mathewhe/aqua_rat huggingface dataset:
Question: what is the integer among the following that represents a sum of 3 consecutive even integers?
(A) 200
(B) 303
(C) 400
(D) 554
(E) 588
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. 588A MULTIPLE OF BOTH 2 AND 3 SO THE CORRECT ANSWER!!!
Answer: (E) 588
Question: Two printing presses begin printing currency at the same time and at constant speeds. Press F produces 5-dollar bills at the rate of 1,000 bills per minute. Press T produces 20-dollar bills at the rate of 200 bills per minute. Once the machines have begun printing, how many seconds does it take for Press F to produce 50 dollars more currency than Press T?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Rationale: Press F produces $5 bills @1000 per minute(60 sec) so $500 in 6 secs
Press T produces $20 bills200per minute(60 sec) so $400 in 6 secs..
so we can see F produces $ 100 in 6 secs or will print $50 in 3 secs..
ans 3 secs..
B
Answer: (B) 3
Question: There is an increase of 30% in the production of milk chocolates in Amul Dairy in one month. If now it is 5,200 milk chocolates per month, what was it one month ago?
(A) 10,000 chocolates
(B) 9000 chocolates
(C) 4000 chocolates
(D) 7000 chocolates
(E) None of these
Rationale: Let one month ago, production be x chocolates.
Then, 130 % of x = 5200
⇒ x = 5200×100/130=4000 chocolates
Answer C
Answer: (C) 4000 chocolates
Question: If the numerator of a fraction Q is tripled, and the denominator of a fraction is doubled, the resulting fraction will reflect an increase of what percent?
(A) 16 1⁄6%
(B) 25%
(C) 33 1⁄3%
(D) 50%
(E) 66 2⁄3%
Rationale: This question can be dealt with conceptually or by TESTing VALUES.
We're told that the numerator of a fraction Q is tripled and the denominator of that same fraction is doubled. We're asked for the resulting increase, in percentage terms, of that fraction.
Let's TEST 2/1
If we triple the numerator and double the denominator, we end up with....
(2x3)/(1x2) = 6/2 = 3
Since we're increasing 2 to 3, we're increasing that fraction by (3-2)/2 = 1/2 of itself = 50%
D
Answer: (D) 50%
Question: The price of pulses has fallen by 22%. How many quintals can be bought for the same amount which was sufficient to buy 20 quintals at the higher price?
(A) 20
(B) 22.5
(C) 25.6
(D) 27.8
(E) 32.5
Rationale: 80% of original price can buy = 18 quintals.
Therefore, he can buy ( 20 x 100 )/ 78 = 25.6 quintals at the lower price.
ANSWER:C
Answer: (C) 25.6
Question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
(A) 450
(B) 200
(C) 250
(D) 300
(E) 350
Rationale: 10 * 150 = 1500
3 * 100 + 5 * 150 = 1050
1500 â€“ 1050 = 450
ANSWER A
Answer: (A) 450
Question: A certain series is defined by the following recursive rule: Sp=K(Sp-1) , where k is a constant. If the 1st term of this series is 64 and the 25th term is 192, wha is the 9th term?
(A) ROOT 2
(B) ROOT 3
(C) 64*ROOT 3
(D) 64*3^1/3
(E) 64*3^24
Rationale: Ans...D
No need for any GP formula here
The rule is that pth term is K times the (p-1)th term.
1st = 64
2nd = k.64
3rd = k^2.64
.
.
.
9th term = k^8 *64
.
.
.
so 25th = k^24*64
Using this solve for k and substitute k in the equation for the 9th term
Answer: (D) 64*3^1/3
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe oundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
(A) 123600 m
(B) 112600 m
(C) 153600 m
(D) 153500 m
(E) 154300 m
Rationale: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.
60
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1600 or x = 160.
Length = 480 m and Breadth = 320 m.
Area = (480 x 320) m2 = 153600 m
C
Answer: (C) 153600 m
Question: The difference between the place value and the face value of 6 in the numeral 856973 is
(A) 5994
(B) 6973
(C) 973
(D) 1000
(E) 7000
Rationale: (Place value of 6) - (Face value of 6) = (6000 - 6) = 5994
ANSWER A
Answer: (A) 5994
Question: Water is leaking out from a cylinder container at the rate of 0.31 m^3 per minute. After 10 minutes, the water level decreases 1/16 meters. What is value of the radius in meters?
(A) 1/4
(B) 2
(C) 4
(D) 8
(E) 12
Rationale: 10*0.31 = 3.1 = pi*R^2*h
R^2 = 3.1 / (pi*1/16) which is about 16
R = 4
The answer is C.
Answer: (C) 4
Question: Find the smallest number that should be multiplied with 54000 to make it a perfect cube.
(A) 4
(B) 5
(C) 6
(D) 3
(E) 7
Rationale: 54000 = 2^1 * 3^3 * 10^3
to make it ps * 2^2 or 4
ANSWER:A
Answer: (A) 4
Question: A factory produces 4340 toys per week. If the workers at this factory work 2 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
(A) 1375 toys
(B) 2170 toys
(C) 2375 toys
(D) 2175 toys
(E) 5375 toys
Rationale: To find the number of toys produced every day, we divide the total number of toys produced in one week (of 2 days) by 2.
4340 / 2 = 2170 toys
correct answer B
Answer: (B) 2170 toys
Question: If the terms of a series are either2or24and the sum of all the terms S of the series is 124, then which of the following could be the number of2sin the series?
(A) 26
(B) 29
(C) 35
(D) 40
(E) 48
Rationale: Ans: A
Solution: we are not certain how many 2 or 24 are there. but as given sum of all the terms is 124 means 24*5= 120 so number of 24 can't be more than 5
so S=24x +2y = 124
24*5 + 2y =124 then y=2
24*4 + 2y = 124 then y=14
24*3 +2y = 124 then y= 26
24*2 +2y =124 then y = 38
24 +2y = 124 then y= 50
26 is the ans.
Answer: (A) 26
Question: Two pipes A&B can fill a tank in 24 min and 32 min respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min.
(A) 8 min
(B) 3 min
(C) 21 min
(D) 23 min
(E) 24 min
Rationale: 3/4 tank is filled by A in 18 mins.
then balance 1/4 tank is filled by B in 32*1/4 = 8 mins.
ANSWER:A
Answer: (A) 8 min
Question: If x≠7 and (x^2 - 49)/(2y) = (x - 7)/4, then in terms of y, x = ?
(A) (y - 6)/2
(B) (y - 3)/2
(C) y - 3
(D) y - 6
(E) (y - 14)/2
Rationale: Since (x^2 – 49)=(x-7)(x+7) the original equation can be changed into 4*(x-7)(x+7) = 2y *(x-7).
By cancelling 2(x-7) (we can do it because x≠7) we get :
2*(x+7)=y.
So x=(y-14)/2. So the answer is E).
Answer: (E) (y - 14)/2
Question: The speed of a car is 50 km in the first hour and 60 km in the second hour. What is the average speed of the car?
(A) 79 kmph
(B) 85 kmph
(C) 55 kmph
(D) 23 kmph
(E) 14 kmph
Rationale: S = (55 + 60)/2
= 55 kmph
Answer:C
Answer: (C) 55 kmph
Question: (√27+√192)/√54=?
(A) 2√2
(B) 2√3
(C) 3√2
(D) 11/(3*√2)
(E) √2
Rationale: (√27+√192)/√54
=(3√3+8√3)/3√3*2
=11√3/3√3*2
=11/(3*√2)
=11/(3*√2).
Hence, the correct answer is D.
Answer: (D) 11/(3*√2)
Question: 300 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
(A) 10
(B) 12
(C) 14
(D) 16
(E) 17
Rationale: 26 trees have 25 gaps between them,
Required distance (300/25) = 12
B
Answer: (B) 12
Question: Line L passes through the points (-2,0) and (0,a). Line LL passes through the points (4,0) and (6,2). What value of a makes the two lines parallel?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Rationale: Find slopes first
Slope of L = (a - 0) / (0 - (-2)) = a / 2
Slope of LL = (2 - 0) / (6 - 4) = 1
For L and LL to be parallel, their slopes must be equal
a / 2 = 1 , a = 2
correct answer B
Answer: (B) 2
Question: A and B can do a piece of work in 6 days. With the help of C they finish the work in 4 days. C alone can do that piece of work in?
(A) 40 days
(B) 12 days
(C) 15 days
(D) 60 days
(E) 40 days
Rationale: B
12 days
C = 1/4 – 1/6 = 1/12 => 12 days
B
Answer: (B) 12 days
Question: The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
(A) 2 years
(B) 5 years
(C) 9 years
(D) 4 years
(E) 1 years
Rationale: 28 * 2 = 56
20 * 3 = 60
-----------
4 years
Answer:D
Answer: (D) 4 years
Question: Mohit sold an article for Rs. 18000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
(A) Rs. 15000
(B) Rs. 16200
(C) Rs. 14700
(D) Rs. 15900
(E) None of these
Rationale: Let the CP be Rs. x.
Had he offered 10% discount, profit = 8%
Profit = 8/100 x and hence his SP = x + 8/100 x = Rs. 1.08x = 18000 - 10/100(18000) = 18000 - 1800 = Rs. 16200
=> 1.08x = 16200
=> x = 15000
ANSWER:A
Answer: (A) Rs. 15000
Question: The owner of a local jewellery store hired three watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave 1/3 of the diamonds he had then, and 3 more besides. He escaped with 3 diamonds. How many did he steal originally?
(A) 198
(B) 199
(C) 200
(D) None of these
(E) Cannot be determined
Rationale: Explanation :
Since, thief escaped with 3 diamond,
Before 3rd watchman, he had ( 3 + 3 ) x 3 = 18 diamonds.
Before 2nd watchman, he had ( 18 + 3 ) x 3 = 63 diamonds.
Before 1st watchman, he had ( 63 + 3 ) x 3 = 198 diamonds.
Answer : A
Answer: (A) 198
Question: In how many different Q ways can 4 ladies and 4 gentlemen be seated at a round table so that all ladies sit together?
(A) 70
(B) 288
(C) 576
(D) 10,080
(E) 20,160
Rationale: Treat the 4 ladies as one object, now you have 5 objects to arrange around a table (m1,m2,m3,m4,women). This can be done in (5-1)! ways
And there are 4! ways to arrange ladies among themselves
Answer Q= (4!)^2 = 576 or C
Answer: (C) 576
Question: a' and 'b' are positive integers such that their LCM is 20 and their HCF is 1. What is the addition of the maximum and minimum possible values of 'a + b'?
(A) 21
(B) 34
(C) 30
(D) 25
(E) 12
Rationale: possible values of a and b can be 5,4; 4,5 (which are same for a+b) and 1,20; 20,1 (same result for a+b)
so 21+9=30 ans C
Answer: (C) 30
Question: On a map, 1 inch represents 28 miles. How many B inches would be necessary to represent a distance of 383.6 miles?
(A) 5.2
(B) 7.4
(C) 13.7
(D) 21.2
(E) 28.7
Rationale: B inches necessary to represent a distance of 383.6 miles = 383.6/28
= 13.7
Answer C
Answer: (C) 13.7
Question: Approximately how many revolutions will be made by a car tire with a 13-inch diameter if the car travels 1⁄2 mile?
(A) 120
(B) 180
(C) 772
(D) 720
(E) 1,440
Rationale: Diameter of car tire = 13 inches
Radius of car tire = 6.5 inches = 6.5*2.54 cm = 16.51 cm
Circumference of the car tire = 2*pi * 16.51 = 2 *3.14 *16.51= 103.68 cm
Distance traveled by car = .5 mile = .5 *1.6 km = .8 km = 800 m = 8 * 10^4 cm
Number of revolutions =Distance traveled / Circumference of tire = 8 * 10^4 / 103.68 = 771.60
Since the answer choices are far apart we should use estimation in this question .
Ideally ,in the GMAT the conversion between units would be provided .
Answer C
Answer: (C) 772
Question: On dividing a number by 68, we get 269 as quotient and 0 as remainder. On dividing the same number by 67, what will be the remainder?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Rationale: Number = 269 * 68 + 0 = 18292
67) 18292 (273
18291
--------
1
Required number = 1.
ANSWER:B
Answer: (B) 1
Question: A milkman sells his milk at CP but he mixes it with water and thereby gains 25%. What is the % of water in the mixture?
(A) 10%
(B) 15%
(C) 20%
(D) 25%
(E) 30%
Rationale: Here Gain= 25%
error = quantity of water he mixes in the milk =x
true value = true quantity of milk = T
So the formula becomes, 25=x(T−x)×100
⇒1=x(T−x)×4⇒T−x=4x⇒T=5x
Percentage of water in the mixture
=xT×100=x5x×100=15×100=20%
C
Answer: (C) 20%
Question: Jerome anticipated that the WebWeb.com stock price would fall and sold all his WebWeb.com stocks for $5 per stock. He paid $10,000 tax on the revenue. A week later, Jerome became convinced that the WebWeb.com stock price would rise, and he used the money that he had gotten from selling the WebWeb.com stocks to purchase them again, this time at $6 per stock. If Jerome ended up having 6000 WebWeb.com stocks fewer than the number he had before selling them, how many WebWeb.com stocks did he have originally?
(A) 10,000
(B) 11,600
(C) 12,000
(D) 14,000
(E) 16,000
Rationale: Let the number of shares be x.
5*x -10000(money paid in taxes) = 6(x- 6000)
Solving for x, we get the shares as 16000.
Ans :(Option E)
Answer: (E) 16,000
Question: There are 137 employees in Company X. If the number of employees who birth in June is the greatest, what is the least possible number of the employees in the company who birth in June?
(A) 10
(B) 11
(C) 12
(D) 13
(E) 15
Rationale: IMO 16
Take each answer choice and substract it from 137 and the divided this with 11.
E
Answer: (E) 15
Question: A broker invested her own money in the stock market. During the first year, she increased her stock market wealth by 90 percent. In the second year, largely as a result of a slump in the stock market, she suffered a 50 percent decrease in the value of her stock investments. What was the net increase or decrease on her overall stock investment wealth by the end of the second year?
(A) −5%
(B) 5%
(C) 15%
(D) 20%
(E) 80%
Rationale: The actual answer is obtained by multiplying 140% by 70% and subtracting 100% from this total. That is: 190% × 50% = 95%; 95% − 100% = -5%.
Answer: A
Answer: (A) −5%
Question: The average weight of 8 person's increases by 3.5 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person?
(A) 93 Kg
(B) 50 Kg
(C) 85 Kg
(D) 80 Kg
(E) 60 KG
Rationale: Explanation:
Total increase in weight = 8 Ã— 3.5 = 28
If x is the weight of the new person, total increase in weight = xâˆ’65
=> 28 = x - 65
=> x = 28 + 65 = 93
Answer: Option A
Answer: (A) 93 Kg
Question: Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
(A) 14
(B) 16
(C) 15
(D) 23
(E) 24
Rationale: Given, the preset ratio of the ages of Sameer and Anand is 5:4
Let Age of Sameer/5 = Age of Anand/4= x
Present age of Sameer = 5x
Present age of Anand = 4x
After 3 years,
Age of Sameer woud be 5x+3
Age of Anand woud be 4x+3
So (5x+3)/(4x+3)= 119
= x = 6
Hence age of Anand will be 6X4 = 24 years. ANSWER : E
Answer: (E) 24
Question: John bought Blue and Pink recorder for pupils in his music class in the ratio of 6:4. If 40% of the Blue recorder and 60% of the pink recorder were bought at half price, how many recorders did John buy at half price?
(A) 48%
(B) 52%
(C) 44%
(D) 46%
(E) 47%
Rationale: let total no of Recorder bought be 100, blue recorder 60 and pink recorder 40, so recorder bought at half price for both blue and pink recorder respectively 60* 40/100=24 and 40* 60/100=24
so total 48 recorders were bought at half price out of 100 blue and pink recorders..so required % is 48%
ANSWER:A
Answer: (A) 48%
Question: If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
(A) 4/5 km
(B) 4/9
(C) 4/6
(D) 4/2
(E) 4/1
Rationale: x/3 – x/4 = 4/60
x = 4/5 km
Answer: A
Answer: (A) 4/5 km
Question: Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 20 percent was planted with potato and 70 percent of the cleared land was planted with tomato. If the remaining 630 acres of cleared land was planted with corn, how many acres did the farmer own?
(A) 7000
(B) 6800
(C) 8000
(D) 5400
(E) 7100
Rationale: 20% od 90% = 18%, 70% 0f 90% = 63% so the remaining 90-18-63=9%=630 acres or 10% of 90%=9% --> 630/9*100=7000 acres Answer (A)
Answer: (A) 7000
Question: A customer asks the clerk for a paintbrush and a bucket of whitewash for a total price of B dollars. If the paintbrush costs 700 cents less than twice the price of a bucket of whitewash, what is the price of half a bucket of whitewash in dollars?
(A) (B + 200)/2.
(B) (B + 2)/6.
(C) (2B + 200)/3.
(D) (B + 2)/3.
(E) (B - 2)/6.
Rationale: P = 2w - 200
thus total price in cents as given should be
2w-200 +w = 100B
3w - 200 = 100 B
3w = 100 B+200
3w =b+2 (in dollars)
w/2 = (b+2)/6
Ans:C
Answer: (C) (2B + 200)/3.
Question: The Ultimate Boxwood Derby is coming up and two competitors are testing their model cars on the ultra long endurance track. Sandra launches her car, The Pink Lady, half a minute before Dee launches her car, Greased Lightning. The Pink Lady goes at 40 meters per minute and Greased Lightning goes 50 meters per minute. Where will Greased Lightning overtake The Pink Lady on this 50 meter long track?
(A) At the 30 meter mark
(B) At the 35 meter mark
(C) At the 40 meter mark
(D) At the 50 meter finish line!
(E) There is not enough room, The Pink Lady will win.
Rationale: Distance covered by The Pink Lady in 1/2 minute = 20 meters
Now, 10 meters is compensated in 1 minute, therefore 20 meters will be compensated in 2 minutes.
The Pink Lady will be at the 80 meter mark in 2 minutes.
So, Greased Lightning does not have room to overtake the Pink Lady on the track.
Correct Answer: E
Answer: (E) There is not enough room, The Pink Lady will win.
Question: TOM traveled the entire 60 miles trip. If he did the first 12 miles of at a constant rate 24 miles per hour and the remaining trip of at a constant rate 48 miles per hour, what is the his average speed, in miles per hour?
(A) 20mph
(B) 24mph
(C) 30mph
(D) 40mph
(E) 42mph
Rationale: avg speed = total distance/ total time = (d1+d2)/(t1+t2) = (12+48) / ((12/24)+(48/48)) = 60*2/3 = 40mph
D
Answer: (D) 40mph
Question: Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
(A) 299
(B) 476
(C) 277
(D) 268
(E) 982
Rationale: 3 1/2 * 8 1/2 = 1/4 * 1/4 * x => x
= 476
Answer:B
Answer: (B) 476
Question: If a train, travelling at a speed of 80 kmph, crosses a pole in 5 sec, then the length of train is?
(A) 110.111 m
(B) 121.111 m
(C) 111.11 m
(D) 141.111 m
(E) 181.111 m
Rationale: D = 80 * 5/18 * 5 = 111.11 m
ANSWER:C
Answer: (C) 111.11 m
Question: For each hour of production, a certain factory requires 1 assembly line worker for every 25 units to be produced in that hour. The factory also requires 8 managers regardless of the number of units to be produced. Which of the following expressions represents the total number of assembly line workers and managers that this factory requires to produce 50N in one hour, where N is a positive integer?
(A) 12 + 50N
(B) 12 + 2N
(C) 8 + 2N
(D) 37N
(E) 25
Rationale: 25 units = 1 worker;
50N units = 50N/25 = 2N workers.
So, the answer is 2N workers plus 8 managers.
Answer: C.
Answer: (C) 8 + 2N
Question: A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 15 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?
(A)  2,060
(B)  1,320
(C)  455
(D)  315
(E)  220
Rationale: 15*14*13/3*2*1 = 455
C
Answer: (C)  455
Question: A single discount equivalent to the discount series of 30%, 10% and 8% is?
(A) 31.8
(B) 42.04
(C) 31.6
(D) 31.2
(E) 31.9
Rationale: Explanation:
100*(70/100)*(90/100)*(92/100) = 57.96
100 - 57.96 = 42.04
Answer: B
Answer: (B) 42.04
Question: A rectangular box of volume V has width, depth and height in the ratio of 2:1:3 (in that order). What is the height as a function of V?
(A) (V/2)^(1/3)
(B) (2V/6)^(1/3)
(C) (9V/2)^(1/3)
(D) (4V/3)^(1/3)
(E) (4V/2)^(1/3)
Rationale: We are given width = 2, depth = 1, height = 3.
Then Volume V = Width x Depth x Height = 2*1*3 = 6
i.e. V = 6
The correct option should result in 3 (the height) on substituting the value of V=6.
Checking options with V=6:
A) (V/2)^(1/3) = (6/2)^(1/3) = 3^(1/3) INCORRECT ANSWER
B) (2V/6)^(1/3) = (12/6)^(1/3) = 2^(1/3) INCORRECT ANSWER
C) (9V/2)^(1/3) = (54/2)^(1/3) = 3 CORRECT ANSWER
D) (4V/3)^(1/3) = (24/3)^(1/3) = 8^(1/3) = 2 INCORRECT ANSWER
E) (4V/2)^(1/3) = (24/2)^(1/3) = 12^(1/3) INCORRECT ANSWER
Answer: Option C
Answer: (C) (9V/2)^(1/3)
Question: In expressing a length 810472 km as nearly as possible with three significant digits , find the percentage error.
(A) 0.34%
(B) 0.304%
(C) 30.4%
(D) 0.034%
(E) 3.40%
Rationale: Error = (81.5 – 81.472)km = 0.028.
Required percentage = [(0.028/81.472)*100]% = 0.034%.
ANSWER D 0.034%
Answer: (D) 0.034%
Question: The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person
(A) 15
(B) 20
(C) 25
(D) 30
(E) 28%
Rationale: Explanation:
Let's take the present age of the elder person = x
and the present age of the younger person = x – 16
(x – 6) = 3 (x-16-6)
=> x – 6 = 3x – 66
=> 2x = 60
=> x = 60/2 = 30
Option D
Answer: (D) 30
Question: Out of a total of 1,000 employees at a certain corporation, 52 percent are female and 40 percent of these females work in research. If 65 percent of the total number of employees work in research, how many male employees do NOT work in research?
(A)  520
(B)  480
(C)  392
(D)  208
(E)  38
Rationale: total number of female employees =52% =520
female employees working in research =(2/5)*520=208
Total no of employees working in research =65% =650
Total male employees =48%=480
male employees working in research =650-208=442
male employees not working in research =480-442=38
Answer E
Answer: (E)  38
Question: A shopkeeper sold an article offering a discount of 5% and earned a profit of 19.7%. What would have been the percentage of profit earned if no discount was offered?
(A) 60%
(B) 26%
(C) 30%
(D) 56%
(E) 73%
Rationale: Let C.P. be Rs. 100.
Then, S.P. = Rs. 19.70
Let marked price be Rs. x. Then, 95/100 x = 119.70
x = 11970/95 = Rs. 126
Now, S.P. = Rs. 126, C.P. = Rs. 100
Profit % = 26%.
Answer: B
Answer: (B) 26%
Question: If the speed of X meters per minute is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters)
(A) 15x/18
(B) 6x/5
(C) 18x/5
(D) 0.06x
(E) 3600000x
Rationale: x=1000y/60
y = 0.06x
Answer : D
Answer: (D) 0.06x
Question: If a number p is prime, and 2p+1 = q, where q is also prime, then the decimal expansion of 1/q will produce a decimal with q-1 digits. If this method produces a decimal with 166 digits, what is the units digit of the product of p and q
(A) 1
(B) 3
(C) 5
(D) 7
(E) 9
Rationale: 3/7 = 0.428571... (a repeating pattern one digit long)
B
Answer: (B) 3
Question: Two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 10 seconds. The length of the faster train is
(A) 225 m
(B) 100 m
(C) 120 m
(D) 180 m
(E) None
Rationale: Solution
Relative Speed	= (36 + 45) km/hr
= (81 x 5/18) m/sec
= (45/2) m/sec
Length of the train	= (45 / 2 x 10) m
= 225 m.
Answer A
Answer: (A) 225 m
Question: The simple interest on Rs.11000 at a certain rate of interest in five years is Rs.7200. Find the compound interest on the same amount for two years at the same rate of interest.
(A) 3068.82
(B) 3052.89
(C) 3052.85
(D) 3068.51
(E) 3068.81
Rationale: R = 100 I / PT
=> R = (100 * 7200)/ (11000 * 5) = 13.09%
CI = P{ [1 + R /100]n - 1}
= 11000 { [ 1 + 13.09 / 100]^2 - 1} = Rs.3068.51
Answer:D
Answer: (D) 3068.51
Question: Running at the same rate, 8 identical machines can produce 560 paperclips a minute. At this rate, how many paperclips could 15 machines produce in 6 minutes?
(A) 1344
(B) 6300
(C) 8400
(D) 50400
(E) 67200
Rationale: 8 machines produce 560 in 1 min
8 machines produce 560* 6 in 6 min
15 machine produce 560*6*(15/8) in 6 minutes
560*6*15/8=6300 answer is B.
Answer: (B) 6300