RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
A.127 m
B.277 m
C.245 m
D.217 m
Answer: C.245 m
Explanation: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 => 2(130 + x) = 750 => x = 245 m.
Answer: C
Question: How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length
A.33
B.44
C.55
D.77
Answer: C.55
Explanation: T = (660 + 165)/54 * 18/5
T = 55
Answer: C
Question: Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?
A.2266
B.7767
C.2522
D.1677
Answer: C.2522
Explanation: A = 1600(21/20)3 = 2522
Answer:C
Question: The speed of a boat in upstream is 40 kmph and the speed of the boat downstream is 90 kmph. Find the speed of the boat in still water and the speed of the stream?
A.25 kmph
B.76 kmph
C.12 kmph
D.97 kmph
Answer: A.25 kmph
Explanation: Speed of the boat in still water
= (40+90)/2
= 65 kmph. Speed of the stream
= (90-40)/2
= 25 kmph.
Answer:A
Question: A pharmaceutical company received $5 million in royalties on the first $20 million in sales of and then $10 million in royalties on the next $108 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
A.8%
B.26%
C.45%
D.52%
Answer: B.26%
Explanation: (10/108)/(5/20) = 20/27 = 74% it means that 10/108 represents only 74%. Therefore a decrease of 26%.
Answer B
Question: A driver goes on a trip of 70 kilometers, the first 35 kilometers at 48 kilometers per hour and the remaining distance at 24 kilometers per hour. What is the average speed of the entire trip in kilometers per hour?
A.30
B.32
C.35
D.36
Answer: B.32
Explanation: The time for the first part of the trip was 35/48 hours.
The time for the second part of the trip was 35/24 hours.
The total time fro the trip was 35/48 + 35/24 = 105/48 = 35/16 hours.
The average speed for the trip was 70 / (35/16) = 32 kph
The answer is B.
Question: How many 4 digit numbers can be formed using 0,1,2,3,4,5 and divisible by 4
A.190
B.200
C.210
D.220
Answer: C.210
Explanation: since a number cannot start with 0 so, 1st place of of 4 digit number can be filled in 5 ways i.e., 1,2,3,4,5.
second place of 4 digit number can be filled in 6 ways i.e., 0,1,2,3,4,5
since 4 digit numbers should be divisible by 4 so possibility of last 2 places are (04,12 20,24,32,40,52) i.e., 7 possibilities.
Therefore total number of 4 digut number divisible by 4 are- 5*6*7=210
ANSWER:C
Question: For what value of x between − 7 and 7, inclusive, is the value of x^2 − 10x + 16 the greatest?
A.− 7
B.− 2
C.0
D.2
Answer: A.− 7
Explanation: we can see from the statement that two terms containing x, x^2 will always be positive and -10x will be positive if x is -ive..
so the equation will have greatest value if x is -ive, and lower the value of x, greater is the equation.
so -7 will give the greatest value..
ans A
Question: The average (arithmetic mean) of a normal distribution of a school's test scores is 65, and standard deviation of the distribution is 6.5. A student scoring a 73 on the exam is in what percentile of the school?
Choices
A.63rd percentile
B.68th percentile
C.84th percentile
D.96th percentile
Answer: C.84th percentile
Explanation: (78-65)/6.5 = 2 sigmas or 95.5th percentile for +-2 sigma but in our case we need only upper tail, so it's 100 - (100 - 95.5)/2 = 87th percentile
C
Question: Find the missing number in the sequence
8 ? 125 343 1331
A.9
B.2
C.4
D.6
Answer: A.9
Explanation: A
9
cube of prime numbers
2*2*2 => 8
3*3*3 => 27 ...Answer
5*5*5 => 125
7*7*7 => 343
11*11*11 =>1331
Question: If c is 30% of a and 25% of b, what percent of a is b?
A. 2.5%
B. 15%
C. 120%
D. 35%
Answer: C. 120%
Explanation: Answer = C
30a/100 = 25b/100
b = 30a/25 = 120a/100 = 120%
Question: If the speed of a man is 57 km per hour, then what is the distance traveled by him in 30 seconds ?
A.275m
B.360m
C.475 m
D.420 m
Answer: C.475 m
Explanation: The distance traveled in 30 sec = 57*(5/18) *30 =475m
ANSWER:C
Question: How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 7 m x 6 m x 22.5 cm?
A.6400
B.6410
C.5600
D.6500
Answer: C.5600
Explanation: Number of bricks = Volume of Wall/Volume of Bricks
=700x600x22.5/25x11.25x6= = 5600
answer :C
Question: X and Y started a business by investing Rs.36000 and Rs.42000 respectively after 4 months Z joined in the business with an investment of Rs.48000, then find share of Z in the profit of Rs.14190 ?
A.3200
B.4000
C.3250
D.4128
Answer: D.4128
Explanation: Ratio of investment, as investments is for different time.
Investment x Number of units of time.
Ratio of investments X : Y : Z = 36000 : 42000 : 48000 => 6 : 7 : 8.
X = 6 x 12 Months = 72, Y = 7 x 12 = 84, Z = 8 X 8 = 64 => 18 : 21 : 16.
Ratio of investments => X : Y : Z = 18 : 21 : 16.
Investment Ratio = Profit sharing Ratio.
Z = 14190 Ã— 16/55 = Rs.4128.
Share of Z in the profit is Rs.4128.
Option D
Question: An outlet pipe can empty 2/3 of a cistern in 12 minutes. In 4 minutes, what part of the cistern will be emptied?
A.1/3
B.2/5
C.2/7
D.2/9
Answer: D.2/9
Explanation: 4/12 * 2/3 = 2/9
The answer is D.
Question: A certain company consists of 4 managers and 8 non-managers. How many different teams of 3 employees can be formed in which at least one member of the team is a manager and at least one member of the team is not a manager? (Two groups are considered different if at least one group member is different)
A.84
B.108
C.160
D.270
Answer: C.160
Explanation: Total # of teams of 3 possible is 12C3=220
# of teams with only managers or only non-managers is: 4C3+8C3=4+56=60;
# of teams of 3 with at least one manager or at least one non-manager is: 220-60=160.
ANSWER:C
Question: 6) A marketing firm determined that , of 240 households surveyed, 80 used neither Brand A nor Brand B soap.60 used only Brand A soap and for every household that used both brands of soap, 3 used only brand B soap.how many of the 200 household surveyed used both brands of soap?
A.a) 15
B.b) 20
C.c) 25
D.d) 40
Answer: C.c) 25
Explanation: 160 = At least one of Soap A or B
Both brands = x
Brand B = 3x
=> 60 + x + 3x = 160
=> 4x = 100
=> x = 25
Answer - C
Question: If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is :
A.52 km
B.62 km
C.55 km
D.50 km
Answer: D.50 km
Explanation: Sol.
Let the actual distance travelled be x km. Then,
x/10 = (x+20)/14
⇔ 14x = 10x + 200
⇔ 4x = 200
⇔ x = 50 km.
Answer D
Question: A child must place 7 different toys in 4 different bins. If any of the toys can go in any of the bins, in how many ways can the child place the toys into the bins?
A.6^6
B.6^4
C.4^7
D.4^4
Answer: C.4^7
Explanation: there are 4 different bins and each of the toy can go to any of these bins..
so answer 7âˆ—7âˆ—7âˆ—7âˆ—7âˆ—7âˆ—7=4^7
ANSWER:C
Question: In an increasing sequence of 8 consecutive even integers, the sum of the first 4 integers is 268. What is the sum of all the integers in the sequence?
A.552
B.568
C.574
D.586
Answer: B.568
Explanation: In an increasing sequence of 8 consecutive even integers, the sum of the first 4 integers is 268. What is the sum of all the integers in the sequence?
x+x+2+x+4+x+6=268
x=64
64+66+68+70+72+74+76+78=568
ANSWER:B
Question: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much
Look at this series: 1.2, 2.4, 3.6, 4.8, ... What number should come next?
A.4.7
B.3.6
C.4.9
D.6.0
Answer: D.6.0
Explanation: 6.0
In this simple addition series, each number increases by 1.2
Answer : D
Question: A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is?
A.3.34
B.3.37
C.3.35
D.3.76
Answer: A.3.34
Explanation: Area of the path = Area of the outer circle - Area of the inner circle
= ∏{4/2 + 25/100}2 - ∏[4/2]2
= ∏[2.252 - 22] = ∏(0.25)(4.25) { (a2 - b2 = (a - b)(a + b) }
= (3.14)(1/4)(17/4) = 53.38/16 = 3.34 sq m
Answer: A
Question: 39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
A.16
B.19
C.13
D.14
Answer: C.13
Explanation: Let the required number of days be X.
Less persons, More days (Indirect Proportion)
More working hours per day, Less days (Indirect Proportion)
Persons 30	:	39
Working hours/day	6	:	5 :: 12 : X
THEREFORE 30 x 6 x X = 39 x 5 x 12
X =(39 x 5 x 12)/(30 x 6)
X = 13.
ANSWER:C
Question: Jack and Jill work at a hospital with 5 other workers. For an internal review, 2 of the 7 workers will be randomly chosen to be interviewed. What is the probability that Jack and Jill will both be chosen?
A. 1/3
B. 1/4
C. 1/21
D. 3/8
Answer: C. 1/21
Explanation: 1/7C2=1/21.
Answer: C.
Question: The ratio, by volume, of bleach to detergent to water in a certain solution is 4 : 40 : 100. The solution will be altered so that the ratio of bleach to detergent is tripled while the ratio of detergent to water is halved. If the altered solution will contain 300 liters of water, how many liters of detergent will it contain?
A.80
B.70
C.60
D.40
Answer: C.60
Explanation: B:D:W = 4:40:100
Bnew / Dnew = (1/3)*(4/40) = (1/30)
Dnew / Wnew = (1/2)*(40/100) = (1/5)
Wnew = 300
Dnew = Wnew/5 = 300/5 = 60
So, answer will be
C
Question: The ratio between the sale price and the cost price of an article is 7:5. What is the ratio between the profit and the cost price of that article?
A.2 : 5
B.2 : 7
C.5 : 2
D.7 : 2
Answer: A.2 : 5
Explanation: Solution
Let C.P. = Rs. 5x and	S.P. = Rs.7x.
Then, Gain = Rs. 2x.
∴ Required ratio	= 2x : 5x
‹=›2 : 5
Answer A
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
A.9
B.10
C.12
D.20
Answer: B.10
Explanation: Due to stoppages, it covers 9 km less.
Time taken to cover 9 km =(9/54 x 60) min	= 10 min
Answer:B
Question: What is the sum of all possible solutions to |x - 3|^2 + |x - 3| = 42 ?
A.4
B.3
C.5
D.6
Answer: C.5
Explanation: Denote |x - 3| as y: y^2 + y = 42 --> y = -7 or y = 6. Discard the first solution since y = |x - 3|, so it's an absolute value and thus cannot be negative.
y = |x - 3| = 6 --> x = 9 or x = -4. The sum = 5.
Answer: C.
Question: Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?
A.118 m
B.128 m
C.231 m
D.175 m
Answer: D.175 m
Explanation: D
175 m
RS = 40 – 22 = 18 * 5/18 = 5 mps
T = 60 sec
D = 5 * 60 = 300 m
(-) 125
--------
175 m
Question: When y is divided by 288, the remainder is 44. What is the remainder when the same y is divided by 24?
A.20
B.21
C.23
D.25
Answer: A.20
Explanation: y = 288*a + 44 = (24*12)*a + 24 + 20
The answer is A.
Question: Tough and Tricky questions: Combinations.
The product of the digits of the four-digit number h is 30. No two digits of h are identical. How many different numbers are possible values of h?
A.24
B.30
C.36
D.42
Answer: A.24
Explanation: Answer = A= 24
Let number =abcd
Given that a*b*c*d = 30
a,b,c,d can be 1,2,3,5
Number of ways = 4*3*2 = 24
Question: A train sets off at 9:00 am at the speed of 70 km/h. Another train starts at 10:30 am in the same direction at the rate of 84 km/h. At what time will the second train catch the first train?
A.4:30
B.5:00
C.5:30
D.6:00
Answer: D.6:00
Explanation: In one hour and thirty minutes the first train travels 105 km.
The second train catches the first train at a rate of 84 km/h - 70 km/h = 14 km/h.
The second train will catch the first train in 105/14 = 7.5 hours, so at 6:00 pm.
The answer is D.
Question: Train P crosses a pole in 30 seconds and train Q crosses the same pole in one minute and 15 seconds. The length of train P is three-fourths the length of train Q. What is the ratio of the speed of train P to that of train Q?
A.15:8
B.12:0
C.13:9
D.14:2
Answer: A.15:8
Explanation: Given that train P crosses a pole in 30 seconds and train Q crosses the same pole in one minute and 15 seconds.
Let the length of train P be LP and that of train Q be LQ
given that LP = 3/4 LQ
As the train P and Q crosses the pole in 30 seconds and 75 seconds respectively,
=> Speed of train P = VP = LP/30
Speed of train Q = VQ = LQ/75
LP = 3/4 LQ
=> VP = 3/4 LQ/(30) = LQ/40
Ratio of their speeds = VP : VQ
= LQ/40 : LQ/75 => 1/40 : 1/75 = 15 : 8
Answer:A
Question: A salesmanâ€™s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 700 more than that by the previous schema, his sales were worth?
A.s. 8,000
B.s. 9,000
C.s. 20,000
D.s.10,000
Answer: A.s. 8,000
Explanation: [1000 + (X-4000) * (2.5/100)] - X * (5/100) = 700
X = 8000
ANSWER A
Question: Water boils at 212°F or 100°C and ice melts at 32°F or 0°C . If the temperature of a pot of water is 50°C, what is the temperature of the pot of water in °F?
A.101°F
B.108°F
C.116°F
D.122°F
Answer: D.122°F
Explanation: Let F and C denote the temperature in Fahrenheit and Celsius respectively.
(F - 32) /(212 - 32) = (C - 0)/(100 - 0)
F = 9C/5 + 32
F = 9(50)/5 + 32 = 122°F
The answer is D.
Question: When x + p is divided by p + 1, the quotient is n and there is no remainder. Which of the following must be the value of x?
A.n(p +1)
B.n(p − 1)
C.p(n + 1)
D.p(n - 1) + n
Answer: D.p(n - 1) + n
Explanation: Given in question (x+p)/p+1= n
=> x+p= n(p+1)
=>x= np+n-p
or x= np-p+n
Now we are good to check the options
x= p(n-1) + n
Answer D
Question: Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 35.1 kg of zinc has been consumed in it?
A.78 kg
B.60 kg
C.64 kg
D.70 kg
Answer: A.78 kg
Explanation: Sol.
For 9 kg Zinc, mixture melted = (9+11) kg.
For 35.1 kg Zinc, mixture, melted = [20/9 x 35.1] kg
= 78 kg.
Answer A
Question: An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate
when the clock shows 2 o'clock in the afternoon?
A.180 degrees
B.190 degrees
C.200 degrees
D.280 degrees
Answer: A.180 degrees
Explanation: Angle traced by the hour hand in 6 hours = ( 360/12 * 11/3 )degrees
=180 degrees
A
Question: A work could be completed in 100days by x workers. However, due to the absence of 10workers, it was completed in 110days. The original no.of workers was:
A.100
B.120
C.110
D.130
Answer: C.110
Explanation: sax Letlheo g alnumberofworkers hex
x workers can do the wor - 100 days
(x — 10) workers can do the work in 110 days
4 100x 1u1x— 10)
1100 Q x 110
C
Question: There are 300 giraffes at a large zoo. The number of giraffes is 3 times the number of all the other animals combined. How many more giraffes are there than non giraffes animals at the zoo?
A.400
B.360
C.300
D.290
Answer: D.290
Explanation: Answer is D.
Total giraffes= 300 = 3 * Other Animals (X)
or X = 10.
So, Difference in giraffes and X = 300-10 = 290.
Question: Find the ratio in which rice at Rs.7.20 a kg be mixed with rice at Rs.5.80 a kg to produce a mixture worth Rs.6.30 a kg?
A.5 : 9
B.2 : 3
C.3 : 4
D.4 : 5
Answer: A.5 : 9
Explanation: Solution
Required ratio = 50 : 90 = 5 : 9
Answer A
Question: A customers identification code consists of a vowel followed by a 3-digit number greater than 200. Exactly 2 of the 3 digits in the code should be identical. How many different codes is it possible to form?
A.211
B.216
C.1075
D.1080
Answer: C.1075
Explanation: A customers identification code will be of the type -,-,-,-
first digit can be selected from any of the 5 vowels in 5C1 ways
now for the remaining three digit lets consider the following two cases
case 1: when the number is greater than 200 but less than 300
number will be of the type 2,_,_. now suppose repeating number is same as first digit number i.e. 2. and the third number is one of the remaining 9 numbers (we are rejecting 2 here, because it will result in 222, which is not acceptable as per the given condition). thus these two number can arrange themselves in two blank spaces in 2! ways. hence total number of numbers in which repeating digit is same as the first digit = 1.9.2! =18
now, suppose that repeating number is different than first digit. thus possible case in this case are 8 as listed below:
211
233
244
255
266
277
288
299
here again we have rejected 200( because number must be greater than 200) and 222 ( exactly two repeating digits are allowed)
thus total possible cases are 18 + 8 =26
case 2: number ranging from 300 to 999
here for first digit we have 7 cases (3,4,5,6,7,8,9)
now if the repeating number is same as the first number then we will have 18 cases ( same reasoning as mentioned in the previous case)
if the repeating number is different than first digit number then we will have 9 cases ( because here number ending with two zeros are allowed)
hence total number of ways = 7(18+9) = 189
thus different number of codes = 5(189+26) = 1075
hence C
Question: A bowl of fruit contains 12 apples and 23 oranges. How many oranges must be removed so that 60% of the pieces of fruit in the bowl will be apples?
A. 3
B. 6
C. 15
D. 17
Answer: C. 15
Explanation: Number of apples = 14
number of oranges = 23
let number of oranges that must be removed so that 60% of pieces of fruit in bowl will be apples = x
Total number of fruits after x oranges are removed = 12+(23-x) = 35-x
12/(35-x) = 6/10
=>20 = 35-x
=>x= 15
Answer C
Question: The sum of a number and its reciprocal is one-fifth of 26. What is the sum of that number and its square.
A.3
B.4
C.5
D.6
Answer: C.5
Explanation: Explanation:
Let the number be x. Then,
x + 1/x = 26/5
=> (x2 + 1)/x = 26/5
=> 5x2 - 26x + 5 = -0
=> (x - 5)(5x - 1) = 0
=> x = 5 or 1/5
Answer: Option C
Question: The average marks scored by Ganesh in English, Science, Mathematics and History is less than 20 from that scored by him in English, History, Geography and Mathematics. What is the difference of marks in Science and Geography scored by him?
A.80
B.50
C.60
D.Data inadequate
Answer: A.80
Explanation: E+H+G+M/4âˆ’E+S+M+H/4=20
â‡’ G - S = 80
Answer A
Question: At the opening of a trading day at a certain stock exchange, the price per share of stock K was $10. If the price per share of stock K was $15 at the closing of the day, what was the percent increase in the price per share of stock K for that day?
A.1.4%
B.50%
C.11.1%
D.12.5%
Answer: B.50%
Explanation: Opening = 10
Closing = 15
Rise in price = 5
So, percent increase = 5/10 * 100 = 50%
Answer : B
Question: A train covers a distance of 20 km in 10 minutes. If its speed is decreased by 10 km/hr, the time taken by it to cover the same distance will be?
A.20min 15sec
B.11min 30sec
C.15min 20sec
D.12min 10sec
Answer: B.11min 30sec
Explanation: Speed = 20*60/10 = 120 km/hr
new speed = 120-10 = 110 km/hr
time taken = 20/110 = 60*2/11 = 11 min 30 sec
Answer is B
Question: At an international conference, “Yellow” world countries and “Blue” world countries are the only participants. The ratio of “Yellow” world participants to “Blue” world participants is 3:2. If one-third of “Yellow” world participants are left-handed and two-thirds of “Blue” world participants are left-handed, then what is the fraction of the participants who are left-handed?
A.7
B.7/15
C.5/8
D.9/2
Answer: B.7/15
Explanation: Yellow: Blue = 3:2
Let Yellow = 3x and Blue = 2x
1/3 of Yellow are left handed => 1/3 * 3x = 3x/3 Yellow left handed
2/3 of Blue are left handed => 2/3 *2x = 4x/3 blue left handed
fraction of participants who are left handed = total left handed/ total participants = (yellow left handed + blue left handed)/total participants = (3x/3 + 4x/3)/(3x+2x) = (7x/15x) = 7/15
Answer : B
Question: A salesman gets commission on total sales at 9%. If the sale is exceeded Rs.10,000 he gets an additional commission as bonus of 3% on the excess of sales over Rs.10,000. If he gets total commission of Rs.1380, then the bonus he received is:
A.22
B.120
C.388
D.377
Answer: B.120
Explanation: Explanation:
Commission up to 10000 = \inline 10000\times \frac{9}{100} = 900
Again after 10000,
Commission : Bonus
9 : 3
\inline \Rightarrow 3x : x
\therefore Bonus = \inline (1380-900)\times \frac{1}{4}= Rs.120
Answer: B) Rs.120
Question: I. l-14, l, l, l, l+14
II. b, b+1, b+2, b+3, b+4
III. c, c, c, c, c
The data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation in which of the following?
A.I, II, III
B.I, III, II
C.II, III, I
D.III, I, II
Answer: A.I, II, III
Explanation: S.D is a non-negative entity. Also, for a given set with all the elements same, the S.D is Zero(It is zero even if there is only one element in the set too). From the given sets, we can see that the last set has a standard deviation of zero. Also, because the other sets can not have all the terms equal for any values of l or b, thus the S.D for the third set(III) has to be the minimum. Select the option which has III in the end.
A.
Question: Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 3% more. She would get how much?
A.9920
B.96288
C.26667
D.1662
Answer: A.9920
Explanation: (8000*3*3)/100 = 720
9200
--------
9920
Answer:A
Question: Ajay can walk 7km in 1 hour. In how many hours he can walk 80km?
A.5hrs
B.11.4hrs
C.15.5hrs
D.20.4hrs
Answer: B.11.4hrs
Explanation: 1 hour he walk 8km
he walk 80km in = 80/7* 1 = 11.4hours
Answer is B
Question: Emily cut two circles from a sheet of colored paper measuring 8” by 12”. One circle had a
radius of 3 inches and the other had a radius of 2.5 inches. How many square inches of paper are
left over?
A.48.11 sq. in.
B.58.11 sq. in.
C.68.11 sq. in.
D.78.11 sq. in.
Answer: A.48.11 sq. in.
Explanation: 8 x 12 = 96 sq. in. area of paper
3.14(3)2 = 28.26 sq. in. area of one circle
3.14(2.5)2 = 19.625 or 19.63 sq. in. rounded
area of other circle
28.26 + 19.63 = 47.89 sq. in. used for circles
96 - 47.89 = 48.11 sq. in. left over
correct answer A
Question: A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast?
A.7500
B.5000
C.6000
D.3500
Answer: A.7500
Explanation: Explanation:
35%-----------L
65%-----------W
------------------
30%----------2250
100%---------? => 7500
ANSWER IS A
Question: A man can row 4.5 km/hr in still water. It takes him twice as long to row upstream as to row downstream. What is the rate of the current ?
A.1.9
B.1.7
C.1.2
D.1.5
Answer: D.1.5
Explanation: Speed of boat in still water (b) = 4.5 km/hr. Speed of boat with stream (Down Stream), D = b + u Speed of boat against stream (Up stream), U = b – u It is given upstream time is twice to that of down stream. ⇒ Downstream speed is twice to that of upstream. So b + u = 2(b – u) ⇒ u =b/3 = 1.5 km/hr.
Answer: D
Question: Two friends A and B are running up hill and then to get down! length of road is 440 yards. A on his return journey met B going up at 20 yards from top, A has finished the race 5 minutes earlier than B, then how much time A had taken to complete the race.
A.50 minutes
B.52.5 minutes
C.55 minutes
D.54.5 minutes
Answer: B.52.5 minutes
Explanation: Explanation :
When A travels 460m (=440+20),
B travels 420m (=440-20). So, ratio of speed = 460:420
= 23:21.
Let A's speed be 23x, and that of B's be 21x.
=> 23x = ((2 * 440) / t) which implies 23t = 880/x;
=> 21x = ((2 * 440) / (t+5)) which implies 21(t+5) = 880/x.
From these two equations, 23t = 21(t+5). Solving, t = 52.5
Hence (B) is the correct answer.
Answer : B
Question: The speed of a boat in upstream is 20 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
A.10 kmph
B.11 kmph
C.16 kmph
D.30 kmph
Answer: D.30 kmph
Explanation: Speed of the boat in still water = (20+80)/2 = 50 kmph. Speed of the stream = (80-20)/2 = 30 kmph.Answer: D