divelab/Sys2Bench huggingface dataset:
Question: Pipes A and B can fill a tank in 3 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in?
Options:
A)3 9/97 hrs
B)3 9/77 hrs
C)3 9/17 hrs
D)3 9/27 hrs
E)2 2/5 hrs
Rationale: Net part filled in 1 hour = 1/3 + 1/6 - 1/12
= 5/12
The tank will be full in 12/5 hrs, i.e., 2 2/5 hrs.
Answer:E
Answer: E
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1245, find the loss %?
Options:
A)17%
B)16%
C)19%
D)78%
E)28%
Rationale: 1500 ---- 255
100 ---- ? => 17%
Answer:A
Answer: A
Question: If the annual rate of simple interest increases from 10% to 12 1/2 %, a man's yearly income increases by Rs. 1250. His principal in Rs. is?
Options:
A)29879
B)50000
C)72900
D)27992
E)89282
Rationale: Let the sum be Rs. x. Then,
(x * 25/2 * 1/100) - (x * 10 * 1)/100 = 1250
25x - 20x = 250000
x = 50000
Answer: B
Answer: B
Question: Two pipes A and B can fill a cistern in 37 1/2minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if pipe B is turned off after
Options:
A)5 min
B)9 min
C)10 min
D)15 min
E)17 min
Rationale: Explanation:
Part filled by pipe A in 1 minute = 2 7/5
Part filled by pipe B in 1 minute =1 4/5
Suppose pipe B is closed after x minutes. Then,
2 7/5 × 30 +1 4/5 × x =1
4/5 +x/45 =1
x=9
Answer: Option B
Answer: B
Question: Joey throws a dice 3 times and decides to invite the same number of guests for his birthday party as the sum of the outcomes of the throws. What’s the probability that he invites 12 guests?
Options:
A)1/6
B)1/16
C)1/18
D)1/36
E)25/216
Rationale: Total outcomes:
6^3.
Favorable outcomes:
{6 - 5 - 1} - 6 cases ({6 - 5 - 1}, {6 - 1 - 5} , {5 - 6 - 1}, {5 - 1 - 6}, {1 - 6 - 5}, {1 - 5 - 6});
{6 - 4 - 2} - 6 cases;
{6 - 3 - 3} - 3 cases;
{5 - 5 - 2} - 3 cases;
{5 - 4 - 3} - 6 cases;
{4 - 4 - 4} - 1 case.
6 + 6 + 3 + 3 + 6 + 1 = 25.
P = (favorable)/(total) = 25/6^3.
Answer: E.
Answer: E
Question: Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?
Options:
A)3
B)5
C)7
D)8
E)9
Rationale: On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted
A
Answer: A
Question: The following sets each have a mean of 5 and the standard deviations are given in variable form.
Set I = {5, 5, 5, 5, 5, 5}, standard deviation = H
Set II = {1, 1, 1, 9, 9, 9}, standard deviation = J
Set III = {2, 3, 4, 6, 7, 8}, standard deviation = K
Rank these three standard deviations from least to greatest.
Options:
A)K, J, H
B)K, H, J
C)H, J, K
D)H, K, J
E)J, H, K
Rationale: The answer should be D as the mean is least deviated in Set I followed by Set III and then Set II.
Answer: D
Question: A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
Options:
A)6
B)5
C)4
D)7
E)8
Rationale: 7 * 8 : 9 * x = 8:9 => x= 7.Answer: D
Answer: D
Question: The sum of three consecutive odd natural numbers, each divisible by 3 is 90. What is the largest among them?
Options:
A)21
B)24
C)27
D)33
E)45
Rationale: Let the 3 consecutive odd numbers each divisible by 3 be X, X+3, X+6
Given, X + X+3 + X+6 = 90
3X = 81
X = 27
The numbers are 27, 30, 33
Therefore the largest number is 33
Answer D.
Answer: D
Question: A watch was sold at a loss of 16%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Options:
A)700
B)882
C)799
D)778
E)901
Rationale: 84%
104%
--------
20% ---- 140
100% ---- ? => Rs.700
Answer: A
Answer: A
Question: P and Q had the same number of candies. P gave Q 22 candies so that now Q has five times as many candies as P has. How many candies does Q have now?
Options:
A)35
B)40
C)45
D)50
E)55
Rationale: Let P and Q be the number of candies they had at the start.
P = Q
5(P-22) = Q+22
5(Q-22) = Q+22
4Q = 132
Q = 33
Now person Q has 33+22 candies which is 55 candies.
The answer is E.
Answer: E
Question: if below equation are true
24$6=64
35$5=87
63$7=99
by using same logic what is the value of the below question
88$8=?
Options:
A)1621
B)1711
C)1611
D)1511
E)1311
Rationale: Correct Answer : C
the number on the right side is formed as (sum of digits of the 1st number)
no1/ no2
ex:
35$5=87 (3+5=8)(35/5=7)
63$7=99 (6+3=9)(63/7=9)
Answer: C
Question: A, B and C can do a work in 18, 30 and 45 days respectively. If they work together, in how many days will they complete the work?
Options:
A)9
B)16
C)17
D)18
E)11
Rationale: One days's work of A, B and C = 1/18 + 1/30 + 1/45
= (5 + 3 + 2)/90 = 1/9
A, B and C together can do the work in 9 days.
Answer:A
Answer: A
Question: In a full deck of 52 cards, there are 13 spades. A game is played whereby a card from is chosen at random from the deck. If the card is a spade, a winner is declared. If the card is not a spade, it is returned to the deck, the deck is reshuffled and another card is drawn. This process is repeated until a spade is drawn. What is the probability that one will pick the first spade on the second draw or later?
Options:
A)1/8
B)1/4
C)1/2
D)3/4
E)7/8
Rationale: Favorable case = the spade is picked in the third draw or later
Unfavorable case = The spade is picked in either first draw or in second draw
Probability = Favorable outcomes / Total out comes
Also probability = 1-(Unfavorable outcomes / Total out comes)
Unfavorable case: probability of spade picked in first draw = 13/52 =1/4
i.e., Favorable Probability = 1 - (1/4) = 3/4
Answer Option: D
Answer: D
Question: In a game of billiards, A can give B 10 points in 50 and he can give C 30 points in 50. How many points can B give C in a game of 100?
Options:
A)65
B)60
C)70
D)50
E)75
Rationale: A scores 50 while B score 40 and C scores 20.
The number of points that C scores when B scores 100 = (100 * 20)/40 = 50.
In a game of 100 points, B gives (100 - 50) = 50 points to C
Answer:D
Answer: D
Question: A person got Rs.55 more when he invested a certain sum at compound interest instead of simple interest for two years at 9% p.a. Find the sum?
Options:
A)6790
B)6890
C)6700
D)2667
E)2671
Rationale: P = (d * 1002) / R2
=> (55 * 100 * 100) / 9 * 9 = Rs.6790
Answer:A
Answer: A
Question: Rs 70000 is divided into two parts One part is given to a person with 10% interest and another part is given to a person with 20 % interest. At the end of first year he gets profit 8000 Find money given by 10%?
Options:
A)30000
B)40000
C)50000
D)60000
E)70000
Rationale: let first parrt is x and second part is y then x+y=70000----------eq1
total profit=profit on x +profit on y
8000=(x*10*1)/100 + (y*20*1)/100
80000=x+2y-----------------------------------eq2
80000=70000+y
so y=10000 then x =70000-10000=60000
first part =60000
ANSWER:D
Answer: D
Question: Two carpenters, working in the same pace, can build 2 desks in two hours and a half. How many desks can 4 carpenters build in 1 hours?
Options:
A)1.6.
B)3.6.
C)4.2.
D)5.5.
E)6.4
Rationale: W = 2 desks
T = 2.5 hrs
Rate of 2 carpenters = 2×R
Rate = work done/ time
2xR = 2/2.5
R = 1/2.5 = 2/5 (this is the rate of each carpenter)
Work done by 4 carpenters in 1 hrs = 4 × rate of each carpenter x time = 4× 2/5 × 1 =1.6 desks
A is the correct answer.
Answer: A
Question: Ten years ago, the age of Anand was one-third the age of Bala at that time. The present age of Bala is 12 years more than the present age of Anand. Find the present age of Anand?
Options:
A)14
B)16
C)18
D)20
E)22
Rationale: Let the present ages of Anand and Bala be 'a' and 'b' respectively.
a - 10 = 1/3 (b - 10) --- (1)
b = a + 12
Substituting b = a + 12 in first equation,
a - 10 = 1/3 (a + 2) => 3a - 30 = a + 2
=> 2a = 32 => a = 16.
ANSWER:B
Answer: B
Question: A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
Options:
A)22
B)77
C)90
D)77
E)21
Rationale: SP of 1m of cloth = 8925/85 = Rs. 105
CP of 1m of cloth = SP of 1m of cloth - profit on 1m of cloth
= Rs. 105 - Rs. 15 = Rs. 90.
Answer: C
Answer: C
Question: If the day after tomorrow is three days before tuesday, do you know which day is today?
Options:
A)sunday
B)monday
C)saturday
D)thursday
E)wednesday
Rationale: Correct Answer : D
three days before tuesday is saturday, now saturday is day after tomorrow, so today is thursday
Answer: D
Question: A and B are two positive number,if A is divisible by 2 but not by 5 and B is divisible by 5 but not by 2, what could be the value of A and B in the following:- [ the answer are given in the order (A,B) ]
Options:
A)( 10,10)
B)(8,10)
C)(10,8)
D)(8,15)
E)(15,8)
Rationale: In option (A) , (B) and (C) since all are divisible by 2 and 5 so they are wrong.
In (D),
A=8 ; divisible by 2 but not by 5
B=15 ; divisible by 5 but not by 2.
option (E) is just the opposite of (D)
answer: (D) ie (8,15)
Answer: D
Question: Four of the five parts numbered a, b, c, d and e in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is your answer
Options:
A)10.36 + 69.802 + 24.938
B)2207.1 ÷ 21
C)16 2⁄3% of 630.6
D)32.84375 × 3.2
E)1⁄5 of 1⁄9 of 4729.4
Rationale: The other parts are equal to 105.10.
Answer E
Answer: E
Question: An express traveled at an average speed of 100 km/hr, stopping for 4 min after every 75 km. How long did it take to reach its destination 300 km from the starting point ?
Options:
A)8 hrs 29 min
B)6 hrs 28 min
C)3 hrs 12 min
D)6 hrs 28 min
E)1 hrs 28 min
Rationale: Explanation:
Time taken to cover 300 km = 300/100 = 3 hrs.
Number of stoppages = 300/75 - 1 = 3
Total time of stoppages = 4 x 3 = 12 min
Hence, total time taken = 3 hrs 12 min.
Answer: C
Answer: C
Question: 49 × 49 × 49 × 49 = 7?
Options:
A)4
B)7
C)8
D)16
E)None of these
Rationale: 49 × 49 × 49 × 49 = 7?
or, 7(2) × 7(2) × 7(2) × 7(2) = 7?
or 7(8) = 7? or, ? = 8
Answer C
Answer: C
Question: The angle between the minute hand and the hour hand of a clock when the time is 11.30, is
Options:
A)35°
B)65°
C)45°
D)165°
E)95°
Rationale: Angle between hands of a clock
When the minute hand is behind the hour hand, the angle between the two hands at M minutes past H 'o clock
=30(H−M/5)+M/2 degree
When the minute hand is ahead of the hour hand, the angle between the two hands at M minutes past H 'o clock
=30(M/5−H)−M/2 degree
Here H = 11, M = 30 and minute hand is behind the hour hand.
Hence the angle
=30(H−M/5)+M/2
=30(11−30/5)+30/2
=30(11−6)+15
=30×5+15 =165°
Answer is D.
Answer: D
Question: Here is a question to keep you busy. Assume that you travel to your friend's place at 20 mph, then how fast you must make the return trip via the same route such that the average speed of your travel becomes 40 mph?
Options:
A)Possible
B)No Idea
C)All above 3
D)Impossible
E)None of above
Rationale: D
Impossible
Let us first denote everything with variables.
d= distance to your friend's place
T = time taken to get there
t = time required to get back
R = Speed while returning back
d = 20T
T = d/20
d = Rt
t = d/R
We have made equations for T and t and now we can derive an equation for the round trip.
2d = 40(T + t)
2d = 40(d/20 + d/R)
2d = 40d(1/20 + 1/R)
1 = 20(R/20R + 20/20R)
20R = 20(R+20)
R = R + 20
Do you see the paradox here? You literally have to travel back at an infinite speed if you want to make the average speed of your trip 40 mph. The faster return speed will have lesser impact of the average speed but consider that the quicker your return trip is, the faster you will make it.
We are talking about travelling double the distance in the same time that was taken for one way trip. Thus, if you travel at infinite speed, you will be able to attain an average of 40 mph.
Answer: D
Question: Alice’s take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 4 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?
Options:
A)1/7
B)1/5
C)1/4
D)1/3
E)1/2
Rationale: Suppose the portion of her salary that she saved is X
and the remaining portion is Y
X+Y= total take home salary
given, 12X = 4Y
or 3X = Y
Total take-home salary= X+ 3X= 4X
hence, she saved 1/4-th portion of her take home salary
C
Answer: C
Question: The average of runs of a batsman of seven innings was 38. How many runs must be made in his next innings so as to increase his average of runs by 3?
Options:
A)72
B)54
C)70
D)62
E)None of these
Rationale: Explanation :
Average after 8 innings = 41
Required number of runs = ( 41 8) - (38 7) =328 - 266 =62
Answer : D
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
Options:
A)3.34
B)45
C)44
D)33
E)77
Rationale: 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: Option A
Answer: A
Question: A train running at the speed of 300 km/hr crosses a pole in 33 seconds. What is the length of the train?
Options:
A)2750
B)2850
C)2950
D)3050
E)3150
Rationale: Speed=(300 x(5/18)m/sec	=(250/3)m/sec.
Length of the train = (Speed x Time).
Length of the train =	((250/3)x 33)m = 2750 m
A
Answer: A
Question: Two pipes A and B can fill a tank in 6 and 12 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
Options:
A)4
B)6
C)8
D)10
E)12
Rationale: Part filled by A in 1 min. = 1/6
Part filled by B in 1 min. = 1/12
part filled by (A + B) in 1 min. = 1/6 + 1/12 = 1/4.
Both the pipes can fill the tank in 4 minutes.
Answer: A
Answer: A
Question: The sum of two numbers is 40 and their difference is 28. Find their product.
Options:
A)104
B)108
C)114
D)204
E)None
Rationale: Sol.
Let the numbers be x and y.
Then, x + y = 40 and
x - y = 28
2x = 68 => x = 34
y = 6
xy = 34 * 6 = 204
Answer : D
Answer: D
Question: If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing thesame no. by 31
Options:
A)3
B)6
C)5
D)8
E)9
Rationale: P ÷ 44 = 432
=> P = 432 * 44 = 19008
P / 31 = 19008 / 31 = 613, remainder = 5
C
Answer: C
Question: An integer n that is greater than 1 is said to be "prime-saturated" if it has no prime factor greater than or equal to n√n. Which of the following integers is prime saturated?
Options:
A)6
B)35
C)46
D)66
E)75
Rationale: According to the definition integer is said to be "prime-saturated" if the square of its largest prime is smaller than the integer itself.
Only E satisfies this: 75=3*5^2 --> the largest prime is 5 --> 5^2=25<75.
Answer: E.
Answer: E
Question: A family consists of grandparents, parents and three grand children. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?
Options:
A)28 4⁄7 years
B)31 5⁄7 years
C)32 1⁄7 years
D)27 1⁄2 years
E)None of these
Rationale: Required average = (67×2+35×2+6×3/2+2+3)
= (134+70+18/7)=222/7
= 31 5⁄7 years
Answer B
Answer: B
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?
Options:
A)187
B)278
C)278
D)400
E)277
Rationale: 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
Answer:D
Answer: D
Question: If a and b are different positive integers and a + b = a(a + b), then which of the following must be true?
I. a = 1
II. b = 1
III. b > a
Options:
A)I only
B)II only
C)III only
D)I and III
E)I and II
Rationale: a has to equal a squared, and that only works if a is 1. There are no positive integers less than 1, so I and III are correct.
Answer : D
Answer: D
Question: In the x- y plane, there are 4 points (0,0), (0,4), (7,4), and (7,0). If these 4 points makes a rectangle, what is the probability that x+y<4?
Options:
A)2/3
B)3/5
C)2/7
D)4/9
E)7/10
Rationale: The line y=-x+4 intersects the rectangle and these three points of intersection (0,0), (0,4) and (4,0) form a triangle.
The points below the line y=-x+4 satisfy x+y<4.
The area of this triangle is (1/2)(4)(4)=8
The area of the rectangle is 28.
P(x+y<4) = 8/28 = 2/7
The answer is C.
Answer: C
Question: Which of the following must be an integer if the integer x is divisible by both 28 and 21?
Options:
A)x/252
B)x/84
C)x/126
D)x/108
E)x/81
Rationale: the integer has to be multiple of LCM of 28 and 21, which is 84..
so x/84 will be an integer
ans B
Answer: B
Question: If x is a positive number and 1/2 the square root of x is the cube root of x, then x =
Options:
A)64
B)32
C)16
D)4
E)1
Rationale: 1/2 the square root of x is cube root of x.
if x = 64..
then 1/2 the square root of x = 4 and cube of x is 64.
Option A.
Answer: A
Question: A father said his son , " I was as old as you are at present at the time of your birth. " If the father age is 38 now, the son age 5 years back was :
Options:
A)14
B)36
C)28
D)29
E)11
Rationale: Explanation:
Let the son's present age be x years .Then, (38 - x) = x x= 19.
Son's age 5 years back = (19 - 5) = 14 years
Answer: A) 14
Answer: A
Question: At what rate percent on simple interest will a sum of money double itself in 30 years?
Options:
A)3 1/3%
B)3 1/6%
C)3 1/5%
D)3 5/3%
E)7 1/3%
Rationale: P = (P*30*R)/100
R = 3 1/3%
Answer: A
Answer: A
Question: Davidson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.7. The probability that vice-president Baker will approve the proposal is 0.5. The probability that vice-president Corfu will approve the proposal is 0.4. The approvals of the three VPs are entirely independent of one another.
Suppose the Johnson must get VP Adam’s approval, as well as the approval of at least one of the other VPs, Baker or Corfu, to win funding. What is the probability that Johnson’s proposal is funded?
Options:
A)0.8
B)0.7
C)0.6
D)0.5
E)0.49
Rationale: probability of adams approval = 0.7
baker approval =0.5
corfu approval=0.4
proabability of approval is must adam approval and atleast one approval
= adam approval*baker approval*corfu approval(approval of both remaining)+adam approval*baker approval*corfu not approval(atleast one remaining approval)+
adam approval*baker not approval*coffu approval( atleast one remaining approval
= 0.7*0.5*0.4+0.7*0.5*0.6+0.7*0.5*0.4
=0.14+0.21+0.14
=0.49
E
Answer: E
Question: A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum?
Options:
A)7000
B)7029
C)7290
D)7010
E)7102
Rationale: Let the sum be Rs. x.
(x * 18 * 2)/100 - (x * 12 * 2)/100
= 840 => 36x/100 - 24x/100 =840
=> 12x/100 = 840 => x
= 7000.
Answer:A
Answer: A
Question: Out of three consecutive odd numbers ten times the first number is equal to addition of thrice the third number and adding 8 to thrice the second . What is the first number?
Options:
A)5/6
B)45/32
C)14/3
D)13/2
E)15/8
Rationale: Description :
=> 10x=3(x+2)+8+3(x+4)
=> 10x=6x+26
=> 4x=26
X=26/4=13/2
Answer D
Answer: D
Question: Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?
Options:
A)9 km/hour
B)10 km/hour
C)11 km/hour
D)12 km/hour
E)13 km/hour
Rationale: Explanation:
We need to calculate the distance, then we can calculate the time and finally our answer.
Lets solve this,
Let the distance travelled by x km
Time = Distance/Speed
x/10−x/15=2
[because, 2 pm - 12 noon = 2 hours]
3x−2x=60x=60.
Time=Distance/Speed
Time@10km/hr=60/10=6hours
So 2 P.M. - 6 = 8 A.M
Robert starts at 8 A.M.
He have to reach at 1 P.M. i.e, in 5 hours
So, Speed = 60/5 = 12 km/hr
Option D
Answer: D
Question: Rajan borrowed Rs.4000 at 5% p.a compound interest. After 2 years, he repaid Rs.2210 and after 2 more year, the balance with interest. What was the total amount that he paid as interest?
Options:
A)Rs.635.50
B)Rs.613.50
C)Rs.675.50
D)Rs.653.50
E)Rs.673.50
Rationale: 4000
200 ---- I
200
10 ---- II
---------------
4410
2210
--------
2000
110 ---- III
110
5.50 ---- IV
-----------
2425.50
2210
-----------
4635.50
4000
----------
635.50
ANSWER:A
Answer: A
Question: A number x is multiplied with itself and then added to the product of 4 and x. If the result of these two operations is 5, what is the value of x?
Options:
A)-4
B)-2
C)2
D)1 and -5
E)Cannot be determined.
Rationale: A number x is multiplied with itself --> X^2
added to the product of 4 and x --> X^2+4X
If the result of these two operations is -4 --> X^2+4X=5
i.e X^2+4X-5=0 is the Quadratic equation which needs to be solved.
(X-1)(X+5) = 0
Hence X=1. C=-5
IMO D
Answer: D
Question: If v and k are integers whose product is 400, which of the following statements must be true?
Options:
A)n + k > 0
B)n is not equal to k.
C)Either n or k is a multiple of 10.
D)If n is even, then k is odd.
E)If v is odd, then k is even.
Rationale: If v and k are integers whose product is 400, which of the following statements must be true?
A.n + k > 0n and k should have the same sign, but that means that they can also both be negative
B.n is not equal to k.20 x 20 = 400[i]
C.Either n or k is a multiple of 10. [i]25 x 16 = 400
D.If n is even, then k is odd.k can also be even since even x even will be even
E. If v is odd, then k is even.k must be even since odd x even = even
Answer: E
Question: In a school with 604 students, the average age of the boys is 12 years and that of the girls is 11 years. If the average age of the school is 11 years 9 months, then the number of girls in the school is
Options:
A)150
B)151
C)250
D)350
E)None
Rationale: Sol.
Let the number of grils be x.
Then, number of boys = (600 - x).
Then, (11 3/4 × 604)
⇔ 11x + 12(604 - x) ⇔ x = 7248 - 7097 ⇔ 151.
Answer B
Answer: B
Question: Farm Tax is levied on the 60% of the cultivated Land. The tax department collected total $ 5000 through the farm Tax from the village of Mr. william. Mr. william paid only $ 480 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is :
Options:
A)15%
B)16%
C)0.125%
D)0.2083%
E)none
Rationale: This will be equal to the percentage of total cultivated land he holds over the total cultivated land in the village. That leads to (480/5000)x100 =9.6%in percentage terms.
But the question asks ratio between his total land to total cultivated land. Hence the answer is 9.6%x (100/60) = 16%
The correct answer is (B).
Answer: B
Question: 60 + 5 * 12 / (180/3) = ?
Options:
A)22
B)77
C)29
D)61
E)21
Rationale: 60 + 5 * 12 / (180/3) = 60 + 5 * 12 / (60)
= 60 + (5 * 12)/60 = 60 + 1 = 61.Answer:D
Answer: D
Question: The ratio of the volumes of two cubes is 2744 : 3375. What is the ratio of their total surface areas?
Options:
A)71:76
B)71:131
C)71:145
D)71:167
E)71:113
Rationale: Ratio of the sides
= ³√2744: ³√3375 = 14 : 15
Ratio of surface areas
= 142 : 152 = 71:76
Answer:A
Answer: A
Question: Two vessels A and B contain mixtures of spirit and water. A mixture of 3 parts from A and 2 parts from B is found to contain 29% of spirit and a mixture of 1 part from A and 9 parts from B is found to contain 34 per cent of spirit. Find the percentage of spirit in A and B.
Options:
A)35, 25
B)40, 20
C)25, 35
D)50, 50
E)none of these
Rationale: Let X% be the percentage of spirit in A and Y% in B
3X/100 + 2Y/100 = 29% of (3 + 2)
3X/100 + 2Y/100 = 1.45
3X + 2Y = 145 ----------(i)
X/100 + 9Y/100 = (34/100) x 10
X + 9Y = 340 ----(ii)
Solving (i) and (ii) we get X = 25 and Y = 35
A contains 25% spirit and B contains 35% of spirit.
ANSWER:A
Answer: A
Question: Find large no. from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 10 as remainder
Options:
A)1235
B)1456
C)1567
D)1636
E)1635
Rationale: Let the smaller number be x. Then larger number = (x + 1365).
x + 1365 = 6x + 10
5x = 1355
x = 271
Large number = 271+1365 = 1636
D
Answer: D