mathewhe/aqua_rat huggingface dataset:
Question: The true discount on Rs.1600 due to after a certain of 5% per annum is Rs.160. The time after which it is due is
(A) 27 months
(B) 20 months
(C) 23 months
(D) 12 months
(E) 15 months
Rationale: P.W. = Rs. (1600 - 160) = Rs. 1440∴ S.I. on Rs.1440 at 5% is Rs. 160.∴ Time = [100 * 160 / 1440 * 5] = 20/9 years = [20/9 * 12] months = 27 months. Answer : A
Answer: (A) 27 months
Question: A student chose a number, multiplied it by 4, then subtracted 142 from the result and got 110. What was the number he chose?
(A) 58
(B) 59
(C) 60
(D) 62
(E) 63
Rationale: Let x be the number he chose, then
4⋅x−142=110
4x=252
x=63
correct answer E
Answer: (E) 63
Question: Ayesha's father was 31 years of age when she was born while her mother was 34 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
(A) 2 years
(B) 4 years
(C) 6 years
(D) 8 years
(E) 1 years
Rationale: Explanation:
Mother's age when Ayesha's brother was born = 34 years.
Father's age when Ayesha's brother was born = (31 + 4) years = 35 years.
Required difference = (35 - 34) years = 1 years.
Answer: E
Answer: (E) 1 years
Question: How many keystrokes are needed to type numbers from 1 to 100?
(A) 192
(B) 100
(C) 90
(D) 110
(E) None of these
Rationale: Explanatory Answer
While typing numbers from 1 to 100, there are 9 single digit numbers: from 1 to 9.
Each of these numbers requires one keystroke.
That is 9 key strokes.
There are 90 two-digit numbers: from 10 to 99.
Each of these numbers requires 2 keystrokes.
Therefore, 180 keystrokes to type the 2-digit numbers.
100 is a three-digit number which requires 3 keystrokes.
Totally, therefore, one requires 9 + 180 + 3 = 192 keystrokes.
Choice A is the correct answer.
Answer: (A) 192
Question: The average waight of A,B,C is 45 Kg. The avg wgt of A & B be 40Kg & that of B,C be 43Kg. Find the wgt of B.
(A) 34Kg
(B) 40Kg
(C) 42Kg
(D) 41Kg
(E) 31Kg
Rationale: . Let A,B,c represent their individual wgts.
Then,
A+B+C=(45*3)Kg=135Kg
A+B=(40*2)Kg=80Kg & B+C=(43*2)Kg=86Kg
B=(A+B)+(B+C)-(A+B+C)
=(80+86-135)Kg
=31Kg.
Answer is E.
Answer: (E) 31Kg
Question: Insert the missing number. 2, 7, 10, 22, 18, 37, 26, 52,
(A) 34
(B) 52
(C) 46
(D) 62
(E) 68
Rationale: Explanation :
There are two series here
2, 10, 18, 26, ... (Increase by 8)
7, 22, 37, 52 ... (Increase by 15)
Hence, next term is 26+8 = 34
Answer : Option A
Answer: (A) 34
Question: 2400÷20÷10=?
(A) 43
(B) 12
(C) 15
(D) 20
(E) 24
Rationale: 2400 ÷ 20 = 120
120 ÷ 10 = 12
Answer is B
Answer: (B) 12
Question: If a positive odd integer N has p positive factors, how many positive factors will 6N have ?
(A) p
(B) 2p
(C) P+1
(D) 2p+1
(E) Cannot be determined
Rationale: I have added some extra text to make this question more GMAT-like:
Let's TEST some values of N
Try N = 3
The factors of 3 are {1, 3}. Here, p =2
So, 2N = (2)(3) = 6
The factors of 6 are {1, 2, 3, 6}. So, we have a total of4
Now check the answer choices:
A) p =2No good. We want an output of4. ELIMINATE
B) 2p = (2)(2) = 4. PERFECT! KEEP B
C) P+1 =2+ 1 = 3 No good. We want an output of4. ELIMINATE
D) 2p+1 = (2)(2) + 1 = 5 No good. We want an output of4. ELIMINATE
E) Cannot be determined. POSSIBLE. KEEP E
Let's TEST another value of N
Try N = 7
The factors of 7 are {1, 7}. Here, p =2
So, 2N = (2)(7) = 14
The factors of 14 are {1, 2, 7, 14}. So, we have a total of4
Now check the REMAINING answer choices:
B) 2p = (2)(2) =4. PERFECT! KEEP B
E) Cannot be determined. POSSIBLE. KEEP E
Let's TEST one more (non-prime) value of N
Try N = 9
The factors of 9 are {1, 3, 9}. Here, p =3
So, 2N = (2)(9) = 18
The factors of 18 are {1, 2, 3, 6, 9}. So, we have a total of6
Now check the REMAINING answer choices:
B) 2p = (2)(3) =6. PERFECT! KEEP B
E) Cannot be determined. POSSIBLE. KEEP E
At this point, it SEEMS LIKELY that the correct answer is A
Answer: (A) p
Question: If x and y and z are two-digit integers such that x > 40, y<70, and z is > 80 and < 90, which of the following is closest to the maximum possible value of xyz ?
(A)  700
(B)  607,959
(C)  4,000
(D)  7,000
(E)  28,000
Rationale: To get the maximum possible value of xyz, we need maximize the value of x,y, and z.
max x can be = 99 (given x is a two-digit integer > 40)
max y can be = 69 (given y is a two-digit integer < 70)
max z can be = 89 (given z is a two-digit integer > 80 and < 90)
xy = 99*69*89 = 607,959
Answer (B)
Answer: (B)  607,959
Question: A certain lab experiments with white and brown mice only. In one experiment, 2/3 of the mice are white. If there are 12 brown mice in the experiment, how many mice in total are in the experiment?
(A) 39
(B) 33
(C) 26
(D) 21
(E) 36
Rationale: Let total number of mice = M
Number of white mice = 2/3 M
Number of brown mice = 1/3 M = 12
=> M = 36
Answer E
Answer: (E) 36
Question: The total of company C's assets in 1994 was 150% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of company C's assets in in 1992 was N dollars, which one of the following represents company C's assets in 1994:
(A) 7N
(B) 8N
(C) 9N
(D) 12.5
(E) 20
Rationale: Let's use actual numbers. Starting in 1992, let's say company C had $100 in assets.
In 1993, the total assets were 400% GREATER, which means 1992 PLUS 400% of 1992:
$100 + 4x$100 = $100 + $400 =$500
In 1994, the total assets were 150% GREATER than they were in 1993, which means 1993 PLUS 150% of 1993:
$500 + 1.5x$500 = $1250
This is 12.5 times the 1992 number, so the correct answer is 12.5N.
D
Answer: (D) 12.5
Question: A money lender finds that due to a fall in the annual rate of interest from 8% to 7 3/4 % his yearly income diminishes by Rs. 61.50, his capital is?
(A) 24,609
(B) 24,607
(C) 24,600
(D) 24,638
(E) 24,602
Rationale: Let the capital be Rs. x. Then,
(x * 8 * 1)/100 - (x * 31/4 * 1/100) = 61.50
32x - 31x = 6150 * 4
x = 24,600.
Answer:C
Answer: (C) 24,600
Question: Using all the letters of the word "THURSDAY", how many different words can be formed?
(A) 8
(B) 8!
(C) 7!
(D) 6
(E) 2
Rationale: Total number of letters = 8
Using these letters the number of 8 letters words formed is
⁸P₈ = 8!.
Answer:B
Answer: (B) 8!
Question: There are 15 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
(A) 272
(B) 167
(C) 157
(D) 352
(E) 380
Rationale: The total number of stations = 17
From 17 stations we have to choose any two stations and the direction of travel (i.e., Hyderabad to Bangalore is different from Bangalore to Hyderabad) in 17P₂ ways.
17P₂ = 17 * 16
= 272.
Answer: A
Answer: (A) 272
Question: What is the perimeter of a triangle with sides 7 and 3 that has the maximum possible area?
(A) 10 + 3√7
(B) 10 + 3√3
(C) 10 + √58
(D) 10 + √71
(E) 10 + √83
Rationale: We can maximize the area of the triangle by making these two sides the base and the height of a right angle triangle. Then the third side is the hypotenuse with a length of √(49+9) = √58
The perimeter is 10 + √58
The answer is C.
Answer: (C) 10 + √58
Question: Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph,
he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1
P.M.?
(A) 9 km/hour
(B) 10 km/hour
(C) 11 km/hour
(D) 12 km/hour
(E) None of these
Rationale: Explanation:
We need to calculate the distance, then we can calculate the Ɵme and finally our answer.
Lets solve this,
Let the distance travelled by x km
Time = Distance/Speed
x10−x15=2[because, 2 pm - 12 noon = 2
hours]3x−2x=60x=60.Time=DistanceSpeedTime@10km/hr=6010=6hours
So 2 P.M. - 6 = 8 A.M
Robert starts at 8 A.M.
He have to reach at 1 P.M. i.e, in 5 hours
So, Speed = 60/5 = 12 km/hr
Answer: D
Answer: (D) 12 km/hour
Question: If x and y are positive integers greater than 1 such that x – y and x/y are both even integers, which of the following numbers must be non-prime integers?
I. x
II. x + y
III. y/x
(A) I only
(B) II only
(C) III only
(D) I and II
(E) I, II and III
Rationale: x - y is an even integer: Therefore, for the equation to hold true, both x and y have to be even.
x/y is an even integer: Therefore, this implies that x has to be greater than y.
We can eliminate option III as y/x will never be an integer (Since x>y)
Statement I, x: x>y, hence x has to greater than 2 and even, therefore divisible by 2 and non-prime.
Statement II, x+y: x+y will be divisible by at least 2 since both x and y are even, hence the sum is non prime.
Thus, option D is the correct answer
Answer: (D) I and II
Question: If x is an integer, which of the following is a possible value of Q=(x^2 +2x – 7)/9?
(A) -2.4
(B) 0.268
(C) 1.166 repeating
(D) 4.555 repeating
(E) 8.125
Rationale: x is an integer, which of the following is a possible value of Q=(x^2 +2x – 7)/9?
Used process of elimination
A. -2.4
when this is multiplied by 9, x is not an integer
B. 0.268
when this is multiplied by 9, x is not an integer
C. 1.166 repeating
when this is multiplied by 9, x is not an integer
D. 4.555 repeating
E. 8.125
when this is multiplied by 9, x is not an integer
Answer choice D seems to fit.D
Answer: (D) 4.555 repeating
Question: In a partnership between A, B and C. A's capital is Rs.4000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
(A) 9400
(B) 12798
(C) 26908
(D) 11750
(E) 22073
Rationale: 200 + 130 = 330
800 - 330 = 470
200 ---- 4000
470 ---- ? => 9400
Answer: A
Answer: (A) 9400
Question: How many odd, positive divisors does 500 have?
(A) 6
(B) 5
(C) 12
(D) 15
(E) 24
Rationale: Make a prime factorization of a number: 540=2^2*3^3*5 --> get rid of powers of 2 as they give even factors --> you'll have 3^3*5 which has (3+1)(1+1)=5 factors.
Another example: 60=2^2*3*5 it has (2+1)(1+1)(1+1)=12 factors out of which (1+1)(1+1)=4 are odd: 1, 3, 5 and 15 the same # of odd factors as 60/2^2=15 has.
Answer: B.
Answer: (B) 5
Question: A vessel of capacity 3 litre has 25% of alcohol and another vessel of capacity 5 litre had 40% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture?
(A) 31%.
(B) 71%.
(C) 27.5%.
(D) 29%.
(E) 51%.
Rationale: 25% of 3 litres = 0.75 litres
40% of 5 litres = 2 litres
Therefore, total quantity of alcohol is 2.75 litres.
This mixture is in a 10 litre vessel. Hence, the concentration of alcohol in this 10 litre vessel is 27.5%
C
Answer: (C) 27.5%.
Question: A train consists of 12 boggies, each boggy 15 metres long. The train crosses a telegraph post in 18 seconds. Due to some problem, one boggies were detached. The train now crosses a telegraph post in
(A) 16.5 sec
(B) 12 sec
(C) 15 sec
(D) 20 sec
(E) None of these
Rationale: Length of train = 12 Ã— 15 = 180 m.
Then, speed of train = 180â„18 = 10 m/s
Now, length of train = 11 Ã— 15 = 165m
âˆ´ Required time = 165â„10 = 16.5 sec.
Answer A
Answer: (A) 16.5 sec
Question: The ratio of the ages of three people is 4:6:7. Eight years ago, the sum of their ages was 44. Find their present ages.
(A) 28,42,49
(B) 24,36,42
(C) 20, 30,35
(D) 16,24,28
(E) 12,18,21
Rationale: Let the present ages be 4x, 6x, 7x.
(4x-8) + (6x-8) + (7x-8) = 44
17x = 68
x = 4
Their present ages are 16, 24, and 28.
The answer is D.
Answer: (D) 16,24,28
Question: On a partly cloudy day, Derek decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integer) and when it gets cloudy, he increases his speed to (s + 1) miles/hr. If his average speed for the entire distance is 2.8 miles/hr, what fraction W of the total distance did he cover while the sun was shining on him?
(A) 1/4
(B) 4/5
(C) 1/5
(D) 1/6
(E) 1/7
Rationale: If s is an integer and we know that the average speed is 2.8, s must be = 2. That meanss+1= 3. This implies that the ratio of time for s=2 is 1/4 of the total time. The formula for distance/rate is D=Rt...so the distance travelled when s=2 is 2t. The distance travelled for s+1=3 is 3*4t or 12t. Therefore, total distance covered while the sun was shining over him is W=2/14 = 1/7. Answer: E
Answer: (E) 1/7
Question: ACME’s manufacturing costs for sets of horseshoes include a $12,450 initial outlay, and $20.75 per set. They can sell the sets $50. If profit is revenue from sales minus manufacturing costs, and the company producessells 950 sets of horseshoes, what was their profit?
(A) $15300
(B) $14300
(C) $15337.50
(D) $16300
(E) $15800
Rationale: Total Manufacturing cost = 12,450+950*20.75 = 32162.5
Total Selling cost = 950*50 = 47500
Profit = 47500-32162.50 = 15337.50
Answer : C
Answer: (C) $15337.50
Question: During a trip on an expressway, Don drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 30 miles per hour, and his average speed for the remainder of the trip was 40 miles per hour. His travel time for the x-mile trip was what percent greater than it would have been if he had traveled at a constant rate of 60 miles per hour for the entire trip?
(A) 400/x%
(B) 50%
(C) x/12%
(D) 60/x%
(E) 500/x%
Rationale: Say x = 5 miles (so no remainder of the trip).
Time to cover x = 5 miles at 30 miles per hour = (time) = (distance)/(rate) = 5/30 = 1/6 hours = 10 minutes.
Time to cover x = 5 miles at 60 miles per hour = (time) = (distance)/(rate) = 5/40 = 1/8 hours = 5 minutes.
(Or simply, half rate will result in doubling the time.)
So, we can see that the time to cover x = 4 miles at 30 miles per hour (10 minutes) is 100% greater than the time to cover x = 4 miles at 60 miles per hour (5 minutes).
Now, plug x = 4 miles into the answer choices to see which one yields 100%. Only answer E works.
Answer: A.
Answer: (A) 400/x%
Question: The area of a parallelogram is 98sq m and its altitude is twice the corresponding base. Then the length of the base is?
(A) 8
(B) 9
(C) 7
(D) 6
(E) 5
Rationale: 2x * x = 98 => x= 7
Answer: C
Answer: (C) 7
Question: A train 630 m long, running with a speed of 63 km/hr will pass a tree in?
(A) 35
(B) 36
(C) 37
(D) 38
(E) 39
Rationale: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 630 * 2/35 = 36 sec
Answer: Option B
Answer: (B) 36
Question: Buses A and B start from a common bus stop X. Bus A begins to travel in a straight line away from bus B at a constant rate of 30 miles per hour. One hour later, bus B begins to travel in a straight line in the exact opposite direction at a constant rate of 70 miles per hour. If both buses travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes bus B to cover the exact distance that bus A has covered and the amount of time it takes bus B to cover twice the distance that bus A has covered?
(A) 36
(B) 72
(C) 122
(D) 144
(E) 180
Rationale: 1st part: - In 1hr, Bus A covers 30 miles.
Relative speed of bus ABus B is (80-30) = 50mph.
So time required for Bus B to cover the exact distance as A is
50*t = 30
t=3/5 = 36min
2nd part
80*t=2d - B has to cover twice the distance
30*(t+1) = d - A traveled 1hr more and has to travel only only d
so
d/30 - 2d/80 = 1
D=120
T= 3hrs = 180 min
Question asks for +ve difference between part 1 and part 2 in minutes
= 180-36 = 122min
C
Answer: (C) 122
Question: total no. of players is 99 other than me.50 plays soccer,45 plays basket ball,50 play valley ball.15 play all three. How many will play only 2 games?
(A) 40
(B) 50
(C) 60
(D) 70
(E) 80
Rationale: let A=soccer players..B=basket ball players..C=vollyball players
n(A U B U C)=n(A) + n(B) + n(C) - n(A INTERSECTION B) - n(A INTERSECTION C) - n(C INTERSECTION B) + n(A INTERSECTION B - INTERSECTION C)
therefore..
100=50+45+50-intersections+15
hence..intersections=145-100+15=60 play only 2 games..
ANSWER:C
Answer: (C) 60
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
(A) 16 km/hr
(B) 50 km/hr
(C) 19 km/hr
(D) 15 km/hr
(E) 87 km/hr
Rationale: Speed of the train relative to man
= (125/10) m/sec
= (25/2) m/sec. [(25/2) * (18/5)] km/hr
= 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed
= (x - 5) km/hr. x - 5 = 45 ==> x
= 50 km/hr.
Answer: B
Answer: (B) 50 km/hr
Question: The speed of a car is 80 km in the first hour and 60 km in the second hour. What is the average speed of the car?
(A) 50 kmph
(B) 60 kmph
(C) 70 kmph
(D) 80 kmph
(E) 85 kmph
Rationale: S = (80 + 60)/2 = 70 kmph
ANSWER:C
Answer: (C) 70 kmph
Question: If the positive integer X is divisible by 3, 6, and 12, then which of the following must X be divisible by?
I. 12
II. 35
III. 46
(A) III
(B) II only
(C) I and II only
(D) II and III only
(E) I only
Rationale: Answer = E
LCM of 3, 6, 12 = 12
Answer = 12
Answer : E
Answer: (E) I only
Question: A monkey ascends a greased pole 22 meters high. He ascends 2 meters in the first minute and then slips down 1 meter in the alternate minute. If this pattern continues until he climbs the pole , in how many minutes would he reach at the top of the pole ?
(A) 40th minute
(B) 41st minute
(C) 43rd minute
(D) 42nd minute
(E) 45th minute
Rationale: The money is climbing 1meter in 2min. This pattern will go on till he reaches 20meters. I mean this will continue for first 20*2=40mins. he would have reached 20meters. After that he will climb 2meters and he will reach the pole. So total time taken = 40 + 1 = 41mins.
So, asnwer will be B
Answer: (B) 41st minute
Question: Raghav borrows Rs.2550 to be paid back with compound interest at the rate of 4% per annum by the end of 2 years in two equal yearly instalments. How much will each instalment be ?
(A) Rs.1275
(B) Rs.1283
(C) Rs.1352
(D) Rs.1377
(E) Rs.1577
Rationale: Let the value of each instalment be Rs.x.
x/(1+4/100) + x/(1+4/100)2 = 2550 = 25x/26 + 625x/676 = 2550
1275x = 2550 *676
x = (2550*676)/1275 = 1352.
ANSWER:C
Answer: (C) Rs.1352
Question: If the number 761 * 829 is completely divisible by 9, then the smallest whole number in place of * will b
(A) 4
(B) 5
(C) 3
(D) 8
(E) 9
Rationale: Sum of digits = (7 + 6 + 1 + x + 8 + 2 + 9) = (33 + x), which must be divisible by 9.
x = 3.
C)
Answer: (C) 3
Question: b.	Last Night lottery winning numbers followed this pattern: 25, 22, 20, 19, 16, 14, 13, 10, 8, 7, ? What is the last winning number?
(A) 6
(B) 3
(C) 4
(D) 5
(E) 7
Rationale: The sequence progresses -3, -2, -1 repeated; The last winning number is 4.
Ans C = 4
Answer: (C) 4
Question: Exactly 3/7 of the people in the room are under the age of 21, and exactly 5/12 of the people in the room are over the age of 65. If the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21?
(A) 21
(B) 35
(C) 36
(D) 60
(E) 65
Rationale: The total number of the people in the room must be a multiple of both 7 and 12 (in order 3/7 and 5/12 of the number to be an integer), thus the total number of the people must be a multiple of LCM of 7 and 12, which is 84.
Since, the total number of the people in the room is greater than 50 and less than 100, then there are 84 people in the room.
Therefore there are 3/7*84=36 people in the room under the age of 21.
Answer: C.
Answer: (C) 36
Question: The ratio of numbers is 5:6 and their H.C.F is 4. Their L.C.M is:
(A) 12
(B) 16
(C) 24
(D) 48
(E) 120
Rationale: Let the numbers be 5x and 6x.
Then their H.C.F = x. So, x = 4.
So, the numbers are 20 and 24.
L.C.M of 20 and 24 = 120.
ANSWER:E
Answer: (E) 120
Question: The number '7' is the prime followed by a cube.
Is there any other number sharing the same quality?
(A) No
(B) Yes
(C) May be
(D) None of above
(E) Do know
Rationale: A
No
7 is the only prime followed by a cube.
Assume that n3-1 is a prime for some n.
N3-1 will be equal to (n−1)(n2+n+1)
Now, n-1 divides n3-1.
If n-1>1, then we will have a contradiction to n3-1 being a prime.
Answer: (A) No
Question: A man sells an article at 15% loss. Had he sold it for Rs. 350/- more he could have gained 20%. What is the cost price of the article?
(A) Rs.420/-
(B) Rs.400/-
(C) Rs.460/-
(D) Rs.1000/-
(E) None of these
Rationale: Explanation:
Short cut method:
Loss =====> 15 %
Profit ====> 20 %
~
----------------
35 % ---------> Rs. 350/-
100 % --------> Rs. 1000/-
Answer: Option D
Answer: (D) Rs.1000/-
Question: If 20 men can build a wall 56 meters long in 6 days , what length of a similar wall can be built by 35 men in 3 days?
(A) 44
(B) 48
(C) 45
(D) 47
(E) 49
Rationale: Let the required length be x meters
More men, More length built (Direct proportion)
Less days, Less length built (Direct Proportion)
Men 20:35 and Days 6:3::56:x
Therefore (20 x 6 x (X))=(35 x 3 x 56)
x=(35x3x56)/120=49
Hence, the required length is 49 m.
Answer is E.
Answer: (E) 49
Question: X does a work in 20 days. Y does the same work in 30 days. In how many days they together will do the same work?
(A) 10
(B) 12
(C) 20
(D) 30
(E) 15
Rationale: X's 1day's work= 1/20
Y's 1 day's work=1/30
(X+Y)'s 1day's work= (1/20+1/30)=1/12
both together will finish the work in 12 days.
correct option is B
Answer: (B) 12
Question: The average age of a class is 15.8 years. The average age of the boys in the class is 16.4 years and that of the girls is 15.4 years. What is the ratio of boys to girls in the class?
(A) 1 : 2
(B) 3 : 4
(C) 2 : 3
(D) 3:2
(E) None of these
Rationale: Let number of boys = x ; Let number of girls = y
Total numbers of students = x + y
(x + y) × 15.8 = 16.4x + 15.4y
0.6x = 0.4y
x/y = 0.4/0.6 = 2/3
ANSWER:C
Answer: (C) 2 : 3
Question: Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 50 years. What will be the age of the B ten years hence?
(A) 39
(B) 23
(C) 28
(D) 96
(E) 100
Rationale: Let the present ages of A, B and C be a, b and c respectively.
Given, [(a - 5) + (b - 5)] / 2 = 40 => a + b = 90 --- (1)
(b + c)/2 = 50 => b + c = 100 --- (2)
Answer: E
Answer: (E) 100
Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?
(A) 1 : 3
(B) 2 : 3
(C) 1 : 2
(D) 3 : 2
(E) 1 : 4
Rationale: Let the principal be P and rate of interest be R%.
Required ratio =
(P x R x 6)/100 DIVIDED BY	(P x R x 9)/100
=	6PR/9PR	=	6/9	= 2 : 3.
ANSWER : B
100
9PR 9
Answer: (B) 2 : 3
Question: A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit?
(A) 2205
(B) 2888
(C) 2669
(D) 2770
(E) 2771
Rationale: A = 2000(21/20)2 = 2205
Answer: A
Answer: (A) 2205
Question: Taylor is making a bracelet. He Starts with 4 blue knots, 5 red knots, and 2 yellow knots, in that order, and repeats the pattern until there is no more string. If the last Knot is yellow which of the following could be the total number of knots on the bracelet.
(A) 87
(B) 90
(C) 95
(D) 97
(E) 102
Rationale: Repeating sequence = 4 + 5 + 2 = 11.
As the pattern ends in Y this could be the 10th thread or 11 thread (both are yellow)
Out of the answer choices, correct on should be a multiple of 11(since 11 threads are repeating) and if not, multiple of 11 + 10 (since 11 threads are repeating and last sequence end at first yellow)
none of the options is a direct multiple of 11 and only option that is multiple of 11; + 10 is 87 (11*7) + 10
Hence, answer is A
Answer: (A) 87
Question: Last year Jackie saved 5% of her annual salary. This year, she made 10% more money than last year, and she saved 8% of her salary. The amount saved this year was what percent of the amount she saved last year?
(A) 56%
(B) 76%
(C) 158%
(D) 176%
(E) 188%
Rationale: Assuming Annual salary of last year = 100
5 % Salary Saving (last year) would give = (5/100) * 100 = 5
she made 10% more money than last year = 110 (This year Salary)
8 % Salary saving this year = (8/100) * 110 = 88/10 = 8.8
(Amount saved this year/Amount saved last year) * 100= (8.8/5) * 100 = 8.8 * 20 = 176 %
ANSWER:D
Answer: (D) 176%
Question: Using all the letters of the word "BUTTON", how many words can be formed, which begin with B and end with N?
(A) 9
(B) 24
(C) 7
(D) 5
(E) 3
Rationale: There are five letters in the given word.
Consider 6 blanks ....
The first blank and last blank must be filled with B and N all the remaining three blanks can be filled with the remaining 4 letters in 4! ways.
The number of words = 4! = 24.
Answer:B
Answer: (B) 24