RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Water is poured into a cylindrical well at the rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. Which of the following best approximates the diameter of the tank in meters?
A.√10/2
B.√10
C.2√10
D.5
Answer: C.2√10
Explanation: Here's my re-worked solution:
volume = 22 = pi (r^2)(0.7)
22 = 22/7 (7/10)(r^2)
10 = r^2
r = sqrt(10)
Diameter=2*sqrt(10)
Ans: C
Question: A shopping mall charges 70 cents for the first hour of parking and $5 for each additional hour until the customer reaches 4 hours, after that the parking fee is $2 per hour. If a certain customer parked his in the mall for 7 hours and 30 minutes, how much is he going to pay?
A.$36.4
B.$12.
C.$13.
D.$14.5.
Answer: A.$36.4
Explanation: 0.70+5*5+2*5+0.70= $36.4
Answer: $36.4
Question: Tickets numbered from 1 to 20 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bearsa number which is a multiple of 3?
A.1/5
B.2/5
C.3/10
D.3/7
Answer: C.3/10
Explanation: Here, S = [1, 2, 3, 4, …., 19, 20]
Let E = event of getting a multiple of 3 = [3, 6, 9, 12, 15, 18]
P (E) = n (E) / n (S) = 6 / 20 = 3/10
C
Question: A bakery currently has 6 pies and 5 cakes in its inventory. The bakery’s owner has decided to display 5 of these items in the bakery’s front window. If the items are randomly selected, what is the probability that the display will have exactly 3 pies?
A.100/231
B.25/77
C.5/11
D.93/116
Answer: A.100/231
Explanation: The total number of ways to choose 5 from 11 is 11C5 = 462.
The number of ways that include 3 pies is 6C3*5C2 = 20*10 = 200
P(exactly 3 pies) = 200/462 = 100/231
The answer is A.
Question: What is the value of 3x^2 − 1.8x + 0.3 for x = 0.9?
A.−0.3
B.0
C.0.3
D.1.11
Answer: D.1.11
Explanation: 3x^2-1.8x+0.3 for x=0.5
=3(0.9*0.9)-2*0.9*(0.9)+0.3
=0.9*0.9+0.3
=0.81+0.3
=1.11
Correct Option : D
Question: 21, 9, 21, 11, 21, 13, 21, ?
A.11
B.17
C.19
D.15
Answer: D.15
Explanation: D
15
In this alternating repetition series, the number 21 is interpolated. If you exclude 21, the series increases by 2, beginning with the number 9.
Question: At Tom's party, there were five times as many females as males. There were three times as many adults as children. Which of the following could NOT be the number of people at the party?
A.384
B.258
C.216
D.120
Answer: B.258
Explanation: we have to work on the info and understand what that info takes us to...
1) there were five times as many females as males At Tom's party..
this means F=5M.. so total number=6M..
2) There were three times as many adults as children..
A=3C...
or total = 4C..
so the total is 4C or 6M..
since C and M have to be positive integers, we can say for sure that Total is a multiple of 4 and 6..
or Total is multiple of LCM of 4,6..
LCM of 4,6= 12..
lets see which number is not multiple of 12..
A. 384...12*32
B. 258... no
C. 216....12*18
D. 120....12*10
E. 72......12*6..
so B is our answer..
Question: The first, second and third terms of the proportion are 56, 16, 49. Find the fourth term.
A.10
B.14
C.40
D.50
Answer: B.14
Explanation: Explanation :
Let the fourth term be x.
Thus 56, 16, 49, x are in proportion.
Product of extreme terms = 56 x
Product of mean terms = 16 X 49
Since, the numbers make up a proportion
Therefore, 56 x = 16 49
or, x = (16 49)/56
or, x = 14
Therefore, the fourth term of the proportion is 14.
Answer : B
Question: If each year the population of the country grows by 50%, how many years will elapse before the population of the country doubles?
A.3
B.4
C.2
D.6
Answer: C.2
Explanation: Till Year 2000, population is 100 .
Year 2001: Population becomes 150 ............. 1 Year elapsed
Year 2002: Population > 200 ............. 2 Year elapsed
Answer:C
Question: A two-digit number exceeds the sum of the digits of that number by 18. if the digit at the unit’s place is double that digits in the ten’s place, what is the number ?
A.24
B.42
C.48
D.data inadequate
Answer: A.24
Explanation: Solution
Let the ten's digit be x. then, unit's digit = 2 x.
Number = 10 x + 2 x = 12 x, sum of digits = x + 2 x = 3 x.
∴ 12 x - 3 x = 18 ⇔ 9 x = 18 ⇔ x = 2.
Hence, required number = 12 x = 24
Answer A
Question: The average of 10 result is 42. Average of the first 7 of them is 30 and that of the last 7 is 80. Find the 8th result?
A.35
B.37
C.70
D.75
Answer: C.70
Explanation: Sum of all the 10 results = 10 * 42 = 420
Sum of the first 7 of them = 7 * 30 = 210
Sum of the last 7 of them = 7 * 80 = 560
So, the 8th number = 420+ 210 - 560= 70.
C
Question: Mother,her daughter and her grand child weighs 120 kg. daughter and her daughter(child) weighs 60 kg. child is 1/5th of her grand mother. What is the age of the daughter?
A.46
B.47
C.48
D.49
Answer: C.48
Explanation: mother + daughter + child = 120kg
daughter + child = 60kg
mother = 120 - 60 = 60kg
child = 1/5th of mother = (1/5)*60 = 12kg
So now daughter = 120 -(mother + child) = 120 - (60+12) = 48kg
ANSWER:C
Question: Plane leaves from Chelsea every 35 minutes from West Ham airport. Air hostess told Frank Lampard that the plane had left 25 minutes ago and the next plane for Chelsea will leave at 7:00 p.m.
At what time air hostess convey this information to Frank Lampard?
A.5:35 p.m
B.6:50 p.m
C.7:35 p.m
D.8:35 p.m
Answer: B.6:50 p.m
Explanation: Explanation:
Time of Frank Lampard last missed plane = 7:00 p.m - 35 min = 6:25 p.m
As this information has been given to Frank Lampard 25 minutes after the plane has already left, the air hostess gave the information at 6:25 p.m + 25 min = 6:50 p.m
Answer B
Question: Rohit spent 30 percent of his earning last month on rent and 20 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earning did Rohit have left over?
A.29%
B.35%
C.46%
D.47%
Answer: C.46%
Explanation: SayRohit's earning last month was $100.
Rohit spent 30 percent of his earning last month on rent --> $30 on rent;
20 percent less than what he spent on rent to purchase a new dishwasher --> $30*0.8=$24 on the dishwasher.
Left over amount 100 - (30 + 24) = $46
Answer: C
Question: A fruit seller had some oranges. He sells 40% oranges and still has 480 oranges. How many oranges he had originally?
A.800
B.710
C.720
D.730
Answer: A.800
Explanation: 60% of oranges = 480
100% of oranges =(480×100)/6=800
total oranges = 700
ANSWER : A
Question: If 2^5, 3^3, and 10^2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w?
A.26
B.39
C.120
D.65
Answer: C.120
Explanation: Here 156 has three two's
two three's
and one 10
rest of them must be in w
so w= 10*3*4 = 120
Smash C
Question: A sum of Rs. 350 made up of 110 coins, which are of either Re.1 or Re.5 denomination. How many coins are of Re.1?
A.50
B.60
C.65
D.54
Answer: A.50
Explanation: Rs.1 coins= 50 ;50*1=50
Rs.5 coins=60 ; 60*5=300
Total=50+300=350
So total Rs.1 coins are 50
ANSWER:A
Question: A car takes 4.5 hours to travel from A to B, which is 360 miles apart. What is the average speed of the car?
A.40
B.50
C.60
D.80
Answer: D.80
Explanation: Average speed= 360/4.5 hours
= 360/270
=1.33 miles per min
=80 miles per hour
Answer: D
Question: The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned?
A.19828.29
B.19828.2
C.19828.8
D.19828.88
Answer: C.19828.8
Explanation: Let the sum be Rs.P
P{ [ 1 + 8/100]2 - 1 } = 2828.80
P(8/100)(2 + 8/100) = 2828.80 [a2 - b2 = (a - b) ( a + b)] P
= 2828.80 / (0.08)(2.08)
= 1360/0.08 = 17000 Principal + Interest
= Rs.19828.80
Answer:C
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square.
A.200
B.300
C.400
D.Cannot be determined
Answer: D.Cannot be determined
Explanation: Let the side of the square be a cm. Let the length and the breadth of the rectangle be l cm and b cm respectively.
4a = 2(l + b)
2a = l + b
l . b = 480
We cannot find ( l + b) only with the help of l . b. Therefore a cannot be found .
Area of the square cannot be found.
Answer: Option D
Question: How many numbers from 10 to 10000 are exactly divisible by 9?
A.900
B.1000
C.1110
D.1200
Answer: C.1110
Explanation: 10/9 = 1 and 10000/9 = 1111 ==> 1111 - 1 = 1110. Therefore 1110
Answer : C
Question: If two numbers are in the ratio 7:2. If 5 is subtracted to both of the numbers then the ratio becomes 2:3then find the largest number?
A.26/17
B.37/17
C.35/17
D.25/17
Answer: C.35/17
Explanation: 7:2
7x - 5: 2x - 5 =2 : 3
3[7x - 5] =2[2x- 5]
21x - 15= 4x - 10
21x - 4x = 15 - 10
17x = 5, then x=5/17
Then the first number is = 7
7x = 35/17
Option C
Question: Panya prepared 4 different letters to 4 different addresses. For each letter, she prepared one envelope with its correct address. If the 4 letters are to be put into the four envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address?
A.1/24
B.1/8
C.1/4
D.1/3
Answer: D.1/3
Explanation: Total Panya# of ways - 4! = 24.
Desired:
A-Mapped to the only correct address----------x 1 way only
B-Mapped to other two incorrect addresses - x 2 ways
C-Mapped to other two incorrect addresses - x 2 ways
D-Mapped to other two incorrect addresses - x 2 ways
Therefore, 1*2*2*2/24 = 1/3.?
Question: saran professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
A.67 6/9%
B.54 1/2%
C.33 3/8%
D.11 1/9%
Answer: D.11 1/9%
Explanation: D
900 --- 100
100 --- ? => 11 1/9%
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
A.30/16 hours
B.80/13 hours
C.30/73 hours
D.30/13 hours
Answer: D.30/13 hours
Explanation: Speed downstream = 20 + 6 = 26 kmph.
Time required to cover 60 km downstream
= d/s = 60/26
= 30/13 hours.
Answer:D
Question: Ella and Frank race around a running track. Ella runs at a constant rate of one lap every 3 minutes and Frank runs at a constant rate of one lap every 5 minutes. If they both start at the same time, how many minutes will it take for Ella to get exactly one lap ahead of Frank?
A.5.5
B.6.5
C.7.5
D.8.5
Answer: C.7.5
Explanation: Let x be the number of minutes it takes for Ella to get one lap ahead.
Then Ella ran x/3 laps and Frank ran x/5 laps.
x/3 = 1+x/5
5x=15+3x
2x=15
x=7.5
The answer is C.
Question: A person spent Rs. 6,040 from his salary on food and 5,000 on house rent. After that he was left with 80% of his monthly salary. What is his monthly salary ?
A.55,200
B.65,200
C.75,200
D.85,200
Answer: A.55,200
Explanation: Total money spent on food and house rent = 6,040+5,000 = 11,040
Which is 100 - 80 = 20% of his monthly salary
∴ His salary = 11040x100/20 = 55200
Answer : A
Question: What is the smallest no. which must be added to 25268 so as to obtain a sum which is divisible by 11?
A.5
B.10
C.11
D.20
Answer: B.10
Explanation: For divisibility by 11, the difference of sums of digits at even and odd places must be either zero or divisible by 11.
For 25268, Difference =(2+2+8) -(5+6)=12-11=1.
The units digit is at odd place. So we add 10 to the number
=> 25268 +10= 25278
Now , (2+2+8) -(5+7)=12-12=0=>25268 is also divisible by 11
B
Question: 15 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
A.190
B.200
C.210
D.220
Answer: C.210
Explanation: Though 2*(15C2) is the correct approcah to do this, but for people like me who find Perm, Comb n Prob a nightmare, an easy approach can be used.
The first guy has to play 2 matches with the rest of 14, so he'll play 28 matches.
Similarly, second guy has to play with the rest of 13 as his 2 games with the first guy are already played. So he plays 26 matches.
This continues like this and the total matches are 28+26+24...+2
28+26+...+2 = 2(14+13+...+1) = 2((14*15)/2) = 14*15 = 210.
ANSWER:C
Question: In measuring the sides of a rectangle, one side is taken 10% in excess and other 5% in deficit. Find the error percentage in the area calculated from these measurements.
A.3.5%
B.2.4%
C.3%
D.4.5%
Answer: D.4.5%
Explanation: Say both sides of the rectangle are equal to 100 (so consider that we have a square). In this case the area is 100*100=10,000.
Now, the area obtained with wrong measurements would be 110*95=10,450, which is 4.5% greater than the actual area.
Answer: D.
Question: 10% people of a village in Sri Lanka died by bombardment, 20% of the remainder left the village on account of fear. If now the population is reduced to 3240, how much was it in the beginning?
A.A)3800
B.B)4200
C.C)4400
D.D)4500
Answer: D.D)4500
Explanation: X * (90/100) * (80/100) = 3240
X = 4500
ANSWER:D
Question: The ratio between the speeds of two Bullet trains is 7: 8. If the second Bullet train runs 460 kms in 4 hours, then the speed of the first train is:
A.100.6 km/hr.
B.37.25 km/hr.
C.90.25 km/hr.
D.94.25 km/hr.
Answer: A.100.6 km/hr.
Explanation: Let the speed of two bullet trains be 7x and 8x km/hr.
Then, 8x = (460/4) = 115
x = (115/8) = 14.375
Hence, speed of first bullet train = (7 x 14.375) km/hr = 100.6 km/hr.
A
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively. If they cross each other in 23 seconds, what is the ratio of their speeds?
A.1:2
B.3:2
C.3:1
D.1:3
Answer: B.3:2
Explanation: Speed =x and y resp
length of first = 27x
length of second train = 17y
related speed = x + y
time taken to cross each other = 23 s
27x+17y/x+y = 23
27x+17y = 23(x+y)
4x=6y
x/y=6/4=3/2
ANSWER B
Question: In how many ways can 5 white and 2 black chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct.
A.120
B.60
C.10
D.240
Answer: D.240
Explanation: 5 white chess pieces can be arranged in 5! ways and 2 black pieces can be arranged in 2 ! ways.
W_W_W_W
Number of ways = 5!*2! = 120 * 2 = 240
Answer D
Question: A, B and C have Rs.400 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
A.A)150
B.B)140
C.C)130
D.D)120
Answer: A.A)150
Explanation: A+B+C = 400
A+C = 200
B+C = 350
--------------
A+B+2C = 550
A+B+C = 400
----------------
C = 150
Answer:A
Question: Three positive integers a, b, and c are such that their average is 28 and a ≤ b ≤ c. If the median is (a + 13), what is the least possible value of c?
A.31
B.32
C.33
D.34
Answer: C.33
Explanation: Solution
Given Data
3 positive integers
Average of a, b, and c = 28.
So, a+b+c3a+b+c3 = 84 or a + b + c = 84
a ≤ b ≤ c
Median = (a + 13)
Median of these 3 numbers a, b, and c is ‘b’ because a ≤ b ≤ c
Therefore, b = a + 13
Objective To find the least value of 'c'
Theoretically, the least value of c is when c = b.
Therefore, a + (a + 13) + (a + 13) = 84 (b and c are equal and b, the median, is a + 13)
Or 3a = 58 or a = 19.33
So, b = c = 19.33+ 13= 32.33
However, we know that these numbers are all integers.
Therefore, a, b, and c cannot take these values.
So, the least value for c with this constraint is NOT likely to be when c = b
Let us increment c by 1. Let c = (b + 1)
In this scenario, a + (a + 13) + (a + 14) = 84
Or 3a = 57or a=19 The value of the numbers is an integer.
If a = 19, b = 32 and c = 33.
The least value for c that satisfies all these conditions is 33
Correct answer is choice C.
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
A.35
B.34
C.36
D.32
Answer: C.36
Explanation: Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 * 5/18 = 10 m/sec.
Distance to be covered = 240 + 120 = 360 m.
Time taken = 360/10 = 36 sec.
Answer: C
Question: What will come in place of the x in the following Number series? 5,28,57,88,125
A.156
B.159
C.166
D.170
Answer: C.166
Explanation: 28=23+5
57=29+28
88=31+57
125=37+88
166=41+125
=166
C
Question: JAMES school has 2000 GIRLS and 5000 BOYS. What is the percentage increase from GIRLS to total attendance and BOYS to total attendance?
A.40%
B.10%
C..4%
D.50%
Answer: A.40%
Explanation: Ratio of GIRLS to total attendance (2/7)
Ratio of BOYS to total attendance (5/7)
percentage increase is (difference/initial quantity)*100
(2/7)/(5/7 )* 100= 40%
Correct answer is A
Question: A train passes a platform in 22 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is
A.40
B.50
C.60
D.30
Answer: D.30
Explanation: Speed of the train = 54 km/hr = (54×10)/36 m/s = 15 m/s
Length of the train = speed × time taken to cross the man = 15×20 = 300 m
Let the length of the platform = L
Time taken to cross the platform = (300+L)/15
=> (300+L)/15 = 12
=> 300+L = 15×22 = 330
=> L =330-300 = 30 meter
Answer is D.
Question: A box contains twelve bulbs out of which seven are defective. If seven bulbs are chosen at random, find the probability that all the four bulbs are defective?
A.1/127
B.1/792
C.1/789
D.1/689
Answer: B.1/792
Explanation: Out of twelve, five are good and seven are defective. Required probability
= 7C7/12C7
= 1/792
Answer: B
Question: The remainder obtained when a prime number greater than 3 is divided by 3 is
A.a) 1 or 3
B.b) 2 or 4
C.c) 3 or 5
D.d) 4 or 5
Answer: B.b) 2 or 4
Explanation: The easiest way to answer this question is probably to pick numbers. Use the next two prime numbers greater than 3, i.e. 7 and 5:
7/3 = 1 + remainder of 4
5/3 = 1 + remainder of 2
This is already sufficient to see that answer choice b) is correct.
B
Question: The number of livestock in a farm at the beginning of year 2015 was 100,000. During the year, the number increased by p%. During the next year 2016, there was a famine and the number decreased by q%. A census at the end of year 2016 revealed that the number of livestock in the farm was 100,000. Which of the following expressions is correct?
A.q > p
B.p > q
C.p = q
D.With the exception of 1 instance, p will be equal to q
Answer: B.p > q
Explanation: Number plugging in will be best strategy for this question.
Let p = 5%,
Per the question 100000(1.05)(1-q/100) = 100000 ---> q = 4.7%. Thus p > q and hence B is the correct answer.
Question: The average of 3 consecutive odd numbers is 30. What is the difference between the highest and lowest numbers?
A.5
B.6
C.8
D.4
Answer: D.4
Explanation: Let the numbers be x, x+2, x+4
Then, (x+ x+2+ x+4)/3 = 30
x = 28
Required answer is = 28+4-28 = 4
Answer is D
Question: x and y are positive integers of Q. If 1/x + 1/y < 2, which of the following must be true?
A. x + y > 4
B. xy>1
C. x/y + y/x < 1
D. (x - y)^2 > 0
Answer: B. xy>1
Explanation: Answer is B:
1/X + 1/Y < 2
The maximum value of 1/X is 1 because if X equals any other number greater than one it will be a fraction. The same is true with 1/Y.
So 1/X and 1/Y will always be less than 2 as long as both X and Y are not both equal to one at the same time.
Another way of putting it is:
X*Y>1.B
Question: Which one of the following is a prime number?
A.55
B.2
C.74
D.25
Answer: B.2
Explanation: 2 is divisible by 1 and itself So, it is a prime number.
B
Question: If p^2 – 13p + 40 = a, and p is a positive integer between 1 and 10, inclusive, what is the probability that a < 0?
A.1/10
B.1/5
C.2/5
D.3/5
Answer: B.1/5
Explanation: p2 – 13p + 40 = a
so (p – 8)(p – 5) = a
For q to be negative, the expressions (p – 8) and (p – 5) must have opposite signs. Which integers on the number line will yield opposite signs for the expressions (p – 8) and (p – 5)? Those integers in the range 5 < p < 8 (notice 5 and 8 are not included because they would both yield a value of zero and zero is a nonnegative integer). That means that there are only two integer values for p, 6 and 7, that would yield a negative q. With a total of 10 possible p values, only 2 yield a negative q, so the probability is 2/10 or 1/5.
The correct answer is B.
Question: Two numbers are in the ratio of 6 : 8. If 10 is subtracted from each, the new numbers are in the ratio 16 : 32. Find the smaller number.
A.22
B.12
C.38
D.15
Answer: D.15
Explanation: Explanation:
Let the number be 6x and 8x.
Then, (6x – 10) / (8x – 10) = 1 / 2
2 (6x – 10) = (8x – 10)
12x – 20 = 8x – 10
4x = 10
x = 2.5
The smaller number = (6 x 2.5) = 15
ANSWER D
Question: There are 6 ball in bag out of them 4 green and 2 red, randomly picked two boll one by one so find the probabilty atleast one picked boll will be red?
A.1/5
B.2/5
C.3/5
D.4/5
Answer: C.3/5
Explanation: probality of selecting 1 red + probality of selecting 2 red =((2c1*4c1)/6c2)+((2c2)/(6c2))=3/5
ANSWER:C
Question: A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is
A.400 kg
B.560 kg
C.600 kg
D.640 kg
Answer: C.600 kg
Explanation: Solution
ratio of 1st and 2nd parts = 4 : 6 = 2 : 3.
Quantity of 2nd kind = (3/5 x 1000)kg = 600 kg.
Answer C
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $29. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
A.180xy
B.261/(xy)
C.20xy
D.20xy/9
Answer: B.261/(xy)
Explanation: The area of the carpet in feet is xy.
The area in square yards is xy / 9.
The price per square yard is 29 / (xy/9) = 261/(xy).
The answer is B.
Question: An airplane travels 4362 km against the wind in 6 hours and 5322 km with the wind in the same amount of time. What is the rate of the plane in still air ?
A.803km/hr
B.805km/hr
C.809km/hr
D.807km/hr
Answer: D.807km/hr
Explanation: Let the speed of the air plane in still air be x km/hr
And the speed of the wind be y km/hr.
Then speed of the airplane going with the wind = (x + y) km/hr
and speed of the airplane going against the wind = (x - y) km/hr.
We know that,
Distance = Speed × Time
or, Speed = Distance
Time
According to the problem,
An airplane travels 4362 km against the wind in 6 hours
x - y = 4362/6
or, x - y = 727 ----------- (1)
Again, the airplane travels 5322 km with the wind in the same amount of time i.e. 6 hours
x + y = 5322/6
or, x + y = 887 ----------- (2)
Now add (1) and (2) we get,
x - y = 727
x + y = 887
2x = 1614
or, 2x/2 = 1614/2, (Divide both sides by 2)
or, x = 807
Now substitute the value of value of x = 807 in equation (2) we get,
807 + y = 887
-807 -807, (Subtract 407 from both sides)
y = 80
Answer: Rate of the plane in still air = 807 km/hr
correct answer D)807 km/hr
Question: A train covers a distance of 12 km in 10 min. If it takes 8 sec to pass a telegraph post, then the length of the train is?
A.100
B.110
C.160
D.130
Answer: C.160
Explanation: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec.
Length of the train = 20 * 8 = 160 m.
Answer: Option C
Question: You get 1 & -0.25 for each right and wrong answer. Answring 72 ques u get 47. How many ans were wrong?
A.10
B.20
C.25
D.30
Answer: B.20
Explanation: let x be cort,thn 72-x are wrong.
x(1)+(72-x)(-1/4)=47
x=52,72-52=20.
so,20 are wrong.
ANSWER:B
Question: How many numbers are divisible by 4 between 1 and 100.
A.24
B.23
C.22
D.21
Answer: A.24
Explanation: Numbers divisible by 4 till 100=(100/4)=25
But we should not consider 100 as we are asked to find the number between 1 to 100 which are divisible by 4.
So answer is 24 numbers.
Option:A
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 215 m long?
A.40
B.46
C.88
D.77
Answer: B.46
Explanation: :
Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 215 = 575 m
Required time = 575 * 2/25 = 46 sec
Answer:B
Question: You have been given a physical balance and 7 weights of 43, 45, 30, 33, 28, 37 and 55 kgs. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 145 kgs.
A.145
B.143
C.147
D.141
Answer: B.143
Explanation: 55 + 43 + 45 = 143
Answer: B