RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Due to construction, the speed limit along an 5-mile section of highway is reduced from 52 miles per hour to 36 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
A.A) 3.12
B.B) 8
C.C) 10
D.D) 2.57
Answer: D.D) 2.57
Explanation: Old time in minutes to cross 5 miles stretch = 5*60/52 = 5*15/13 = 5.76
New time in minutes to cross 5 miles stretch = 5*60/36 = 5*5/3 = 8.33
Time difference = 2.57
Ans:D
Question: A train is running with a speed of 60 kmph and its length is 110 metres. Calculate the time by which it will pass a man running opposite with speed of 6 kmph
A.2 second
B.4 second
C.6 second
D.8 second
Answer: C.6 second
Explanation: Explanation:
From the given question,
we will first calculate the speed of train relative to man,
=> ( 60 + 6 ) = 66 km/hr ( we added 6 because man is running opposite )
Convert it in metre/second
=66Ã—5/18
=55/3m/sec
Time it will take to pass man
=110Ã—3/55
=6 seconds
ANSWER IS C
Question: A driver covers a certain distance by car driving at 50 km/hr and returns back to the starting point riding on a scooter at 10 km/hr. What was the average speed for the whole journey?
A.12.5 km/h
B.14.8 km/h
C.16.7 km/h
D.17.5 km/h
Answer: C.16.7 km/h
Explanation: time 1 = d / 50
time 2 = d / 10
total time = d/50 + d/10 = 3d/25
average speed = total distance / total time = 2d / (3d/25) = 16.7 km/h
The answer is C.
Question: When 20 is subtracted from a number, it reduces to seven-twelve of the number. What is the sum of the digit of the number
A.40
B.44
C.46
D.48
Answer: D.48
Explanation: Explanation:
Let the number be x. Then,
x - 20 = 7x/12 => x - 7x/12 = 20
5x/12 = 20 => x = 48
Answer: Option D
Question: A student earned a grade of 80% on a math test that had 20 problems. How many problems on this test did the student answer correctly? (round to the nearest whole number)
A.36 problems
B.53 problems
C.27 problems
D.16 problems
Answer: D.16 problems
Explanation: Multiply the opposites:
80/100=x/20
80 x 20 = 1600
Divide by the remaining number:
16/1600
*100
16 problems
correct answer D
Question: A train 500 meters long is running with a speed of 44 kmph. The time taken by it to cross a tunnel 230 meters long is?
A.287 sec
B.288 sec
C.48 sec
D.61 sec
Answer: D.61 sec
Explanation: D = 500 + 230 = 730
S = 44 * 5/18 = 12 mps
T = 730/12 = 61 sec
Answer: D
Question: A man rides at the rate of 50km/hr. But stops 20minutes to change horses at the end of every 25th kilometer. How long will he take to go a distance of 100 kilometers?
A.3hr
B.6hr 30min
C.8hr 10min
D.7hr 20min
Answer: A.3hr
Explanation: speed of man = 50km/hr
number of rests = (100/25)-1 = 3
time taken for the man = (100/50)+3*(20/60) = 3 hr
Answer is A
Question: Consider there is an elevator and you are at the upside and coming down using elevator. You walk 20 steps and then you stop, then you reach to the ground in 10 minutes. If you walk 10 steps and then stop, then you reach to the ground in 20 minutes. What is the speed of the elevator and How many steps are there??
A.1 step/min
B.2 step/min
C.3 step/min
D.4 step/min
Answer: A.1 step/min
Explanation: Let e be the speed of the elevator, n be the no. of steps
n = 20 + 10*e = 10+20*e
e=1
n=30
No. of steps : 30
Speed : 1 step/min
ANSWER:A
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 44, the dividend is:
A.5330
B.5336
C.4884
D.5345
Answer: C.4884
Explanation: Divisor = (5 * 44) = 220
= 10 * Quotient = Divisor
=> Quotient = 220/10 = 22
Dividend = (Divisor * Quotient) + Remainder
Dividend = (220 * 22) + 42 = 4884.
C
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 42 minutes. The waste pipe can empty the full cistern in?
A.8 min
B.7 min
C.5 min
D.9 min
Answer: B.7 min
Explanation: 1/10 + 1/15 - 1/x
= 1/42
x = 7
Answer: B
Question: The radius of the wheel of a bus is 175 cms and the speed of the bus is 66 km/h, then the r.p.m. (revolutions per minutes)of the wheel is
A.100
B.250
C.300
D.330
Answer: A.100
Explanation: Radius of the wheel of bus = 175 cm. Then,
circumference of wheel = 2Ï€r = 350Ï€ = 1100 cm
Distance covered by bus in 1 minute
= 66â„60 Ã— 1000 Ã— 100 cms
Distance covered by one revolution of wheel
= circumference of wheel
= 1100 cm
âˆ´ Revolutions per minute = 6600000/60Ã—1100 = 100
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.2327
C.2997
D.2662
Answer: A.7500
Explanation: 35%-----------L
65%-----------W
------------------
30%----------2250
100%---------? => 7500
Answer: A
Question: 12 men take 18 days to complete a job whereas 12 women in 18 days can complete 3⁄4 of the same job. How many days will 10 men and 8 women together take to complete the same job?
A.6
B.13 1⁄2
C.12
D.Data inadequate
Answer: B.13 1⁄2
Explanation: 12 M × 18 = 12 W × 18 × 4⁄3
\ w = 3/4 M
10M + 8W = 10M + 8 × 3⁄4M = 16 M
\16 men can complete the same work
in 12×18/16=27/2=13 1/2days
Answer B
Question: What is the square root of 121?
A.11
B.12
C.16
D.18
Answer: A.11
Explanation: 11X11 = 121
ANSWER A
Question: A bag of P peanuts can be divided into 9 smaller bags with 6 peanuts left over. Another bag of m peanuts can be divided into 12 smaller bags with 4 peanuts left over. Which of the following is the remainder when Pm is divided by 18?
A.6
B.4
C.2
D.8
Answer: A.6
Explanation: P = 9x + 6
m = 12y + 4
Pm = (9x + 6)*(12y + 4) = 108xy + 36x + 72y + 24
Remainder of nm/18 = (108xy + 36x + 72y + 24)/18
Observe that the first three terms are a multiple of 18
24 when divided by 18 leaves remainder 6
Hence mn/18 will leave remainder 6
A
Question: 1 boy forgot the last digit of a 7 digit telephone no. If he randomly dial thefinal 3 digits after correctly dialing the 1st four, then what is the chance of dialing the correct no.?
A.2/989
B.3/456
C.1/1000
D.1/2314
Answer: C.1/1000
Explanation: it is given that last 3 digits are randomly dialed
Then, each of the digit can be selected out of 10 digits in 10 ways. Hence, required probability
= 1/(10)3 = 1/1000
C
Question: A cube with its sides numbered 1 through 6 is rolled twice, first landing on a and then landing on b. If any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6, what is the probability R that a + b is prime?
A. 0
B. 1/12
C. 5/12
D. 7/18
Answer: C. 5/12
Explanation: Total # of outcomes is 6*6=36;
Favorable outcomes:
a-b --> prime
1-1 --> 2;
1-2 --> 3;
2-1 --> 3;
1-4 --> 5;
4-1 --> 5;
2-3 --> 5;
3-2 --> 5;
1-6 --> 7;
6-1 --> 7;
2-5 --> 7;
5-2 --> 7;
3-4 --> 7;
4-3 --> 7;
6-5 --> 11;
5-6 --> 11.
Total of 15 favorable outcomes
R=15/36.
Answer: C.
Question: A popular website requires users to create a password consisting of digits only. If no digit may be repeated and each password must be at least 9 digits long, how many passwords are possible?
A.9! + 10!
B.2 x 10!
C.9! x 10!
D.19!
Answer: B.2 x 10!
Explanation: If we choose the 10 different digits then they can be arranged (permutations) in 10! ways.
But the question asks at least 9 digits. So we have the possibility of choosing only 9 digits for the password ( but digit shouldn't repeat), so we can have a total of 10 different combinations and each combination can be arranged in 9! ways.
Therefore
10 x 9! + 10!
= 10! + 10!
= 2 x 10!
Therefore B
Question: Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance travelled by them if the slower car takes 1 hour more than the faster car.
A.980 km
B.860 km
C.960 km
D.460 km
Answer: B.860 km
Explanation: B
60(x + 1) = 64x
X = 15
60 * 16 = 960 km
Question: Sonika deposited Rs.14500 which amounted to Rs.12200 after 3 years at simple interest. Had the interest been 3% more. She would get how much?
A.13505
B.12004
C.15003
D.14500
Answer: A.13505
Explanation: (14500*3*3)/100 = 1305
12200
--------
13505
Answer: A
Question: A train 310 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
A.40 sec
B.50 sec
C.44 sec
D.36 sec
Answer: D.36 sec
Explanation: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 310 + 140 = 450 m
Required time = 450 * 2/25 = 36 sec
Answer:D
Question: An arithmetic Sequence is a number sequence which has a constant difference between terms. Considering this definition which of the following is an arithmetic sequence?
I. e^2, f^2, g^2, h^2, i^2
II. e-6, f-3, g-5, h-3, i-3
III. 2e, 2f, 2g, 2h,2i
A.II and III
B.III only
C.I and III
D.I and II
Answer: B.III only
Explanation: lets look at the three choices...
I. e^2, f^2, g^2, h^2, i^2
since the difference is not constant, it is not an arithmetic sequence...
II. e-6, f-3, g-5, h-3, i-3
since the difference is not constant, it is not an arithmetic sequence
III. 2e, 2f, 2g, 2h,2i
since the difference is constant it is an arithmetic sequence...
The answer B)
Question: A person borrows Rs. 4000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 p.a for 2 years. Find his gain in the transaction per year.
A.100 rs
B.80 rs
C.160 rs
D.180 rs
Answer: B.80 rs
Explanation: Gain in 2 years =
[(4000*6*2)/100]-[(4000*4*2)/100]
480-320=160
Gain in 1 year =(160/2)=80 rs
ANSWER:B
Question: A rectangular garden has a fence along three sides and a wall along the fourth side. The fenced side opposite the wall is twice the length of each of the other two fenced sides. If the area of the rectangular garden is 1800 square feet, what is the total length of the fence, in feet?
A.60
B.100
C.120
D.200
Answer: D.200
Explanation: two sides EACH = x the third = 2x and the wall length is thus 2x too
x*2x = 2x^2 = 1800 ie x^2 = 900 ie x = 30
L = 60 W= 30
TOTAL LENGHT OF FENCE = 2*30+60 = 120
MY ANSWER IS C
Question: Find the average of first 40 natural numbers?
A.20.5
B.22
C.30.5
D.35
Answer: A.20.5
Explanation: Sum of first 100 natural numbers = 40*41/2 = 820Required average = 820/40 = 20.5Answer is A
Question: Each of the 38 members in a high school class is required to sign up for a minimum of one and a maximum of three academic clubs. The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 12 students sign up for the poetry club, 20 students for the history club, and 19 students for the writing club. If 3 students sign up for exactly two clubs, how many students sign up for all three clubs?
A.2
B.3
C.4
D.5
Answer: D.5
Explanation: The total number in the three clubs is 12+20+19=51.
All 38 students signed up for at least one club.
3 of those students signed up for exactly one more club.
51 - 41 = 10 so 5 students must have signed up for exactly three clubs.
The answer is D.
Question: A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is?
A.31
B.42
C.50
D.22
Answer: A.31
Explanation: LCM = 30 => 30 + 1 = 31
ANSWER A
Question: If k^2 is divisible by 240 what is the least possible value of integer K?
A.60
B.30
C.12
D.90
Answer: A.60
Explanation: 240 can be written as (2^4)*3*5.
For k^2 to be divisible by 240 it should contain at least 2^4 and 3 and 5 in its factors. We can leave out option C because 12 doesnt have 5 as one of its factor. Now if we check for option B, 30 can be written as 2*3*5, hence 30^ 2 will have 2 as the maximum power of 2, so we can leave out this option too.
Option C is the right answer if we follow the same method as we followed for other two previous options.
60 = (2^2)*3*5; 60^2 = (2^4)*(3^2)*(5^2). So it shows that 60^2 is divisible by 240 and hence the answer.
Answer : A
Question: If the cost price is 99% of selling price then what is the profit percentage.
A.1
B.1.11
C.1.01
D.1.1
Answer: C.1.01
Explanation: selling price=Rs100 : then cost price=Rs 99:profit =Rs 1.
Profit={(1/99)*100}%=1.01%
Answer is C.
Question: What is the sum of two consecutive even numbers, the difference of whose squares is 84?
A.42
B.44
C.48
D.56
Answer: A.42
Explanation: Sol.
Let the numbers be x and x + 2.
then, (x + 2)² - x² = 84 ⇔ 4x + 4 = 84 ⇔ 4x = 80 ⇔ x=20.
∴ Required sum = x + (x + 2) = 2x + 2 = 42.
Answer A
Question: The set S has 36 different subsets each of which contains exactly two elements. How many subsets of S could contain exactly seven elements each?
A.81
B.63
C.54
D.36
Answer: D.36
Explanation: nC2 = 36
=> n*(n-1)/2 = 36 by middle term factor and n cannot be negative
=> n = 9
nC7 = 9C7 = 9!/7!*(9-7)!= 9*8*7!/7!*2 =36
So, Answer is D.
Question: The average of the marks of 12 students in a class is 36. If the marks of each student are doubled, find the new average?
A.72
B.88
C.15
D.10
Answer: A.72
Explanation: Sum of the marks for the 12 students = 12 * 36 = 432. The marks of each student are doubled, the sum also will be doubled.
The new sum = 432 * 2 = 864. So, the new average = 864/12 = 72.
Answer: A
Question: Car A runs at the speed of 65km/hr & reaches its destination in 8hr. Car B runs at the speed of 70 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B?
A.11 : 5
B.11 : 8
C.13 : 7
D.15 : 7
Answer: C.13 : 7
Explanation: Sol. Distance travelled by Car A = 65 × 8 = 520 km
Distance travelled by Car B = 70 × 4 = 280 km
Ratio = 520/280 = 13 : 7
C
Question: If the price of an article went up by 40%, then by what percent should it be brought down to bring it back to its original price?
A.2/3%
B.28.57%
C.2/1%
D.1/3%
Answer: B.28.57%
Explanation: Let the price of the article be Rs. 100.
40% of 100 = 40.
New price = 100 + 40 = Rs. 140
Required percentage = (140 - 100)/140 * 100
= 40/140 * 100= 28.57%.
Answer:B
Question: If n is the product of the integers from 1 to 13, inclusive, how many different prime factors greater than 1 does n have?
A.Four
B.Five
C.Six
D.Seven
Answer: C.Six
Explanation: n = 1*2*3*4*5*6*7*8*9*10*11*12*13
The prime factors of n are 2, 3, 5, 7, 11, and 13.
There are 6 prime factors.
The answer is C.
Question: If m=9^(x−1), then in terms of m, 3^(4x−1) must be which of the following?
A.m/3
B.9m
C.27m^2
D.m^2/3
Answer: C.27m^2
Explanation: m = 9 ^ (X-1)
m = 3 ^ (2x-2)
m^2 = 3 ^ (4x-4)
27m^2 = 3 ^ (4x-1)
Answer C
Question: The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?
A.4
B.7
C.5
D.9
Answer: C.5
Explanation: A + B + C = 48
B + C + D = 45
A + D = 13
A – D = 3
A + D = 13
2D = 10
D = 5
Answer:C
Question: On a certain date, Pat invested $7,000 at x percent annual interest, compounded annually. If the total value of the investment plus interest at the end of 10 years will be $28,000, in how many years total will the total value of the investment plus interest increase to $56,000?
A.15
B.16
C.18
D.20
Answer: A.15
Explanation: 28,000 = 7,000(1 + x)^10
4 = (1+x)^10 = 2^2
(1+x)^10 = ((1+x)^5)^2 = 2^2
Therefore, (1+x)^5 = 2
56,000 = 7,000(1 + x)^n
(1+x)^n = 8
(1+x)^n = 2^3
(1+x)^n = ((1+x)^5)^3 = (1+x)^15
Therefore, n = 15.
The answer is A.
Question: On a Saturday night, each of the rooms at a certain motel was rented for either $40 or $60. If 10 of the rooms that were rented for $60 had instead been rented for $40, then the total rent the motel charged for that night would have been reduced by 50 percent. What was the total rent the motel actually charged for that night ?
A. $400
B. $800
C. $1,000
D. $1,600
Answer: A. $400
Explanation: Let total rent the motel charge for all rooms =x
If 10 rooms that were rented for 60 $ had instead been rented for 40 $,
then total difference in prices = 20 $ * 10 = 200 $
Total rent the motel charged would have been reduced by 50 %
.5x = 200
=> x= 400
Answer A
Question: It takes John 25 minutes to walk to the car park and 45 to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.?
A.6:50 a.m
B.5:50 a.m
C.4:50 a.m
D.7:50 a.m
Answer: D.7:50 a.m
Explanation: The time it takes John to get to work: time to walk to car park + time to drive
25 + 45 = 70 minutes = 1 hour and 10 minutes
John needs to get out of the house 1 hour and 10 minutes before 9:00 am at
9:00 - 1:10 = 7:50 a.m
correct answer D
Question: A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.320. How much does C have?
A.50
B.78
C.267
D.20
Answer: D.20
Explanation: A+B+C = 500
A+C = 200
B+C = 320
--------------
A+B+2C = 520
A+B+C = 500
----------------
C = 20
Answer: D
Question: 5n + 2 > 12 and 7n - 5 < 30; n must be between which numbers?
A.1 and 8
B.2 and 6
C.0 and 9
D.2 and 5
Answer: D.2 and 5
Explanation: 5n > 10 --> n > 2
7n < 35 --> n < 5
2 < n < 5
Answer: D
Question: If -1 < x < 0, which of the following must be true?
I. x^5 < x^2
II. x^6 < 1 – x
III. x^7 < x^3
A.I,II,III only
B.I,II only
C.I,III only
D.II only
Answer: A.I,II,III only
Explanation: Answer : A
Question: An automobile manufacturer offers a station wagon with either a 12-cylinder engine or a 10-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 12-cylinder engine. How many combinations of the five options listed does the manufacturer offer for its station wagon?
A. 44
B. 47
C. 48
D. 50
Answer: C. 48
Explanation: 12-cylinder engine wagons = 2*2*2*2*2 = 32 (manual or automatic, with or without trailer);
10-cylinder engine wagons = 2*2*2*2 = 16 (manual or automatic).
Total = 32 + 16 = 48.
Answer:C.
Question: Express a speed of 60 kmph in meters per second?
A.10 mps
B.16.67 mps
C.97.67 mps
D.17.67 mps
Answer: B.16.67 mps
Explanation: 60 * 5/18
= 16.67 mps
Answer: B
Question: All of the stocks on the over-the-counter market are designated by either a 7-letter or a 7-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
A.2(26^5)
B.26(26^4)
C.27(26^4)
D.2(26^7)
Answer: D.2(26^7)
Explanation: Number of 4-letter codes: 26 * 26 * 26 * 26 * 26 * 26 * 26 = 26^7
Number of 5-letter codes: 26 * 26 * 26 * 26 * 26 * 26 * 26 = 26^7
Total Number of codes: 26^7 + 26^7 = 2*(26^7)
Therefore, the answer isD: 2*(26^7).
Question: If t = 20! + 17, then t is divisible by which of the following?
I. 15
II. 17
III. 19
A. None
B. I only
C. II only
D. I and II
Answer: C. II only
Explanation: Another crude way to answer this, if you did not know the properties above would be to consider that that 20! will have the number ending in 00 due to 10 and 20 being included.
So t!+17 = xxxx00 +17 = xxxx17 which is only possibly divisible by 17. Hence Option C is the answer.
Question: What will come in place of the x in the following Number series? 6, 12, 21, x , 48
A.33
B.37
C.39
D.41
Answer: A.33
Explanation: (A)
The pattern is + 6, + 9, + 12, +15 ………..
So the missing term is = 21 + 12 = 33
Question: A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
A.2 sec
B.1 sec
C.6 sec
D.8 sec
Answer: C.6 sec
Explanation: Explanation:
Speed of train relative to man = 60 + 6 = 66 km/hr.
= 66 * 5/18 = 55/3 m/sec.
Time taken to pass the men = 110 * 3/55 = 6 sec.
Answer: C
Question: If A lends Rs.25000 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
A.1125
B.1225
C.1325
D.1145
Answer: A.1125
Explanation: (25000*1.5*3)/100 => 1125
ANSWER:A
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
A.140 sq.units
B.176 sq.units
C.675 sq.units
D.169 sq.units
Answer: A.140 sq.units
Explanation: Given that the area of the square = 1225 sq.units
=> Side of square = √1225 = 35 units
The radius of the circle = side of the square = 35 units Length of the rectangle = 2/5 * 35 = 14 units
Given that breadth = 10 units
Area of the rectangle = lb = 14 * 10
= 140 sq.units
Answer:A
Question: Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet?
A.10 am
B.12 am
C.10.30 am
D.12.30 am
Answer: A.10 am
Explanation: Assume both trains meet after x hours after 7 am
Distance covered by train starting from P in x hours = 20x km
Distance covered by train starting from Q in (x-1) hours = 25(x-1)
Total distance = 110
=> 20x + 25(x-1) = 110
=> 45x = 135
=> x= 3
Means, they meet after 3 hours after 7 am, ie, they meet at 10 am
Answer is A.
Question: n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4 ?
A.2
B.5
C.6
D.1
Answer: A.2
Explanation: Let n = 4q + 3. Then 2n = 8q + 6 = 4(2q + 1 ) + 2.
Thus, when 2n is divided by 4, the remainder is 2.
ANSWER A
Question: If P represents the product of the first 13 positive integers, which of the following must be true?
I. P is an odd number
II. P is a multiple of 24
III. P is a multiple of 23
A.I only
B.II only
C.III only
D.None of the above
Answer: B.II only
Explanation: The correct answer is B.
Question: In one alloy there is 12% chromium while in another alloy it is 8%. 15 kg of the first alloy was melted together with 30 kg of the second one to form a third alloy. Find the percentage of chromium in the new alloy.
A.9.4%
B.9.33%
C.9.6%
D.9.8%
Answer: B.9.33%
Explanation: The amount of chromium in the new 15+30=45 kg alloy is 0.12*15+0.08*30=4.2 kg, so the percentage is 4.2/45*100=
9.33%.
Answer: B.
Question: What is the largest number that will divide 90207, 232585 and 127986 without leaving a
remainder?
A.257
B.905
C.351
D.498
Answer: A.257
Explanation: HCF is the best solution. bit its time taking.
see the numbers 90207 , 232585 , 127986.
choose 905. but its not possible because last digit must be 0 or 5.
choose 498. it is also not possible because last dight must be an even number.
only 2 left now.
its easy now to get the answer by division method
ans is 257.
ANSWER:A
Question: A single letter is selected at random from the word 'SIMS'. The probability that it is a vowel is..??
A.1/4
B.3/11
C.4/11
D.3/7
Answer: A.1/4
Explanation: total vowels = 1, total number of letters = 4
so probability = 1/4
ANSWER:A
Question: If 2x + 3y = 59; 2y + z = 19 and x + 2z = 29, what is the value of x + y + z ?
A.18
B.31
C.26
D.22
Answer: B.31
Explanation: On solving equation we get
x = 19, y = 7, z = 5
Answer B
Question: If Sharon's weekly salary increased by 16 percent, she would earn $348 per week. If instead, her weekly salary were to increase by 10 percent, how much would she earn per week?
A. $374
B. $330
C. $385
D. $392
Answer: B. $330
Explanation: (348/116)110 =330
In this case long division does not take much time.
(348/116)=3
3*110=330(300+30)
Answer B
Question: The HCF and LCM of two numbers m and n are respectively 8 and 200. If m + n = 84, then 1/m + 1/n is equal to
A.1/35
B.3/50
C.5/37
D.2/35
Answer: B.3/50
Explanation: Answer
We have, m x n = 8 x 200 = 1600
âˆ´ 1/m + 1/n = (m + n)/mn = 84/1600 = 3/50
Correct Option: B
Question: 20 women can do a work in 9 days. After they have worked for 6 days. 6 more men join them. How many days will they take to complete the remaining work?
A.4:87
B.4:3
C.4:2
D.4:7
Answer: B.4:3
Explanation: (20 * 16) women can complete the work in 1 day.
1 woman's 1 day work = 1/320
(16 * 15) men can complete the work in 1 day
1 man's 1 day work = 1/240
So, required ratio = 1/240 : 1/320 = 4:3.
Answer:B