mathewhe/aqua_rat huggingface dataset:
Question: Of the 400 employees in a certain company, 25 percent will be relocated to City X and the remaining 75 percent will be relocated to City Y. However, 40 percent of the employees prefer City Y and 60 percent prefer City X. What is the highest possible number of employees who will be relocated to the city they prefer?
(A)  65
(B)  100
(C)  115
(D)  130
(E)  260
Rationale: 240 prefer X (Group 1);
160 prefer Y (Group 2).
City Y needs 300 people: letall 160 who prefer Y (entire Group 2) be relocated there, the rest 140 will be those who prefer X from Group 1;
City X needs 100 people: 240-140=100 from Group 1 will be relocated to X, which they prefer.
So, the highest possible number of employees who will be relocated to the city they prefer is 160+100=260.
Answer: E.
Answer: (E)  260
Question: Jim bought edging to go around a circular garden with a radius of 5 feet. Later he decided to
double the diameter of the garden. How many more feet of edging must he buy?
(A) 28.84' additional edging
(B) 48.84' additional edging
(C) 31.40' additional edging
(D) 18.84' additional edging
(E) 58.84' additional edging
Rationale: circumference of small garden = 2 x 3.14 x 5 = 31.40'
double of the circumference of small garden = 2 x 31.40' = 62.80'
More feet to be buy = 62.80 - 31.40 = 31.40
Answer : C
Answer: (C) 31.40' additional edging
Question: The difference between the local value and the face value of 7 in the numeral 32675149 is
(A) 75142
(B) 64851
(C) 5149
(D) 69993
(E) None of these
Rationale: (Local value of 7) - (Face value of 7) = (70000 - 7) = 69993
Answer: Option D
Answer: (D) 69993
Question: The average age of boys in a class is 16 years and that of the girls is 15 years. What is the average age for the whole class?
(A) 15
(B) 16
(C) 15.5
(D) Insufficient Data
(E) 17
Rationale: Explanation:
We do not have the number of boys and girls. Hence we cannot find out the answer.
Answer: Option D
Answer: (D) Insufficient Data
Question: A and B start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4 months, A takes out half of his capital. After two more months, B takes out one-third of his capital while C joins them with a capital of Rs. 7000. At the end of a year, they earn a profit of Rs. 5080. Find the share of each member in the profit.
(A) A - Rs. 1600, B - Rs. 1800, C - Rs. 1680
(B) A - Rs. 1680, B - Rs. 1600, C - Rs. 1800
(C) A - R,s. 1800, B - Rs. 1500, C - Rs. 1780
(D) A - Rs. 1400, B - Rs. 1900, C - Rs. 1780
(E) None of these
Rationale: Explanation:
A:B:CA:B:C =(5000Ã—4+2500Ã—8)=(5000Ã—4+2500Ã—8) :(4500Ã—6+3000Ã—6):(4500Ã—6+3000Ã—6) :(7000Ã—6):(7000Ã—6)
=40000:45000:42000=40000:45000:42000 =40:45:42=40:45:42.
A's share = Rs. 5080Ã—401275080Ã—40127 = Rs. 1600.
B's share = Rs. 5080Ã—451275080Ã—45127 = Rs. 1800.
C's share = Rs. 5080Ã—421275080Ã—42127 = Rs. 1680.
ANSWER IS A
Answer: (A) A - Rs. 1600, B - Rs. 1800, C - Rs. 1680
Question: Four different objects 1,2,3,4 are distributed at random in four places marked 1,2,3,4. What is the probability that none of the objects occupy the place corresponding to its number?
(A) 17/24
(B) 3/8
(C) 1/2
(D) 5/8
(E) 5/3
Rationale: Explanation :
Let a particular number (say) number 2 occupies position 1.
Then all possible arrangement are given as:
=>(2,1,3,4), (2,1,4,3), (2,3,4,1), (2,4,1,4), (2,4,1,3), (2,4,3,1).
Out of these six, three (2,1,3,4), (2,3,1,4), (2,4,3,1) are not acceptable because numbers 3 and 4 occupy the correct positions.
Hence, the required probability = 3/6 = 1/2.
Answer : C
Answer: (C) 1/2
Question: Of the families in City X in 1991, 60 percent owned a personal computer. The number of families in City X owning a computer in 1993 was 20 percent greater than it was in 1991, and the total number of families in City X was 9 percent greater in 1993 than it was in 1991. what percent of the families in City X owned a personal computer in 1993?
(A) 59%
(B) 55%
(C) 63%
(D) 66%
(E) 68%
Rationale: Say a 100 families existed in 1991 then the number of families owning a computer in 1991 - 60
Number of families owning computer in 1993 = 60 * 120/100 = 72
Number of families in 1993 = 109
The percentage = 72/109 * 100 = 66%.
ANSWER:D
Answer: (D) 66%
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 35600
. What percentage of profit did he make?
(A) 80%
(B) 49%
(C) 40%
(D) 60%
(E) 90%
Rationale: The total CP = Rs. 16000 + Rs. 6250
= Rs. 22250 and SP = Rs. 35600
Profit(%) = (35600 - 22250)/22250 * 100
= 60%
Answer:D
Answer: (D) 60%
Question: John had a stock of 1200 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold?
(A) 36.5%
(B) 46.5%
(C) 66.5%
(D) 76.5%
(E) 96.5%
Rationale: Let N be the total number of books sold. Hence
N = 75 + 50 + 64 + 78 + 135 = 402
Let M be the books NOT sold
M = 1200 - N = 1200 - 402 = 798
Percentage
Books not sold / total number of books = 798/1200 = 0.665 = 66.5%
correct answer C
Answer: (C) 66.5%
Question: A and B can do a piece of work in 7 days. With the help of C they finish the work in 4 days. C alone can do that piece of work in?
(A) 33
(B) 9 1/3
(C) 30
(D) 88
(E) 11
Rationale: C = 1/4 â€“ 1/7 = 3/28 => 28/3 = 9 1/3 days
Answer: B
Answer: (B) 9 1/3
Question: A committee of three students has to be formed. There are six candidates: Jane, Joan, Paul, Stuart, and Jessica. If Paul and Stuart refuse to be in the committee together and Jane refuses to be in the committee without Paul, how many committees are possible?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 8
Rationale: Let's try a different problem with your approach. There are five people: A, B, C, D, E. Need to chose 3 for a committee. A and B cannot be chosen together. B and C cannot be chosen together. How many options?
Your approach: total 10 options, 5c3.
Now, assume the wrong scenario where A and B are chosen together. There are three such scenarios. (A and B are chosen, just need one more person.) So we have to subtract the three wrong options. Similarly, there are three wrong scenarios where B and C are chosen together.
This gives us 10-3-3=4 as the answer.
Yet this answer is wrong. There are five possibilities: ACD, ACE, ADE, BDE, CDE.
D
Answer: (D) 6
Question: The simple interest on Rs. 10 for 4 months at the rate of 3 paise per rupeeper month is
(A) 1.2
(B) 1.4
(C) 2.25
(D) 3.21
(E) None
Rationale: Sol.
S.I. = Rs. [10 * 3/100 * 4] = Rs. 1.20
Answer A
Answer: (A) 1.2
Question: If n is a positive integer, which of the following is a possible value of |36 - 5n|?
(A) 7
(B) 14
(C) 12
(D) 15
(E) 20
Rationale: When 36>5n, then |36- 5n| = 71- 5n = (36-5n) + 1 = {multiple of 5} + 1
When 36<=5n, then |36- 5n| = -(71- 5n) = (36-70) - 1 = {multiple of 5} - 1
So, the correct answer must be 1 greater or 1 less than a multiple of 5. Only B fits.
Answer: B
Answer: (B) 14
Question: TOM traveled the entire 50 miles trip. If he did the first 15 miles of at a constant rate 20 miles per hour and the remaining trip of at a constant rate 45 miles per hour, what is the his average speed, in miles per hour?
(A) 60.40mph
(B) 60.20mph
(C) 55.32mph
(D) 65.50mph
(E) 70.25mph
Rationale: avg speed = total distance/ total time = (d1+d2)/(t1+t2) = (15+35) / ((15/20)+(35/45)) = 50*180/149 = 60.40mph
A
Answer: (A) 60.40mph
Question: Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
(A) 10
(B) 11
(C) 12
(D) 10.8
(E) 16
Rationale: Relative speed = 60 + 40 = 100 km/hr.
= 100 * 5/18 = 250/9 m/sec.
Distance covered in crossing each other = 140 + 160 = 300 m.
Required time = 300 * 9/250 = 54/5 = 10.8 sec.
Answer: Option D
Answer: (D) 10.8
Question: John makes $50 a week from his job. He earns a raise and now makes $80 a week. What is the % increase?
(A) 16%
(B) 16.66%
(C) 17.9%
(D) 18.12%
(E) 60%
Rationale: Increase = (30/50)*100 = (3/5)*100 = 60%.
E
Answer: (E) 60%
Question: The salary of a person was reduced by 50%. By what percent should his reduced salary be raised so as to bring it at par with his original salary?
(A) 20%
(B) 25%
(C) 50%
(D) 75%
(E) 100%
Rationale: Let the original salary be $100
New salary = $50
Increase on 50 = 50
increase on 100 = 50/50 *100 = 100%(APPROXIMATELY)
Answer is E
Answer: (E) 100%
Question: A train traveled the first d miles of its journey it an average speed of 60 miles per hour, the next d miles of its journey at an average speed of y miles per hour, and the final d miles of its journey at an average speed of 160 miles per hour. If the train’s average speed over the total distance was 90 miles per hour, what is the value of y?
(A)  68
(B)  84
(C)  90
(D)  110
(E)  135
Rationale: Average speed=Total distance traveled /Total time taken
3d/d/60+d/y+d/160=90
Solving for d and y,
15y=11y+480
4y=440
y=110
Answer D
Answer: (D)  110
Question: The size of a television screen is given as the length of the screen's diagonal. If the screens were flat, then the area of a square 20-inch screen would be how many square inches greater than the area of a square 18-inch screen?
(A) 2
(B) 4
(C) 16
(D) 38
(E) 40
Rationale: Pythogoras will help here!
let the sides be x and diagonal be d
Then d ^2 = 2x^2
and
Area = x^2
Now plug in the given diagonal values to find x values
and then subtract the areas
Ans will be 20^2/2 - 18^2 /2 = 76 /2 = 38
Ans D.
Answer: (D) 38
Question: how many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?
(A) 5
(B) 10
(C) 15
(D) 20
(E) 25
Rationale: Since each desired number is divisible by 5, so we must have 5 at the unit place. So, there is 1 way of doing it.
The tens place can now be filled by any of the remaining 5 digits (2, 3, 6, 7, 9). So, there are 5 ways of filling the tens place.
The hundreds place can now be filled by any of the remaining 4 digits. So, there are 4 ways of filling it.
Required number of numbers = (1 x 5 x 4) = 20.
ANSWER D 20
Answer: (D) 20
Question: Two cars are 500 cm apart. each is moving forward for 100 cm at a velocity of 50 cm/s and receding back for 50 cm at 25cm/s at what time they will collide with each other.
(A) 11 sec
(B) 14 sec
(C) 12 sec
(D) 13 sec
(E) 15 sec
Rationale: each car is moving forward for 100 cm with velocity 50cm/s
so time to cover 100cm is=100/50=2 sec
again receding back for 50 cm at 25cm/s velocity
so time to cover 50 cm is=50/25=2 sec
actually they individually cover (100-50)=50 cm in (2+2)=4 sec
so in 12 sec they together cover (150+150)=300 cm
and after that both move 100 cm in 2 sec
so after (12+2)=14 sec they cover (300+200)=500cm
so they collide after 14 sec
ANSWER:B
Answer: (B) 14 sec
Question: What is the % change in the area of a rectangle when its length increases by 30% and its width decreases by30%?
(A) 0%
(B) 20% increase
(C) 20% decrease
(D) 9% decrease
(E) Insufficient data
Rationale: (13/10)*(7/10) =91/100 of original area
91/100 is a 9% decrease from 100/100 ->D
Answer: (D) 9% decrease
Question: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
(A) 150 cm2
(B) 196 cm2
(C) 189 cm2
(D) 146 cm2
(E) 161 cm2
Rationale: 1/2 * 20(9 + 6)
= 150 cm2
Answer:A
Answer: (A) 150 cm2
Question: If the cost of 12 apples is $20. What would be the cost of 20 apples?
(A) 25.5
(B) 29.36
(C) 33.33
(D) 35.56
(E) 38.24
Rationale: The cost of one apple=20/12=1.67
The cost of twenty apples= 1.67x20= $ 33.33
Answer: B
Answer: (B) 29.36
Question: Income and expenditure of a person are in the ratio 10 : 8. If the income of the person is Rs. 10000, then find his savings?
(A) 2003
(B) 2002
(C) 2000
(D) 2001
(E) 2004
Rationale: Let the income and the expenditure of the person be Rs. 10x and Rs. 8x respectively.
Income, 10x = 10000 => x = 1000
Savings = Income - expenditure = 10x - 8x = 2x = 2(1000)
So, savings = Rs. 2000.
Answer:C
Answer: (C) 2000
Question: The banker's gain on a bill due 1 year hence at 10% per annum is Rs. 20. What is the true discount?
(A) Rs. 200
(B) Rs. 100
(C) Rs. 150
(D) Rs. 250
(E) None of these
Rationale: Explanation :
TD = (BG ×100)/TR = (20×100)/(1×10) = Rs. 200 Answer : Option A
Answer: (A) Rs. 200
Question: The first train leaves the station at 6:00 am with a speed of 60 km/hr. The second train leaves at 7:00 am, in the same direction from the same station, with a speed of 75 km/hr. What time will the second train catch the first train?
(A) 10:00 am
(B) 11:00 am
(C) 12:00 noon
(D) 1:00 pm
(E) 2:00 pm
Rationale: In sixty minutes, the first train travels 60 km.
The second train catches the first train with a relative speed of 15 km/h.
The second train will catch the first train in 4 hours.
The second train will catch the first train at 11:00 am.
The answer is B.
Answer: (B) 11:00 am
Question: The area of a square field is A square feet and the perimeter is p feet. If 6A=6(2p+9), what is the perimeter of the field, in feet? (Here A=a^2)
(A) 28
(B) 36
(C) 40
(D) 56
(E) 84
Rationale: You can also solve this via using the given numbers in the answer choices!
Of course you need to be aware of the basic properties as outlined by the other posts above (a = x^2 and p = 4x)
Starting with D you will notice that x=14 is way too big for your area (14^2) and will not satisfy: 6A=6(2p+9) or a=2p+9
--> Eliminate D and E
Now pick B (its either too big, then its A, or too small then you know its C or it is B itsself)
And picking B indeed solves the problem! (36/4 --> 9; a= 9^2 = 81 and 81=2x36+9)
Answer: (B) 36
Question: A is two years older than B who is twice as old as C.If the total of the ages of A,B nd C be 27,then how old is B ?
(A) 7
(B) 8
(C) 9
(D) 10
(E) 11
Rationale: Solution
Let C's age be x years .Then,B's age =2x years.A's age =(2x +2) years.
∴ (2x +2) +2x + x =27 ⇔ 5x =25 ⇔ x =5.
Hence,B's age =2x = 10 years. Answer D
Answer: (D) 10
Question: if 12401 is divided by any no. then quotient is 76 and remainder is 13.what is divisor?
(A) 154
(B) 124
(C) 153
(D) 163
(E) 183
Rationale: divisor=(dividend-remainder)/quotient=(12401-13)/76=12388/76=163
divisor = 163
answer D
Answer: (D) 163
Question: Find the value of x from the below equation:
x^2−7x+10=0
(A) 5 or 2
(B) 3 or 5
(C) 3 or 7
(D) 4 or 6
(E) None
Rationale: Here we need to find out a and b such that a + b = -7 and ab = +10
a = -5 and b = -2 satisfies the above condition.
Hence
x^2−7x+10=(x−5)(x−2)
x2−7x+10=(x−5)(x−2)
x^2−7x+10
=0
⇒(x−5)(x−2)
=0
x2−7x+10=0⇒(x−5)(x−2)=0
Step 3: Equate each factor to 0 and solve the equations
(x−5)(x−2)
=0
⇒(x−5)
=0or (x−2)=0
⇒x= 5 or 2
A
Answer: (A) 5 or 2
Question: A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 390 m long?
(A) 38 sec
(B) 35 sec
(C) 44 sec
(D) 40 sec
(E) 60 sec
Rationale: Explanation:
Speed = 45 km/hr = 45×(10/36) m/s
= 150/12 = 50/4 = 25/2 m/s
Total distance = length of the train + length of the platform
= 360 + 390 = 750 meter
Time taken to cross the platform = 750/(25/2) = 750×2/25 = 60 seconds
Answer: Option E
Answer: (E) 60 sec
Question: A jar of 180 marbles is divided equally among a group of marble-players today. If 2 people joined the group in the future, each person would receive 1 marble less. How many people are there in the group today?
(A) 16
(B) 18
(C) 20
(D) 22
(E) 24
Rationale: 180 = 18*10 = 20*9
There are 18 people in the group today.
The answer is B.
Answer: (B) 18
Question: A bicyclist's wheel has a circumference of 9 meters. if the bicyclist covers 180 meters in 5 hours at a constant speed, how many rotations does the wheel make per hour at that speed?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Rationale: The bicyclist covers y meters in t hrs. So he covers y/t meters in one hour.
To cover y/t meters, the bicycle's wheel went round and round that is, multiple times, the wheel completed one circumference on the road. How many times did it complete one full rotation. Since the circumference is x, the number of times it completes the circumference is y/xt.=180/9*5=4
Answer (C)
Answer: (C) 4
Question: If a particular is never chosen, in how many ways can a cricketbe chosen out of 15 players?
(A) 239
(B) 259
(C) 364
(D) 370
(E) 372
Rationale: A particular players is never chosen, it means that 11 players are selected out of 14 players.
=> Required number of ways = 14C11
= 14!/11!x3! = 364
C
Answer: (C) 364
Question: Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word APPLE could be arranged to create a five-letter code?
(A) 5!
(B) 5! − (2!)
(C) 5! − (3! × 2!)
(D) 5!/(2!)
(E) 6!/( 2!)
Rationale: APPLE - five letters can be arranged in 5! ways
since 'P' repeats 2 times , we need to divide the 5! ways by 2! to adjust repetition.
5!/(2!)
Ans. D) 5!/(2!)
Answer: (D) 5!/(2!)
Question: The cost price of an book is 64% of the marked price. Calculate the gain percent after allowing a discount of 12%?
(A) 33%
(B) 28.02%
(C) 37.5%
(D) 30.5%
(E) 22%
Rationale: C
37.5%
Let marked price = $100.
Then, C.P. = $64, S.P. = $88
Gain % = 24/64 * 100 = 37.5%.
Answer: (C) 37.5%
Question: If x^2 − 2x − 15 = (x + r)( x + s) for all values of x, and if r and s are constants, then which of the following is a possible value of 2(r − s)?
(A) 8
(B) 16
(C) − 2
(D) − 3
(E) − 5
Rationale: We know that given ax^2 + bx + c = 0, Sum of the roots = -b/a and product of the roots = c/a.
The roots here are -r and -s.
-r - s = -(-2)/1 = r + s = -2
(-r)*(-s) = -15/1 = rs
So one of r and s is -5 and the other is 3. So 2(r - s) could be 16 or -16.
Answer (B)
Answer: (B) 16
Question: The length of rectangle is thrice its breadth and its perimeter is 72 m, find the area of the rectangle?
(A) 432
(B) 376
(C) 299
(D) 324
(E) 111
Rationale: 2(3x + x) = 72
l = 36 b = 9
lb = 36 * 9
= 324
D
Answer: (D) 324
Question: Tom, working alone, can paint a room in 12 hours. Peter and John, working independently, can paint the same room in 6 hours and 2 hours, respectively. Tom starts painting the room and works on his own for two hour. He is then joined by Peter and they work together for two hour. Finally, John joins them and the three of them work together to finish the room, each one working at his respective rate. What fraction of the whole job was done by Peter?
(A) 5/3
(B) 1/3
(C) 7/3
(D) 4/9
(E) 3/5
Rationale: Let the time when all three were working together be t hours. Then:
Tom worked for t+4 hour and has done 1/12*(t+4) part of the job;
Peter worked for t+2 hour and has done 1/6*(t+2) part of the job;
John worked for t hours and has done 1/2*t part of the job:
1/12*(t+4)+1/6*(t+2)+1/2*t=1 --> multiply by 12 --> (t+4)+(2t+2)+6t=12 --> t=2/3;
Hence Peter has done 1/6*(2/3+2)=1/6 *8/3=8/18=4/9
Answer: D
Answer: (D) 4/9
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 5 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
(A) 480
(B) 487
(C) 481
(D) 729
(E) 600
Rationale: 1/x - 1/20 = -1/24
x = 120
120 * 5 = 480
Answer:E
Answer: (E) 600
Question: Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5%?
(A) 298
(B) 287
(C) 202
(D) 500
(E) 279
Rationale: (x*5*1)/100 + [(1500 - x)*6*1]/100 = 85
5x/100 + 90 – 6x/100 = 85
x/100 = 5
=> x =500
Answer:D
Answer: (D) 500
Question: If both 7^2 and 3^4 are factors of the number a*4^3*6^2*13^11, then what is the smallest possible value of a?
(A) 120
(B) 256
(C) 343
(D) 441
(E) 512
Rationale: The number a must include at least 3^2*7^2 = 441
The answer is D.
Answer: (D) 441
Question: The average of first twelve prime numbers which are odd is?
(A) 15.5
(B) 19.7
(C) 15.2
(D) 15.8
(E) 15.1
Rationale: Sum of first 12 prime no. which are odd = 236
Average = 236/12 = 19.7
Answer:B
Answer: (B) 19.7
Question: The difference between two numbers is 1365. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is :
(A) 240
(B) 270
(C) 295
(D) 360
(E) None
Rationale: Solution
Let the numbers be x and (x + 1365).
Then, x + 1365 = 6x + 15 ⇔ 5x = 1350 ⇔ x = 270.
Answer B
Answer: (B) 270
Question: 16,25,36,72,144,196,225
(A) 36
(B) 196
(C) 225
(D) 144
(E) 72
Rationale: Each of the numbers except 72 is a perfect square.
answer :E
Answer: (E) 72
Question: Of the 3,600 employees of Company X, 12/25 are clerical. If the clerical staff were to be reduced by 1/4, what percent of the total number of the remaining employees would then be clerical?
(A) 40%
(B) 22.2%
(C) 20%
(D) 12.5%
(E) 11.1%
Rationale: Let's see, the way I did it was
12/25 are clerical out of 3600 so 1728 are clerical
1728 reduced by 1/4 is 1728*1/4
so it reduced 432 people , so there is 1296 clerical people left
but since 432 people left, it also reduced from the total of 3600 so there are 3168 people total
since 1296 clerical left / 3168 people total
you get (A) 40%
Answer: (A) 40%
Question: Train W leaves New York at 7:00 am traveling to Boston at 80mph. Train B leaves Boston at 7:45 am traveling to New York at 70 mph on a parallel track. If the distance between New York and Boston is 210 miles, at what time will the two trains pass each other?
(A) 8:15 am
(B) 8:45 am
(C) 9:00 am
(D) 9:30 am
(E) Cannot be determined from the information given
Rationale: train W will cover 60 kms in 45 min at 7:45, the time when train B starts...
distance left to cover is 210-60=150..
combined speed=80+70=150..
so the trains meet in 1 hour i.e. 7:45 + 1 hr=8:45
B
Answer: (B) 8:45 am
Question: A car covers a distance of 10km in 12 minutes. If its speed is decreased by 5km/hr, the time taken by the car to cover the same distance will be?
(A) 10min 12sec
(B) 15min 45sec
(C) 13min 20sec
(D) 20min 4sec
(E) 30min 13sec
Rationale: Speed = 10*60/12 = 50km/hr
New speed = 50-5 = 45 km/hr
Time taken = 10/45 = 60*2/9 = 13min 20sec
Answer is C
Answer: (C) 13min 20sec
Question: Two cars cover the same distance at the speed of 50 and 62 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
(A) 250 km
(B) 214 km
(C) 224 km
(D) 216 km
(E) 204 km
Rationale: 50(x + 1) = 62x
X = 4.16
60 * 4.16 = 250 km
ANSWER:A
Answer: (A) 250 km
Question: The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is?
(A) 289
(B) 269
(C) 207
(D) 480
(E) 271
Rationale: 262 – 102 = 242
d1 = 20 d2 = 48
1/2 * 20 * 48 = 480
Answer: D
Answer: (D) 480
Question: A man walking at the speed of 4 kmph crosses a square field diagonally in 3 minutes. The area of the field is:
(A) 18000m2
(B) 20000m2
(C) 19000m2
(D) 25000m2
(E) 15000m2
Rationale: Length of the diagonal= Distance covered in 3 min. at 4 km/hr.
= (4000/ 60 *3)= 200m.
Therefore, Area of the field= 1/2 * diagonal2
= ½ * 200*200 = 20000 m2
ANSWER:B
Answer: (B) 20000m2
Question: During 2003, a company produced an average of 1,000 products per month. How many products will the company need to produce from 2004 through 2007 in order to increase its monthly average for the period from 2003 through 2007 by 200% over its 2003 average?
(A) 132,000
(B) 235,000
(C) 175,000
(D) 200,000
(E) 250,000
Rationale: Company produced 12*1000 = 12,000 products in 2003. If company produces X products from 2004 to 2007, then total amount of product produced in 4 years (2003 through 2007) is X+12,000. The gives the average of (X+12,000)/4.
This average needs to be 200% higher than that in 2003. In math terms, 12,000+200%(12,000) = 36,000. So:
(X+12,000)/4 = 36,000
X+12,000 = 144,000
X = 132,000
The answer is A.
Answer: (A) 132,000
Question: Of the families in City X in 1992, 60 percent owned a personal computer. The number of families in City X owning a computer in 1993 was 50 percent greater than it was in 1992, and the total number of families in City X was 3 percent greater in 1993 than it was in 1992. what percent of the families in City X owned a personal computer in 1993?
(A) 68.99%
(B) 66.55%
(C) 91.23%
(D) 77.77%
(E) 87.37%
Rationale: Say a 100 families existed in 1994 then the number of families owning a computer in 1994 - 60
Number of families owning computer in 1998 = 60 * 150/100 = 90
Number of families in 1998 = 103
The percentage = 90/103 * 100 = 87.37%.
ANSWER:E
Answer: (E) 87.37%