one daughter. = 4   Therefore, total number of female members in the family = 1+4+1+4= 
1+4+1+4 = 10
10.   Answer 10
Answer: B
In five football games thus far this season, Barry has run for 98, 107, 85, 89, and 91 yards. At a minimum, how many yards M will he need to gain this Sunday if he wants to keep his season average above 100 yards?
Choose the correct choice from the following.
A) 101	B) 116	C) M=130	D) M=131	E) M=141

Solution: Sorry the answer M=141 is M=131.
Answer: D
At a local beach, the ratio of little dogs to average dogs to enormous dogs is 3:4:8. Late in the afternoon, the ratio of little dogs to average dogs doubles and the ratio of little dogs to enormous dogs increases. If the new percentage of little dogs and the new percentage of average dogs are both integers and there are fewer than 30 total dogs at the beach, which of the following represents a possible new percentage of enormous dogs?  Answers:
A) 25%  B) 40%  C) 55%  D) 50%  E) 70%

Solution: Little 50%ogs(L), Average 50%ogs(A) and Enormous 50%ogs (E)   The initial ratio for L:A:E :: 3:4:8   Initial Total dogs = 15X ( x assumed; 2+5+8= 
2+5+8 = 15
15), Since the total dogs are less than 30 therefore initial total value has to be 15   L= 3, A = 4 E = 8   L:A= 3:4   This ratio doubles   Hence New 50%og count is   L= 6 , A = 4 E= X: Also 6+4+x<30   We need to Find X*100/(4+6+X)   Now it says that new percentage of little dogs and Average dogs is an integer   %L = 6*100/(10+x) %A = 4*100/(10+x); Only Value for X is 10 ; 9+x<30 and % integer   Therefore, Enormus 50%ogs % is = 10*100/(20)= 
10*100/(20) = 50
50%   50%
Answer: D
Two trains 121 meters and 153 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?	Choose the correct choice from the following options.
A) 7.19
B) 6.8
C) 7.2
D) 7.15
E) 7.11

Solution: T = (121 + 153)/ (80 + 65) * 18/5   T = 6.8   Answer:6.8
Answer: B
A profit of Rs. 500 is divided between X and Y in the ratio of 1/2:1/3 . What is the difference between their profit shares ?  Select:
A) Rs. 200
B) Rs. 100
C) Rs. 300
D) Rs. 50
E) Rs. 90

Solution: A profit of Rs. 500 is divided between X and Y in the ratio of 1/2 : 1/3 or 3:2.   so profits are 300 and 200.   difference in profit share = 300-200= 
300-200 = 100
100   ANSWER:Rs. 100
Answer: B
How many prime numbers are between 76/8 and 124/5?  Choose the correct choice from the following choices
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: 76/8 = 38/4 = 19/2 = 10-   124/5 = 25-   Prime numbers between 10 and 29 are 11, 13, 17, 19, and 23   - sign signifies that the number is marginally less .   Answer 5
Answer: E
The following sets each have a mean of 8 and the standard deviations are given in variable form.
Set I = {8, 8, 8, 8, 8, 8}, standard deviation = A
Set II = {2, 2, 2, 14, 14, 14}, standard deviation = B
Set III = {5, 6, 7, 9, 10, 11}, standard deviation = C
Rank these three standard deviations from least to greatest.
Pick one:
A) A, B, C
B) B, C, A
C) C, A, B
D) C, B, A
E) A, C, B

Solution: The answer should be A, C, B as the mean is least deviated in Set I followed by Set III and then Set II.
Answer: E
33 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be :
Choose the correct choice from the following options:
A) 84 m
B) 88 m
C) 42 m
D) 137 m
E) None

Solution: Sol.   Let the length of the wire b h.   Radius = 1/2 mm = 1/20 cm. Then,   22/7 * 1/20 * 1/20 * h = 33 ⇔ = [33 * 20 * 20 * 7 / 22= 
33 * 20 * 20 * 7 / 22 = 4_200
4200cm= 42 m.   Answer 42 m
Answer: C
If the President and Vice President must sit next to each other in a row with 3 other members of the Board, how many different seating arrangements are possible?	Pick one
A) 48	B) 240	C) 300	D) 360	E) 720

Solution: We need to take President and VP as one unit. Therefore we have 3 people to arrange=4! ways   Also, we both President and VP can be arranged in 2 ! ways.   Reqd no of ways=4!*2!=48ways   48nswer 48
Answer: A
Tickets numbered from 1 to 24 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bears a number which is a multiple of 3? Choose the correct choice:  A) 1/3  B) 2/5  C) 3/10  D) 3/7  E) 1/7

Solution: Here, S = [1, 2, 3, 4, …., 19, 20, 21, 22, 23, 24]   Let E = event of getting a multiple of 3 = [3, 6, 9, 12, 15, 18, 21, 24]   P (E) = n (E) / n (S) = 8 / 24 = 1/3   The answer is 1/3.
Answer: A
25 is a perfect square and x is also a perfect square. when x is added to 25 and 1 is substrate from it will give an answer which is also a perfect square. then what is the square root of x?  Choose the most appropriate option: A) 6 B) 2 C) 3 D) 5 E) 4

Solution: here   6*6= 
6*6 = 36
36, 25+36-1=60   2*2= 
2*2 = 4
4, 25+4-1=28   3*3= 
3*3 = 9
9, 25+9-1=33   5*5= 
5*5 = 25
25, 25+25-1=49   4*4= 
4*4 = 16
16, 25+16-1=40   So 49 is the perfect square of 7   so the answer is 5
Answer: D
The average height of the four Torres towers is 800 feet. If the four Torres towers have a median height of 900 feet, what is the greatest possible height of the shortest building of the four?  Choices
A) 100 feet  B) 300 feet  C) 500 feet  D) 600 feet  E) 800 feet

Solution: a1≤a2≤a3≤a4;   The average height of the four Torres towers is 800 feet: a1+a2+a3+a4=4∗800   The median height of 900 feet: a2+a32=900 --> a2+a3=1800   Substitute a2+a3=1800 into a1+a2+a3+a4=4∗80: a1+1800+a4=4∗800 --> a1+a4=1400   To maximize a1a1 we should minimize a4a4. Minimum value of a4a4 is 900 (the median value), thus the maximum value of a1a1 is  1400 - 900= 
 1400 - 900 = 500
500.   Answer: 500 feet
Answer: C
A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?	Choose the correct choice.
A) Rs. 14,000
B) Rs. 12,000
C) Rs. 30,000
D) Rs. 40,000
E) Rs. 50,000

Solution: [1000 + (X-4000) * (2.5/100)] - X * (5/100) = 600   X = 12000   ANSWER:Rs. 12,000
Answer: B
The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women? Pick one.
A) 87 B) 98 C) 30 D) 28 E) 37

Solution: 20 + 24 + 8 * 2= 
20 + 24 + 8 * 2 = 60
60/2= 
60/2 = 30
30   Answer:30
Answer: C
If an article is bought at a profit of 15% and sold at a loss of 15% what is my total profit percent or loss percent?
Choose the correct option
A) 1.25  B) 2.25  C) 3.25  D) 4.25  E) 5.25

Solution: in the case if profit and loss is given same then in that case we can put the direct formula given as   (15*15)/100= 
(15*15)/100 = 9/4 = around 2.25
2.25%   ANSWER:2.25
Answer: B
A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more thanC. Out of a total profit of Rs. 35,000, A receives?  Choose one:
A) 14700
B) 14298
C) 23877
D) 27297
E) 17281

Solution: Let C = x. Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.   So, x + x + 5000 + x + 9000 = 50000 <=> 3x = 36000 <=>   x = 12000.   A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.   A's share = Rs. (35000 * 21/50 ) = Rs. 14,700.   14700nswer: 14700
Answer: A
Joke is faster than Paul, Joke and Paul each walk 24 KM. The sum of their speed is 7 Km per hour. And the sum of times taken by them is 14 hours. Then, Joke speed is	Pick
A) 2
B) 8
C) 7
D) 3
E) 0

Solution: Speed=DistanceTimeSpeed=DistanceTime   let the speed of joke x then speed of paul will be 7-x   24x+247−x=1424x+247−x=14   Try to plugin the values from the options. If Joke speed is 4 the paul is 3.   Answer:3
Answer: D
Line J has a y-intercept of 10 and passes through point (a,b). What is the slope of Line J in terms of a and b?
Options:
A) (a−6)/b
B) (a−b)/6
C) (6−a)/b
D) (b-10)/a
E) (b−6)/a

Solution: You know that the line goes through point (a,b) and the y-intercept of 10 tells you that the line also goes through point (0,10).   slope m = (y-y1)/(x-x1) = (b-10)/(a-0)= (b-10)/a   (b-10)/a
Answer: D
The product of n-1 consecutive positive integers is always divisible by
Select:
A) n^2 -1
B) (n-1)!
C) 2n +1
D) n^2 + 1
E) n!

Solution: Plug in some vlues and check -   Product of first 2 number is 2*1   Product of first 3 number is 3*2*1   Product of first 4 number is 4*3*2*1   Product of first 5 number is 5*4*3*2*1   So, The product of first n natural numbers is always divisible by n! , answer will be ((n-1)!)
Answer: B
If the Average of 10 consecutive integers is 20.5 then the 10th integer is :- Select
A) 15 B) 20 C) 23 D) 24 E) 25

Solution: The average falls between the 5th and 6th integers,   integer 5 = 20, integer 6 = 21.   Counting up to the tenth integer   we get 25.   ANSW25R:25
Answer: E
If A and B are two events such that P (A) = 3/4, P (B) = 1/4 and P (A n B) = 3/8,
find P (not A and not B).  Choose the correct answer.
A) A)3/7
B) B)3/8
C) C)3/9
D) D)3/10
E) E)3/11

Solution: P(not A and not B) = 1 - (P(A) + P(B) - P(AB))   which you might find somewhere in your text.   Substituting in our probabilities we get:   P(not A and not B) = 1 - (3/4 + 1/4 - 3/8)   P(not A and not B) = 1 - (5/8)   P(not A and not B) = 3/8.   3/8
Answer: B
How many arrangements of the letters of the word BEGIN can be made, without changing the place of the vowels in the word? Choices:
A) 5 ways  B) 6 ways  C) 7 ways  D) 9 ways  E) 11 ways

Solution: E,I fixed. Consonants can be arrangements in 3P3 = 3! = 6 ways   6 ways)
Answer: B
The sum of the numbers is 264. If the first number be twice the second and third number be one-third of the first, then the second number is:
Choose the correct answer:
A) 48	B) 54	C) 72	D) 84	E) 90

Solution: Explanation:   Let the second number be x. Then, first number = 2x and third number = 2x/3.   2x + x + 2x/3 = 264   11x/3 = 264   x = 72   ANSWER IS 72
Answer: C
A train is 360 meter long is running at a speed of 54 km/hour. In what time will it pass a bridge of 140 meter length?  Select the correct option:
A) 33.33 seconds B) 38 seconds C) 40 seconds D) 88 seconds E) 19 seconds

Solution: Speed = 54 Km/hr = 54*(5/18) m/sec = 15 m/sec   Total distance = 360+140= 
360+140 = 500
500 meter   Time= Distance/speed   = 500 * (1/15) = 33.33 seconds   33.33 secondsnswer: 33.33 seconds
Answer: A
A reduction of 24% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg? Choose the correct choice from the following answers:	A) 2.8	B) 3.2	C) 2.5	D) 2.1	E) 2.9

Solution: 100*(24/100)= 
100*(24/100) = 24
24 --- 10   ? --- 1=> Rs.2.4   100 --- 76   ? --- 2.4 => Rs.3.2   Answer: 3.2
Answer: B
In a BCCI meeting there are 15 people. All shake hands with each other once. How many handshakes will be there altogether?	Choose the correct choice:	A) 28	B) 14	C) 15	D) 19	E) 18

Solution: There will be n-1 handshakes as A person will shake hands with all the other members.   =15-1= 
15-1 = 14
14   Answer:14
Answer: B
Find the area of a parallelogram with base 24 cm and height 12 cm?
Choose the most appropriate option
A) 297 cm2	B) 384 cm2	C) 672 cm2	D) 267 cm2	E) 288 cm2

Solution: Area of a parallelogram   = base * height   = 24 * 12= 
24 * 12 = 288
288 cm2   Answer: 288 cm2
Answer: E
P and Q can complete a work in 80 days and 48 days respectively. P alone started the work and Q joined him after 8 days till the completion of the work. How long did the work last?
Choose the correct choice from the following answers:
A) 35 days  B) 10 days  C) 14 days  D) 22 days  E) 26 days

Solution: Explanation :   Work done by P in 1 day = 1/80   Work done by Q in 1 day = 1/48   Work done by P in 8 days =8 Ã— (1/80) = 1/10   Remaining work = 1 â€“ 1/10 = 9/10   Work done by P and Q in 1 day = 1/80 + 1/48 = 1/30   Number of days P and Q take to complete the remaining work = (9/10) / (1/30)= 
(9/10) / (1/30) = 27
27   Total days= 8 + 27= 
8 + 27 = 35
35   35 daysnswer : Option 35 days
Answer: A
How many pairs (e, e+1) have one or more prime factors common, where e is an integer and 2 ≤ e ≤9 ?	Choose the correct answer.
A) 0  B) 1  C) 2  D) 3  E) 4

Solution: e and e+1 are consecutive integers.   Two consecutive integers are co-prime, which means that they don't share ANY common factor but 1. For example 20 and 21 are consecutive integers, thus only common factor they share is 1.   0nswer: 0.
Answer: A