divelab/Sys2Bench huggingface dataset:
Question: The average weight of 6 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
Options:
A)76 kg
B)80 kg
C)85 kg
D)Data inadequate
E)None of these
Rationale: Explanation:
Total weight increased = (6 x 2.5) kg = 15 kg.
Weight of new person = (65 + 15) kg = 80 kg.
Answer: B
Answer: B
Question: Find the cost of fencing around a circular field of diameter 14 m at the rate of Rs.2.50 a meter?
Options:
A)288
B)110
C)772
D)592
E)261
Rationale: 2 * 22/7 * 7 = 44
44 * 2.5 = Rs.110
Answer: B
Answer: B
Question: Winson earns $10.00 per hour for the first 40 hours he works per week, and twice this rate for overtime. If Michael earned $363 last week, how many hours did he work?
Options:
A)43
B)44
C)45
D)46
E)47
Rationale: $10*40 + $12*x = $363 --> x = 3 hours.
Total working hours = 40 + 3 = 43.
Answer: A.
Answer: A
Question: The ratio between the present ages of P and Q is 6 : 7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years?
Options:
A)3 : 4
B)3 : 5
C)4 : 3
D)7 : 8
E)None
Rationale: Sol.
Let P's age and Q's age be 6x years and 7x years respectively.
Then, 7x - 6x = 4 ⇔ x = 4.
∴ Required ratio = (6x + 4) : (7x + 4) = 28 : 32 = 7 : 8.
Answer D
Answer: D
Question: The radius of a circle is 4/π cm then its perimeter is?
Options:
A)10
B)9
C)8
D)12
E)15
Rationale: perimeter=2πr
2π*4/π=8 cm
Answer: C
Answer: C
Question: There are n cities. What is the number of airlines that connected 3 different cities (airline from city A to city B is different with airline from city B to city A)?
Options:
A)n(n-1)
B)n(n+1)
C)n(n-1)/2
D)n(n+1)/2
E)n(n-2)
Rationale: First of all, the possible number of airlines is n. Then, the possible number of airlines departing from one city to another becomes (n-2). Hence, the answer is n(n-2), which makes A an answer choice.
E
Answer: E
Question: The average of non-zero number and its square is 5 times the number. The number is?
Options:
A)9
B)37
C)98
D)8
E)2
Rationale: Let the number be x. Then,
(x + x2)/2 = 5x => x2 - 9x = 0
=> x(x - 9) = 0
=> x = 0 or x = 9
So, the number is 9.
Answer:A
Answer: A
Question: Find the annual income derived by investing $ 6800 in 60% stock at 136.
Options:
A)550
B)3000
C)250
D)300
E)400
Rationale: By investing $ 136, income obtained = $ 60.
By investing $ 6800, income obtained = $ [(60/136)*6800] = $ 3000.
Answer B.
Answer: B
Question: If ab^2c = b^4 , which of the following must be true?
I. ac = b^2
II. b = 0
III. ac = 1
Options:
A)none
B)I
C)II
D)III
E)I &II
Rationale: to fulfill conditions some assumptions are to be made b#0 etc.
A
Answer: A
Question: A is thrice as good a workman as B and therefore is able to finish a job in 70 days less than B. working together, they can do it in
Options:
A)days
B)½ days
C)days
D)days
E)1/4 days
Rationale: Explanation:
B = 3A
3A – A =70 days
A = 35days
Then, B = 90 days
(A + B) = 35 × 90/ 120 = 26 1/4 days .
Answer: Option E
Answer: E
Question: 15 men take 20 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take to do the same. If 3 women do as much work as 2 men?
Options:
A)27.57
B)28.57
C)29.57
D)30.57
E)32
Rationale: 3W = 2M
15M ------ 20 * 8 hours
21 W ------ x * 6 hours
14 M ------ x * 6
15 * 20 * 8 = 14 * x * 6
x = 28.57
ANSWER:B
Answer: B
Question: The length of a train and that of a platform are equal. If with a speed of 108 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Options:
A)757
B)758
C)718
D)900
E)738
Rationale: Speed = [108 * 5/18] m/sec = 30 m/sec; Time = 1 min. = 60 sec.
Let the length of the train and that of the platform be x meters.
Then, 2x/60 = 30 è x = 30 * 60 / 2
=900
Answer:D
Answer: D
Question: Mark has a rectangular driveway with a line painted diagonally across. The length of the driveway is 5 feet longer than its width. If the total area of the driveway is 36 square feet, what is the length of the painted line (in feet)?
Options:
A)between 9 and 10
B)between 10 and 11
C)between 11 and 12
D)between 12 and 13
E)between 13 and 14
Rationale: To solve this, we first need to set up an equation for the area of the room. If x is the width, then we have
x(x + 5) = 36. By putting the equation in standard form, we get x^2+5x-36=0. By using the quadratic formula, we get roots of 4 and -9. We know that x is the width, and x+5 is the length, so by using the roots, we get 4 as the width (x), and 9 as the length (x+5).
Once we have this, we can use the Pythagorean Theorem to solve for the diagonal. Plugging in the length and width, we will get d^2=4^2+9^2
=16+81
=97
The square root of 97 is less than 10, since 10^2 = 100. Going down a number, we can compute 9^2 = 81 < 97. Therefore, the length of the diagonal must be between 9 and 10.
The correct answer is A.
Answer: A
Question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
A)3446
B)2345
C)5467
D)4767
E)5184
Rationale: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
E
Answer: E
Question: The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
Options:
A)18 cm
B)20 cm
C)24 cm
D)28 cm
E)38 cm
Rationale: 2(l + b) = 5
b 1
2l + 2b = 5b
3b = 2l
b = 2 l
3
Then, Area = 216 cm2
l x b = 216
l x 2 l = 216
3
l2 = 324
l = 18 cm.
A)
Answer: A
Question: Nitin ranks 12th in a class of 56 students. What is rank from the last ?
Options:
A)33
B)38
C)45
D)28
E)19
Rationale: Explanation:
Number students behind the nitin in rank = (56 - 12) = 44
Nitin is 45th from the last
Answer: C) 45
Answer: C
Question: In a college students can play cricket or basketball. 500 play cricket.220 played both and 600 played basketball. What is the total strength of college?
Options:
A)800
B)880
C)920
D)950
E)980
Rationale: P(C)= 500
P(B)=600
P(C n B) =220
P(C U B)= P(C)+ P(B) - P(C n B)
= 500+600-220= 880
ANSWER:B
Answer: B
Question: Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is?
Options:
A)65
B)67
C)70
D)72
E)85
Rationale: Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:
A.	75
B.	81
C.	85
D.	89
Answer: Option C
Explanation:
Since the numbers are co-prime, they contain only 1 as the common factor.
Also, the given two products have the middle number in common.
So, middle number = H.C.F. of 551 and 1073 = 29;
First number = 551 = 19; Third number = 1073 = 37.
29	29
Required sum = (19 + 29 + 37) = 85
E)
Answer: E
Question: A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 after six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
Options:
A)7500
B)8500
C)9000
D)8000
E)7000
Rationale: Explanation:
A : B : C
=20000×24:15000×24:20000×18
=20×4:15×4:20×3
=4×4:3×4:4×3
=4:3:3
B's share = 25000×3/10=7500
Answer: Option A
Answer: A
Question: Find the invalid no.from the following series 15, 16, 34, 104, 424, 2124, 12756
Options:
A)16
B)34
C)104
D)424
E)2124
Rationale: 2nd term = (1st term) * 1 + 1 = 15 *1 + 1 = 16.
3rd term = (2nd term) * 2 + 2 = 16 * 2 + 2 = 34
4th term = (3th term) *3 + 3 = 34 * 3 + 3 = 105
5th term = (4th term) * 4 + 4 = 105 * 4 + 4 = 424
6th term = (5th term) * 5 + 5 = 424 * 5 + 5 = 2125
4th term should 105 instead of 104.
C
Answer: C
Question: With what number must 1020.5 be multiplied in order to obtain the number10205?
Options:
A)10
B)1,000
C)10,000
D)100,000
E)None of these
Rationale: Explanation: The decimal must be moved one places to the right. To do this, we must multiply by a number with one zeroes. The correct answer is 10.The decimal must be moved one places to the right. To do this, we must multiply by a number with one zero. The correct answer is 10.
Answer : (A)
Answer: A
Question: Find the average of the series : 120, 148, 420, 150 and 162?
Options:
A)174
B)240
C)200
D)202
E)230
Rationale: Average = (120 + 148 + 420 + 150 + 162)/5
= 1000/5
= 200
Answer: C
Answer: C
Question: What will come in place of the x in the following Number series? 279936, 46656, 7776, 1296, 216, x
Options:
A)30
B)31
C)36
D)38
E)42
Rationale: Go on dividing by 6 to the next number
C)
Answer: C
Question: In a certain game there are 8 steps, referred to as step 1, step 2, and so on with the final step being step 8. The steps are played one after the other. In each step a score of 1, 2, 3, 4, or 5 is obtained. Andrea played the game, getting at least one score of each of 1, 2, 3, 4, and 5, and never getting the same score in consecutive steps. What is the greatest possible score that Andrea could have gotten?
Options:
A)28
B)29
C)30
D)36
E)40
Rationale: There are two conditions:
1. Andrea got at least one score of each of 1, 2, 3, 4, and 5.
2. She never got the same score in consecutive steps.
Taking that into account, the greatest possible score that Andrea could have gotten is 5 + 1 + 5 + 2 + 5 + 3 + 5 + 4 = 30.
Answer: C.
Answer: C
Question: By selling an umbrella for Rs. 300, a shop keeper gains 100%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
Options:
A)23.23
B)32.32
C)33.33
D)30
E)31
Rationale: Marked price = Rs. 200
C.P. = 100/100 * 300 = Rs. 300
Sale price = 90% of Rs. 300 = Rs. 270
Required gain % = 100/300 * 100 = 33.33%.
Answer:C
Answer: C
Question: In a family with 3 children, the parents have agreed to bring the children to the pet store and allow each child to choose a pet. This pet store sells only dogs, cats, and monkeys. If each child chooses exactly one animal, and if more than one child can choose the same kind of animal, how many different arrangements of animals could the family leave with?
Options:
A)6
B)8
C)9
D)10
E)12
Rationale: The question has a catch.. It would seem on the face of it it would be 3 x 3 x3 = 27 arrangements, but what it is asking is how many arrangements the family leaves with.. so that is going to be
Pick all 3 = 1 way
Pick all of a kind = 3 x 1 = 3 ways
Pick 2 of a kind = 3 x 1 x 2 = 6 ways
Total of 10
ANS:D
Answer: D
Question: how many feet is 24 inches
Options:
A)6
B)3
C)2
D)8
E)9
Rationale: C
Answer: C
Question: If x, y, and z are consecutive positive odd integers, not necessarily in that order, which of the following must be true? I. xz > y^2 II. (x + z)^3 > y III. x+y>z^2
Options:
A)I only
B)I,II only
C)II,III only
D)III only
E)II only
Rationale: Lets suppose that a,b,c can take any one of following three value 1,5,7. Most important point is that the options MUST BE TRUE under any condition.
x+y>z^2
Not necessarily true as 1+5<49
xz>y^2
Not necessarily true as 1.7<25
We don't need to check option as all the options except E can be discarded.
Thus Answer E
Answer: E
Question: Two pipe fill a empty tank in 14 hours and 16 hours respectively.when both pipe open together then it came to know that because of a hole in a tank it takes 32 more minutes to fill the tank.then in how much time that hole take to empty the full tank?
Options:
A)125
B)106
C)85
D)112
E)76
Rationale: both pipe filling work in 1 hour=[1/14+1/16]=15/112
so,time both pipe take to full the tank =112/15hour=7hour28minute
because of hole time taken to fill the tank=7 hour 28 minutes+32 minute=8 hour
all three resultant work in 1 hour=1/8
hole 1 hour empty work=[15/112-1/8]=1/112
so time taken to empty the full tank=112 hours
answer D
Answer: D
Question: Without stoppages, a train travels certain distance with an average speed of 200 km/h, and with stoppages, it covers the same distance with an average speed of 160 km/h. How many minutes per hour the train stops ?
Options:
A)8
B)9
C)10
D)11
E)12
Rationale: Due to stoppages, it covers 40 km less .
Time taken to cover 40 km = 40â„200h = 1â„5h
= 1â„5 Ã— 60 min = 12 min
Answer E
Answer: E
Question: Number of ways in which the letters of word PARTE can be arranged with vowels in alphabetical order, is
Options:
A)360
B)240
C)120
D)480
E)60
Rationale: Solution
Order of vowels of fixed
âˆ´ required number of ways are 5!/2!.
Answer E
Answer: E
Question: find which among the integer numbers is the sum of 3 consecutive even integers?
Options:
A)200
B)303
C)400
D)554
E)576
Rationale: Sum of three consecutive Even Integers must be a multiple of 2 as well as a multiple of 3 because such a sum is always 3 times the middle number (applicable to all equally spaced numbers)
Divisibility of 3: Sum of the digits of the number must be divisible by 3
Divisibility of 2: Unit digit of the number must be divisible by 2
A. 200NOT A MULTIPLE OF 3 SO RULED OUT
B. 303NOT A MULTIPLE OF 2 SO RULED OUT
C. 400NOT A MULTIPLE OF 3 SO RULED OUT
D. 554NOT A MULTIPLE OF 3 SO RULED OUT
E. 576A MULTIPLE OF BOTH 2 AND 3 SO THE CORRECT ANSWER!!!
Answer: E
Question: If 60 J of energy are available for every 15 C of charge, what is the voltage?
Options:
A)4V
B)3V
C)7V
D)9
E)2
Rationale: Explanation:
No answer description available for this question
Answer: Option A
Answer: A
Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Options:
A)288
B)277
C)342
D)662
E)262
Rationale: 400*(90/100)*(95/100)
= 342
Answer: C
Answer: C
Question: A boat moves upstream at the rate of 1 km in 25 minutes and down stream 1 km in 12 minutes. Then the speed of the current is :
Options:
A)1 kmph
B)2 kmph
C)3 kmph
D)1.3 kmph
E)3.5 kmph
Rationale: Rate upstream = (1/25 *60) = 2.4 kmph
Rate dowm stream = 1/12 * 60 = 5 kmph
Rate of the current = ½ (5-2.4) = 1.3 kmph
ANSWER:D
Answer: D
Question: The length of the room is 5.5m and width is 3.75m. Find the cost of paving the floor by slabs at the rate of Rs.800 per sq meter
Options:
A)rs.16500
B)rs.15500
C)rs.17500
D)rs.18500
E)None of these
Rationale: Explanation:
l=5.5m w=3.75m
area of the floor = 5.5 * 3.75 = 20.625 sq m
cost of paving = 800 *20.625 =Rs. 16500 Answer: A
Answer: A
Question: In a division, a student took 78 as divisor instead of 36. his answer was 24 . The correct answer is-
Options:
A)42
B)32
C)48
D)52
E)38
Rationale: X/78 = 24.
X = 24 *78.
So correct answer would be,
(24 *78) /36 = 52.
ANSWER : D
Answer: D
Question: It was calculated that 75 men could complete a piece of work in 30 days. When work was scheduled to commence, it was found necessary to send 25 men to another project. How much longer will it take to complete the work?
Options:
A)20 days.
B)30 days.
C)25 days.
D)28 days.
E)45 days.
Rationale: One day work = 1 / 30
One man’s one day work = 1 / ( 30 * 75)
Now:
No. Of workers = 50
One day work = 50 * 1 / ( 30 * 75)
The total no. of days required to complete the work = (75 * 30) / 50 = 45
Answer:E
Answer: E
Question: The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
Options:
A)91.5
B)91.4
C)91.7
D)91.3
E)91.1
Rationale: Perimeter of the sector = length of the arc + 2(radius)
= (135/360 * 2 * 22/7 * 21) + 2(21)
= 49.5 + 42 = 91.5 cm
Answer:A
Answer: A
Question: A student has 7 trousers and 9 shirts. In how many different ways can the student select a trouser and a shirt?
Options:
A)45
B)51
C)57
D)63
E)69
Rationale: The student can select one trouser in 7 ways.
The student can select one shirt in 9 ways.
The number of ways to select one trouser and one shirt is 7 * 9 = 63 ways
The answer is D.
Answer: D
Question: A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
Options:
A)32
B)545
C)88
D)66
E)09
Rationale: S = (100 + 300)/45 = 400/45 * 18/5 = 32
Answer: A
Answer: A
Question: A man has Rs. 496 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Options:
A)80
B)93
C)95
D)98
E)100
Rationale: Let number of notes of each denomination be x.
Then x + 5x + 10x = 496
16x = 496
x = 31.
Hence, total number of notes = 3x = 93.
B
Answer: B
Question: During a two-week period, the price of an ounce of silver increased by 25 percent by the end of the first week and then decreased by 20 percent of this new price by the end of the second week. If the price of silver was x dollars per ounce at the beginning of the two-week period, what was the price, in dollars per ounce, by the end of the period?
Options:
A)0.8x
B)0.95x
C)x
D)1.05x
E)1.25x
Rationale: The price by the end of the period = (x*1.25)*0.8 = x.
Answer: C.
Answer: C
Question: The cost per pound of milk powder and coffee were the same in June. In July, the price of coffee shot up by 200% and that of milk powder dropped by 60%. If in July, a mixture containing equal quantities of milk powder and coffee costs $5.10 for 3lbs, how much did a pound of milk powder cost in July?
Options:
A)$4
B)$0.4
C)$1
D)$3
E)$1.65
Rationale: Lets assume price of Coffee in June =100x
Price of Tea in June =100x
Price of Coffee in July = 300x (because of 200% increase in price)
Price of Tea in July = 40x (because of 60% Decrease in price)
Price of 1.5 pound of Coffee1.5 pound of Tea in July will be = 450x + 60x = 510x
As per question
510x= 5.10$
x = 0.01S
So the Price of Tea in July = 40x = 40 x 0.01 = 0.4$/pound
Answer B
Answer: B
Question: The security gate at a storage facility requires a four-digit lock code. If the lock code must consist only of digits from 1 through 7, inclusive, with no repeated digits, and the first and last digits of the code must be odd, how many lock codes are possible?
Options:
A)120
B)240
C)360
D)720
E)1440
Rationale: X-X-X-X-X --> there are 4 odd digits from 1 to 7, inclusive thus options for the first and the last X's are: 4-X-X-3. Other X's can take following values: 4-5-4-3 --> 4*5*4*3=240.
Answer: B.
Answer: B
Question: A can do a piece of work in 20days, and B can do it in 15days. How long will they take if both work together?
Options:
A)7days
B)8.6days
C)13days
D)5.6days
E)10days
Rationale: A+B can do the work in 20*15 / 20+15 = 20*15/35 = 8.6days
Answer is B
Answer: B
Question: The number of students in each section of a school is 24. After admitting new students, three new sections were started. Now, the total number of sections is 16 and there are 21 students in each section. The number of new students admitted is:
Options:
A)12
B)42
C)24
D)28
E)26
Rationale: Original number of sections = 16 - 3 = 13
Original number of students = 24 x 13 = 312
present number of students = 21 x 16 = 336
Number of new students admitted = 336 - 312 = 24
so the answer is option C) 24.
Answer: C
Question: Kelvin is expected to pay a total of $1968300 on his mortgage with his bank. He is expected to make an initial monthly payment of $150 after which his monthly payment will be triple the amount of the previous month. How many months will it take him to fully repay the mortgage?
Options:
A)10
B)13
C)10
D)9
E)11
Rationale: First payment--$150
Total amount to be repaid--$285000
First month payment--$150
Second month payment( triple the previous month payment)--$150*3=$300
Third month payment( triple the previous month payment)--$300*3=$900
Fourth month payment( triple the previous month payment)--$900*3=$2700
Fifth month payment( triple the previous month payment)--$2700*3=$8100
Sixth month payment( triple the previous month payment)--$8100*3=$24300
Seventh month payment( triple the previous month payment)--$24300*3=$72900
Eight month payment( triple the previous month payment)--$72900*3=$218700
Ninth month payment( triple the previous month payment)--$218700*3=$656100
Tenth month payment( triple the previous month payment)--$656100*3=$1968300
Answer is C
Answer: C
Question: What is 10-8+6-4+...+(-12)?
Options:
A) 8
B) 10
C) 12
D) 14
E) 16
Rationale: The expression considers all even numbers between 10 and -12 with alternate addition and subtraction of the numbers.
The numbers to be used are: 10, 8, 6, 4, 2, 0, -2, -4, -6, -8, -10, and -12
Now, the first term is positive and the next term is subtracted. So, the required expression becomes,
10 - 8 + 6 - 4 + 2 - 0 + (-2) - (-4) + (-6) - (-8) + (-10) - (-12)
= 10 - 8 + 6 - 4 + 2 - 0 - 2 + 4 - 6 + 8 - 10 + 12
= 42 - 30
= 12
Hence the correct answer choice is C.
Answer: C
Question: Bobby bought 3 shares, and which he sold for $96 each. If he had a profit of 20% on the sale of 2 of the shares each but a loss of 20% on the sale of the other share, then on the sale of both shares Bobby had...
Options:
A)a profit of 10
B)a profit of 8
C)a loss of 8
D)a loss of 10
E)neither a profit nor a loss
Rationale: Cost of the first stock: 96/1.2=80, so profit from it 96-80=16 == > 16*2 = 32 profit on 2 shares
Cost of the second stock: 96/0.8=120, so loss from it 96-120=-24
Overall profit 32-24=+8
Answer: B.
Answer: B
Question: Bhanu spends 30% of his income on petrol on scooter 21% of the remaining on house rent and the balance on food. If he spends Rs.300 on petrol then what is the expenditure on house rent?
Options:
A)2287
B)140
C)128
D)797
E)147
Rationale: Given 30% (Income ) = 300 ⇒⇒ Income = 1000
After having spent Rs.300 on petrol, he left with Rs.700.
His spending on house rent = 21% (700) = Rs.147
Answer:E
Answer: E
Question: A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After six months, C joined them with Rs.20,000. What will be A's share in the total profit of Rs.25,000 earned at the end of 2 years from the starting of the business?
Options:
A)Rs.7500
B)Rs.9000
C)Rs.9500
D)Rs.10,000
E)None
Rationale: Solution
A : B : C	=(20000×24):(15000×24):(20000×18)
=4 :3 :3
A's share	=Rs.(25000×4/10)
= Rs.1000.
Answer D
Answer: D
Question: If two projectiles are launched at the same moment from 1455 km apart and travel directly towards each other at 470 km per hour and 500 km per hour respectively, how many minutes will it take for them to meet?
Options:
A)90
B)85
C)80
D)75
E)70
Rationale: The projectiles travel a total of 970 km per hour.
The time to meet is 1455/970=1.5 hours = 90 minutes
The answer is A.
Answer: A
Question: Boy sells a book for Rs. 450 he gets a loss of 10 %, To gain 10 %, what should be the SP?
Options:
A)Rs.450
B)Rs.500
C)Rs.550
D)Rs.640
E)Rs.650
Rationale: Find Selling Price to gain 10 %.
Now, we are asked to find selling price to gain 10% profit.
Hint:
Selling Price =	(100 + Gain%)	× C.P.
100
Selling Price =	(100 + 10)	× 500
100
Selling Price =	(110)	× 500
100
Therefore, selling Price = Rs.550
C
Answer: C
Question: At a certain organisation, the number of male members went up by 15% in the year 2001 from year 2000, and the number of females members went down by 6% in the same time period. If the total membership at the organisation went up by 1.2% from the year 2000 to 2001, what was the ratio of male members to female members in the year 2000?
Options:
A)1:2
B)1:3
C)2:3
D)3:2
E)2:1
Rationale: men increase by 15% ==> 1.15M = males in 2001
women decrease by 6% ==> 0.94F = women in 2001
total employees increase by 1.2% ==> 1.012*(M + F) = total number of employees in 2001
Obviously
(males in 2001) + (females in 2001) = total number of employees in 2001
1.15M + 0.94F = 1.012*(M + F)
1.15M + 0.94F = 1.012M + 1.012F
1.15M - 1.012M = 1.012F - 0.94F
0.138M = 0.072F
M/F = (0.072)/(0.138) = 72/138 = 1/2
Answer =(A)
Answer: A
Question: In the first 25 overs of a cricket game, the run rate was only 5.4. What should be the run rate in the remaining 25 overs to reach the target of 400 runs?
Options:
A)16.5
B)13.2
C)10.6
D)11.2
E)7.25
Rationale: Required run rate = 400 - (5.4 x 25)	/25	=	265/25 = 10.6 Option C
Answer: C
Question: The president of a country and 4 other dignitaries are scheduled to sit in a row on the 5 chairs represented above. If the president must sit in the center chair, how many different seating arrangements are possible for the 5 people?
Options:
A)4
B)5
C)20
D)24
E)120
Rationale: If the president is sitting in the center, you only have 4 chairs left. There are 4 possibilities for 1st chair, 3 possibilities for 2nd chair, 2 possibilities for 3rd chair, and 1 for last chair. Multiply all those and you get 24.
ANS:D.
Answer: D