RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A lemonade stand sold only small and large cups of lemonade on Tuesday. 1/5 of the cups sold were small and the rest were large. If the large cups were sold for 7/6 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?
A.7/16
B.7/15
C.10/21
D.14/17
Answer: D.14/17
Explanation: Let the total # of cups be 10.
# of small cups sold 1/5*10=2;
# of large cups sold 10-2=8;
Let the price of small cup be $6, then the price of larges cup would be 7/6*6=$7;
Revenue from small cups: 2*$6=$12;
Revenue from large cups cups: 8*$7=$56;
Fraction of total revenue from large cups: 56/(56+12)=14/17.
Answer: D.
Question: If a and b are the roots of the equation x2 - 8x + 8 = 0, then the value of a2 + b2 is:
A.36
B.48
C.17
D.6
Answer: B.48
Explanation: Sol.(b) The sum of roots = a+ b = 8
Product of roots = ab = 8
Now, a2 + b2 = (a + b)2 - 2ab = 64 - 16 = 48
Answer B
Question: A train running at a speed of 60 kmph crosses a pole in 9 seconds.What is the length of the train?
A.120 m
B.180 m
C.190 m
D.150 m
Answer: D.150 m
Explanation: 60 kmph=50/3 m/sec
50/3*9=150 m
ANSWER:D
Question: In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hats is 7:4:12. If there are a total of 138 hats in this group, how many of these hats are not blue?
A.96
B.42
C.48
D.64
Answer: A.96
Explanation: B:G:P = 7:4:12 --> total of 23 parts.
Not blue = (G + P)/(total)*92 = 16/23*138 = 96.
Answer: A.
Question: 123 school girls are to be transported in small vans. Each van can carry 8 girls only. What is the smallest possible number of vans that are needed to transport all 123 school girls?
A.4
B.8
C.16
D.24
Answer: C.16
Explanation: To find the number of vans, we divide 123 by 8.
123 *8 = 15 and remainder = 3
So 15 vans are needed to transport 15 ? 8 = 120 girls, and 1 van is needed to transport the 3 remaining girls. A total of 16 vans are needed.
correct answer C
Question: A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it?
A.11
B.10
C.21
D.20
Answer: B.10
Explanation: B
10
1/6 – 1/15 = 1/10 => 10
Question: A boat can move upstream at 22 kmph and downstream at 42 kmph, then the speed of the current is?
A.5
B.6
C.7
D.10
Answer: D.10
Explanation: US = 22
DS = 42
M = (42 - 22)/2 = 10.Answer:D
Question: A sum of money at simple interest amounts to Rs. 2240 in 2 years and to Rs. 2600 in 5 years. What is the principal amount
A.1000
B.1500
C.2000
D.2500
Answer: C.2000
Explanation: Explanation:
SI for 3 year = 2600-2240 = 360
SI for 2 year 360/3 * 2 = 240
principal = 2240 - 240 = 2000
Option C
Question: If M and N are non-zero integers, and M/N > 1, then which of the following must be true?
A.M > N
B.2M > N
C.MN > N
D.M^2< N^2
Answer: C.MN > N
Explanation: C
Question: A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 10%, he is only able to save Rs. 500 per month. What is his monthly salary?
A.Rs.4500
B.Rs.4000
C.Rs.4167
D.Rs.4200
Answer: C.Rs.4167
Explanation: Income = Rs. 100
Expenditure = Rs. 80
Savings = Rs. 20
Present Expenditure 80+80*(10/100) = Rs.88
Present Savings = 100 – 88 =Rs. 12
If savings is Rs. 12, salary = Rs. 100
If savings is Rs.500, salary = 100/12*500 = 4167
Answer : C
Question: What should be added to 4750 so that it may become a perfect square?
A.11
B.15
C.16
D.17
Answer: A.11
Explanation: 69x69=4761
4761-4750 = 11
If added to 11 get perfect square
answer =A
Question: There are three secretaries who work for four departments. If each of the four departments have one report to be typed out, and the reports are randomly assigned to a secretary, what is the probability Q that all three secretary are assigned at least one report?
A.8/9
B.64/81
C.4/9
D.16/81
Answer: C.4/9
Explanation: I got the same answer: Here's my reasoning
First Report you have 3 choices
Second Report you have 2 choices
Third Report you have 1 choice
Fourth report 3 choices again
Then total number of ways is: 3*2*1*3=3^2*2
This is not correct. You have assumed that the 4th report must go to someone who already has a report. There is no such constraint. You can easily give the 1st and 2nd reports to secretary 1, 3rd report to secretary 2 and 4th report to secretary 3. But you have ignored all such cases.
The number of ways of ensuring at least one report goes to each secretary is 4C2 (select 2 reports out of 4 which go to the same person)*3C1 (select the person who must type 2 reports)*2! (since you have 2 reports left which you must distribute to the 2 remaining people such that each person gets one) = 36
Required probability Q = 36/81.C
Question: A train passes a station platform in 31 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A.165 m
B.240 m
C.300 m
D.365 m
Answer: A.165 m
Explanation: Speed = 54 x	5/18	m/sec = 15 m/sec.
Length of the train = (15 x 20)m = 300 m.
Let the length of the platform be x metres.
Then,	(x + 300)/31	= 15
x + 300 = 465
x = 165 m.Answer: Option A
Question: A store raised the price of an item by exactly 50 percent. Which of the following could NOT be the resulting price of the item?
A.150
B.300
C.275
D.600
Answer: C.275
Explanation: If it raised the value by 50% then the resulting price is 1.5 times the original price. So the final answer has to be a multiple of 1.5. Check the answers.
150 - Yes
300 - Yes
275 - No
600 - Yes
225 - Yes
Answer : C
Question: The diagonal of the floor of a rectangular closet is 7 feet. The shorter side of the closet is 4 feet. What is the area of the closet in square feet?
A.26
B.27
C.28
D.29
Answer: B.27
Explanation: Other side =
15 2 - 9 2
2 2
ft
=
225 - 81
4 4
ft
=
144
4
ft
= 6 ft.
Area of closet = (6 x 4.5) sq. ft = 27 sq. ft.
B)
Question: The ages of two persons differ by 16 years. 5 years ago, the elder one was 3 times as old as the younger
one. What are their present ages of the elder person
A.29
B.20
C.25
D.30
Answer: A.29
Explanation: Explanation:
Let's take the present age of the elder person = x
and the present age of the younger person = x � 16
(x � 5) = 3 (x-16-5)
=> x � 5 = 3x � 63
=> 2x = 58
=> x = 58/2 = 29
Answer: Option A
Question: a printer number the page of a book starting with 1 and uses 3189 digits in all How many pages dose the book have ?
A.1000
B.1074
C.1075
D.1080
Answer: B.1074
Explanation: Solution
No of digits in 1-digit page nos. = 1 * 9 = 9 .
No of digits in 2-digit page nos. = 2 * 90 = 180.
No of digits in 3-digit page nos. = 3 * 900 = 2700 .
No of digits in 4-digit page nos. = 3189 - (9 + 180 + 2700) = 3189 - 2889 = 300.
∴ N0. of pages with 4-digit page nos. = (300/4) =75
Hence, total number of pages = (999 + 75) = 1074 .
Answer B
Question: A sum of money deposited at compound interest (compounded yearly) amounts to $6200 in 2 years and to $6324 in 3 years. What is the interest rate?
A.2%
B.3%
C.4%
D.5%
Answer: A.2%
Explanation: 6324 - 6200 = 124
124 / 6200 = 0.02 = 2%
The answer is A.
Question: A boat sails 15 km of a river towards upstream in 5 hours. How long will it take to cover the same distance downstream, if the speed of current is one-fourth the speed of the boat in still water:
A.1.8h
B.3h
C.4h
D.5h
Answer: B.3h
Explanation: Explanation:
Upstream speed = B-S
Downstream speed = B + s
B - S = 15/5 = 3 km/h
Again B = 4S
Therefore B - S = 3 = 3S
=> S = 1 and B = 4 km/h
Therefore B + S = 5km/h
Therefore, Time during downstream = 15/5 = 3h
Answer: B
Question: Difference between the length &breadth of a rectangle is 18 m. If its perimeter is 206 m, then its area is?
A.2400 m^2
B.2160 m^2
C.2520 m^2
D.2560 m^2
Answer: B.2160 m^2
Explanation: Solving the two equations, we get: l = 54 and b = 40.
Area = (l x b) = (54 x 40) m2 = 2160 m^2
B
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
A.79.2
B.80
C.82.5
D.88.3
Answer: A.79.2
Explanation: Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 8 => x = 8y
(x + 264)/20 = y
y = 22
Speed = 22 m/sec = 22 * 18/5 = 79.2 km/hr.
ANSWER A
Question: The area of a rectangular field is equal to 50 square meters. Its perimeter is equal to 30 meters. Find the width of this rectangle.
A.5
B.10
C.15
D.20
Answer: A.5
Explanation: L * W = 50 : area , L is the length and W is the width.
2 L + 2 W = 30 : perimeter
L = 15 - w : solve for L
(15 - W) * W = 30 : substitute in the area equation
W = 5 and L = 10
correct answer A
Question: The sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?
A.7
B.1
C.8
D.6
Answer: D.6
Explanation: 100 ---- 300 --- 3
900 --- 3
----
6 years
Answer:D
Question: Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:
A.13/109
B.13/162
C.13/111
D.13/102
Answer: D.13/102
Explanation: Let S be the sample space.
Then, n(S) = \inline {\color{Black}52C_{2} }=(52 x 51)/(2 x 1) = 1326.
Let E = event of getting 1 spade and 1 heart.
n(E)= number of ways of choosing 1 spade out of 13 and 1 heart out of 13 = \inline {\color{Black}13C_{1}\times 13C_{1} } = 169.
P(E) = n(E)/n(S) = 169/1326 = 13/102.
Answer: D) 13/102
Question: The sides of the triangle are in the ratio 1/2:1/3:1/4 and its perimeter is 104cm. The length of the longest side is?
A.32cm
B.48cm
C.50cm
D.28cm
Answer: B.48cm
Explanation: Ratio of sides = 1/2 : 1/3 : 1/4 = 6:4:3
Largest side = 104*6/13 = 48cm
Answer is B
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
A.8112
B.8000
C.8500
D.7500
Answer: A.8112
Explanation: A = 7500(26/25)2 = 8112
ANSWER A
Question: How many times are the hands of a clock at right angle in a day?
A.22
B.24
C.44
D.48
Answer: C.44
Explanation: Solution
In 12 hours, they are at right angles 22 times.
Therefore, In 24 hours, they are at right angles 44 times.
Answer C
Question: A person got Rs.35 more when he invested a certain sum at compound interest instead of simple interest for two years at 12% p.a. Find the sum?
A.7500
B.14583
C.15449
D.14567
Answer: B.14583
Explanation: P = (d * 1002) / R2
=> (35 * 100 * 100) / 12 * 12 = Rs.14583
Answer:B
Question: A boy is traveling from his house to school at 10km/hr and reached school 2hours late. Next day he traveled 20km/hr and reached 1hour early. Then find the distance between house and school?
A.50km
B.45km
C.33km
D.60km
Answer: D.60km
Explanation: Let distance be x
S1 = 10km/hr
S2 = 20km/hr
T1 = x/10hr
T2 = x/20hr
Difference in time = 2+1 = 3hr
(x/10)-(x/20) = 3
x = 60km
Answer is D
Question: In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 81 more candidates got selected than A. What was the number of candidates appeared from each State?
A.7000
B.8100
C.6000
D.5000
Answer: B.8100
Explanation: State A and State B had an equal number of candidates appeared.
In state A, 6% candidates got selected from the total appeared candidates
In state B, 7% candidates got selected from the total appeared candidates
But in State B, 81 more candidates got selected than State A
From these, it is clear that 1% of the total appeared candidates in State B = 81
=> total appeared candidates in State B = 81 x 100 = 8100
=> total appeared candidates in State A = total appeared candidates in State B = 8100
Question: Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 40%?
A.282
B.332.5
C.277
D.285
Answer: B.332.5
Explanation: Total CP per shirt = 225 + 1400/160 + 1.75 + 320/160 = Rs. 237.5
SP = CP[(100 + profit%)/100]
= 237.5 * [(100 + 40)/100] = Rs. 332.5.
Answer:B
Question: There are 7 people and 4 chairs. In how many different ways people can occupy the chairs?
A.840
B.1020
C.712
D.516
Answer: A.840
Explanation: number of ways = 7*6*5*4 = 840
Answer is A
Question: x is a positive integer of Z less than 500. When x is divided by 7, the remainder is 1; when x is divided by 3, the remainder is 2. How many x are there?
A.21
B.22
C.23
D.24
Answer: D.24
Explanation: Took me more than 2 mins to solve.
That's how I did it.
x is between 1-499 included.
Smallest number that can be written as 7n+1 (7*0+1) is 1
Largest number that can be written as 7n+1 is (7*71 +1) is 498
So there are total 72 numbers that can be written as 7n+1
Because x can also be written as 3m+2, we have to see how many numbers that can be written as 7n+1 also can be written as 3m+2
7*0+1 can not be written in the form 3m+2
7*1+1 can be written in the form 3m+2
7*2+1 can not be written in the form 3m+2
7*3+1 can not be written in the form 3m+2
7*4+1 can be written in the form 3m+2
Here we see a sequence that one out of every 4 numbers can be written as 3m+1
72/4= 24 numbers can be written as 3m+1
D is the answer
Question: Two friends Simpson & Stewie decide to get together
So they start driving cars towards each other. They plan to meet halfway. Each is riding at 6 Km/hr. They live 36 kms apart. Stewie has a pet "eagle" and it starts flying the instant they start traveling. The eagle flies back and forth at 18 Km/hr between them until the two meet.
How many kms does the eagle travel ?
A.54 kms
B.44 kms
C.34 kms
D.24 kms
Answer: A.54 kms
Explanation: Solution:
54
It takes 3 hours for the Simpson & Stewie to meet.
so the eagle flies for 3 hours at 18 Km/hr = 54 kms
Answer A
Question: In the manufacture of a certain product, 8 percent of the units produced are defective and 5 percent of the defective units are shipped for sale. What percent of the units produced are defective units that are shipped for sale?
A.0.2%
B.0.4%
C.0.8%
D.1.2%
Answer: B.0.4%
Explanation: 0.08*0.05 = 0.004 = 0.4%
The answer is B.
Question: How many five digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
A.360
B.720
C.278
D.279
Answer: B.720
Explanation: The given digits are six.
The number of four digit numbers that can be formed using six digits is
6P5 = 6 * 5 * 4 * 3 * 2
= 720.
Answer: B
Question: ABCD IS A square AEGF IS A rectangle..such that the rectangle shares 25% of the area of the suare ALSO AE lies ON THE LINE AB and AG lies on segment of AD.if the square shares half the area of the rectangle what is the ratio AE:AG?
A.1:4
B.8:1
C.4:1
D.3:1
Answer: B.8:1
Explanation: A------------B - - - - - -- -E
| | 50% |
G------------|- - - - - - - -F
| |
| 75% |
D -----------C
remaining Square 75% and remaining rectangle 50%
Rectangle share 25% area of Square so,
AB X AG = (AD X AB)/4
AD = 4 AG------------------(1)
Square share Half the area of Rectangle So,
AG X AB = (AE X AG)/2
AB = AE/2------------------(2)
in square all sides are equal i.e. AB=BC=CD=AD so, equation (1) and (2) both are equal
AE/2 = 4 AG
AE/AG = 8
AE : AG = 8:1
ANSWER:B
Question: Fill in the missing number:
18 14 12 ? 10.5 10.25
A.11
B.10.4
C.10.2
D.10.5
Answer: A.11
Explanation: 11
Divide each number by 2 and then add 5 to it.
ANSWER A
Question: Six people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
A.1/5
B.2/7
C.3/5
D.4/7
Answer: A.1/5
Explanation: Original share of 1 person = 1/6
New share of 1 person = 1/5
Increase = (1/5 - 1/6	= 1/30)
Therefore, Required fraction = (1/30)/(1/6)	= (1/30)x (6/1)	= 1/5
Answer is A.
Question: A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs.6.30 less, he would have gained 30%. Find the cost of the article.
A.30
B.40
C.50
D.60
Answer: A.30
Explanation: Let C.P=100
Gain=25%
S.P=125
Supposed C.P=80
Gain=30%
S.P=(130*80)/100=104
Diff=(125-104)=21
Diff 21 when C.P=100
then Diff 6.30 when C.P=(100*6.30)/21=30
ANSWER:A
Question: A drawer contains red socks, black socks, and white socks. What is the least number of socks that must randomly be taken out of the drawer to be sure of having four pairs of socks? (A pair is two socks of the same color.)
A.8
B.10
C.12
D.14
Answer: B.10
Explanation: A good Q, which becomes easy the moment we understand the logic behind it...
4 pair of socks means there will be atleast two pairs of one colour..
since the Q uses words"to be sure", we take the worst case where we pick a different colour each time we pick..
the worst case would be we have 3 of each colour, such that the one picked up after that fulfills the condition of four pair...
3 of each colour means 1 pair +1 of each colour..
so total =3*3=9..
now the tenth we pick, irrespective of the colour picked, would make it four pairs..
so total =9+1=10 ..
ANS:B
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
A.480 liters
B.600 liters
C.720 liters
D.800 liters
Answer: A.480 liters
Explanation: 1/x - 1/20 = -1/24
x = 120
120 * 4 = 480
ANSWER:A
Question: A city council will select 2 of 9 available firefighters and 1 of 6 available police officers to serve on an advisory panel. How many different groups of 3 could serve on the panel?
A.36
B.72
C.144
D.216
Answer: D.216
Explanation: Ways to select 2 firefighters out of 9 is C29=36;
Ways to select 1 police officer out of 6 is C16=6;
Total ways to select 2 firefighters out of 9 and 1 police officer out of 6 is 36*6=216.
It's called Principle of Multiplication: if one event can occur in m ways and a second can occur independently of the first in n ways, then the two events can occur in m*n ways.
Answer: D.
Question: Of two mixers and one T.V cost Rs.7000, while two T.Vs and one mixer cost Rs.9800, the value of one T.V is :
A.Rs.2800
B.Rs.2100
C.Rs.4200
D.Rs.8400
Answer: C.Rs.4200
Explanation: Explanation:
2x+y = 7000 ............ (i)
x+2y= 9800 ..............(ii)
Solving (i) and (ii), we get y = 4200
Correct Option : C
Question: Jake remembers only the last three letters of his four-letter Klingon name. If he is sure that the first letter is neither "N" nor "Z", and assuming that there are only 10 letters in the Klingon alphabet, what is the probability that he will give the correct name when asked for it by the space attendant?
A.8/100
B.9/100
C.1/8
D.4/5
Answer: C.1/8
Explanation: Total letters 10, out of which the first letter is anything of 10 but N or X...
So there are 8 possible letters for first place..
And only one of them is correct..
So 1/8..
Answer: C
Question: A, B and C rents a pasture for Rs.957. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
A.270
B.289
C.297
D.255
Answer: C.297
Explanation: 12*8 :16*9 = 18*6
8: 12: 9
9/29 * 957 = 297
Answer: C
Question: A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
A.675, Rs.1350
B.575, Rs.1350
C.1350, Rs.675
D.1450, Rs.675
Answer: A.675, Rs.1350
Explanation: Area = (l + b +2d) 2d
= (75 + 55 +2.5 * 2) 2*2.5 => 675
675 * 2 = Rs.1350
ANSWER:A
Question: The least number which when increased by 5 each divisible by each one of 24, 32, 36 and 54 is :
A.427
B.859
C.869
D.4320
Answer: B.859
Explanation: Solution
Required number = (L.C.M. of 24, 32, 36, 54) - 5 = 864 - 5 = 859. Answer B
Question: The length of the bridge, which a train 170 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
A.766 m
B.205 m
C.245 m
D.156 m
Answer: B.205 m
Explanation: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time
= 30 sec. Let the length of bridge be x meters. Then, (170 + X)/30 = 25/2
==> 2(170 + X) = 750 ==> X
= 205 m.
Answer: B
Question: Two pipes can fill a tank in 10 and 12 hours, while third pipe will make the tank empty in 20 hours. If all three pipes operate simultaneously. In how many hours the tank will be filled ?
A.5.5 Hours
B.7.5 Hours
C.8.5 Hours
D.9.5 Hours
Answer: B.7.5 Hours
Explanation: In 1 hour it fill 1/10 + 1/12 - 1/20 = 8/60
So fill tank fillup in 60/8 = 7.5 Hours
ANSWER:B
Question: 0.0003 x 0.3 = ?
A.0.0009
B.9.0e-05
C.0.09
D.0.009
Answer: B.9.0e-05
Explanation: 3 x 3 = 9.
Sum of decimal places = 5
0.0003 x 0.3 = 0.00009
Answer: Option B
Question: A rectangular table seats 7 people on each of two sides, with every person directly facing another person across the table. If fourteen people choose their seats at random, what is probability that any two of them directly face other?
A.1/13
B.1/8
C.1/7
D.15/56
Answer: A.1/13
Explanation: A B C D E F G
------------
| TABLE |
------------
H I J K L M N
A to N are 14 people.
Prob to select any 1 person = 1
Prob to select the person opposite to the chosen person = 1/13
For ex. If we select A as the person than prob of choosing N is 1/13.
Hence, answer will be A.
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
A.38008
B.38000
C.27888
D.27799
Answer: B.38000
Explanation: CP + CP/8 = 45000
CP = 40000
SP = 40000*(95/100) = 38000
Answer:B
Question: If the cost price of 20 articles is equal to the selling price of 25 articles, what is the % profit or % loss made by the merchant?
A.25% loss
B.25% profit
C.20% loss
D.20% profit
Answer: C.20% loss
Explanation: Explanatory Answer
Approach: Assume a value for cost price. Compute cost price and selling price for the same number of articles
Let the cost price of 1 article be $1.
Therefore, cost price of 20 articles = 20 * 1 = $20
The selling price of 25 articles = cost price of 20 articles = $20.
Let us find the cost price of 25 articles.
Cost price of 25 articles = 25 * 1 = $25.
Therefore, profit made on sale of 25 articles = Selling price of 25 articles - cost price of 25 articles
= 20 - 25 = -$5.
Because the profit is in the negative, the merchant has made a loss of $5.
Therefore, % loss = Loss/Cost Price∗100
% loss = 5/25∗100 = 20% loss.
Choice C
Question: A seller has 1000kg of rice part of which he sells at 8% profit and the rest at 18% profit. He gains 14%. The quantity sold at 18% profit is?
A.200 kg
B.300 kg
C.400 kg
D.600 kg
Answer: D.600 kg
Explanation: By rule of alligation,
Profit% by selling 1st part Profit% by selling 2nd part
8 18
Net % profit
14
18-14=4 14-8=6
=> Quantity of part1 : Quantity of part2 = 4 : 6 = 2 : 3
Total quantity is given as 1000 kg. So quantity of part2 (quantity sold at 18% profit)
=1000×35
= 600 kg
D
Question: The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
A.2261
B.2888
C.1200
D.2699
Answer: C.1200
Explanation: P --- 10 ---- 600
P --- 5 ----- 300
3P --- 5 ----- 900
------
=> 1200
Answer: C
Question: How many such 3's are there in the following number sequence which are immediately Preceded by an odd number and immediately followed by an even number? 5 3 8 9 4 3 7 2 3 8 1 3 8 4 2 3 5 7 3 4 2 3 6
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: A is followed by B means : A comes first,B comes next
A preceded by B means : B comes first, A comes next
The sets which satisfy the condition is: 5 3 8
1 3 8
7 3 4
ANSWER:C
Question: PR is tangent to a circle at point P. Q is another point on circle such that PQ is diameter of circle and RQ cuts circle at M. if radius of circle is 4 units and PR=6units. find ratio of triangle PMR to PQR.
A.11/20
B.3/5
C.13/20
D.18/25
Answer: C.13/20
Explanation: let PM = y
QM= x
MR = 10-x
In triangle PQM,
PM^2+QM^2 = PQ^2
=> x^2+y^2=64 .....(1)
In triangle PMR,
PM^2+ MR^2= PR^2
y^2+(10-x)^2=36......(2)
solving for x and y
x=6.4
y=4.8
taking permineter of triangle PQR =24
perimeter of triangle PMR = 14.4
take ratio 14.4/24= 0.6
ANSWER:C