mathewhe/aqua_rat huggingface dataset:
Question: A bookseller has two display windows. She plans to display 5 new fiction books in the left window, and 3 new non-fiction books in the right window. Assuming she can put the four fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows?
(A) 24
(B) 72
(C) 720
(D) 336
(E) 420
Rationale: The left window will have permutations of the 5 fiction books, so the number of possibilities for that window is
permutations = 5! = (5)(4)(3)(2)(1) = 120
The right window will have permutations of the 3 non-fiction books, so the number of possibilities for that window is
permutations = 3! = (3)(2)(1) = 6
Any of the 24 displays of the left window could be combined with any of the 6 displays of the right window, so the total number of configurations is 120*6 = 720
Answer: C.
Answer: (C) 720
Question: From the starting point in a boat race, one competitor started to sail north at a speed of 1.1 Km/h, the other competitor started to sail west at a speed of 1.2 Km/h. What is the distance in Km between the two competitors after 5 hours?
(A) 8.1
(B) 12.
(C) 12.5.
(D) 14.
(E) 15.4.
Rationale: Both competitors are sailing making angle of 90 degrees.
After 5 hrs one competitor will cover a distance of = 1.1 *5= 5.5 KM
And, other competitor will cover a distance of = 1.2*5= 6KM
distance between them after 5 hrs = (5.5^2+ 6^2)^1/2= 8.1 KM
A is the answer
Answer: (A) 8.1
Question: The retirement plan for a company allows employees to invest in 10 different mutual funds. Six of the 10 funds grew by at least 10% over the last year. If Sam randomly selected 4 of the 10 funds, what is the probability W that 3 of Sam’s 4 funds grew by at least 10% over last year?
(A)  6C3 / 10C4
(B)  6C3 * 4C1 / 10C4
(C)  6C3 * 4C1 / 10P4
(D)  6P3 * 4P1 / 10C4
(E)  6P3 * 4P1 / 10P4
Rationale: Look at the answers. B is the only answer choice that uses only combination formulas and takes into account all the factors.
We know this is a combination, not a permutation. This rules out choices C, DE.
A clearly isn't the answer because W=6C3 only accounts for 3 of the funds he chose. 10C4, the denominator, is correct, so the numerator must be wrong.
B it is.
Answer: (B)  6C3 * 4C1 / 10C4
Question: D, B, C are three consecutive positive integers (D>B>C). What is the value of the expression 2D +B +3C?
(A) 6A+7.
(B) 5A+1.
(C) 5A-1.
(D) 6A-5.
(E) 6D-7.
Rationale: => D+D+(D-1)+3(D-2)
=6D-7=E
Answer: (E) 6D-7.
Question: A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 2 employees to 5 different offices?
(A) 5
(B) 6
(C) 7
(D) 25
(E) 9
Rationale: Ans. Each employee can go into any of the two offices. Thus we have
=> 5 * 5 = 25
Answer : D
Answer: (D) 25
Question: The length of a train and that of a platform are equal. If with a speed of 36 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
(A) 752
(B) 799
(C) 300
(D) 750
(E) 712
Rationale: Speed = [36 * 5/18] m/sec = 10 m/sec; Time = 1 min. = 60 sec.
Let the length of the train and that of the platform be x meters.
Then, 2x/60 = 10 Ã¨ x = 10 * 60 / 2 = 300
Answer: C
Answer: (C) 300
Question: The operation # is defined for all nonzero f and y by f#y = f + f/y. If a>0, then 1#(1#a) =
(A) a
(B) a+1
(C) a/(a+1)
(D) (a+2)/(a+1)
(E) (2a+1)/(a+1)
Rationale: f#y = f + f/y. If a>0, then 1#(1#a) =
You can see that a stands for y and 1 stands for f. I like to work with numbers so I did f=1 a=2 and a=y so y=2
1#a= 1+(1/2)=1.5 so now a is 1.5 --> 1+(1/1.5)=1 2/3 = 5/3
So now you can check by filling in a, which is 2:
A. a --> 2
B. a+1 --> 2+1=3
C. a/(a+1)-->2/(2+1)=2/3
D. (a+2)/(a+1)-->(2+2)/(2+1)=4/3
E. (2a+1)/(a+1)-->(2*2+1)/(2+1)=5/3
So E is the answer.
Answer: (E) (2a+1)/(a+1)
Question: The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 10 months, find for how much time did Q invest the money?
(A) 11
(B) 10
(C) 20
(D) 16
(E) 12
Rationale: 7*5: 10*x = 7:10
x = 20
Answer:C
Answer: (C) 20
Question: In triangle PQR, the angle Q = 90 degree, PQ = 4 cm, QR = 8 cm. X is a variable point on PQ. The line through X parallel to QR, intersects PR at Y and the line through Y, parallel to PQ, intersects QR at Z. Find the least possible length of XZ
(A) 1.2 cm
(B) 2.4 cm
(C) 4.8 cm
(D) 2.16 cm
(E) 3.2 cm
Rationale: Look at the diagram below:
Now, in case when QY is perpendicular to PR, two right triangles PQR and PQY are similar: QY:QP=QR:PR --> QY:4=8:10 --> QY=3.2.
Answer: E
Answer: (E) 3.2 cm
Question: Insert the missing number
..., 4, 8, 16, 32, 64, 128, 256
(A) 6
(B) 5
(C) 2
(D) 3
(E) 8
Rationale: series is 2* Previous Number.
ANSWER:C
Answer: (C) 2
Question: 20 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :
(A) 33.33
(B) 34.01
(C) 26.32
(D) 28.33
(E) 19.21
Rationale: Explanation:
Let the two parts be (20 - x) and x.
Then, 10 (20 - x) + 22x = 780
=> 12x = 580
=> x = 48.33.
Bigger part = (20 - x) = 28.33.
Answer: D) 28.3
Answer: (D) 28.33
Question: Mixture V is 20% oil and 80% material B by weight. If 2 more kilograms of oil are added to the 8 kilograms mixture V, how many kilograms of mixture V must be added to make a 70% material B in the new mixture?
(A) A)6
(B) B)7
(C) C)8
(D) D)9
(E) E)10
Rationale: Can be done with weighted avg method.
if 2 kg more of oil is added to 20% oil of 8 kg mix,then a 10kg of mix will have 3.6kg (or 36%) of oil .
V1=20(initial mix.)
Avg. is what we need..ie 70% of material B means 30% of oil
V2=36(36% of 10 kg mix)
w1/w2=(V2-Avg)/(Avg-V1)
(36-30)/(30-20)
6/10
means for every 10 kg of new mix. we need 6 kg of mix V
Ans A
Answer: (A) A)6
Question: Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?
(A) 12, 9
(B) 10, 5
(C) 12, 7
(D) 11, 6
(E) 14, 3
Rationale: Explanation:
x – y = 5
4x – 6y = 6
x = 12 y = 7
ANSWER IS C
Answer: (C) 12, 7
Question: Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?
(A) 5 : 1
(B) 10 : 5
(C) 15 : 2
(D) 20 : 2
(E) 25 : 2
Rationale: Ratio of US to Indian stamps is 5:2
U/I = 5:2
= 25:10
ratio of Indian to British stamps is 5 : 1
I/B = 5:1
=10:2
Now , Ratio of US to British stamps
U/B = 25:2
Answer E
Answer: (E) 25 : 2
Question: What is the next number of the following sequence
1,3,4,5,1,9,16...
(A) 14
(B) 25
(C) 16
(D) 17
(E) 18
Rationale: (1, 3 ,4,5) (1, 9, 16, x)
square of 1st group gives 2nd group
1^2 = 1
3^2 = 9
4^2 = 16
5^2 = 25
ANSWER:B
Answer: (B) 25
Question: If a certain sample of data has a mean of 22.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean?
(A) 12.0
(B) 13.5
(C) 14.5
(D) 23.5
(E) 26.5
Rationale: The standard deviation is 3. 2.5 standard deviations, which is just 2.5 x 3.0 is 7.5. The only answer more than 7.5 away from the mean is C.
Answer: (C) 14.5
Question: It takes John exactly 30 minutes to rake a lawn and it takes his son Todd exactly 60 minutes to rake the same lawn. If John and Todd decide to rake the lawn together, and both work at the same rate that they did previously, how many minutes will it take them to rake the lawn
(A) 16
(B) 90
(C) 36
(D) 45
(E) 20
Rationale: 1)POE- John takes 30 min so if he takes help of someone else, it has to be less than 30 min..
only A and B are left..
if both do the work in 30 mis each, the combined time will be 15 mins, so 16 is slightly less when the other person does in 60 mins..
ans 20 E
Answer: (E) 20
Question: If x≠2 and (x^2 - 4)/(2y) = (x - 2)/4, then in terms of y, x = ?
(A) (y - 6)/2
(B) (y - 3)/2
(C) (y - 4)/2
(D) y - 6
(E) (y + 6)/2
Rationale: Since (x^2 – 4)=(x-2)(x+2) the original equation can be changed into 4*(x-2)(x+2) = 2y *(x-2).
By cancelling 2(x-2) (we can do it because x≠2) we get :
2*(x+2)=y.
So x=(y-4)/2. So the answer is C).
Answer: (C) (y - 4)/2
Question: A man buys 54 pens at marked price of 46 pens from a whole seller. If he sells these pens giving a discount of 1% , what is the profit percent?
(A) 7.6 %
(B) 7.7 %
(C) 16.21 %
(D) 13.6 %
(E) 7.8 %
Rationale: Explanation:
Let Marked price be Re. 1 each
C.P. of 54 pens = Rs. 46
S.P. of 54 pens = 99% of Rs. 54= Rs. 53.46
Profit % = (Profit /C.P.) x 100
Profit% = (7.46/46) x 100 = 16.21 %
ANSWER: C
Answer: (C) 16.21 %
Question: A motorist travel to a place 150 km away at an average speed of 60 km/hr and returns at 30 km/hr.His average speed for the whole journey in km/hr is
(A) 36 km/hr
(B) 37 km/hr
(C) 40 km/hr
(D) 44 km/hr
(E) None of these
Rationale: Explanation:
Average speed will be
2xy/x+y km/hr
= {2(60)(30)}/{60+30} km/hr
= 40 km/hr
Answer: Option C
Answer: (C) 40 km/hr
Question: Potatoes are made up of 99% water and 1% potato matter. Jack bought 100 pounds of potatoes and left them outside in the sun for a while. When he returned, he discovered that the potatoes had dehydrated and were now only made up of 98% water. How much did the potatoes now weigh?
(A) 50 lb
(B) 80 pounds
(C) 90 pounds
(D) 100 pounds
(E) 60 pounds
Rationale: initially water weigh 99 pounds & patato matter weigh 1 pound.
after dehydration
water = 98%
=> potato matter = 2% = 1 pound
100% = (1/2) * 100 = 50 pounds
So, potato now weigh 50 pounds.
ANSWER:A
Answer: (A) 50 lb
Question: A room of 6m 20cm long and 5m 74cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor.
(A) 88900
(B) 87700
(C) 88970
(D) 88000
(E) 89000
Rationale: Explanation:
area of the room = 620 * 574 sq cm
size of largest square tile = H.C.F of 620cm and 574cm= 2cm
area of 1 tile = 2*2 sq cm
no. of tiles required = (620*574) / (2* 2) = 88970
Answer: C) 88970
Answer: (C) 88970
Question: John has 5 flavors of chocolate in him shop. How many options are there for Jones to pick a one-flavor, two-flavor, three-flavor, four-flavor or five-flavor order?
(A) 22
(B) 31
(C) 43
(D) 37
(E) 38
Rationale: 5C1 + 5C2+ 5C3+5C4+5C5 = 31.
Answer: B
Answer: (B) 31
Question: A movie buff owns movies on DVD and on Blu-ray in a ratio of 7:2. If she buys 5 more Blu-ray movies, that ratio would change to 13:4. If she owns movies on no other medium, what was the original number of movies in her library before the extra purchase?
(A) 22
(B) 28
(C) 77
(D) 99
(E) 351
Rationale: if u can just keep an eye on the options
99 is the only multiple of 9 in options given .. SO you can mark it wid in seconds.
Now coming to the process m(D) = 7x and b(D) = 2x
now from the next line the new eqn becomes 7x/ (2x + 6) = 13/4
Solving it 28x = 26x + 78
x =39
which means m (d) = 273 and b(d) = 78
SO total initially is m(d) + b(d) = 351
E
Answer: (E) 351
Question: A car covers a distance of 630 km in 6 ½ hours. Find its speed?
(A) 105 kmph
(B) 176 kmph
(C) 298 kmph
(D) 186 kmph
(E) 268 kmph
Rationale: 630/6
= 105 kmph
Answer:A
Answer: (A) 105 kmph
Question: What will be the compound interest on Rs. 35000 after 3 years at the rate of 12 % per annum
(A) Rs 13123.20
(B) Rs 14103.48
(C) Rs 12172.48
(D) Rs 14172.48
(E) None of these
Rationale: Explanation:
(35000×(1+12/100)3)
=>35000×28/25×28/25×28/25
=>49172.48
So Compound interest will be 49172.48 - 35000
= Rs 14172.48
Option D
Answer: (D) Rs 14172.48
Question: If X boxes of mango juice cost 250 cents, how much will Y boxes cost in dollars?
(A) Y*2/x
(B) Y*2.6/x
(C) 2Y*2.5/x
(D) Y*2.5/x
(E) 3Y*2.5/x
Rationale: X boxes of mango juice cost 250 cents or 2.5 dollars.
cost of mango juice = 2.5/x
Cost of Y mango juices = Y*2.5/x
Hence Answer : D
Answer: (D) Y*2.5/x
Question: root X+3=X root X+3 how many solution???
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Rationale: root(x+3)=x root(x+3)
=>square both side
=>x+3=x2(x+3)
=>(x+3)(x2-1)
=>(x+3)(x+1)(x-1)
hence 3 solution is there
ANSWER:C
Answer: (C) 3
Question: If xy=25, x/y=36, for positive numbers x and y, y=?
(A) 1/2
(B) 2
(C) 1/3
(D) 3
(E) 5/6
Rationale: Very easy question. 2 variables and 2 easy equations.
xy=25 ---> x=25/y - (i)
x/y=36 ---> replacing (i) here ---> 25/(y^2)=36 ---> y^2=25/36---> y=5/6 or -5/6
The question states that x and y are positive integers. Therefore, y=5/6 is the answer.
Answer E.
Answer: (E) 5/6
Question: Find the middle one when The sum of three consecutive even numbers is 36?
(A) 10
(B) 12
(C) 14
(D) 16
(E) 19
Rationale: 3 consecutive numbers can be a - 1, a, a + 1
So sum of numbers = 3a = 36.
Hence a = 12.
B
Answer: (B) 12
Question: Five kids were sharing out a box of candies. Amar took one-third, Babu took one-quarter,Chetan took one-fifth, and Dinakar took one-sixth. That left six candies as Shiva's share. Howmany candies were altogether?
(A) 100
(B) 120
(C) 140
(D) 160
(E) 180
Rationale: let the total no of candies in a box= x
then aman took=x/3
babu took=x/4 and chetan took = x/5 and the remaining should be shiva's share
then
x-(x/3+x/4+x/5+x/6) =6 i.e 3x/60=6
therefore x=120
ANSWER:B
Answer: (B) 120
Question: Suresh borrowed some money at the rate of 12% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of 11 years is Rs.8160, how much money did he borrow?
(A) s.8500
(B) s.6000
(C) s.6800
(D) s.9000
(E) s.7000
Rationale: using the formula S.I=P*T*R/100
(x*12*3/100)+(x*9*5/100)+(x*13*3/100)=8160
x=6800
i.e money borrowed is Rs.6800
ANSWER:C
Answer: (C) s.6800
Question: a batmans runs just before the last match of the season adds up750 in his last two innings his scores only 6 scores and his avg drop by 2 fond his final avg of the season?
(A) 21
(B) 22
(C) 23
(D) 24
(E) 25
Rationale: Formula for this question is
6 = 2*avg-2(N+2)
6 = 2*(750/n) - 2(n+2)
n*n+5n-750 = 0
n= 25
so final ans 23
ANSWER:C
Answer: (C) 23
Question: What is the sum of the different positive prime factors of 880?
(A) 5
(B) 10
(C) 15
(D) 18
(E) 21
Rationale: Prime factorization of 880
=88 * 10
=8*11 * 10
=2*4 * 2*5 * 11
=2* 2*2 * 2*5 * 11
=2^4 * 5 * 11
Sum of the different positive prime factors of 880 = 2+5+11
=18
Answer D
Answer: (D) 18
Question: There are two positive numbers in the ratio 7:11. If the larger number exceeds the smaller by 16, then find the smaller number?
(A) 25
(B) 26
(C) 30
(D) 24
(E) 28
Rationale: Let the two positive numbers be 7x and 11x respectively.
11x - 7x = 16
4x = 16 => x = 4
=> Smaller number = 7x = 28.
Answer: E
Answer: (E) 28
Question: If x is divisible by 3 and 4, which of the following must divide evenly into x?
I. 2
II. 38
III. 41
(A) I only
(B) I and II
(C) II​ and III
(D) II​ only
(E) I, II, and III
Rationale: If x is divisible by 3,4 means it will be = or > 12, 24,48 etc...
That are not divisible by 38, 41.
So, the answer is A
Answer: (A) I only
Question: X can give Y 100 meters start and Z 200 meters start in X kilometer race. How much start can Y give Z in X kilometer race?
(A) 112.2m
(B) 216.3m
(C) 111.12m
(D) 213.27m
(E) 222.40m
Rationale: C
111.12 m
X runs 1000 m while Y runs 900 m and Z runs 800 m.
The number of meters that Z runs when Y runs 1000 m,
= (1000 * 800)/900 = 8000/9 = 888.88 m.
Y can give Z = 1000 - 888.88 = 111.12 m.
Answer: (C) 111.12m
Question: Find the smallest number of 6 digits which is exactly divisible by 111.
(A) 100011
(B) 111111
(C) 101111
(D) 201111
(E) 211111
Rationale: Smallest number of 6 digits is 100000.
On dividing 100000 by 111, we get 100 as remainder.
Number to be added = (111 - 100) - 11.
Hence, required number = 100011
Option A
Answer: (A) 100011
Question: What is the product of all the possible values of x if x^2+5x+6?
(A) 12
(B) 18
(C) 15
(D) 6
(E) 9
Rationale: Explanation:
=> y= x^2+5x+6
=> y= (x+2) (x+3)
=> x= -2, x= -3
Product x = (-2)(-3) = 6
answer option 6
ANSWER:D
Answer: (D) 6
Question: A goods bullet train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 seconds. What is the length of the goods bullet train?
(A) 220m
(B) 250m
(C) 280m
(D) 210m
(E) 270m
Rationale: E
270m
Answer: (E) 270m
Question: If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 4650, C will receive
(A) 233
(B) 381
(C) 900
(D) 287
(E) 271
Rationale: Explanation:
Let 4A = 6B = 1OC = k. Then, A = k/4, B = k/6, and C =k/10 .
A : B :C = k/4 : k/6 : k/10 = 15 : 10 : 6.
Hence, C's share (4650 * 6/31) = Rs, 900.
Answer: C) Rs.900
Answer: (C) 900
Question: A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?
(A) 21 ½ days
(B) 22 ½ days
(C) 23 ½ days
(D) 12 ½ days
(E) None of these
Rationale: Explanation:
1/18 + 1/30 = 8/90 = 4/45
45/4 = 11 ¼ *2 = 22 ½ days
Answer: B
Answer: (B) 22 ½ days
Question: the average weight of four pigs is 15 kg.weight less than 16 kg is considered as under weight.what maximum no. of pig can be under weight.
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Rationale: sum of all four pigs weigh=60kg
it is possible that all four pigs are underweight.
because the average is 15kg which itself underweight.
answer E
Answer: (E) 4
Question: Which of the following must be non-negative?
(A) (a-0.9)(a-1)
(B) (a+1)(a-1)
(C) (a+0.9)(a+1)
(D) (a-0.9)(a-0.9)
(E) a(a+1)
Rationale: a^2+a
f'(a)=2a+1=0 => a=-1/2
f''(a) =2>0 => a= -1/2 is point of minima Putting this value in main equation we get -1/2 (-ve)
Option D
F(a)=(a - 0.9)^2
f'(a)= 2(a-0.9)=0 => a=0.9
f''(a)= 2>0 => a= 0.9 is point of minima. Putting in main equation we get 0 which is non negative.
Answer: D
Answer: (D) (a-0.9)(a-0.9)
Question: There are 10 baskets numbered from 1 to 10 and filled with apples. 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket. If there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process, how many apples were left in the end?
(A) 330
(B) 390
(C) 450
(D) 510
(E) 570
Rationale: Each child takes a total of 1+2+3+4+5+6+7+8+9+10 = 10*11/2 = 55 apples.
The total number of apples taken by 10 children is 10*55 = 550
The number of apples left in the end is 1000 - 550 = 450 apples.
The answer is C.
Answer: (C) 450
Question: Robert is travelling on his cycle andhas calculated to reach point A at 2 PM. if he travels at 10 kmph, he will reach there at 12Pm if he travels at 15 kmph. At what speed must he travel to reach A at 1 PM?
(A) 9 kmph
(B) 10 kmph
(C) 12 kmph
(D) 14 kmph
(E) 16 kmph
Rationale: Let the distance travelled by x km.
Then, x - x = 2
10 15
3x - 2x = 60
x = 60 km.
Time taken to travel 60 km at 10 km/hr = 60 hrs = 6 hrs.
10
So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.
Required speed = 60 kmph. = 12 kmph.
5
C
Answer: (C) 12 kmph
Question: 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day should 4 pumps work in order to empty the tank in 1 day?
(A) 10
(B) 12
(C) 8
(D) 15
(E) 16
Rationale: Explanation :
Let the required hours needed be x
More pumps, less hours (Indirect proportion)
More Days, less hours (Indirect proportion)
⇒3 × 2 × 8 = 4 × 1 × x
⇒ 3 × 2 × 2 = x
⇒ x = 12 . Answer : Option B
Answer: (B) 12
Question: If n > 0 , which of the following must be true?
I n^2 < 1
II	n - n^2 < 0
III	2n - 1 < 0
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) none
Rationale: I. False for all values of n except 1
When n = 1 ; n^2 = 1
II. True for all values of n except 1
When n = 1 ; n - n^2 = 1 - 1 =>0
III	False for all values of n
Hence the correct answer will be (B)
Answer: (B) II only
Question: A certain junior class has 1000 students and a certain senior class has 900 students. Among these students, there are 60 siblings pairs each consisting of 1 junior and 1 senior. If 1 student is to be selected at random from each class, what is the probability that the 2 students selected will be a sibling pair?
(A) 3/40000
(B) 2/30000
(C) 9/2000
(D) 1/60
(E) 1/15
Rationale: Let's see
Pick 60/1000 first
Then we can only pick 1 other pair from the 800
So total will be 60 / 900 *1000
Simplify and you get 2/30000
Answer is B
Answer: (B) 2/30000
Question: What is the probability that Company E's advertisement will be one of the first two be shown during the first commercial break?
(A)  1/ 225
(B)  1 / 30
(C)  1 /15
(D)  2 / 15
(E)  4 /15
Rationale: E 1/15 + (14/15) * 1/14 = 2/15 D
Answer: (D)  2 / 15
Question: Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
(A) 11%
(B) 11 2/9%
(C) 11 1/9%
(D) 10%
(E) 9%
Rationale: 900 --- 100
100 --- ? => 11 1/9%
ANSWER:C
Answer: (C) 11 1/9%
Question: What will come in place of the x in the following Number series? 46080, 3840, 384, 48, 8, ?, 1
(A) 1
(B) 2
(C) 5
(D) 7
(E) 9
Rationale: 46080 /12 = 3840
3840 /10 = 384
384 /8 = 48
48 /6 = 8
8/4 = 2
2 /2 = 1
B
Answer: (B) 2
Question: The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. What is the time?
(A) 5 months
(B) 6 months
(C) 7 months
(D) 8 months
(E) 4 months
Rationale: Bankers Discount, BD = Simple Interest on the face value of the bill for unexpired time.
True Discount, TD = Simple Interest on the present value for unexpired time.
Simple Interest on Rs. 1600 = True Discount on Rs.1680
=> Rs. 1600 is the Present Worth (PW) of Rs. 1680
=> Rs. 80 is the Simple Interest of Rs.1600 at 15%
⇒80=(1600×T×15)/100
⇒80=16×T×15
⇒5=T×15
⇒1=T×3
⇒T=1/3 year
=12/3 months
=4 months
ANSWER:E
Answer: (E) 4 months
Question: When the positive integer x is divided by 9,the remainder is 5.What is the remainder when 8x is divided by 9?
(A) 0
(B) 1
(C) 3
(D) 4
(E) 6
Rationale: i tried plugging in numbers
x = 9q+5
x = 14
8x = 112
8x/9= 9*12+4
remainder is 4.
Answer is D.
Answer: (D) 4
Question: In how many ways Chief Minister and Minister be elected from a team of 12 members?
(A) 128
(B) 131
(C) 132
(D) 143
(E) 145
Rationale: To do this, if captain is elected first, then we have 12 ways of doing this.
For election of vice-captain, we have only 11 ways left, coz 1 way is already consumed. (Situations like this is called dependent situation. One selection depends upon other selection.)
So, the ans is 12*11 = 132 ways.
C
Answer: (C) 132
Question: Pipe A can fill a tank in 10 hours. Due to a leak at the bottom, it takes 15 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
(A) 76
(B) 84
(C) 56
(D) 75
(E) 30
Rationale: Let the leak can empty the full tank in x hours 1/10 - 1/x = 1/15
=> 1/x = 1/10 - 1/15 = (3 - 2)/30 = 1/30
=> x = 30.
Answer: E
Answer: (E) 30
Question: If 4 men can reap 40 acres of land in 15 days, how many acres of land can 16 men reap in 30 days?
(A) 320
(B) 240
(C) 369
(D) 489
(E) 125
Rationale: 4 men 40 acres 15 days
16 men ? 30 days
40 * 16/4 * 30/15
40 * 4 * 2
40 * 8 = 320
Answer:A
Answer: (A) 320
Question: Excluding stoppages, the speed of a bus is 48 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
(A) 5
(B) 4.15
(C) 4.25
(D) 5.5
(E) None of these
Rationale: Due to stoppages, it covers 314 km less.
Time taken to cover 3 km = ((3/48)Ã—60) =4.15 min.
Option(B) is correct
Answer: (B) 4.15
Question: A retailer bought a machine at a wholesale price of $117 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price of the machine?
(A) 81
(B) 100
(C) 120
(D) 135
(E) 159
Rationale: My solution: Wholesale Price= 117
Retail Price, be = x
He provides 10 % discount on Retail price= x-10 x/100
This Retail price = 20 % profit on Wholesale price
x-10 x/100 = 117+ 1/5(117)
x=156;
ANSWER:E
Answer: (E) 159