RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is -.
A.1/3
B.1/2
C.7/8
D.3/4
Answer: B.1/2
Explanation: Answer: Option B
The number of exhaustive outcomes is 36.
Let e be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2
P(e) = 1 - 1/2 = 1/2.
Question: Sari and Ken climb up a mountain. At night, they camp together. On the day they are supposed to reach the summit, Sari wakes up at 08:00 and starts climbing at a constant pace. Ken starts climbing only at 10:00, when Sari is already 700 meters ahead of him. Nevertheless, Ken climbs at a constant pace of 500 meters per hour, and reaches the summit before Sari. If Sari is 50 meters behind Ken when he reaches the summit, at what time did Ken reach the summit?
A.13:00
B.13:30
C.14:00
D.15:00
Answer: D.15:00
Explanation: Both Sari and Ken climb in the same direction.
Speed of Sari = 700/2 = 350 meters/hr (since she covers 700 meters in 2 hrs)
Speed of Ken = 500 meters/hr
At 8:00, distance between Ken and Sari is 700 meters. Ken needs to cover this and another 50 meters.
Time he will take = Total distance to be covered/Relative Speed = (700 + 50)/(500 - 350) = 5 hrs
Starting from 10:00, in 5 hrs, the time will be 15:00
Answer (D)
Question: A five digit number divisible by 7 becomes divisible by 3 when 13 is added to it. The largest such number is :
A.54375
B.54354
C.54336
D.54341
Answer: D.54341
Explanation: Out of all the 5 options, only 54341 is NOT divisible by 3. All others are divisible
So Answer = D (No further calculation required)
Addition of any two non-divisible numbers by 3 gives the resultant divisible by 3
13 is non-divisible by 3; we are adding a number to that so that the resultant becomes divisible by 3
Applying the above rule,It means that the number which we are going to add should be non-divisible by 3
So comes the answer = 54341
Answer : D
Question: 34.98 + 240.016 + 23.98 = ?
A.298.976
B.298.694
C.289.496
D.289.469
Answer: A.298.976
Explanation: 34.98
240.016
+ 23.98
--------
298.976
Answer is A.
Question: A batsman in his 17th innings makes a score of 80, and thereby increases his average by 2. What is his average after the 17th innings? He had never been ’not out’.
A.48
B.37
C.39
D.43
Answer: A.48
Explanation: Average score before 17th innings
= 80 - 2 × 17= 46
Average score after 17th innings
=> 46 + 2 = 48
ANSWER:A
Question: The average monthly salary of 8 workers and one supervisor in a factory was $$430. When the supervisor, whose salary was $$870 per month, retired, a new person was appointed and then the average salary of 9 people was $$400 per month. The salary of the new supervisor is:
A.233
B.600
C.287
D.771
Answer: B.600
Explanation: Explanation:
Total salary of 8 workers and supervisor together = 9 × 430 = 3870
Now total salary of 8 workers = 3870 − 870 = 3000
Total salary of 9 workers including the new supervisor = 9 × 400 = 3600
Salary of the new supervisor = 3600 − 3000 = 600
Answer: B
Question: Pipes A, B and C can fill a tank in 30, 60 and 120 minutes respectively. Pipes B and C are kept open for 10 minutes, and then Pipe B is shut while Pipe A is opened. Pipe C is closed 10 minutes before the tank overflows. How long does it take to fill the tank?
A.40 minutes
B.28 minutes
C.30 minutes
D.36 minutes
Answer: C.30 minutes
Explanation: DETAILED SOLUTION
Let us assume that the tank has a capacity of 120 litres. So, the pipes discharge the following amounts of water:
(A) 4 litres per minute
(B) 2 litres per minute
(C) 1 litre per minute.
Part 1: B and C (3 litres/min) are kept open for 10 minutes, filling 3 × 10 = 30 litres. 90 litres remain to be filled in the tank.
Part 2: Now, B is shut and A is opened. Effectively, this means that A and C are filling the tank together (5 litres / minute). We don’t yet know how long A and C are open together.
Part 3: C is closed 10 minutes before the tank overflows. This means that only A works for the last 10 minutes, filling 40 litres (working@4 litres/min)
Since 30 litres are filled in Part 1 and 40 litres in Part 3, the balance (50 litres) should have been filled in Part 2.
Working together, A and C fill 5 litres per minute in Part 2. This means that they would have taken 10 minutes to fill 50 litres.
So, the entire time it took to fill the tank is:
10 + 10 + 10 = 30 mins.
Answer choice (c)
Alternate Solution
In one minute, A fills (1/30)th of the tank, B fills (1/60)th of the tank, and C fills (1/120)th of the tank.
(B + C) work for 10 minutes, followed by (A + C), which works for “t” minutes, followed by A, which work for 10 minutes. This ensures that the tank gets filled. This can be written in an equation form:
10 x (1/60 + 1/120) + t x (1/30 + 1/120) + 10 x (1/30) = 1
10 x (1/40) + t x (1/24) + 10 x (1/30) = 1.
Or, 1/4 + t/24 + 1/3 = 1. Or t = 10.
So, the entire tank was filled in 30 mins.
Answer choice (C).
Question: Ram 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.11 1/6%
B.11 7/9%
C.11 1/9%
D.11 1/8%
Answer: C.11 1/9%
Explanation: 900 --- 100
100 --- ? => 11 1/9%
Answer:C
Question: The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?
A.1/56
B.1/42
C.1/40
D.1/41
Answer: B.1/42
Explanation: 2/3 * 6/7 * 1/3 * 1/8 = 1/42
Answer:B
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 8 sec. What is the length of the fast train?
A.27 7/6
B.277/5
C.27 7/2
D.400/9
Answer: D.400/9
Explanation: Relative speed = (40 - 20) = 20 km/hr.
= 20 * 5/ 18 = 50/9 m/sec.
Length of faster train = 50/9 * 8 = 400/9
= 27 7/9 m.
Answer:D
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in?
A.187 min
B.289 min
C.144 min
D.278 min
Answer: C.144 min
Explanation: Let the slower pipe alone fill the tank in x min.
Then, faster pipe will fill it in x/3 min.
1/x + 3/x = 1/36
4/x = 1/36 => x = 144 min.
Answer:C
Question: A wheel that has 6 cogs is meshed with a larger wheel of 18 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
A.49
B.4
C.12
D.7
Answer: D.7
Explanation: Let the required number of revolutions made by larger wheel be x.
Then, More cogs, Less revolutions (Indirect Proportion)
18 : 6 :: 21 : x 18 * x = 6 x 21
x =	(6 x 21)/18
x = 7.
Answer is D.
Question: A car driver travels from the plains to the hill station, which are 200 km apart at an average speed of 40km/hr. in return trip, he covers the same distance at an average speed of 20km/hr. the average speed of the car over the entire distance of 400 km is
A.8.95km/hr
B.26.7km/hr
C.27.8km/hr
D.37.9km/hr
Answer: B.26.7km/hr
Explanation: average speed = (2*40*20)/40+20 km/hr
=(1600/60)km/hr =26.7 km/hr
Answer (B)
Question: The ratio of the volumes of two cubes is 1331 : 2197. What is the ratio of their total surface areas?
A.121 : 169
B.169 : 122
C.81 : 124
D.81 : 126
Answer: A.121 : 169
Explanation: Ratio of the sides = 3√1331 : 3√2197 = 11 : 13
Ratio of surface areas = 11^2 : 13^2 = 121 : 169
Answer: Option A
Question: A circular garden is surrounded by a fence of negligible width along the boundary. If the length of the fence is 1/5 of th area of the garden. What is the radius of the circular garden?
A.1
B.2
C.10
D.8
Answer: C.10
Explanation: as per the question-- width is negligible
now,
let L be the length of the fence =2pir
L=1/5(pir^2)
pir^2=10pir
r=10
Answer : C
Question: Of the 3,600 employees of Company X, 3/4 are clerical. If the clerical staff were to be reduced by 4/5, what percent of the total number of the remaining employees would then be clerical?
A.37%
B.22.2%
C.20%
D.12.5%
Answer: A.37%
Explanation: Let's see, the way I did it was
3/4 are clerical out of 3600 so 2700 are clerical
2700 reduced by 4/5 is 2700*4/5
so it reduced 2160 people , so there is 540 clerical people left
but since 2160 people left, it also reduced from the total of 3600 so there are 1440 people total
since 540 clerical left / 1440 people total
you get (A) 37%
Question: A die is thrown three times. Events X and Y are defined as below:
X : 4 on the third throw
Y : 6 on the first and 5 on the second throw
What is the probability of X given that Y has already occurred.
A.1/5
B.1/6
C.2/7
D.3/7
Answer: B.1/6
Explanation: The sample space has 216 outcomes.
Now X =
(1,1,4) (1,2,4) ... (1,6,4) (2,1,4) (2,2,4) ... (2,6,4)
(3,1,4) (3,2,4) ... (3,6,4) (4,1,4) (4,2,4) ...(4,6,4)
(5,1,4) (5,2,4) ... (5,6,4) (6,1,4) (6,2,4) ...(6,5,4) (6,6,4)
Y = {(6,5,1), (6,5,2), (6,5,3), (6,5,4), (6,5,5), (6,5,6)}
and X n Y = {(6,5,4)}.
Now P(Y) = 6/216
and P (X n Y) = 1/216
Then P(X|Y) = (1/216)/(6/216) = 1/6.
B)
Question: There have 12 basket,7 red balls and 5 white balls,find the probability of getting at least 1 red ball and 1 blue ball, if 8 balls are to be drawn ?
A.505
B.495
C.425
D.548
Answer: B.495
Explanation: (7c3*5c5)+(7c4*5c4)+(7c5*5c3)+(7c6)5c2)+(7c1*5c1)=495
ANSWER:B
Question: The sum of two numbers is 40 and their product is 375. What will be the sum of their reciprocals?
A.1/40
B.8/75
C.75/4
D.75/8
Answer: B.8/75
Explanation: (1/a)+(1/b)=(a+b)/ab=40/375=8/75
ANSWER:B
Question: According to a recent student poll, 3/4 out of 20 members of the finance club are interested in a career in investment banking. If two students are chosen at random, what is the probability that at least one of them is interested in investment banking?
A.1/14
B.4/49
C.18/19
D.45/49
Answer: C.18/19
Explanation: 15 students are interested, 5 are not interested
Prob = 1 - 5C2/20C2 = 1 - (5*4/(20*19))=1 - 1/19 = 18/19
Answer :C
Question: If the ratio of a to b is 4 to 3 and the ratio of b to c is 1 to 5, what is the ratio of a to c?
A.4/15
B.1/3
C.2/5
D.4/5
Answer: A.4/15
Explanation: a:b = 4:3 -- 1
b:c = 1:5
=>b:c = 3 :15 --2
From 1 and 2 , we get
a:c = 4:15
Answer A
Question: In a 100 member association consisting of men and women, exactly 20% of men and exactly 25 % women are homeowners. What is the least number of members who are homeowners?
A.21
B.47
C.45
D.43
Answer: A.21
Explanation: Solution simple
Out of 100 20% are male i.e 20 and 25% are female i.e 25 , so total homeowner is 45.
Now min number homeowner is 20 and max is 45 so question ask us to find least and 21 has least value among all option.
So ans is 21.
Answer : A
Question: A letter lock consists of three rings each marked with twelve different letters. The number of distinct unsuccessful attempts to open the lock is at the most?
A.1762
B.1783
C.1727
D.1728
Answer: C.1727
Explanation: Since each ring consists of twelve different letters, the total number of attempts possible with the three rings is
= 12 * 12 * 12= 1728. Of these attempts, one of them is a successful attempt.
Maximum number of unsuccessful attempts
= 1728 - 1 = 1727.
Answer: C
Question: The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:
A.3665
B.1015
C.2676
D.287
Answer: B.1015
Explanation: Required number = (L.C.M. of 12,16, 18, 21, 28) + 7 = 1008 + 7
= 1015
Answer: B
Question: Of the 200 students at University XYZ majoring in one or more of the engineering disciplines, 130 are majoring in electrical and 150 are majoring in mechanical. If at least 30 of the students are not majoring in either electrical or mechanical, then the number of students majoring in both electrical and mechanical could be any number from
A.30 to 70
B.70 to 100
C.110 to 130
D.130 to 150
Answer: C.110 to 130
Explanation: lower point = Sum in each - total possible = 150+130- (200-30) = 280-170 =110...
higher point = entire 130 majoring in electrical major in mechanical too , so = 130..
range = 110 to 130
ANSWER:C
Question: Certain loan amount was repaid in two annual installments of Rs.1331/- each. If the rate of interest be 10% per annum Compounded annually the sum borrowed was?
A.Rs.2310/-
B.Rs.2400/-
C.Rs.2420/-
D.Rs.2430/-
Answer: A.Rs.2310/-
Explanation: Principal = (P.W of Rs. 1331/- due 1 year hence) + (P.W of Rs. 1331/- due 2 years hence)
= [1331/(1 + 10/100) + 1331/(1 + 10/100)2]
= [1331/(110/100) + 1331/(110/100 × 110/100)]
= 13310/11 + 133100/121 = 1210 + 1100 = Rs.2310/-
A
Question: The ratio of the present age of two brothers is 1:2 and 5 years back, the ratio was 1:3. What will be the ratio of their ages after 5 years?
A.3:6
B.3:2
C.3:5
D.3:1
Answer: C.3:5
Explanation: Let the present ages of the two brothers be x and 2x years respectively.
Then, (x - 5)/(2x - 5) = 1/3
3(x - 5) = (2x - 5) => x = 10
Required ratio = (x + 5) : (2x + 5) = 15 : 25
= 3:5
Answer:C
Question: A bike covers a certain distance at the speed of 65km/h in 8 hrs. If the bike was to cover the same distance in approximately 6 hrs, at what approximate speed should the bike travel?
A.85 km/h
B.85.34 km/h
C.86.66 km/h
D.90.25 km/h
Answer: C.86.66 km/h
Explanation: Ans.(C)
Sol. Total distance = 65 × 8 = 520 km
Now speed = 520/6 = 86.66 km/h
Question: John Purchased 1325 large bottles at $1.89 per bottle and 750 small bottles at $1.38 per bottle. What was the approximate average price paid per bottle?
A.$1.63
B.$1.71
C.$1.68
D.$1.72
Answer: B.$1.71
Explanation: (1325*1.89+750*1.38)/(1325+750) =~1.71
Option (B)
Question: There were two candidates in an election. Winner candidate received 62% of votes and won the election by 348 votes. Find the number of votes casted to the winning candidate?
A.456
B.744
C.899
D.1200
Answer: C.899
Explanation: W = 62% L = 38%
62% - 38% = 24%
24% -------- 348
62% -------- ? => 899
ANSWER:C
Question: The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
A.16 2/6%
B.16 2/8%
C.16 2/3%
D.19 2/3%
Answer: C.16 2/3%
Explanation: 10 CP = 12 SP
12 --- 2 CP loss
100 --- ? => 16 2/3%
Answer: C
Question: A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%?
A.600
B.2277
C.297
D.972
Answer: A.600
Explanation: Cost price = Rs.500
profit = 20% of 500 = Rs.100
Selling price = Cost price + Profit
= 500 + 100 = 600
Answer: A
Question: Dimitri weighs 4x-3x pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of y pounds. Which of the following represents Allen’s weight?
A.y - x/2
B.2x - y/2
C.(y - x)/2
D.y - 2x
Answer: C.(y - x)/2
Explanation: These type of multi-variable story problems are usually perfect for TESTing VALUES.
Here, we're told that Dimitri weighs 4X-3X or X pounds more than Allen weighs and that they weight a combined TOTAL of Y pounds.
IF....
Dimitri = 30
Allen = 20
X = 10
Y = 50
We're asked for Allen's weight, so we're looking for an answer that equals 20 when X = 10 and Y = 50.
Answer A: 50 - (10/2) = 45 NOT a match
Answer B: 20 - (50/2) = -5 NOT a match
Answer C: (50-10)/2 = 20 This IS a match
Answer D: 50 - 20 = 30 NOT a match
Answer E: 20 - 50 = -30 NOT a match
Final Answer:
C
Question: The largest natural number which exactly divides the product of any four consecutive natural numbers is
A.6
B.12
C.24
D.120
Answer: C.24
Explanation: Solution
Required numbers	= 1×2×3×4
‹=›24.
Answer C
Question: Today Jim is twice as old as Fred, and Sam is 4 years younger than Fred. Four years ago Jim was 8 times as old as Sam. How old is Jim now?
A.8
B.12
C.16
D.20
Answer: D.20
Explanation: We're asked how old Jim is NOW. We're given three facts to work with:
1) Today, Jim is TWICE as old as Fred
2) Today, Sam is 4 years younger than Fred
3) Four years ago, Jim was 8 times as old as Sam.
let's TEST Answer D: 20
IF....Jim is currently 20 years old....
Fred is 10 years old
Sam is 6 years old
4 years ago, Jim was 16 and Sam was 2, so Jim WAS 8 times Sam's age. This is an exact MATCH for what we were told, so this MUST be the answer.
D
Question: A train traveling at 72 kmph crosses a platform in 32 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters?
A.280 meters
B.360 meters
C.420 meters
D.600 meters
Answer: A.280 meters
Explanation: Speed of train = 72 * (5/18) = 20 m/s
Lets consider the man as a stationery point on the platform.
Crossing the point gives us the length of the train.
Lt = 20 * 18 = 360 m.
Crossing the platform gives us the length of trainlength of platform.
L(t+p) = 20 * 32 = 640 m.
So, length of platform = 640 - 360 = 280 m
IMO, Answer
A
Question: If TIER is written as 7193 and BRAIN is written as 23415, how is RENT coded ?
A.3653
B.3657
C.2977
D.3957
Answer: D.3957
Explanation: Explanation:
Given :
Letter : T I E R B A N
Code : 7 1 9 3 2 4 5
Thus, the code for RENT is 3957.
ANSWER:D
Question: There is a baseball tournament that is single elimination meaning that after one loss the team is out. There are 40 teams in this tournament. How many games are played?
A.20
B.10
C.39
D.40
Answer: C.39
Explanation: C
The number of games always adds up to one less than the number of teams in a single elimination tournament. You may calculate it any way. Therefore, 39 games were played.
Question: In the recent, climate conference in New York, out of 500 men, 300 women, 500 children present inside the building premises, 10% of the men, 60% of the women and 70% of the children were Indians. Find the percentage of people who were not Indian?
A.59.54%
B.66.25%
C.55.39%
D.63.21%
Answer: C.55.39%
Explanation: Solution: Number of Indians men present there = 500*10/100 = 50
Indian women = 300*60/100 = 180
Indian children = 500*70/100 = 350.
Total member present in climate conference = 500+300+500 = 1300
Total Indian = 50+180+350 = 580
Hence, % of Indian present there = 580*100/1300 = 44.61%
% of people who were not Indian = 100-44.61 = 55.39%.
Answer C
Question: What will come in place of the x in the following Number series? 5,28,57,88
A.156
B.159
C.166
D.125
Answer: D.125
Explanation: 28=23+5
57=29+28
88=31+57
125=37+88
D
Question: If (5)(x^2) has four different prime factors, at most how many different prime factors does x have?
A.1
B.2
C.3
D.4
Answer: D.4
Explanation: x can have at most 4 prime factors, namely the prime factor 5 plus 3 others.
If x had more than this number of prime factors, then (5)(x^2) would have more than 4 prime factors.
The answer is D.
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
A.872 m
B.278 m
C.267 m
D.150 m
Answer: D.150 m
Explanation: Speed=(60 * 5/18) m/sec
= (50/3) m/sec Length of the train
= (Speed x Time) = (50/3 * 9) m
= 150 m.
Answer: D
Question: In the xy-plane the point (-2 -3) is the centre of a circle, the point (-2, 0) lies inside the circle and the point (2, -3) lies outside the circle. If the radius r of the circle r is an integer then r=
A.6
B.5
C.4
D.3
Answer: C.4
Explanation: Can be solved without much calculations.
You are given that (-2,-3) is the center of the circle. Point (2,-3) lies inside the circle ---> the radius is lesser than distance of (-2,-3) from (2,-3) ---> lesser than 5 units but the radius will also be greater than the distance of (-2,-3) from (-2,0) ----> greater than 3 units.
Thus the radius is >3 but <5and as it is an integer, the only possible value of radius = 4 units.
C is the correct answer.
Question: If 45% of z is 120% of y and y is 75% of x, what percent of x is z?
A.200
B.160
C.100
D.65
Answer: A.200
Explanation: (45/100)z = (120/100)y
and y = (75/100)x i.e. y = (3/4)x
i.e. (45/100)z = (120/100)*(3/4)x
i.e. z = (120*3)x/(45*4)
i.e. z = (2)x = (200/100)x
i.e. z is 200% of x
Answer: Option A
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age fourteen years back was?
A.5yr
B.15yr
C.20yr
D.25yr
Answer: A.5yr
Explanation: Let the son's present age be x years
Then, 38-x = x
x = 19
Son's age 14 years back = 19-14 = 5 years
Answer is A
Question: A bag contains 5 green balls and 8 white balls. If two balls are drawn simultaneously, what is the probability that both balls are the same colour?
A.3/7
B.6/11
C.12/21
D.19/39
Answer: D.19/39
Explanation: The total number of ways to draw two balls is 13C2 = 78
The number of ways to draw two green balls is 5C2 = 10
The number of ways to draw two white balls is 8C2 = 28
P(two balls of the same colour) = 38/78 = 19/39
The answer is D.
Question: If x, y, and z are positive integers such that x^2 - y^2 + z^2 = 36, which of the following could be the values of x, y, and z?
I)x=122,y=157,z=99
II)x=125,y=160,z=102
III)x=100,y=150,z=167
A.I only
B.II only
C.III only
D.I​ and II
Answer: A.I only
Explanation: 10 sec answer if you know how to find the units digit of a number
The number given is of the form of square, so calculate the units digit - Here your objective is to find the sum where last digit is 0
x = 122, so x^2 will have units digit 4
y = 157, so y^2 will have units digit 9
z = 99, so z^2 will have units digit 1
Calculate the units digit , the units digit will be 0
Test with options II and III, only option I will satisfy the condition , hence this will be our answer is option A.
Question: If u r genius solve it:-
40 * 14 = 11
30 * 13 = 12
20 * 12 = ?
A.2
B.4
C.6
D.8
Answer: C.6
Explanation: Logic :
40*14=560=5+6+0=11
30*13=390=3+9+0=12
So 20*12=240=2+4+0=6
Answer : C
Question: A customer asks the clerk for a paintbrush and a bucket of whitewash for a total price of B dollars. If the paintbrush costs 300 cents less than twice the price of a bucket of whitewash, what is the price of half a bucket of whitewash in dollars?
A.(B + 200)/2.
B.(B + 2)/6.
C.(2B + 200)/3.
D.(B + 2)/3.
Answer: D.(B + 2)/3.
Explanation: P = 2w - 200
thus total price in cents as given should be
2w-200 +w = 100B
3w - 200 = 100 B
3w = 100 B+200
3w =b+2 (in dollars)
w/2 = (b+2)/6
Ans:D
Question: A manufacturer sells a pair of plastics to a wholesale dealer at a profit of 18%. The wholesaler sells the same to retailer at a profit of 20%. The retailer in turn sells them to a customer for Rs. 30.09, there by earning a profit of 25%. The cost price for the manufacturer is:
A.23
B.16
C.17
D.45
Answer: C.17
Explanation: C
Let the cost price for the manufacturer be Rs. x. Then, 125% of 120% of 118% of x = 30.09.
125/100 * 120/100 * 118/100 * x = 3009/100
177/100 x = 3009/100 => x = 17
Question: In a certain sequence, the first term is 1, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence?
A.13/8
B.21/13
C.8/5
D.5/8
Answer: C.8/5
Explanation: let five terms in the sequence be a,b,c,d,e
a=1
b= 1+1/1=2/1
c=1+1/2= 3/2
d= 1+2/3 = 5/3
e= 1+3/5 = 8/5
hence answer should be C.
Question: What is difference between biggest and smallest fraction among 2/3, 3/4, 4/5 and 5/3
A.2/5
B.3/5
C.1/6
D.1
Answer: D.1
Explanation: Explanation:
2/3 = .66, 3/4 = .75, 4/5 = .8 and 5/3 = 1.66
So biggest is 5/3 and smallest is 2/3
Their difference is 5/3 - 2/3 = 3/3 = 1
Option D
Question: Find the 25% of Rs. 400.
A.s. 50
B.s. 70
C.s. 100
D.s. 80
Answer: C.s. 100
Explanation: Explanation :
25% of 400
=> 25/100 *400 = Rs. 100
Answer : C
Question: Which of the following numbers must be added to 5678 to give a remainder of 35 when divided by 460?
A.955
B.980
C.797
D.618
Answer: C.797
Explanation: (5678+x)=(460*y)+35
5678-35+x=460*y
5643+x=460*y
so in x last digit must be 7 so ans should be c
ANSWER:C
Question: The total surface area of a solid hemisphere of diameter 14 cm is
A.308 cm2
B.462 cm2
C.1232 cm2
D.1848 cm2
Answer: B.462 cm2
Explanation: Solution
Total surface area	= 3ΠR2
= (3 x 22/7 x 7 x 7)cm2
= 462 cm2.
Answer B
Question: When positive integer x is divided by 7, the quotient is y and the remainder is 3. When 2x is divided by 6, the quotient is 3y and the remainder is 2. What is the value of 11y – x?
A.4
B.3
C.2
D.1
Answer: D.1
Explanation: (1) x = 7y+3
(2) 2x = 18y+2
(2)-(1): x=11y-1
11y-x=1
The answer is D.