RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A is a working partner and B is a sleeping partner in a business. A puts in 80,000 and B 70,000. A gets 25% of the profit for managing the business, and the rest is divided in proportion to their capitals. Find the profit if B get 14000.
A.42000
B.46000
C.54000
D.40000
Answer: D.40000
Explanation: Let amount distributed between A and B is x
Ratio of capital between A and B is 8:7
If B get 14000 Then
x*7/15 = 14000
x*7 = 210000
x = 30000
Let total profit = y
y*75/100 = 30000
y = 40000
Answer D
Question: Seven fencers participate in a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
A.30
B.36
C.42
D.48
Answer: C.42
Explanation: 7*6 = 42
The answer is C.
Question: In 1995, the Johnsons spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Johnsons cut back their water usage. By how much must the Johnsons have reduced their 1996 water usage to pay exactly the same amount R in 1996 as they paid in 1995?
A.33 1⁄3%
B.40%
C.50%
D.66 2⁄3%
Answer: A.33 1⁄3%
Explanation: water rate increases by 50 % in 1996 means 150% of rate in 1995. to pay exactly the same amount R in 1996 as they paid in 1995, water use should decrease in the same ratio
150-> 100 means 1/3 rd= 33(1/3) %.A
Question: In how many ways can you seat 5 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?
A.48
B.1720
C.2880
D.5040
Answer: A.48
Explanation: Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 2 chairs to sit. The remaining 4 people can sit in 4! ways. Thus the # of arrangements is 2*4! = 48.
Answer: A.
Question: In a class of 50 students, 18 take Chorus, 26 take Band, and 2 take both Chorus and Band. How many students in the class are not enrolled in either Chorus or Band?
A.8
B.12
C.15
D.16
Answer: A.8
Explanation: 16 + 2 + 24 + x = 50
42 + x = 50
x = 8 students
A)
Question: The average age of a husband, wife and their child 19 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is?
A.3 years
B.5 years
C.16 years
D.4 years
Answer: A.3 years
Explanation: Sum of the present ages of husband, wife and child
= (23 * 2 + 5 * 2) = 57 years.
Required average
= 57/19
= 3 years.
Answer:A
Question: It is currently 7:16 PM. At what time in the morning was it exactly 19,443 minutes earlier?
A.7:11
B.7:13
C.7:17
D.7:19
Answer: B.7:13
Explanation: Converting 19,443 minutes to hours, we get 19,443/60 = 324 R 3; that is 324 hours and 3 minutes. All of the answers are during the same hour of the morning, thus the hours can be assumed to bring us into the 7 AM hour evenly from 7:16 PM. Thus 324 hours ago was 7:16 AM. Take an extra 3 minutes off, and it was 7:13 AM. B
Question: A man has some hens and cows. If the number of heads be 46 and the number of feet equals 140, then the number of hens will be:
A.22
B.23
C.24
D.26
Answer: A.22
Explanation: let hens be x and cows be y
now,
feet: x*2+y*4=140
heads: x*1+y*1=46
implies, 2x+4y=140 and x+y=46
solving these two equations, we get x=22 and y=24
Therefore, hens are 22.
ANSWER:A
Question: Sony and Johnny caught 60 fishes. Sony caught four times as many as Johnny. How many fishes did Johnny catch?
A.12
B.16
C.34
D.38
Answer: A.12
Explanation: s+j=60
s=4*j
j=12
ANSWER:A
Question: Set M contains number that satisfy the condition that, if integer x is in the set then x + 1 will also be in the set M. If -4 is one value in the set, which of the following values must also be present in the set M? I) -6 II) -2 III) 2
A.I only
B.II only
C.I and II only
D.II and III only
Answer: D.II and III only
Explanation: Since -4 is in the set, then the set must also include -3, -2, -1, 0, 1, 2, 3, 4, etc...
Depending on whether -4 is the starting element in the set or not, we can have -6...or not.
The answer is D.
Question: 3 candidates in an election and received 2136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
A.45%
B.49%
C.54%
D.59%
Answer: C.54%
Explanation: Total number of votes polled = (2136 + 7636 + 11628) = 21260
So, Required percentage = 11628/21260 * 100 = 54%
C
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
A.11
B.89
C.77
D.66
Answer: B.89
Explanation: Speed = 240/24 = 10 m/sec.
Required time = (240 + 650)/10 = 89 sec.
Answer:B
Question: In one year, the population, of a village increased by 12% and in the next year, it decreased by 12%. If at the end of 2nd year, the population was 14784, what was it in the beginning?
A.7787
B.8000
C.15000
D.1277
Answer: C.15000
Explanation: x*112/100 * 88/100 = 14784
X*0.9856=14784
X=14784/0.9856
=> 15000
Answer:C
Question: How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
A.50 sec
B.26 sec
C.80 sec
D.82 sec
Answer: A.50 sec
Explanation: The distance to be covered = Sum of their lengths = 200 + 300 = 500 m.
Relative speed = 72 -36 = 36 kmph = 36 * 5/18 = 10 mps.
Time required = d/s = 500/10 = 50 sec.
Answer: A
Question: In a certain match all the teams were to play with each other. If there are 15 teams, how many matches will have to be played?
A.120
B.105
C.110
D.90
Answer: B.105
Explanation: 15c2
=105
ANSWER:B
Question: The area of a circle is increased by 1500%. By what percent has the diameter of the circle increased?
A. 100%
B. 500%
C. 300%
D. 600%
Answer: B. 500%
Explanation: The area of the circle is increased by 1500%, thus the area is increased 16 times.
The area of a circle it proportional to the square of the diameter (area=πd^2/4), therefore the diameter must increase 4 times (diameter increase 4 times = area increase 16 times), which is increase by 500%.
Answer: B.
Question: Solve the inequality
{(x^2)-7|x|+10}/{(x^2)-6x+9}
A.-3
B.-5
C.3
D.5
Answer: B.-5
Explanation: taking one time |x| as +ve we get x=5 while
taking |x| as -ve we get x= -5
ANSWER:B
Question: A's salary is 40% of B's salary which is 25% of C's salary. What percentage of C's salary is A's salary ?
A.10
B.93
C.78
D.76
Answer: A.10
Explanation: Explanation:
A's Salary = 40% of B = 40% of (25% of C) = % of C = 10% of C.
Answer: A) 10
Question: There are 66 people in a certain community who belong to the local golf club, tennis club or both clubs. If twice as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs?
A.4
B.31
C.17
D.21
Answer: B.31
Explanation: let's find the range of Both and hence the range of x.66 = x + 2xx = 22In this case Both = 0 Maximum value of Both: Say there is maximum overlap between the two sets. One set has x so it could be a subset of the set 2x.66 = 2xX=33 So Both lies between 0 and 33 Only option (B) satisfies this condition. ANSWER:B
Question: In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ?
A.6
B.12
C.18
D.24
Answer: B.12
Explanation: Explanation:
Let the number of boys be x. Then, (3/4)x = 18 or x = 18 x(4/3) = 24.
If total number of students is y, then (2/3) y = 24 or y = 24 x (3/2) = 36.
Therefore Number of girls in the class = (36 - 24) = 12.
Answer: B
Question: A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform?
A.18 min
B.16 min
C.19 min
D.47 min
Answer: D.47 min
Explanation: Let the length of the train be x m.
When a train crosses an electric pole, the distance covered is its own length.
So, x = 12 * 36 * 5 /18 m = 120 m.
Time taken to cross the platform = (120 +350)/ 36 * 5/18 = 47 min.
Answer:D
Question: Two brothers were expected to return here on the same day. Rajat returned 3 days earlier but Rohit returned 4 days later. If Rajat returned on Wednesday, what was the expected day when both the brothers were to return home and when did Rohit Return?
A.Wednesday, Sunday
B.Thursday, Monday
C.Saturday, Wednesday
D.Monday, Friday
Answer: C.Saturday, Wednesday
Explanation: Rajat returned on Wednesday -i.e. 3 days earlier
so actual day to return home is Saturday.
Rohit returned after days so Wednesday.
ANSWER:C
Question: A is twice as good a work man as B and together they finish the work in 14 days. In how many days A alone can finish the work?
A.12
B.21
C.77
D.99
Answer: B.21
Explanation: WC = 2:1
2x + x = 1/14 => x = 1/42
2x = 1/21
A can do the work in 21 days.
Answer:B
Question: P can do a work in 12 days. Q can do the same work in 9 days and R can do the same in 12 days. Q and R start the work and leave after 3 days. P finishes the remaining work in --- days.
A.5
B.8
C.9
D.10
Answer: A.5
Explanation: Work done by P in 1 day = 1/24
Work done by Q in 1 day = 1/9
Work done by R in 1 day = 1/12
Work done by Q and R in 1 day = 1/9 + 1/12 = 7/36
Work done by Q and R in 3 days = 3Ã—7/36 = 7/12
Remaining work = 1 â€“ 7/12 = 5/12
Number of days in which P can finish the remaining work = (5/12) / (1/12) = 5
Option A
Question: If m and n are positive integers and m^2 + n^2 = 58, what is the value of m^3 + n^3?
A.72
B.224
C.370
D.512
Answer: C.370
Explanation: You need to integers which squared are equal 58.
Which could it be ? Let's start with the first integer:
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25
6^2 = 36
7^2 = 49
Stop. The integers can't be greater than 7 or we will score above 58.
The second integer need to be picked up the same way.
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25
6^2 = 36
7^2 = 49
The only pair that matches is 7^2 + 3^2 = 58.
So 7^3 + 3^3 = 370.
Answer C.)
Question: A man can row downstream at 28 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
A.2, 9
B.4, 9
C.8, 9
D.19, 9
Answer: D.19, 9
Explanation: Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.
Given x + y = 28 --- (1)
and x - y = 10 --- (2)
From (1) & (2) 2x = 38 => x = 19, y = 9.
Answer:D
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm?
A.272 cm
B.786 cm
C.285 cm
D.186 cm
Answer: C.285 cm
Explanation: Area of a trapezium
= 1/2 (sum of parallel sides) * (perpendicular distance between them)
= 1/2 (20 + 18) * (15)
= 285 cm
Answer: C
Question: A man has Rs. 640 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
A.33
B.38
C.37
D.120
Answer: D.120
Explanation: Let number of notes of each denomination be x.
Then x + 5x + 10x = 640
⇒ 16x = 640
∴ x = 40.
Hence, total number of notes = 3x = 120
Answer:D
Question: The owner of a furniture shop charges his customer 25% more than the cost price. If a customer paid Rs. 4800 for a computer table, then what was the cost price of the computer table?
A.Rs. 3840
B.Rs. 5270
C.Rs. 6275
D.Rs. 6720
Answer: A.Rs. 3840
Explanation: CP = SP * (100/(100 + profit%))
= 4800(100/125) = Rs. 3840.
ANSWER:A
Question: M is the sum of the reciprocals of the consecutive integers from 501 to 600, inclusive. Which of the following is true?
A.1/3 < M < 1/2
B.1/5 < M < 1/3
C.1/7 < M < 1/5
D.1/6 < M < 1/6
Answer: D.1/6 < M < 1/6
Explanation: M = 1/501 + 1/502 + 1/503 + ...... + 1/600
If we replace the first 99 terms by 1/600, then we get a sum = 100/600 = 1/6. Since the actual terms are larger than 1/600, the sum is larger than 1/6.
If we replace the all the 100 terms by 1/500, we get a sum = 100/500 = 1/5. Since the actual terms are smaller than 1/500, the sum is less than 1/5.
Therefore 1/6 < M < 1/5
Choice D
Question: A bag contains 6 black and 6 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
A.3/4
B.1/2
C.1/7
D.1/8
Answer: B.1/2
Explanation: Let number of balls = (6 + 6) = 12.
Number of white balls = 6.
P (drawing a white ball) =6/12=1/2.
Option B.
Question: Two trains are moving in the same direction at 162 kmph and 18 kmph. The faster train crosses a man in the slower train in 33 seconds. Find the length of the faster train?
A.1300
B.1310
C.1320
D.1330
Answer: C.1320
Explanation: Relative speed = (162 - 18) * 5/18 = 8 * 5
= 40 mps.
Distance covered in 33 sec
= 33 * 40
= 1320 m.
The length of the faster train
= 1320 m.
Answer:C
Question: A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30° with the man’s eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60°. What is the distance between the base of the tower and the point P?
A.4√3 units
B.8 units
C.12 units
D.Data inadequate
Answer: D.Data inadequate
Explanation: Solution
One of AB, AD and CD must have been given.So, the data is inadequate.
Answer D
Question: By mixing two brands of coffee and selling the mixture at the rate of $177 per kg. a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing $200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?
A.$110.66
B.$132.66
C.$116.66
D.$126.66
Answer: C.$116.66
Explanation: C
$116.66
Let the cost of the brand be $X per kg.
C.P. of 5 kg = (2 * 200 + 3 * x) = $(400 + 3x)
S.P of 5 kg = $(5 * 177) = $885
[885 - (400 + 3x)]/(400 + 3x) * 100 = 18
24250 - 150x = 3600 + 27x
177x = 20650 => x = 116 2/3
So, cost of the other brand = $116.66.
Question: 6 men and 12 boys finish a job in 12 days, 12 men and 12 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days?
A.12 days
B.11 days
C.14 days
D.16 days
Answer: A.12 days
Explanation: 6M + 12B ----- 12 days
12M + 12B ------- 10 days
10M + 10B -------?
72M + 144B = 120M +120B
24B = 48M => 2M = B
3B + 12B = 15B ---- 12 days
5B + 10B = 15B -----? => 12 days
ANSWER:A
Question: A 260 metres long train runs at a speed of 55 Kmph.How much time will it take to cross a Platform 290 meters long?
A.36 seconds
B.18 seconds
C.60 seconds
D.20 seconds
Answer: A.36 seconds
Explanation: total distance =260m+290m=550m
speed=55*5/18=275/18
therefore time taken=(550/275)*18=36 sec
ANSWER:A
Question: For every positive integer n, the nth term of a sequence is the total sum of three consecutive integers starting at n. What is the total sum of terms 1 through 70 of this series?
A.6845
B.7225
C.7665
D.8025
Answer: C.7665
Explanation: Each term of the series has the form (n+n+1+n+2) = 3n+3
Since the series goes from 1 to 70, the sum of the series is:
3(1+2+...+70) + 70(3) =
3(70)(71)/2 + 70(3) =
105*71 + 210 = 7665
The answer is C.
Question: The length of a rectangular floor is more thanits breadth by 200%. If Rs.324 is requiredto paint the floor at the rate of Rs.3/sq m, what would be the length of the floor?
A.12
B.18
C.19
D.20
Answer: B.18
Explanation: Let the length and the breadth of the floor be l m and b m respectively.
l = b + 200% of b = l + 2b = 3b
Area of the floor = 324/3 = 108 sq m
l b = 108 i.e., l * l/3 = 108
l2 = 324 => l = 18.
B
Question: A man invested Rs. 14,400 in Rs. 100 shares of a company at 20% premium. If his company declares 5% dividend at the end of the year, then how much does he get?
A.234
B.600
C.388
D.278
Answer: B.600
Explanation: Explanation:
Number of shares = =120.
Face value = Rs.(100 x 120) = Rs.12000.
Annual income = = Rs. 600
Answer: B) Rs.600
Question: The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 90?
A.3
B.14
C.30
D.42
Answer: C.30
Explanation: Greatest common factor n and 16 is 4 = 2*2 * 2*2
Greatest common factor n and 45 is 3 = 3*3 *5
Greatest common factor n and 90 is = 2*3*5 =30
C
Question: Count the numbers between 10 - 99 which yield a remainder of 3 when divided by 9 and also yield a remainder of 2 when divided by 5?
A.Two
B.Five
C.Six
D.Four
Answer: A.Two
Explanation: Answer = A) Two
Numbers between 10 - 99 giving remainder 3 when divided by 9 = 12, 21, 30, 39, 48, 57, 66, 75, 84, 93
The Numbers giving remainder 2 when divided by 5 = 12, 57 = 2
Question: Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 87 floors per minute. At the same time Joyce gets on an elevator on the 71st floor of the same building and rides down at a rate of 93 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?
A.19
B.28
C.40
D.32
Answer: C.40
Explanation: Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 87 floors per minute. At the same time Joyce gets on an elevator on the 71st floor of the same building and rides down at a rate of 93 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?
60 floors/180 floors per minute=1/3 minutes
11+87/3=40
71-93/3=40
Answer : C
Question: What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, 35, 38, 43 , 46 x
A.23
B.51
C.36
D.35
Answer: B.51
Explanation: (B)
The pattern is + 3, + 5, + 3, + 5, …………
So the missing term is = 46 + 5 = 51.
Question: Heena covers a distance in 40 min , if she drives at a speed of 60 km/h on an average. Find the speed at which she must drive at to reduce the time of the journey by 60%.
A.60 km/h
B.140.48km/h
C.100 km/h
D.148.14 km/h
Answer: D.148.14 km/h
Explanation: Given Speed = 60 Kmph.
It means Heena covered 60 km in 60 min (1 hour). So, in 40 min he will cover 40 km.
60% time reduced = 40 - 60% of 40 = 16min.
Thus, Heena needs to cover 40 km in 16 min (0.27 hour).
Speed * Time = Distance.
Speed * 0.27 = 40
Speed = 148.14 kmph.
ANSWER : OPTION D
Question: If a and b are consecutive integers (b>a), which of the following statements could be false? 1. a^4+b is always even number. 2. a^2*b is always even number 3. (a + b) is always an odd number.
A.III only
B.II only
C.I,II only
D.I,III only
Answer: C.I,II only
Explanation: 2^4+3 =16+3 = 19 Option I false
2^2 * 3 = 4+3 =7 (odd number). Option II is false
odd + even = odd. Option III is true
Answer : C
Question: a,b,c,d, sitting in a row what is the probability that a & b sitting adjacent.
A.9/2
B.1/2
C.3/2
D.5/2
Answer: B.1/2
Explanation: total number of arrangement is= 4!= 24
Favorable event i.e a and b can be arranged in 2! and the remaining can be arranged in 3! since ab can be in any of the four positions.
so2!*3!/4! = 1/2
ANSWER:B
Question: A classroom has equal number of boys and girls. SEVEN girls left to play kho-kho, leaving twice as many boys as girls in the classroom. What was the total number of girls and boys present initially?
A.16
B.24
C.32
D.28
Answer: D.28
Explanation: after 7 girls left remaining 7 girls
now boys 14 are twice as many as remaining girls.
initially boys=14 and girls=14.
ANSWER:D
Question: 9 - 3 ÷ 1/3 + 4 = ?
A.4
B.3
C.6
D.9
Answer: A.4
Explanation: 9 - 3 1/3 + 4
=9-3÷1/3+4
=9-(3X3) +4
=9-9+4
=4
CORRECT ANSWER : A
Question: A cistern is fille in 8 hours and it takes 12 hours when there is a leak in its bottom. If the cistern is full, in what time shall the leak empty it?
A.22 hours
B.21 hours
C.24 hours
D.23 hours
Answer: C.24 hours
Explanation: Explanation:
work done by 1 hour by filling pipe = 1/8
work done by 1 hour by the leak and the filling pipe =1/12
work done by 1 hour by the leak = 1/8 – 1/12 =1/24
Hence the leak can empty it in 24 hours.
Answer: Option C
Question: A cube is divided into 343 identical cubelets. Each cut is made parallel to some surface of the cube. But before doing that, the cube is painted with green on one set of opposite faces, red on another set of opposite faces, and blue on the third set of opposite faces. How many cubelets are painted with exactly one colour?
A.125
B.150
C.175
D.200
Answer: B.150
Explanation: Each side of the cube has 7 x 7 = 49 cubelets.
Only the interior cubelets are painted one colour.
On each side, 5 x 5 = 25 cubelets are painted one colour.
Since the cube has six sides, the number of cubes with one colour is 6*25 = 150
The answer is B.
Question: The average (arithmetic mean) of the integers from 25 to 225, inclusive, is how much lower than the average of the integers from 50 to 1050 inclusive?
A. 450
B. 375
C. 500
D. 425
Answer: D. 425
Explanation: For an AP the mean or average of series is average of first and last term.
So, average of numbers between 50 to 1050, inclusive = (50+1050)/2 = 550
average of numbers between 25 to 225, inclusive = (25+225)/2 = 125
difference = 550 - 125 = 425
Answer is D
Question: If 10! × 10!/10^n is an integer, what is the largest possible value of n?
A.20
B.16
C.8
D.4
Answer: D.4
Explanation: 10! × 10!/10^n is an integer.
Or 10! × 10!/(1^2n*5^n)
This means we need to find the power of 5 in the numerator. We can safely say that the number of powers of 5 will be lower than the number of powers of 4 in the numerator.
Largest power of 5 in 10! = [10/5] + [10/25] = 2
Since there are 2 20!'s, power of 2 in the numerator = 2*2 = 4
Hence the largest value of b for which 10! × 10!/10^n is integer = 4
Correct Option : D
Question: What least number mustbe subtracted from 427398 so that remaining no.is divisible by 15
A.3
B.5
C.6
D.8
Answer: A.3
Explanation: Explanation:
On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted
Option A
Question: The perimeter of a semi circle is 144 cm then the radius is?
A.17
B.28
C.19
D.11
Answer: B.28
Explanation: 36/7 r = 144 => r
= 28
Answer: B
Question: A glucose molecule contains 6 carbon, 12 hydrogen and 6 oxygen atoms. During photosynthesis, green plants create glucose daily. If, over a period of 12 days, an eucalyptus plant (a green plant) creates 12,000 molecules of glucose then approximately how many more atoms of hydrogen than carbon are created on average per day?
A.60,000
B.6,000
C.2,500
D.250
Answer: B.6,000
Explanation: Solution:
We know that 12,000 glucose molecules are created over a period of 12 days. Therefore 12,000/12 = 1,000 glucose molecules are created on average per day.
Each glucose molecule contains 6 carbon atoms and 12 hydrogen atoms. So 1,000 glucose molecules contain 6 × 1,000 = 6,000 carbon atoms and 12 × 1,000 = 12,000 hydrogen atoms. The difference is 12,000 – 6,000 = 6,000.
The correct answer is B.
Question: Seller selling an apple for Rs.18, a Seller loses 1/6th of what it costs him. The CP of the apple is?
A.10
B.12
C.19
D.18
Answer: C.19
Explanation: SP=18Loss=CP19Loss=CP−SP=CP−18⇒CP19=CP−18⇒18 CP19=18⇒CP19=1⇒CP=19
C
Question: How many three digit number formed by using 2,3,4,5,6,7 once such that number is divisible by 15.
A.8
B.13
C.12
D.20
Answer: A.8
Explanation: 4*2*1=8
at one's place only 5 will come
and at ten's place 4 and 7 can be placed,
and at 100th place rest of the 4 digits can come...
so the answer is 8
ANSWER:A
Question: What is the present worth of Rs. 154 due in 2 years at 5% simple interest per annum?
A.140
B.266
C.120
D.277
Answer: A.140
Explanation: Let the present worth be Rs. x. Then,
S.I. = (154 - x)
(x * 5 * 2) / 100 = (154 - x)
10x = 15400 - 100x
110x = 15400 => x = 140.
Answer: A
Question: An equilateral triangle T2 is formed by joining the mid points of the sides of another equilateral triangle T1. A third equilateral triangle T3 is formed by joining the mid-points of T2 and this process is continued indefinitely. If each side of T1 is 40 cm, find the sum of the perimeters of all the triangles.
A.180 cm
B.220 cm
C.240 cm
D.270cm
Answer: C.240 cm
Explanation: We have 40 for first triangle, when we join mid-points of first triangle we get the second equilateral traingle then the length of second one is 20 and continues.
So we have 40,20,10,...
We have ratio = 1/2, and it is GP type.
Sum of infinite triangle is a/1-r = 40/1-(1/2) = 80
Equilateral triangle perimeter is 3a = 3*80 = 240.
So option C.
Question: In what time will a train 120 metres long cross an electric pole, if its speed be 72 km/hr?
A.7 sec
B.6 sec
C.8 sec
D.9 sec
Answer: B.6 sec
Explanation: Solution
Speed	= (72 x 5 /18) m/sec
= 20 m / sec
Time taken	= (120 /20) sec
= 6 sec.
Answer B