mathewhe/aqua_rat huggingface dataset:
Question: Mrs. Napier has 67 stickers to give to 9 students for a reward. How many
stickers will each student get? Will there be any stickers left over?
(A) 2-5
(B) 7-4
(C) 2-6
(D) 2-3
(E) 2-8
Rationale: 67/9 = 7 R 4 Mrs. Napier will give each student 7 stickers and there
will be 4 left over.
correct answer B
Answer: (B) 7-4
Question: Sekar started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs.10,000 and Rajeev joined him with an amount of Rs.35,000. In 2001, Sekar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000. What will be Rajeev's share in the profit of Rs.2,40,000 earned at the end of 3 years from the start of the business in 1999?
(A) Rs.45,000
(B) Rs.80,000
(C) Rs.70,000
(D) Rs.75,000
(E) none
Rationale: Solution
Sekar:Rajeev:Jatin=	(25000×12+35000×12+45000×12):(35000×24) : (35000×12)
= 1260000 : 840000 : 420000
= 3 : 2 : 1.
Rajeev's share	=Rs.(240000×2/6)
= Rs.80000.
Answer B
Answer: (B) Rs.80,000
Question: When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 5 times, what is the probability that it will land on either side all 5 times?
(A) 1/5
(B) 1/10
(C) 1/12
(D) 1/16
(E) 1/32
Rationale: Must be either 5 heads or 5 tails
1/2*1/2*1/2*1/2*1/2 + 1/2*1/2*1/2*1/2*1/2
1/32 + 1/32 = 1/16
Answer: D
Answer: (D) 1/16
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
(A) 30/16 hours
(B) 30/33 hours
(C) 38/13 hours
(D) 40/13 hours
(E) 30/13 hours
Rationale: Speed downstream = 20 + 6 = 26 kmph.
Time required to cover 60 km downstream = d/s = 60/26 = 30/13 hours.Answer:D
Answer: (D) 40/13 hours
Question: In a workshop there are 4 kinds of beds, 3 kinds of closets, 2 kinds of shelves and 3 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet?
(A) 168.
(B) 80.
(C) 56.
(D) 48.
(E) 16.
Rationale: Bed = Select 1 out of 4 = 4C1 = 4
Shelf = Select 1 out of 2 = 2C1= 2
Chair (3)+ Closet (3) = Total 6 = Select 1 out of 6 = 6C1
Possible combinations to chooseBED*SHELF*(CHAIR+CLOSET)=4*2*6=48 ways
ANSWER IS D
Answer: (D) 48.
Question: The rate of Interest on a sum of money is 2% p.a. for the first 3 years, 4% p.a. for the next 4 years, and 5% for the period beyond 7 years. If the S.I, Occured on the sum for the total period of 8 years is Rs. 540/-, the sum is
(A) 2,200
(B) 2,000
(C) 2,100
(D) 2,250
(E) 2,560
Rationale: Explanation:
I1 = (P x 3 x 2)/100 = 3P/50
I2 = (P x 4 x 4)/100 = 4P/25
I3 = (P x 1 x 5)/100 = P/20
3P/50 + 4P/25 + P/20 = 540
The L.C.M of 50, 25, 20 = 100
(6P + 16P + 5P)/100 = 540
27P/100 = 540
27P = 54000
P = 54000/27
P = 2000
Answer: Option B
Answer: (B) 2,000
Question: In the Street ,there are 60% of the population lived in the one side at the Beginning of the Year 2000 and the rest lived in the Other side. During the 2000 Year, the population of Street grew by 8%. If the population in the One grew by 4%, by how much did the population grow in the remaining side?
(A) 11.1%
(B) 16%
(C) 18.5%
(D) 13.6%
(E) 14%
Rationale: Ratio of population in City = East:West :: 60%:40% = 3:2
Mean growth = 8%
One side: 4%
Other side = ??
One-------------Average--------------Remaining
4 __(2n)_____8.0%_____(3n)_____??
Since:
4+2n=8
n=2
Therefore:
Other side=8+3n
Other=8+3(2)
That is the population grew in East Side of the town is 14%
Answer: (E) 14%
Question: If x is the interest on y and y is the interest on z, the rate and time is the same on both the cases. What is the relation between x, y and z?
(A) Y2 = XY
(B) Y2 = XX
(C) Y2 = XZ
(D) Y2 = YZ
(E) Y2 = YY
Rationale: X = (Y*NR)/100 Y = (Z*NR)/100
X/Y = NR/100 Y/Z = NR/100
X/Y = Y/Z
Y2 = XZ
Answer: C
Answer: (C) Y2 = XZ
Question: The floor of a rectangular room is 21 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :
(A) 124 m2
(B) 128 m2
(C) 138 m2
(D) 148 m2
(E) None of these
Rationale: Area of the outer rectangle = 25 Ã— 16 = 400 m2
Area of the inner rectangle = 21 Ã— 12 = 252 m2
Required area = (400 â€“ 252) = 148 m2
Answer D
Answer: (D) 148 m2
Question: A can do a piece of work in 15 days. A does the work for 5 days only and leaves the job. B does the remaining work in 3 days.In how many days B alone can do the work?
(A) 5days
(B) 7 days
(C) 12 days
(D) 4.5 days
(E) 10 days
Rationale: Explanation:
A’s 5 day work = 5*1/15=1/3
Remaining work = 1-1/3=2/3
B completes 2/3 work in 6 days
B alone can do in x days
2/3*x=3
X=4.5 days
Answer: Option D
Answer: (D) 4.5 days
Question: How many different five letter words can be formed (the words need not be meaningful) using the letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R?
(A) 59
(B) 11!/(2!*2!*2!)
(C) 56
(D) 23
(E) 11!/(3!*2!*2!*2!)
Rationale: E- -R
We are left with the following 11 letters: {M, D, I, T, R, EE, AA, NN} out of which 8 are distinct: {M, D, I, T, R, E, A, N}.
We should consider two cases:
1. If the two middle letters are the same, we'd have 3 words: EEER, EAAR and ENNR.
2. If the two middle letters are distinct, then we are basically choosing 2 letters out of 8 when the order of the selection matters, so it's 8P2 = 56.
Total = 56 + 3 = 56
Answer: C..
Answer: (C) 56
Question: what is the least number by which 25,725 must be divided to get a number perfect square
(A) 21
(B) 42
(C) 24
(D) 40
(E) 45
Rationale: 25,725/21=1,225
1,225=(35)^2
Ans-21
ANSWER:A
Answer: (A) 21
Question: During a special promotion, a certain filling station is offering a 10 percent discount on gas purchased after the first 6 gallons. If Kim purchased 20 gallons of gas, and Isabella purchased 25 gallons of gas, then Isabella‟s total per-gallon discount is what percent of Kim‟s total per-gallon discount?
(A) 80%
(B) 100%
(C) 109%
(D) 120%
(E) 140%
Rationale: Kim purchased 20 gallons of gas. She paid for 6 + 0.9*14 = 18.6 gallons, so the overall discount she got was 1.4/20 = 7%.
Isabella purchased 25 gallons of gas. She paid for 6 + 0.9*19 = 23.1 gallons, so the overall discount she got was 1.9/25 = 7.6%.
7.6 is 7.6/7*100 = 109% of 7.
Answer: C.
Answer: (C) 109%
Question: 8 identical machines, working alone and at their constant rates, take 6 hours to complete a job lot. How long would it take for 4 such machines to perform the same job?
(A) 2.25 hours
(B) 8.75 hours
(C) 12 hours
(D) 14.25 hours
(E) 16 hours
Rationale: Let each machine do 1 unit of work for 1 hour
8 machines --> 8 units of work in 1 hour
For 6 hours = 8*6 = 48 Units of total work is done.
Now this 48 Units of total work must be done by 4 machines
4 units of work(4 machines) ---> 1 hour
for 48 Units of work
4*12 ---> 1*12 hours
C 12 hours
Answer: (C) 12 hours
Question: In digging a pond 30m*20m*10m the volumes of soil extracted will be ?
(A) 6500 cu.m
(B) 5000 cu.m
(C) 6000 cu.m
(D) 5200 cu.m
(E) 7000 cu.m
Rationale: 30*20*10= 6000Answer :C
Answer: (C) 6000 cu.m
Question: How many terms are in the G.P. 3, 6, 12, 24, ......., 192 ?
(A) 8
(B) 9
(C) 67
(D) 7
(E) 2
Rationale: Explanation:
Here a = 3 and r = 6/3 = 2. Let the number of terms be n.
Then, t = 192 => a * r^(n-1) = 192
=> 3 * 2^(n-1) = 192 => 2^(n-1) = 64 = 2^(6)
=> n-1 = 6 => n = 7.
Answer: D
Answer: (D) 7
Question: (112 x 5^4) = ?
(A) 70000
(B) 80000
(C) 90000
(D) 90090
(E) 100000
Rationale: (112 x 54) = 112 x 10 4	=	112 x 104	=	1120000	= 70000
2	24	16
A)
Answer: (A) 70000
Question: Martin buys a pencil and a notebook for 80 cents. At the same store, Gloria buys a notebook and an eraser for 85 cents, and Zachary buys a pencil and an eraser for 45 cents. How many cents would it cost to buy three pencils, three notebooks, and three erasers? (Assume that there is no volume discount.)
(A) 300
(B) 315
(C) 330
(D) 345
(E) 360
Rationale: pencil + notebook = 80
notebook + eraser = 85
pencil + eraser = 45
Let's add all three equations.
2 pencils + 2 notebooks + 2 erasers = 210 cents
The cost to buy 3 of each would be (3/2)(210) = 315
The answer is B.
Answer: (B) 315
Question: A speed of 55 metres per second is the same as :
(A) 150.4 km/hr
(B) 155 km/hr
(C) 198 km/hr
(D) 168.5 km/hr
(E) None
Rationale: Sol.
55 m/sec = [55 * 18/5] km/hr = 198 km/hr.
Answer C
Answer: (C) 198 km/hr
Question: An investor receives a total combined return of 7% on his two different investments. On his $30,000 investment he receives a return of 6%. What is the return on his $20,000 investment?
(A) 7.25%
(B) 7.5%
(C) 8%
(D) 8.5%
(E) 9%
Rationale: 0.06 * 30000 + 20000x = 0.07(50000)
solving for x give x = 8.5%
option D
Answer: (D) 8.5%
Question: A person purchased a TV set for Rs. 2100 and a DVD player for Rs. 300. He sold both the items together for Rs. 3168. What percentage of profit did he make?
(A) 32%
(B) 96%
(C) 40%
(D) 75%
(E) 23%
Rationale: The total CP = Rs. 2100 + Rs. 300
= Rs. 2400 and SP = Rs. 3168
Profit(%)
= (3168 - 2400)/2400 * 100
= 32%
Answer: A
Answer: (A) 32%
Question: If A's height is 35% less than that of B, how much percent B's height is more than that of A?
(A) 66.66%
(B) 66.68%
(C) 53.84%
(D) 86.66%
(E) 66.65%
Rationale: Excess of B's height over A's = [(35/(100 - 35)] x 100%
= 53.84%
Answer: C)
Answer: (C) 53.84%
Question: The sum of four consecutive even numbers is 292. What would be the largest number?
(A) 33
(B) 88
(C) 76
(D) 123
(E) 12
Rationale: Let the four consecutive even numbers be 2(x - 2), 2(x - 1), 2x, 2(x + 1)
Their sum = 8x - 4 = 292 => x = 37
Smallest number is: 2(x +1) = 76.
Answer: C
Answer: (C) 76
Question: If P gets 25% more than Q, then by what percent does Q get less than P?
(A) 45
(B) 34
(C) 20
(D) 76
(E) 54
Rationale: Let Q get 1 unit.
25% of 1 unit = 1/4 = 0.25
P gets (1 + 0.25) i.e., 1.25 units.
Difference = (1.25 - 1) = 0.25
Required percentage = 0.25/1.25 * 100 = 1/5 * 100 =20
Answer:C
Answer: (C) 20
Question: In an engineering class that contained 125 students, the final exam consisted of 2 questions. Three fifths of the students answered the first question correctly. If four fifths of the remainder answered the second question correctly, how many students answered both questions incorrectly?
(A) 4
(B) 6
(C) 10
(D) 12
(E) 24
Rationale: 1st Question : Three fifths of the students answered the first question correctly - so 3/5âˆ—125=75
2nd Question : four fifths of the remainder answered the second question correctly so 4/5âˆ—(125âˆ’75)=4/5âˆ—50=40
total students who answered at least one Q correct =75+40=115
so students who answered BOTH incorrectly = 125âˆ’115=10
ANSWER:C
Answer: (C) 10
Question: Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is
(A) Rs 1650
(B) Rs 1750
(C) Rs 1850
(D) Rs 1950
(E) None of these
Rationale: Explanation:
C.I.=(4000×(1+10/100)2−4000)
=4000∗11/10∗11/10−4000=840
So S.I. = 840/2=420
So Sum = S.I.∗100/R∗T=420∗100/3∗8=Rs1750
Option B
Answer: (B) Rs 1750
Question: If a(a + 2) = 120 and b(b + 2) = 120, where a ≠ b, then a + b =
(A) -4
(B) -6
(C) -2
(D) -10
(E) -8
Rationale: i.e. if a = 10 then b = -12
or if a = -12 then b = 10
But in each case a+b = -12+10 = -2
Answer:C
Answer: (C) -2
Question: IF x is an integer greater than 6, then all the following must be divisible by 3 EXCEPT
(A) 9x/3
(B) 9x^2
(C) x(x+1)(x+2)
(D) x+1
(E) 3x^3
Rationale: *any number multiplied by 3, will be divided by 3
for option D if we put value x=7, 7+1=8 is not divisible by 3
Answer : E
Answer: (E) 3x^3
Question: In year Y imported machine tools accounted for 25 percent of total machine-tools sales in the United States, and Japanese imports accounted for 45 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?
(A) 9x/80
(B) 13x/20
(C) 80/9x
(D) 20x/13
(E) 80x/9
Rationale: Sales of imported tools = 25% of the total sales = 0.25*{total} = {total}/4;
Sales of Japanese tools = 45% of the sales of imported tools = 0.45*{total}/4 = 9/20*{total}/4 = 9*{total}/80.
Since the sales of of Japanese tools was x, then 9*{total}/80 = x --> {total} = 80x/9.
Answer: E.
Answer: (E) 80x/9
Question: The average of 11 numbers is 12.8. If the average of the first six numbers is 12.4 and that of the last six numbers is 12.2,then the middle number is?
(A) 7.8
(B) 7.9
(C) 7.1
(D) 7.2
(E) 6.8
Rationale: Middle number = 12.4*6 + 12.2*6 - 12.8*11 = 147.6-140.8=6.8
Answer is E
Answer: (E) 6.8
Question: 7 baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange themselves around the diamond?
(A) 4
(B) 6
(C) 16
(D) 24
(E) 720
Rationale: it is like a circular arrangement.
total ways for n people to arrange in a circle is = factorial (n-1)
in this case n= 7
hence ans = 6 factorial = 720
hence E
Answer: (E) 720
Question: From a pack of 52playing cards, 2cards are drawn togetherat random. Find the probability of both the cards being king?
(A) 2/218
(B) 1/213
(C) 1/221
(D) 2/215
(E) 3/315
Rationale: Two cards can be drawn from a pack of 52 playing cards in 52C2 ways. i,e., 52 x 51 / 2 = 1326 ways. The event that two kings appear in a single drawn of cards is 4C2 ways, i.e 6 ways.
∴ The probability that the two cards drawn from a pack of 52 cards are kings = 6/1326 = 1/221
C
Answer: (C) 1/221
Question: If the length of the sides of two cubes are in the ratio 5:1, what is the ratio of their total surface area?
(A) 5:1
(B) 10:1
(C) 25:1
(D) 50:1
(E) 150:1
Rationale: Let x be the length of the small cube's side.
The total surface area of the small cube is 6x^2.
The total surface area of the large cube is 6(5x)^2=150x^2.
The ratio of surface areas is 25:1.
The answer is C.
Answer: (C) 25:1
Question: In an election, candidate A got 85% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate?
(A) 355600
(B) 355800
(C) 404600
(D) 356800
(E) 357000
Rationale: Total number of invalid votes = 15 % of 560000
= 15/100 × 560000
= 8400000/100
= 84000
Total number of valid votes 560000 – 84000 = 476000
Percentage of votes polled in favour of candidate A = 85 %
Therefore, the number of valid votes polled in favour of candidate A = 85 % of 476000
= 85/100 × 476000
= 40460000/100
= 404600
C)
Answer: (C) 404600
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12400 after a year?
(A) 3630
(B) 2881
(C) 3720
(D) 9977
(E) 2212
Rationale: 6300:4200:10500
3:2:5
3/10 * 12400 = 3720.Answer: C
Answer: (C) 3720
Question: A 240 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
(A) 229
(B) 144
(C) 278
(D) 126
(E) 112
Rationale: S = 240/6 * 18/5 = 144 kmph
Answer: B
Answer: (B) 144
Question: m^n =2401
wat is m/n?
(A) 2.75
(B) 1.75
(C) 3.75
(D) 4.75
(E) 5.75
Rationale: m^n= 2401
7^4= 2401
here m= 7 and n=4
thus m/n= 7/4= 1.75
ANSWER:B
Answer: (B) 1.75
Question: A and B go around a circular track of length 100 m on a cycle at speeds of 18 kmph and 36 kmph. After how much time will they meet for the first time at the starting point?
(A) 120 sec
(B) 198 sec
(C) 178 sec
(D) 665 sec
(E) 20 sec
Rationale: Time taken to meet for the first time at the starting point
= LCM { length of the track / speed of A , length of the track / speed of B}
= LCM { 100/ (18 * 5/18) , 100/ (36 * 5 /18) }
= LCM (20, 10) = 20 sec.
Answer:E
Answer: (E) 20 sec
Question: The speed of a boat in still water in 22 km/hr and the rate of current is 4 km/hr. The distance travelled downstream in 24 minutes is:
(A) 10.6
(B) 10.2
(C) 10.8
(D) 10.4
(E) 10.0
Rationale: Speed downstream = (22 + 4) = 26 kmph
Time = 24 minutes =24/60 hour = 2/5 hour
Distance travelled = Time × speed =2/5×26 = 10.4 km
Answer is D.
Answer: (D) 10.4
Question: A company decreased the price of its main product by 25%. Subsequently, the number of units sold increased such that the total revenue remained unchanged. What was the ratio of the percent increase in the units sold to the percent decrease of the original price for this product?
(A) 2.0
(B) 4.0
(C) 5.0
(D) 6.0
(E) 8.0
Rationale: For the total revenue to remain the same when the price is one fourth, the number of products sold must four times. Therefore increase in the number of products sold is 100%
=> The required ratio = 100%/25% = 4.0
Answer : B
Answer: (B) 4.0
Question: A cheese factory sells its cheese in rectangular blocks. A normal block has a volume of 4 cubic feet. If a large block has twice the width, twice the depth, and twice the length of a normal block, what is the volume of cheese in a large block in cubic feet?
(A) 16
(B) 20
(C) 36
(D) 32
(E) 28
Rationale: Volume of cube=lbh=4
New cube l ,b, h are increases of 2l, 2b,2h
New volume of cube =2l*2b*2h=8*lbh
=8*4
=32
Answer: D
Answer: (D) 32
Question: If line L passes through point (m, n) and (– m, – n), where m and n are not 0, which of the following must be true?
I.	The slope of L is positive
II.	The slope of L is negative
III.	L exactly passes not through 2 quadrants
(A) I only
(B) II only
(C) III only
(D) None
(E) II and III only
Rationale: Let (m,n) = (2,3)
(-m,-n) = (-2,-3)
Slope = (3+3)/(2+2) = 6/4 = 3/2
So II may not be true
Let (m,n) = (2,-3) then (-m,-n) = (-2,3)
So slope = (3 +3)/(-2-2) = -3/2
so I may not be true
So such a line would be -> (y - 3) = 3/2(x - 2)
=> 2y - 6 = 3x - 6
=> 2y - 3x = 0, hence no x or y intercept, so it passes through origin.
III is not true.
Answer - D
Answer: (D) None
Question: Arithmetic mean and standard deviation of a certain normal distribution are 13.5 and 2. What value is exactly 2 standard deviations less than the mean?
(A)  9.5
(B)  11
(C)  11.5
(D)  12
(E)  12.5
Rationale: The value which is exactly two SD below the mean is: mean-2*SD=13.5-2*2=9.5.
Answer: A.
Answer: (A)  9.5
Question: There are 35 students in a hostel. If the no. of students increases by 3, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs 1. Find the original expenditure of the mess?
(A) s. 144.67
(B) s. 319.67
(C) s. 142.67
(D) s. 148.67
(E) s. 149.67
Rationale: Suppose the average join the mess , total expenditure = 35x + 42
Now, the average expenditure = (35x + 42)/ (35 + 3) = x – 1
or, 35x + 42 = 38x – 38
or, x = 26.67
Thus the original expenditure of the mess = 35 x 26.67 =933.33
1078-933.33 = Rs. 144.67
A
Answer: (A) s. 144.67
Question: A and B can together finish a work in 40days. They worked together for 10days and then B left. After another 21 days, A finished the remaining work. In how many days A alone can finish the job?
(A) 10
(B) 25
(C) 60
(D) 30
(E) 28
Rationale: A+B 10days work = 10*1/40 = 1/4
Remaining work = 1-1/4 = 3/4
3/4 work is done by A in 21 days
whole work will be done by A in 21*4/3 = 28 days
Answer is E
Answer: (E) 28
Question: If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same no. by 38
(A) 1
(B) 3
(C) 5
(D) 7
(E) 8
Rationale: P Ã· 44 = 432
=> P = 432 * 44 = 19008
P / 38 = 19008 / 38 = 500, remainder = 8
E
Answer: (E) 8
Question: What is the square root of 9?
(A) 1
(B) 3
(C) 2
(D) 4
(E) 9
Rationale: 3X3 = 9
ANSWER B
Answer: (B) 3
Question: Convert the 11/36 m/s into kilometers per hour?
(A) 2.9 kmph
(B) 1.1 kmph
(C) 1.3 kmph
(D) 1.2 kmph
(E) 5.7 kmph
Rationale: 11/36 m/s = 11/36 * 18/5 = 11/10
= 1.1 kmph.
Answer: B
Answer: (B) 1.1 kmph
Question: If in a certain code 3 * 4 = 25 and 6 * 8 = 100 then what is the value of 12 * 5?
(A) 144
(B) 169
(C) 154
(D) 178
(E) 214
Rationale: Solution: In this question the pattern * represents a code.
=> 3² + 4² = 25
=> 6² + 8² = 100
=> 12² + 5² = 169
ANSWER: B
Answer: (B) 169
Question: If x and d are both integers, x>d, and -x>19, then the largest value of d would be?
(A) -5
(B) -6
(C) -7
(D) -8
(E) -10
Rationale: No, your thinking is incorrect. When we know that x>d and x<-6.33, the largest value of x can be -7 while if x=-7, then largest value of d < -7 will be -8.For negative numbers, -7 > -8 and -8> -10.
You are right in saying that d can take any value less than -7 ---> d could be -8, -9, -10 .... and out of all these values, -8 is the greatest.
Look at the numbers on the number line. For any 2 numbers, the ones on the right are greater than the ones on the left:
.......-11 -10 -9 -8 -7 -6 -5 ..... 0 1 2 3 4 5 6 ... (-11< -10, -10< -8, 4< 5 etc).
So, as per the question if d<x and x = -7 , then d's largest 'possible' value has to be -8.
-10 is smaller than -8=D
Answer: (D) -8
Question: If A,B,C,D,E,F,G,H,I,J are in an decreasing Arithmetic Progression as such. Then Which of the following operations will result in both mean and the median being modified.
A) A is removed
B) E and F are removed
C) B and I are removed
D) A,B,C,H,I,J are removed
E) A and E are removed
(A) 1) A and E
(B) 2) A and C
(C) 3) A,C,E
(D) 4) All of them
(E) 5) None of them
Rationale: Here answer will be (A).
There are 10 equidistant numbers on the number line.
Mean and median will be the average of middle two numbers.
If you remove two numbers which is equidistant from either extreme (e.g. B and I), the total deviation on either side of the mean stays the same so mean stays the same. Also, the median is still the average of middle two numbers.
Answer: (A) 1) A and E
Question: Set S consists of integers {7, 8, 10, 12, 13}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 10%. What is the value of integer n?
(A) 10
(B) 12
(C) 16
(D) 22
(E) 24
Rationale: The average of the numbers in set S is 10.
If we increase the mean by 10%, the new mean is 11.
Thus, on average, 5 numbers increase by 1.
Therefore n = 11+5 = 16
The answer is C.
Answer: (C) 16
Question: If (4 - x)/(3 + x) = x, what is the value of x^2 + 4x - 4?
(A) -4
(B) -1
(C) 0
(D) 1
(E) 4
Rationale: (4-x) = x*(3+x)
(4-x) = 3x+x^2
0 = x^2+4x-4
The answer is C.
Answer: (C) 0
Question: Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:
(A) 50 m
(B) 72 m
(C) 80 m
(D) 82 m
(E) 92 m
Rationale: Let the length of each train be x metres.
Then, distance covered = 2x metres.
Relative speed = (46 - 36) km/hr
=(10 x(5/18)m/sec
=	(25/9)m/sec
(2x/36)	=	(25/9)
2x = 100
x = 50.
A
Answer: (A) 50 m
Question: Car A travels at three times the average speed of car B. Car A started to travel at 12:00 o'clock, car B started to travel at 16:00 o'clock. What is the speed of car B (in Km/h) if the total distance that both cars traveled until 18:00 was 5000 Km?
(A) 10.
(B) 250.
(C) 30.
(D) 38.
(E) 50.
Rationale: Total distance= Distance travelled by A +Distance travelled by car B
Distance= speed*time
Distance of A= 3x * 6
Distance of B= x*2
(3x * 6) + (x*2) = 5000
x= 250 KM/hr
B is the answer
Answer: (B) 250.
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?
(A) 5%
(B) 7%
(C) 9%
(D) 2%
(E) 4%
Rationale: 160 = (180*4*R)/100
R = 5%
Answer: A
Answer: (A) 5%
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 1000 more than D, what is B's share?
(A) 8239
(B) 2900
(C) 2000
(D) 2393
(E) 2009
Rationale: Let the shares of A, B, C and D be 5x, 2x, 4x and 3x Rs. respectively.
Then, 4x - 3x = 1000 => x = 1000.
B's share = Rs. 2x = 2 * 1000 = Rs. 2000.
Answer: C
Answer: (C) 2000
Question: A train 270 metres long is moving at a speed of 25 kmph. It will cross a man coming from the opposite direction at a speed of 2 km per hour in :
(A) 30 sec
(B) 32 sec
(C) 36 sec
(D) 38 sec
(E) 40 sec
Rationale: Relative speed = (25+2) km/hr = 27 km/hr
= (27×5/18) m/sec = 15/2 m/sec.
Time taken by the train to pass the man =(270×2/15) sec=36 sec
ANSWER :C
Answer: (C) 36 sec