RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If the roots of the equation 2x2 - 5x + b = 0 are in the ratio of 2:3, then find the value of b?
A.3
B.4
C.5
D.6
Answer: A.3
Explanation: Let the roots of the equation 2a and 3a respectively.
2a + 3a = 5a = -(- 5/2) = 5/2 => a = 1/2
Product of the roots: 6a2 = b/2 => b = 12a2
a = 1/2, b = 3.
ANSWER:A
Question: The down stream speed of a boat is 50km/hr and its up stream speed is 10km/hr, then find the speed of boat in still water?
A.20km/hr
B.30km/hr
C.45km/hr
D.50km/hr
Answer: B.30km/hr
Explanation: speed of boat in still water = 1/2 (50+10) = 30 km/hr
Answer is B
Question: A report has 20 sheets each of 55 lines and each line consists of 65 characters. If this report is to be retyped with each sheet having 65 lines and each line of 75 characters what will be the reduction percent in the pages ?
A.22.5 %
B.35%
C.25%
D.15%
Answer: C.25%
Explanation: let 20 sheets contains 55*65*20 characters which is equals with y pages which contains 65*75*y characters .
Both the sheets have equal characters so, 20*55*65=y*65*75=>y=14.6 pages means 15 pages
so reduction in sheets =25%
ANSWER:C
Question: Which of the following is equal to 1(3/5)%?
A.0.012/100
B.0.12/100
C.1.6/100
D.12/100
Answer: C.1.6/100
Explanation: This notation may be confusing for some, since it looks like we're multiplying 1 and 3/5
How about adding a space:Which of the following is equal to (1 3/5)%
(1 3/5)% = 1.6% = 1.6/100
Answer:
C
Question: At the time of marriage, a man was 6 years elder to his wife. 12 years after their marriage, his age is 6/5 times the age of his wife. What was wife's age at the time of marriage ? Choose one answer.
A.36 years
B.30 years
C.18 years
D.24 years
Answer: C.18 years
Explanation: let wifes age= x
husband age = x+6
now after 12 years of mrg x+12 wifes age
x+6+12 husbands age
6/5(x+12)=x+6+12
after solving x=18
ANSWER:C
Question: The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
A.22
B.56
C.88
D.66
Answer: B.56
Explanation: 1 to 11 = 11 * 50 = 550
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 – 550 = 56'
Answer: B
Question: By using the numbers 1, 2, 3, 5 and 7 only once, how many five digit numbers can be made that are divisible by 50?
A.5
B.4
C.11
D.Not possible
Answer: D.Not possible
Explanation: A number to be divisible by 50 must end with 00 or 50.
So, not possible.
Answer: D.
Question: Fred has 200 animals. If 6% are chickens, how many of the animals are not chickens?
A.12
B.24
C.198
D.188
Answer: D.188
Explanation: 6% of the 200 animals are chickens.
This means there are 200*(6/100) chickens.
Therefore 200 - 200*(6/100) animals are not chickens
200 - 200*(6/100) = X
200 - 1200/100 = X
200 - 12 = X
188
D)
Question: the sum of two numbers is 15 and their geometric mean is 20% lower than arithmetic mean . find the numbers .
A.11,4
B.12,3
C.9,6
D.3,2
Answer: B.12,3
Explanation: let a and b are two numbers
so a+b=15 ....(1)
now GM=AM*80/100
or, sqrt(ab)=[(a+b)/2]*80/100
squaring both sides...and after that putting the value of (a+b)...we get.....
ab=36 now go through from option then we get 12*3=36
ANSWER:B
Question: Last week John spent 10 percent of his wages on recreation. This week, his wages are 10 percent less than last weekʼs wages and he spent 40 percent of his wages on recreation. The amount he spends on recreation this week is what percent of the amount he spent on recreation last week
A.180%
B.360%
C.200%
D.220%
Answer: B.360%
Explanation: Say John's wages last week were $100, so he spent 0.10*100=$10 on recreation;
This week's wages is 0.90*100=$90, so he spends 0.4*90=$36 on recreation;
36/10=3.60, hence the amount he spends on recreation this week is 360% of the amount he spent on recreation last week: 10*3.6=36
Answer: B
Question: If you are given $2, and the amount doubles every day, how much money will you have after 8 days?
A.$256
B.$512
C.$1024
D.$2048
Answer: A.$256
Explanation: 2^8=256
The answer is A.
Question: 19 5 17 = x
65 8 10 = y
What will be the value of x + y?
A.189
B.129
C.69
D.169
Answer: B.129
Explanation: according to options units digit is 9
7+1+1=9
10 's place +10's place+ unit place=1+1+7=9
according to this 5+1+6=12
so over all answer =129
ANSWER:B
Question: How long will it take a certain amount to increase by 30% at the rate of 15% simple interest?
A.20
B.30
C.40
D.50
Answer: B.30
Explanation: Let the principal be Rs. x
Simple interest = x*30/100 = 3x/10
T = 100*SI/PR = 100*3x/10 / x*15 = 2%
Alternatively, this can be solved by considering principal amount to be Rs. 100. Then simple interest becomes Rs. 30. ANSWER : B
Then, T = 100*30/100*15 = 2%
Question: The value of x + x(xx) when x = 2 is:
A.10
B.18
C.16
D.64
Answer: A.10
Explanation: x + x(xx)
Put the value of x = 2 in the above expression we get,
2 + 2(22)
= 2 + 2(2 × 2)
= 2 + 2(4)
= 2 + 8
= 10CORRECT ANSWER : A
Question: __2A
x__B
____
CC
In the multiplication problem above, A, B, and C represent distinct digits. If the sum of A and B is equal to 4, what is the value of C?
A.6
B.5
C.4
D.3
Answer: C.4
Explanation: If A+B=4
assuming A and B are positive then A*B<10 (they could be either 1,2,3,)
therefore
A*B=C
2*B=C
A+B=4
Three simple equations - divide the 1st/2nd --> A=2 plug it the 3rd --> B=2 --> C=4 (ANSWER C)
Question: Andrew started saving at the beginning of the year and had saved $240 by the end of the year. He continued to save and by the end of 2 years had saved a total of $540. Which of the following is closest to the percent increase in the amount Andrew saved during the second year compared to the amount he saved during the first year?
A.11%
B.25%
C.44%
D.56%
Answer: B.25%
Explanation: ( Savings in Year 1 ) + ( Savings in Year 2 ) = 540
240 + ( Savings in Year 2 ) = 540
( Savings in Year 2 ) = 300
Increase in saving in Year 2 = 60 ( 300 - 240 )
% increase in savings = (60/240)100 =>25%
Hence answer will be (B) 25%
Question: The ratio of the volumes of two cubes is 343 : 512. What is the ratio of their total surface areas?
A.1:22
B.8:12
C.36:41
D.81:19
Answer: C.36:41
Explanation: Ratio of the sides = ³√343 : ³√512
= 7 : 8
Ratio of surface areas = 72:82
= 36:41
Answer: C
Question: Present ages of Sameer and Anand are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Anand's present age in years?
A.A)24
B.B)25
C.C)26
D.D)27
Answer: A.A)24
Explanation: Let the present ages of Sameer and Anand be 5x and 4x years respectively.
Then, (5x + 3)/(4x + 3) = 11/9
9(5x + 3) = 11(4x + 3) => x = 6
Anand's present age = 4x = 24 years.
ANSWER:A
Question: The average marks of 10 students in a class is 100. But a student mark is wrongly noted as 60 instead of 10 then find the correct average marks?
A.A)78
B.B)82
C.C)95
D.D)91
Answer: C.C)95
Explanation: correct avg marks = 100+(10-60)/10
avg = 100-5 = 95
Answer is C
Question: A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
A.33
B.87
C.350
D.88
Answer: C.350
Explanation: D = 72 * 5/18 = 25 = 500 – 150 = 350
Answer:C
Question: How many 6 digit number can be formed from the digits 1, 2, 3, 4, 5, 6 which are divisible by 4 and digits are not repeated?
A.192
B.122
C.140
D.242
Answer: A.192
Explanation: Solution
For the number to be divisible by 4, the last two digits must be any of 12, 24, 16, 64, 32, 36, 56 and 52. The last two digit places can be filled in 8 ways. Remaining 3 places in 4P3 ways.
Hence no. of 5 digit nos. which are divisible by 4 are 24 × 8 = 192. Answer A
Question: x = 13.165
y = 7.496
z = 11.575
The number A is obtained by first rounding the values of x, y, and z to the hundredths place and then adding the resulting values. The number B is obtained by first adding the values of x, y, and z and then rounding the sum to the hundredths place. What is the value of A – B?
A.0.01
B.0.02
C.0.03
D.0.1
Answer: C.0.03
Explanation: Rounding off the values:
x = 13.17
y = 7.50
z = 11.58
A = 13.17 + 7.50 + 11.58 = 32.25
x + y + z = 13.165 + 7.496 + 11.575 = 32.206
B = 32.21
A - B = 0.03
Option C
Question: The average monthly salary of laborers and supervisors in a factory is Rs.1250 per month; where as the average monthly salary of 6 supervisors is Rs.2450. If the average monthly salary of the laborers is Rs.950 find the number of laborers?
A.33
B.42
C.65
D.787
Answer: B.42
Explanation: 5x 6x 2x
50 25 100
250x + 150x + 200x = 4200
600x = 4200
x = 7 => 6x = 42
Answer: B
Question: Three number are in the ratio 5:6:7. The sum of its largest and smallest numbers equals the sum of the third number and 48. Find the third number?
A.25
B.71
C.48
D.26
Answer: C.48
Explanation: Let the numbers be 5x, 6x and 7x.
Largest number = 7x
Smallest number = 5x
Third number = 6x
7x + 5x = 6x + 48
6x = 48
Third number is: 48.
Answer: C
Question: If 2x + 3y = 48; 2y + z = 19 and x + 2z = 29, what is the value of x + y + z ?
A.18
B.32
C.26
D.28
Answer: D.28
Explanation: On solving equation we get
x = 15, y = 6, z = 7
Answer D
Question: The present population of a town is 2100. Population increase rate is 5% p.a. Find the population of town before 1 years?
A.1500
B.1600
C.2000
D.2100
Answer: C.2000
Explanation: P = 2100
R = 5%
Required population of town = P/(1 + R/100)^T
= 2100/(1 + 5/100)
= 2100/(21/20)
= 2000(approximately)
Answer is C
Question: The two lines y = x and x = -4 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length Q of a cube whose surface area is equal to 6z?
A.Q=16
B.Q=8√2
C.Q=8
D.Q=2√2
Answer: D.Q=2√2
Explanation: 800score Official Solution:
The first step to solving this problem is to actually graph the two lines. The lines intersect at the point (-4, -4) and form a right triangle whose base length and height are both equal to 4. As you know, the area of a triangle is equal to one half the product of its base length and height: A = (1/2)bh = (1/2)(4 × 4) = 8; so z = 8.
The next step requires us to find the length of a side of a cube that has a face area equal to 8. As you know the 6 faces of a cube are squares. So, we can reduce the problem to finding the length of the side of a square that has an area of 8. Since the area of a square is equal to s², where s is the length of one of its side, we can write and solve the equation s² = 8. Clearly s = √8 = 2√2 , oranswer choice (D).
Question: Primary batteries, unlike secondary batteries, may be:
A.2
B.7
C.6
D.8
Answer: B.7
Explanation: Explanation:
Primary batteries (disposable batteries), which are designed to be used once and discarded when they are exhausted.
Secondary batteries (rechargeable batteries), which are designed to be recharged and used multiple times.
Answer: Option B
Question: A contractor hires 100 men to finish a job in 50 days. After 8 days, n men leave. After some more days, the contractor hires 2n more men to complete the job on time. For how many days did these 2n men work?
A.21
B.18
C.16
D.12
Answer: A.21
Explanation: Step1: Find Each day what % of work is finished ; it requires 50 days to complete which means each day 1/50= 2% work will be completed.
Step 2 : After 8 Days = 8* 2= 16% of work is finished. remaining is 84% ( which means if same 100 men were about to complete the job they would have required 42 more days)
Step3: Let us assume all people have left job. therefore contractor hires 2n people. initially it was taking 42 days to compete for n people. at present 2n people are present to finish job. hence 21 more days.
A
Question: A man drives his car and starts with the speed of 25 kmph with its speed increasing every hour by 5 kmph. In how many hours would it take him to drive 100 kms?
A.4 1â„4 hours
B.3 1â„2 hours
C.3 hours 15 minutes
D.Cannot be determined
Answer: C.3 hours 15 minutes
Explanation: Distance covered in first hour = 25 Ã— 1 = 25 km
Distance covered in next second hour = 30 Ã— 1 = 30 km
Distance covered in next third hour = 35 Ã— 1 = 35 km
Distance covered in first three hours
25 + 30 + 35 = 90 km
Remaining distance = 100 â€“ 90 = 10 km.
Now, this distance will be covered at the speed of 40 km/hr.
âˆ´ Time taken = 10â„40 = 1â„4 hour.
Total time= 3 + 1â„4 = 3 1â„4 hour
Answer C
Question: A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
A.29
B.92
C.30
D.32
Answer: C.30
Explanation: US = 25
DS = 35
M = (35 + 25)/2 = 30
Answer:C
Question: The population of a bacteria culture doubles every 3 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria
A.27
B.12
C.14
D.16
Answer: A.27
Explanation: This one's easy.
1000 * 2^t = 500,000
2^t = 500
Now gauging, since 2^8 = 256, then 2^9 = 512
So t = 9
But be careful, 't' is in time intervals of 3 minutes
So answer is 9*3 = 27 minutes
Answer (A)
Question: (0.76)(power 3) - (0.1)(power 3)/ (0.76)(power 2) + 0.076 + (0.1)(power 2) is:
A.0.66
B.0.68
C.0.96
D.0.69
Answer: A.0.66
Explanation: Given expression
= (0.76) (power 3) - (0.1)(power 3) / (0.76)(power 2) + (0.76 x 0.1) + (0.1)(power 2)
= a (power 3) - b(power 3) / a(power 2) + ab + b(power 2)
= (a - b)
= (0.76 - 0.1)
= 0.66
Answer is A.
Question: If 3^p - 3^(p-1) = 162 then p(p-1) =
A.12
B.16
C.20
D.30
Answer: C.20
Explanation: It seems like you were really close but you solved for p - 1 instead. I am curious - how did you reason through the question? Perhaps you figured the answer has to be in the form of p(p -1), e.g. (3)(4) = 12. Even then, had you figured p has to be a little bigger (plugging in 4 for p gives you 81 which is too low), So when you reasoned the answer to be 4 you may have plugged the 4 in the (p - 1) exponent place.
Again, a quick plugging in should get you (C) 20 as, the only other answer with consecutive integers as factors is far too big.
Question: total dinning bill of 7 people was $139.00 and 10% tip divided the bill evenly ?what is the bill amount each person shared .
A.21.84
B.22.84
C.23.84
D.24.84
Answer: A.21.84
Explanation: dinner bill of 7 person = 139 + 10% tip
so,
10% of 139 = (139*10)/100 = 13.9
So, the actual total amount = 139+13.9 = $ 152.9
so per head bill = 152.9/7 = $ 21.84
ANSWER:A
Question: A garrison of 400 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
A.10
B.17
C.15
D.11
Answer: A.10
Explanation: 400 --- 31
400 --- 3
120 --- ?
400*3 = 120*x => x =10 days
Answer: A
Question: If the areas of the three adjacent faces of a cuboidal box are 120 cm², 72 cm² and 60 cm² respectively, then find the volume of the box.
A.120 m³
B.400 m³
C.660 m³
D.720 cm m³
Answer: D.720 cm m³
Explanation: Sol.
Let the length, breadth and height of the box be, l, b, and h respectively, Then,
Volume = lbh = √(lbh)² = √lb * bh * lh = √120 * 72 * 60 = 720 cm³
Answer D
Question: Two stations P and Q are 65 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.9 am
B.12 am
C.10.30 am
D.12.30 am
Answer: A.9 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 = 65
=> 20x + 25(x-1) = 65
=> 45x = 90
=> x= 2
Means, they meet after 2 hours after 7 am, ie, they meet at 9 am
Answer is A.
Question: A bag contains 9 red, 2 green balls. 3 balls are drawn randomly. What is the probability that balls drawn contain exactly two green balls?
A.1/7
B.2/9
C.3/11
D.3/55
Answer: D.3/55
Explanation: Total number of balls = 9+2 = 11
n(S) = 11C3 = 11*10*9 / 3*2 = 165
n(E) = 2C2* 9C1 = 9
Probability = 9/165 = 3/55
Answer is D
Question: Find the missing number:
3 6 18 ? 7 8
A.35
B.36
C.37
D.38
Answer: B.36
Explanation: 3*2=6
6*2+6=18
18*2=36
36*2+6=78
we add 6 to product alternately. so blank is replaced by 36
ANSWER:B
Question: Let S be the set of all positive integers that, when divided by 8, have a remainder of 5. What is the 70th number in this set?
A. 557
B. 608
C. 613
D. 616
Answer: A. 557
Explanation: The set S = {5, 13, 21, 29, ..................... }
1st Number = 8 * 0 + 5 = 5
2nd Number = 8 * 1 + 5 = 13
3rd Number = 8 * 2 + 5 = 21
70th Number = 8 * (70-1) + 5 = 557
Answer = A
Question: What is the least value of x, So that 2x5476 is divisible by 9
A.7
B.8
C.9
D.3
Answer: D.3
Explanation: Explanation:
The sum of the digits of the number is divisible by 9.
Then the number is divisible by 9.
2 + x + 5 + 4 + 7 + 6 = 24 + x
Least value of x may be '3',
So that the total 24 + 3 = 27
is divisible by 9.
Answer: Option D
Question: A rectangle having length 120 cm and width 50 cm. If the length of the rectangle is increased by ten percent then how much percent the breadth should be decreased so as to maintain the same area.
A.25%
B.33.33%
C.40%
D.7.69%
Answer: D.7.69%
Explanation: Explanation :
Solution: (10/(120+10) * 100)% = 7.69%
Answer : D
Question: A 260 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
A.230m
B.240m
C.250m
D.260m
Answer: B.240m
Explanation: speed = (120 + 80)km/h (because direction is opposite hence relative velocity is added)= 500/9 m/s
time= 9sec
let the lenght of second train is x
total distance covered= 260 + x
therefore, D= speed*time
thus 260 + x = 500/9 * 9
x= 500-260=240 m
ANSWER:B
Question: The perimeter of a triangle is 40 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
A.38 cm2
B.85 cm2
C.50 cm2
D.45 cm2
Answer: C.50 cm2
Explanation: Area of a triangle = r * s
Where r is the inradius and s is the semi perimeter of the triangle.
Area of triangle = 2.5 * 40/2 = 50 cm2
Answer:C
Question: If the HCF of two numbers is 2 and their LCM is 70, then the numbers are:
A.2, 235
B.6, 70
C.4, 70
D.14, 10
Answer: D.14, 10
Explanation: Explanation:
HCF of the two numbers is 2
Let us take two numbers are x and y
Their LCM= 70
LCM is the product of two numbers.
LCM/HCF = 70/2 = XY/2
xy=70×2 = 140
xy = 140
x = 14, y = 10 or x = 70, y = 2.
But according to the options, the numbers are x = 14 and y = 10.
Answer: D
Question: What will be the compound interest on a sum of Rs. 29,000 after 3 years at the rate of 12% p.a.?
A.s.11123.77
B.s.11742.91
C.s.11123.20
D.s.10123.28
Answer: B.s.11742.91
Explanation: Amount = [29000 * (1 + 12/100)3]
= 29000 * 28/25 * 28/25 * 28/25
= Rs. 40742.91
C.I. = (40742.91 - 29000)
= Rs. 11742.91
Answer:B
Question: Special codes are designated by either a 7-letter or an 8-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different codes that can be designated with this system?
A.2 (26)^8
B.26(26)^7
C.27(26)^7
D.26(26)^8
Answer: C.27(26)^7
Explanation: 26^7+26^8 = 26^7(1+26)=27*26^7
The answer is C.
Question: The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?
A.281
B.771
C.440
D.767
Answer: C.440
Explanation: r = 7 h = 3
2πr(h + r) = 2 * 22/7 * 7(10) = 440
Answer:C
Question: The sum of the even numbers between 1 and n is 89*90, where n is an odd number, then n=?
A.167
B.173
C.179
D.185
Answer: C.179
Explanation: Let n-1 = 2a.
2+4+...+2a = 2*(1+2+...+a) = 2*(a)(a+1)/2 = (a)(a+1) = 89*90
Then a = 89 and n = 179.
The answer is C.
Question: A jogger running at 9 km/hr along side a railway track is 200 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
A.88
B.27
C.32
D.80
Answer: C.32
Explanation: Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 * 5/18 = 10 m/sec.
Distance to be covered = 200 + 120 = 320 m.
Time taken = 320/10 = 32 sec.
Answer: C
Question: A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The first wheel covers a distance of D feet in 100 revolutions. How many revolutions does the second wheel make in covering d feet?
A.100xy
B.100y - x
C.100x/y
D.100y/x
Answer: C.100x/y
Explanation: First Wheel with diameter x inches ----> So the circumference = x*pi --------- (1)
Second Wheel with diameter y inches ----> So the circumference = y*pi --------- (2)
Revolutions = distance/circumference
So, from equation (1)
100 = D/(x*pi)
D = 100 * x * pi ---------- (3)
From equation (2)
Revolutions = D/(y*pi) = (100 * x * pi) / (y*pi) = 100x/y
Answer (C)
Question: How long does a train 110 meters long running at the speed of 72 km/hour take to cross a bridge 132 meters in length ?
A.12.1 sec
B.10 sec
C.11 sec
D.13 sec
Answer: A.12.1 sec
Explanation: Speed = 72 km/hour = 72*(5/18) m/sec
= 20 m/sec
Total distance = 110+132 = 142 m
Time = D/S
= 242/20 = 12.1 seconds
ANSWER A
Question: In a certain corporation, there are 300 male employees and 150 female employees. It is known that 40% of the male employees have advanced degrees and 40% of the females have advanced degrees. If one of the 450 employees is chosen at random, what is the probability this employee has an advanced degree or is female?
A.1/2
B.2/3
C.3/5
D.7/10
Answer: C.3/5
Explanation: P(female) = 150/450 = 1/3
P(male with advanced degree) = 0.4*300/450 = 120/450 = 4/15
The sum of the probabilities is 9/15 = 3/5
The answer is C.
Question: A train 125 m long passes a man, running at 10 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
A.40
B.55
C.60
D.79
Answer: B.55
Explanation: Speed of the train relative to man = 125/10 = 25/2 m/sec.
= 25/2 * 18/5 = 45 km/hr
Let the speed of the train be x km/hr. Then, relative speed = (x - 10) km/hr.
x - 10 = 45 => x = 55 km/hr.
Answer: Option B
Question: A began business with 12000 and is joined afterwards by B with 72000. When did B join, if the profits at the end of the year are divided equally?
A.8 months
B.9 months
C.10 months
D.7 months
Answer: C.10 months
Explanation: Let B join after x months of the start of the business so that B’s money is invested for (12 – x) months.
∴ Profit ratio is 12 × 12000 : (12 – x) × 72000
or 12 : 6(12 – x)
Since profit is equally divided so
12 =6(12 – x) or x = 10. Thus B joined after 10 months.
Answer C
Question: A person incurs loss for by selling a watch for Rs1140.at what price should the watch be sold to earn a 5% profit ?
A.1200
B.1260
C.1301
D.1340
Answer: B.1260
Explanation: sol. let the new sp be Rsx.then
(100-loss%) : (1st sp)=(100+gain%) (2nd sp)
{(100-5)/1400}={(100+5)/x}=> x={(105*1140)/95} =1260.
Option B
Question: The salaries of A, B, and C are in the ratio of 1 : 2 : 3. The salary of B and C together is Rs. 6000. By what percent is the salary of C more than that of A?
A.100 %
B.200%
C.300%
D.600%
Answer: B.200%
Explanation: Explanation:
Let the salaries of A, B, C be x, 2x and 3x respectively.
Then,2x + 3x = 6000 => x = 1200.
A's salary = Rs. 1200, B's salary = Rs. 2400, and Cs salary Rs. 3600.
Excess of C's salary over A's=[ (2400 /1200) x 100] = 200%.
Answer: B
Question: A certain number of persons can finish a piece of work in 100 days. If there were 10 persons less, it would take 10 more days finish the work. How many persons were there originally?
A.90
B.100
C.110
D.120
Answer: C.110
Explanation: Explanation:
Assume that x persons can finish a piece of work in 100 days
Also it is given that (x−10) persons can finish a piece of work in 110 days (∵ 100 + 10 = 110)
More persons, less days(indirect proportion)
Hence we can write as(persons) x : (x−10) :: 110 : 100
⇒100x=110(x−10)
⇒100x=110x−1100
⇒10x=1100
⇒x=1100/10=110
Answer: Option C
Question: In how many ways can a team 16 be chosen out of a batch of 20 players?
A.4845
B.6852
C.3125
D.5846
Answer: A.4845
Explanation: Required number of ways= 20C16= 20C(20-16) = 20C4
= (20*19*18*17)/(4*3*2*1)
= 4845.
ANSWER:A
Question: Length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencingthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in meterr?
A.40 m
B.60 m
C.65 m
D.70 m
Answer: B.60 m
Explanation: Let breadth = x metres.
Then, length = (x + 20) metres.
Perimeter = 5300 m = 200 m.
26.50
2[(x + 20) + x] = 200
2x + 20 = 100
2x = 80
x = 40.
Hence, length = x + 20 = 60 m
B