mathewhe/aqua_rat huggingface dataset:
Question: In the rectangular coordinate system, what is the x-intercept of a line passing through (10, 3) and (−6, −5)?
(A) 4
(B) 2
(C) 0
(D) −2
(E) −4
Rationale: First, solve for the slope, m:
m = (y2 - y1)/(x2 - x1) = (-5 - 3)/(-6 - 10) = -8/-16 or 1/2
Then you can re-write the equation as y = (1/2)x + b and plug in one of the points to find b, the y intercept. Using point (10, 3): 3 = (1/2)(10) + b, which can be simplified to 3 = 5 + b. Solve for b and you get b = -2.
The equation now reads: y = (1/2)x - 2.
To find the x intercept, plug in 0 for y: 0 = (1/2)x - 2, which simplifies to 2 = (1/2)x. From this, we can see that the x intercept = 4.
Answer is A.
Answer: (A) 4
Question: Three men sit at a table. One dollar is placed in front of each of them. When a buzzer sounds, the first man to touch the money in front of him keeps the money that is in front of him, while the other two receive nothing. If none of the three men touches the money in front of them, then the amount of money doubles for the next round. After seven rounds of this activity, what is the maximum amount of money that any one man could receive?
(A) $4
(B) $5
(C) $10
(D) $15
(E) $64
Rationale: The Optimized scenario
After 1st Round - $1. Let nobody touches the amount will double in next round.
After 2nd Round - $2. Let nobody touches the amount will double in next round.
After 3rd Round - $4. Let nobody touches the amount will double in next round.
After 4th Round - $8. Let nobody touchesthe amount will double in next round.
After 5th Round - $16. Let nobody touches the amount will double in next round.
After 6th Round - $32. Let Man A touches it and get$32
After 7th Round - $32. Let the same Man A touches it and get another$32.
So, after 7th round, the maximum amount a man receives is $64.
Answer (E)
Answer: (E) $64
Question: Which one the following fractions has the exact division of Five?
(A) 1889/5
(B) 1998/5
(C) 2007/5
(D) 2000/5
(E) 2016/5
Rationale: Numerator for all option is 5. In the numerator value, if the last digit is either 0 or 5, then it is exact division of 5. So Option (D) 2000, last digit is 0 is exactly divisible by 5. Answer (D).
Answer: (D) 2000/5
Question: A new home buyer pays 4% annual interest on her first mortgage and 9% annual interest on her second mortgage. If she borrowed a total of $325,000, 80% of which was in the first mortgage, what is her approximate monthly interest payment?
(A) $1,354
(B) $1,733
(C) $3,466
(D) $13,333
(E) $20,796
Rationale: 0.04x + 0.09y = 325000 [1]
0.04x = 0.80 * 325000 = 260000 [2]
260000 + 0.09y = 325000 --> 0.09y = 65000 [3]
260000 / 12 = 21666.67 [4]
65000 / 12 = 5416.667[5]
Adding [4,5] we get: 27083.33 [6]
Dividing [6] / 2 to get an average we get 1.354,ANS A
Answer: (A) $1,354
Question: The true discount on a bill due 9 months hence at 16% per annum is Rs. 153.The amount of the bill is
(A) Rs. 1386
(B) Rs. 1764
(C) Rs. 1275
(D) Rs. 2268
(E) None of these
Rationale: Solution
32.5
Let P.W. be Rs. x.Then,S.I. on Rs.x at 16% for 9 months =Rs.153.
∴ x 16 x9/ 12x 1/100}= 153 or x = 1275.
∴ P.W. = Rs. 1275.
Answer C
Answer: (C) Rs. 1275
Question: From a box containing 10 orange balls and 6 yellow balls, a child takes out two balls simultaneously and at random. What is the probability that he picks one ball of each color?
(A)  1/8
(B)  1/30
(C)  1/16
(D)  1/4
(E)  1/2
Rationale: We are told that we have 16 balls, 10 orange and 6 yellow. The balls are drawn simultaneous and randomly, B1 and B2, in different colors. There are two acceptable outcomes: 1) B1 is orange and B2 is yellow; 2) B1 is yellow and B2 is orange. Let's go: 1) B1 = (10/16)(6/15)= 1/4 chance of this happening. 2) B2 = (6/16)(10/15) = 1/4 chance of this happening. Then: (1/4)+(1/4)= 1/2, chance of getting the result that you wanted. Answer E.
Answer: (E)  1/2
Question: Exactly 3/7 of the people in the room are under the age of 21, and exactly 5/9 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) 27
(B) 35
(C) 39
(D) 60
(E) 65
Rationale: The total number of the people in the room must be a multiple of both 7 and 9 (in order 3/7 and 5/9 of the number to be an integer), thus the total number of the people must be a multiple of LCM of 7 and 9, which is 63.
Since, the total number of the people in the room is greater than 50 and less than 100, then there are 91 people in the room.
Therefore there are 3/7*63=27 people in the room under the age of 21.
Answer: A.
Answer: (A) 27
Question: If k and w are the dimensions of a rectangle that has area 48, and if k and w are integers such that k > w, what is the total number of possible values of k?
(A)  Four
(B)  Three
(C)  Two
(D)  Five
(E)  Six
Rationale: kw=48=48*1=24*2=16*3=12*4 --> k can take 4 values.
Answer: A
Answer: (A)  Four
Question: A certain Social Security recipient will receive an annual benefit of $12,000 provided he has annual earnings of $9,360 or less, but the benefit will be reduced by $1 for every $3 of annual earnings over $9,360. What amount of total annual earnings would result in a 40 percent reduction in the recipient's annual Social Security benefit? (Assume Social Security benefits are not counted as part of annual earnings.)
(A) $15,360
(B) $17,360
(C) $18,000
(D) $21,360
(E) $30,960
Rationale: For every $3 earn above $9360, the recipient loses $1 of benefit.
OR
For every $1 loss in the benefit, the recipient earns $3 above $9360
If earning is; 9360+3x
Benefit = 12000-x
Or the vice versa
If benefit is 12000-x, the earning becomes 9360+3x
He lost 40% of the benefit;
Benefit Received= 12000-0.4*12000 = 12000-4800
x=7200
Earning becomes 9360+3x=9360+3*7200=30960
Ans:E
Answer: (E) $30,960
Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
(A) 23 year
(B) 24 years
(C) 25 years
(D) 30 years
(E) None
Rationale: Sol.
Let the average age of the whole team be x years.
∴ 11 x - (26 + 29) = 9 (x - 1)
⇔ 11x - 9x = 46
⇔ 2x = 46
⇔ x = 23.
So, average age of the team is 23 years.
Answer A
Answer: (A) 23 year
Question: On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?
(A) 0
(B) 1
(C) 2
(D) 4
(E) 6
Rationale: Let the number be x and on dividing x by 5, we get k as quotient and 3 as remainder.
x = 5k + 3
x2 = (5k + 3)2
= (25k2 + 30k + 9)
= 5(5k2 + 6k + 1) + 4
On dividing x2 by 5, we get 4 as remainder.
Answer: D
Answer: (D) 4
Question: A tradesman by means of his false balance defrauds to the extent of 1%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
(A) 2%
(B) 77%
(C) 44%
(D) 16%
(E) 47%
Rationale: g% = 1 + 1 + (1*1)/100
= 2%
Answer: A
Answer: (A) 2%
Question: Train A leaves the station traveling at 30 miles per hour. Two hours later train В leaves the same station traveling in the same direction at 42 miles per hour. How many miles from the station was train A overtaken by train B?
(A) 150
(B) 170
(C) 190
(D) 210
(E) 230
Rationale: After two hours, Train A is ahead by 60 miles.
Train B can catch up at a rate of 12 miles per hour.
The time to catch up is 60/12 = 5 hours.
In 5 hours, train A travels another 30*5 = 150 miles for a total of 210 miles.
The answer is D.
Answer: (D) 210
Question: Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 5 such machines produce in 4 minutes?
(A)  900
(B)  1,800
(C)  2,700
(D)  10,800
(E)  64,800
Rationale: 6 machines produce 270 bottles per minute;
1 machine produces 270/6=45 bottles per minute;
5 machines produce 45*5=225 bottles per minute;
In 4 minutes 10 machines produce 225*4=900 bottles.
Answer: A.
Answer: (A)  900
Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 170 m and 100 m respectively. The time they will take to pass each other completely is?
(A) 3 sec
(B) 8 sec
(C) 9 sec
(D) 5 sec
(E) 7 sec
Rationale: 70 + 50 = 120 * 5/18 = 100/3 mps
D = 170 + 100 = 270 m
T = 270 * 3/100 = 8 sec
ANSWER:B
Answer: (B) 8 sec
Question: A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:
(A) 2
(B) 15
(C) 18
(D) 7
(E) 12
Rationale: Let the ten's and unit digit be x and 8/x respectively.
Then,(10x + 8/x) + 18 = 10 x 8/x	+ x
10x2 + 8 + 18x = 80 + x2
9x2 + 18x - 72 = 0
x2 + 2x - 8 = 0
(x + 4)(x - 2) = 0
x = 2.
Answer:A
Answer: (A) 2
Question: A, B, C subscribe Rs. 50,000 for a business. If A subscribes Rs. 4000 more than B and B Rs. 5000 more than C, out of a total profit of Rs. 40,000, what will be the amount A receives?
(A) 14700
(B) 14500
(C) 16800
(D) 14300
(E) 14000
Rationale: Total amount invested = 50000
Assume that investment of C =x.
Then investment of B =5000+x,
Investment of A =4000+5000+x=9000+x
x+5000+x+9000+x=50000
⇒3x+14000=50000
⇒3x=50000–14000=36000
⇒x=36000/3=12000
Investment of C =x=12000
Investment of B =5000+x=17000
Investment of A =9000+x=21000
Ratio of the investment of A, B and C
=21000:17000:12000
=21:17:12
Share of A = Total profit ×21/50
=40000×21/50=16,800
Answer is C
Answer: (C) 16800
Question: A factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, 20 balls per box. If 153 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed?
(A) 2
(B) 1
(C) 3
(D) 5
(E) 4
Rationale: We have to work with multiples of 20 and 25.
First, we must know the limits of this multiples, so:
152/25= 6....so the max is 6
152/20=7...so the max is 7
153-150 =3 ( 6 big box )
Answer : C
Answer: (C) 3
Question: 90 litres of diesel is required to travel 600 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 800 km using 1200 cc engine?
(A) 80 litres
(B) 90 litres
(C) 120 litres
(D) 180 litres
(E) None of these
Rationale: Explanatory Answer
To cover a distance of 800 kms using a 800 cc engine, the amount of diesel required = 800/600*90 = 120 litres.
However, the vehicle uses a 1200 cc engine and the question states that the amount of diesel required varies directly as the engine capacity.
i.e., for instance, if the capacity of engine doubles, the diesel requirement will double too.
Therefore, with a 1200 cc engine, quantity of diesel required = 1200/800*120 = 180 litres.
Answer D
Answer: (D) 180 litres
Question: Two trains of length 100 m and 200 m are 250 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
(A) 50/7 sec
(B) 32/3 sec
(C) 20/7 sec
(D) 32/3 sec
(E) 53/2 sec
Rationale: They are moving in opposite directions, relative speed is equal to the sum of their speeds.
Relative speed = (54 + 72)*5/18 = 7*5 = 35 mps.
The time required = d/s = 250/35 = 50/7 sec.
Answer:A
Answer: (A) 50/7 sec
Question: There are 6 couples. If they will sit 12 chairs in a row such that each couple sits side by side, how many possible cases are there?
(A) 120
(B) 240
(C) 1,200
(D) 46080
(E) 3,840
Rationale: Tie the couples. Then we have 6 persons that have to be arranged in 6 places. 6! ways.
Now the couples can change position with each other. 2! ways.
6! * (2!)^6=720 *64 = 46080
Answer is D.
Answer: (D) 46080
Question: A, B and C can do a piece of work in 30 days, 30 days and 40 days respectively. They began the work together but C left 4 days before the completion of the work. In how many days was the work completed?
(A) 12 days
(B) 16 days
(C) 18 days
(D) 11 days
(E) 38 days
Rationale: One day work of A, B and C = 1/30 + 1/30 + 1/40 = 1/11Work done by A and B together in the last 4 days = 4*(1/30 + 1/30) = 4/15
Remaining work = 11/15
The number of days required for this initial work = 8 days.
The total number of days required = 4 + 8 = 12 days.
Answer:A
Answer: (A) 12 days
Question: The maximum number of students among them 640 pens and 520 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils?
(A) 40
(B) 45
(C) 50
(D) 55
(E) 60
Rationale: number of pens = 640
number of pencils = 520
Required number of students = H.C.F. of 640 and 520= 40
Answer is A
Answer: (A) 40
Question: Ram professes to sell his goods at the cost price but he made use of 950 grms instead of a kg, what is the gain percent?
(A) 5.26%
(B) 11 7/7%
(C) 11 1/9%
(D) 71 1/9%
(E) 11 1/2%
Rationale: 950 --- 50
100 --- ? => 5.26%
Answer:A
Answer: (A) 5.26%
Question: Simple interest on a sum at 5% per annum for 2 years is Rs.90. The C.I. on the same sum for the same period is?
(A) 81.6
(B) 91.5
(C) 81.2
(D) 81.3
(E) 81.1
Rationale: SI = 45 + 45
CI = 45 + 45 + 1.5 = 91.5
Answer: B
Answer: (B) 91.5
Question: A piece of ribbon is cut from a role that can now make 189 more pieces and an additional piece of 30mm. If the full role after the piece was cut is 600mm, what is the length of the ribbon that was cut?
(A) 25
(B) 270
(C) 12
(D) 3
(E) 30
Rationale: r as the length of the ribbon cut.
(189*r) +r + 30=600.
(190*r) +30=600
(190*r)=600-30 solves to (190*r)/270= 570/190
r equates to 3mm.
Answer is D.
Answer: (D) 3
Question: There is an increase of 30% in the production of milk chocolates in Amul Dairy in one month. If now it is 6,500 milk chocolates per month, what was it one month ago?
(A) 5,000 chocolates
(B) 9000 chocolates
(C) 8000 chocolates
(D) 7000 chocolates
(E) None of these
Rationale: Let one month ago, production be x chocolates.
Then, 130 % of x = 6500
⇒ x = 6500×100/130=5000 chocolates
Answer A
Answer: (A) 5,000 chocolates
Question: Cheese, bologna, and peanut butter sandwiches were made for a picnic in a ratio of 5 to 7 to 8. If a total of 140 sandwiches were made, how many bologna sandwiches
were made?
(A) 15
(B) 30
(C) 38
(D) 42
(E) 49
Rationale: For deciding such task we should calculate all parts 5 + 7 + 8 = 20 parts
and we should calculate how many sandwiches holds 1 part:
140 / 20 = 7 sandwiches in one part
For bologna we have 7 parts so:
7 * 7 = 49
Answer is E
Answer: (E) 49
Question: Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?
(A) 16
(B) 20
(C) 21
(D) 10
(E) 27
Rationale: Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.
Then,	((6x + 6) + 4)*10=	11*((5x + 6) + 4)
10(6x + 10) = 11(5x + 10)
5x = 10
x = 2.
Sagar's present age = (5x + 6) = 16 years
Ans- A
Answer: (A) 16
Question: A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
(A) Rs. 375
(B) Rs. 400
(C) Rs. 600
(D) Rs. 800
(E) None of these
Rationale: C's 1 day's work = 1/3-(1/6+1/8)=1/3=7/24=1/24;
A's wages: B's wages: C's wages = 1/6:1/8:1/24=4:3:1;
C's share = Rs.(1/8*3200)=Rs.400.
Correct Option: B
Answer: (B) Rs. 400
Question: A glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution. If 45 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container?
(A) 3.0
(B) 5.0
(C) 5.5
(D) 6.5
(E) 6.75
Rationale: Construct an equation: 15/100=x/45-> x=6.75
Answer: E.
Answer: (E) 6.75
Question: Last year Elaine spent 20% of her annual earnings on rent. This year she earned 25% more than last year and she spent 30% of her annual earnings on rent. The amount she spent on rent this year is what percent of the amount spent on rent last year?
(A)  182.5
(B)  184.5
(C)  167.5
(D)  172.5
(E)  187.5
Rationale: For this it is easiest to use simple numbers. Let's assume that Elaine's annual earnings last year were $100.
She would've spent $20 of this on rent.
This year she earned 25% more, or $125.
She would've spent 30% of this on rent, or $37.5
Do $37.5/$20
This will give you 187.5%
E is the correct answer.
Answer: (E)  187.5
Question: The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages.
(A) 20, 35, 55
(B) 16, 28, 36
(C) 20, 35, 45
(D) None of these
(E) 20, 15, 45
Rationale: Answer: Option B
Let their present ages be 4x, 7x and 9x years respectively.
Then, (4x - 8) + (7x - 8) + (9x - 8) = 56
20x = 80 => x = 4
Their present ages are 16, 28 and 36 years respectively.
Answer: (B) 16, 28, 36
Question: A man goes 50Km north , then turned left walked 40Km, then turned right ? In which direction he is?
(A) North
(B) South
(C) East
(D) West
(E) None
Rationale: 5okm-north-->north
left-west--->west
turned right-north--->north
ANSWER:A
Answer: (A) North
Question: Grace has enough money to buy 45 bricks. If the bricks each cost 10 cents less, Grace could buy 5 more bricks. How much money does Grace have to spend on bricks?
(A) $100
(B) $50
(C) $45
(D) $40
(E) $30
Rationale: 45 bricks at $1 each = 45*$1.00 = $45.
50 bricks at ($1 - $0.10) each = 50*$0.90 = $45
This gives us C
Answer: (C) $45
Question: The distance that light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 20 years is:
(A) 111 × 1827 miles
(B) 1174× 10^11 miles
(C) 346 × 1012 miles
(D) 247 × 1012 miles
(E) 587 × 1012 miles
Rationale: The distance of the light travels in one years is:
5,870,000,000,000 = 587 * 10 ^10
The distance of the light travels in 20 years is:
= 2*10 * 587 * 10^10
= 1174 × 10^11 miles.
Answer :B
Answer: (B) 1174× 10^11 miles
Question: What is the units' digit of the following expression (13)^5*(13)^10*(17)^5?
(A) 0
(B) 1
(C) 3
(D) 5
(E) 9
Rationale: We do not have to do any calculations or find units digit of remaining numbers...
all three terms - 13,13,17 - are ODD and since the PRODUCT contains 3, the units digit of the product will remain 3
C
Answer: (C) 3
Question: If the cost price is 86% of the selling price, then what is the profit percent?
(A) 5%
(B) 11%
(C) 16%
(D) 21%
(E) 19%
Rationale: Let S.P. = $100
C.P. = $86
Profit = $14
Profit% = 14/86 * 100 = 25/6 = 16% approximately
Answer is C
Answer: (C) 16%
Question: A can do a piece of work in 4 days. B can do it in 9 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
(A) 22 days
(B) 36/5 days
(C) 67 days
(D) 17/7 days
(E) 18 days
Rationale: C = 1/2 - 1/4 - 1/9 = 5/36
=> 36/5 days
Answer:B
Answer: (B) 36/5 days
Question: A side of beef lost 50 percent of its weight in processing. If the side of beef weighed 750 pounds after processing, how many pounds did it weigh before processing?
(A) 191
(B) 355
(C) 737
(D) 840
(E) 1,500
Rationale: Let weight of side of beef before processing = x
(50/100)*x = 750
=> x = (750 * 100)/50 = 1500
Answer E
Answer: (E) 1,500
Question: A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
(A) 356
(B) 278
(C) 127
(D) 279
(E) 150
Rationale: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 9 = 150 m
Answer: E
Answer: (E) 150
Question: In a kilometre race, A can give B a start of 100 m or 15 seconds. How long does A take to complete the race?
(A) 2min 10 sec
(B) 2min 30 sec
(C) 2min 40 sec
(D) 2min 50 sec
(E) 2min 20 sec
Rationale: 100 m = 15 sec
1 m = 15/100 sec
1000 m = 15/100*1000
=150 sec
=2min 30 sec
ANSWER:B
Answer: (B) 2min 30 sec
Question: The set X = {6,7,8,9}. The set Y = {2,3,4,5}. We will randomly choose one element x from set X and one element y from set Y. What is the probability that x / y will be an integer?
(A) 5/16
(B) 3/16
(C) 7/8
(D) 5/8
(E) 3/8
Rationale: The total number of x and y pairs is 4*4=16.
There are five pairs such that x / y is an integer.
The probability that x / y is an integer is 5/16.
The answer is A.
Answer: (A) 5/16
Question: The average age of 32 students in a group is 14 years. When teacherâ€™s age is included to it, the average increases by one. What is the teacherâ€™s age in years?
(A) 31
(B) 36
(C) 47
(D) 51
(E) None
Rationale: Sol.
Age of the teacher = ( 33 Ã— 15 â€“ 32 Ã— 14 ) years = 47 years.
Answer C
Answer: (C) 47
Question: Today John is 3 times older than Mark. If in 12 years, John will be one year younger than twice the age of Mark on that day, how old is John today?
(A) 13
(B) 33
(C) 36
(D) 38
(E) 39
Rationale: t
Given after 12yrs john will be 1 year younger than twice mark's age
i.e 3M+12 = 2(M+12)-1
M=11
=>John's current age = 3M = 33
Answer is B
Answer: (B) 33
Question: 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
(A) 4
(B) 5
(C) 7
(D) 8
(E) 2
Rationale: C
7
1 women's 1 day work = 1/70
1 child's 1 day work = 1/140
(5 women + 10 children)'s 1 day work
= (5/10 + 10/140) = (1/14 + 1/14) = 1/7
5 women and 10 children will complete the work in 7 days.
Answer: (C) 7
Question: A can do a piece of work in 30 days; B can do the same in 50 days. How many days will it take the work to get finished if A and B work together?
(A) 18.75
(B) 20.25
(C) 21.52
(D) 23.45
(E) 24.58
Rationale: A completes 1/30th of the work in one day and B completes 1/50th.
(1/30)+(1/50)=(1/x)
8/150=1/x => x=150/8=18.75days
Answer: A
Answer: (A) 18.75
Question: 8th Dec 2007 was Saturday, what day of the week was it on 8th Dec, 2006?
(A) Sunday
(B) Tuesday
(C) Friday
(D) Tuesday
(E) None of these
Rationale: Explanation :
Given that 8th Dec 2007 was Saturday
Number of days from 8th Dec, 2006 to 7th Dec 2007 = 365 days
365 days = 1 odd day
Hence 8th Dec 2006 was = (Saturday - 1 odd day) = Friday. Answer : Option C
Answer: (C) Friday
Question: Present ages of Solomon and Arnald are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Arnald present age in years?
(A) A)24
(B) B)25
(C) C)26
(D) D)27
(E) E)28
Rationale: Let the present ages of Solomon and Arnald be 5x and 4x years respectively.
Then, (5x + 3)/(4x + 3) = 11/9
9(5x + 3) = 11(4x + 3) => x = 6
Arnald present age = 4x = 24 years.
ANSWER:A
Answer: (A) A)24
Question: In a school 10% of the boys are same in number as 1/5th of the girls. what is the ratio of boys to the girls in the school?
(A) 5:2
(B) 2:3
(C) 1:2
(D) 3:7
(E) 2:5
Rationale: 10% of B = 1/5 G
10B/100 = G/5
B = G/2
B/G = 1/2
B:G = 1:2
Answer is C
Answer: (C) 1:2
Question: The compound interest on rs.30000 at 7% per annum is Rs.4347. The period is
(A) 2
(B) 6
(C) 78
(D) 8
(E) 9
Rationale: Explanation:
Amount = Rs.(30000+4347) = Rs.34347
let the time be n years
Then,
n = 2years
Answer: A) 2 years
Answer: (A) 2
Question: The sum of ages of 4 children born 4 years different each is 48 yrs. What is the age of the Elder child?
(A) 8
(B) 9
(C) 16
(D) 17
(E) 18
Rationale: Let the ages of children be x, (x + 4), (x + 8), (x + 12) years.
Then, x + (x + 4) + (x + 8) + (x + 12) = 48
4x = 24
x =6
x+12= 6+12= 18
Answer : E
Answer: (E) 18
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
(A) 278 m
(B) 265 m
(C) 123 m
(D) 270 m
(E) 289 m
Rationale: Speed = 72 * 5/18 = 20 m/sec.
Time = 26 sec.
Let the length of the train be x meters.
Then, (x + 250)/26 = 20
x = 270 m.
Answer:D
Answer: (D) 270 m
Question: The average age of a group of 12 students is 20years. If 4 more students join the group, the average age increases by 1 year. The average age of the new students is
(A) 22
(B) 23
(C) 24
(D) 25
(E) 26
Rationale: total age of 12 std=20*12
total age of 16 std=21*16
total age of 4 std=(21*16)-20*12=96
avg of 4 std =(96)/4=24
ANSWER:C
Answer: (C) 24