RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Angelo and Isabella are both salespersons. In any given week, Angelo makes $550 in base salary plus 8 percent of the portion of his sales above $5,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same amount of money?
A. 7,500
B. 24,500
C. 25,500
D. 26,500
Answer: A. 7,500
Explanation: OFFICIAL SOLUTION:
The problem asks for the amount of weekly sales it takes for Angelo and Isabella to earn the same amount of money. You can write an equation that sets Angelo’s and Isabella’s weekly earnings equal to each other, with x representing weekly sales. Weekly earnings for each salesperson equal base salary plus commission. So Angelo’s earnings are 550 + (0.08)(x – 5,000), and Isabella’s are 0.10x. Set up the equation and solve:
550 + (0.08)(x – 5,000) = 0.10x
Distribute the 0.08:
550 + 0.08x – 400 = 0.10x
Combine terms and subtract 0.08x from both sides:
150 = 0.02x
Divide both sides by 0.02:
7,500 = x
Your answer is A.
Question: 101 Ã— 101 + 99 Ã— 99 = ?
A.10002
B.20004
C.20002
D.20102
Answer: C.20002
Explanation: Explanation :
(a + b)2 + (a âˆ’ b)2 = 2(a2 + b2)
(Reference : Basic Algebraic Formulas)
1012 + 992 = (100 + 1)2 + (100 âˆ’ 1)2 = 2(1002 + 12) = 2(10000 + 1) = 20002. Answer : Option C
Question: The lunch menu at a certain restaurant contains 4 different entrees and 5 different side dishes. If a meal consists of 1 entree and 2 different side dishes, how many different meal combinations T could be chosen from this menu?
A.10
B.20
C.40
D.80
Answer: C.40
Explanation: T=4C1 * 5C2
= 4 * (5*4*3!)/(3!2!)
= 4 * 10
= 40
Answer - C
Question: The two lines y = x and x = -6 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 of a cube whose surface area is equal to 6z?
A.16
B.3√2
C.8
D.2√2
Answer: B.3√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 (-6, -6) 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)(6 × 6) = 18; so z = 18.
The next step requires us to find the length of a side of a cube that has a face area equal to 18. 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 18. 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 = 18. Clearly s = √18 =3√2 , oranswer choice (B).
Question: I remember during the school days , the teacher asked the class "can you tell me the sum of the first 50 odd numbers ?".
I ran quickly to the teacher and told her "the answer is 2500". The teacher replied "lucky guess".
She then asked me "can you tell me the sum of first 73 odd numbers ?".
I wait for approx 10 seconds and replied with the correct answer.
How can i answer so quickly and whats the correct answer ?
A.8715
B.0152
C.3581
D.5329
Answer: D.5329
Explanation: D
5329
n^1
73 * 73= 5329 (sum of first 73 odd numbers).
50 * 50 = 2500 (sum of first 50 odd numbers).
Question: An article is bought for Rs.1300 and sold for Rs.1250, find the loss percent?
A.3 11/13%
B.3 2/9%
C.3 5/3%
D.3 2/3%
Answer: A.3 11/13%
Explanation: 1300 ---- 50
50 ---- ? => 3 11/13%
Answer: A
Question: Solve : 0.6*0.6+0.6*0.6
A.0.46
B.0.56
C.0.64
D.0.65
Answer: A.0.46
Explanation: = 0.6*0.6+(0.6*6) = 0.36+0.1 = 0.46
Answer is A.
Question: A day-trader plans to invest a total of $23,300 into 15 separate investments. If each investment requires a minimum deposit of $1,400, then which of the following is the maximum amount that she could put into any one investment?
A.$2,800
B.$3,000
C.$3,700
D.$3,800
Answer: C.$3,700
Explanation: We can also just keep track of the HUNDREDS DIGITS(since the hundreds digit is different for each answer choice).
Total of 14 minimized investments = (14)(1400) = $???600
The 15th investment + $???600 = $23,300
So, the HUNDREDS DIGITS of the 15th investment must be 7
Answer: C
Question: The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
A.16 2/3% profit
B.50/6% profit
C.16 2/3% loss
D.100/3% loss
Answer: C.16 2/3% loss
Explanation: Explanation:
10 CP = 12 SP
12 --- 2 CP loss
100 --- ? => 16 2/3%
Answer IS C
Question: The maitre 'd at an expensive Manhattan restaurant has noticed that 60% of the couples order dessert and coffee. However, 20% of the couples who order dessert don't order coffee. What is the probability Q that the next couple the maitre 'd seats will not order dessert?
A. 20%
B. 25%
C. 40%
D. 60%
Answer: B. 25%
Explanation: could you use a venn diagram and just go with the number 100.
60 people order dessert and coffee... which is the union of D and C.
Q=2/10 of D aren't in D U C = so 8/10 of D are in DUC which means =60 =8/10D. So D in total=75, and 15 D's aren't in D union C. which means 25 people are in C only + Neither.
B 25%
Question: The profit earned after selling a T-shirt for Rs.575/- is the same as loss incurred after selling the same T-shirt for Rs.295/-. What is the cost price of the T-shirt?
A.Rs.425/-
B.Rs.435/-
C.Rs.415/-
D.Rs.245/-
Answer: B.Rs.435/-
Explanation: Explanation:
Let ‘x’ be the CP. Then 575-x = x-295
x = Rs.435
Answer: Option B
Question: Excluding stoppages, the speed of a bus is 50 km/hr and including stoppages, it is 36 km/hr. For how many minutes does the bus stop per hour?
A.118 min
B.10 min
C.18 min
D.16 min
Answer: D.16 min
Explanation: Due to stoppages, it covers 14 km less.
Time taken to cover 14 km = 14/50 * 60
= 16 min.
Answer:D
Question: Ajay bought a motor cycle for Rs. 50,000. 2 years later he sold it to Vijay at 10% less of the cost price. Vijay spend 5% of the purchasing price on its maintenance. Later Vijay displayed the sale price of his motorcycle Rs. 50,000. Chetan wanted to purchase it at 15% discount but Vijay gave him two successive discounts of 10% and 5% instead of 15% in one time. What is the actual discount availed by Chetan?
A.15%
B.15.5%
C.14.5	%
D.16.5%
Answer: C.14.5	%
Explanation: Solution: 100 ----10%↓(1st discount)---> 90----5%↓---> 85.5
Net discount = 100-85.5 = 14.5%.
Answer: Option C
Question: A certain electric-company plan offers customers reduced rates for electricity used between 8 p.m. and 8 a.m. weekdays and 24 hours a day Saturdays and Sundays. Under this plan, the reduced rates Q apply to what fraction of a week?
A. 1/2
B. 5/8
C. 9/14
D. 16/21
Answer: C. 9/14
Explanation: Number of hours between 8 PM to 8 AM = 12
Number of hours with reduced rates = (12*5)+(24*2)
Hours with reduced rates Q /Total number of hours in a week = (12*5)+(24*2)/(24*7) = 108/(24*7) = 9/14
Answer: C
Question: If x and y are integers such that x^2= y and xy = 27, then x – y = ?
A.-30
B.-20
C.-6
D.5
Answer: C.-6
Explanation: here x and y are integers .
x^2=y xy =27.
substitute x^2=y in xy => x^3=27.
here X3 is positive ,
x is also positive.
x=3 then y=9.
x-y=-6
so option C is correct
Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
A.85 Kmph
B.68 Kmph
C.103 Kmph
D.60 Kmph
Answer: B.68 Kmph
Explanation: Answer: Option B
Length of the two trains = 600m + 400m
Speed of the first train = X
Speed of the second train= 48 Kmph
1000/X - 48 = 180
1000/x - 48 * 5/18 = 180
50 = 9X - 120
X = 68 Kmph
Question: A 300m race is held between two players running 3m/s and 5m/s in swimming pool of 50m long. how many times the two player meet in opposite direction till the faster one completes the race.
A.3
B.4
C.5
D.6
Answer: B.4
Explanation: Every 10sec of time 1st will cover 30m
2nd will cover 50m,To complete total race by faster one i,e 2nd will take 50sec,
In that duration there are 4 crossings had been taken place,that's ans is 4
ANSWER:B
Question: A toy store sells small, medium, large, and super-large toy trucks in each of the colors red, blue, black, green, and yellow. The store has an equal number of trucks of each possible color-size combination. If Paul wants a medium, red truck and his mother will randomly select one the trucks in the store, what is the probability that the truck she selects will have at least one of the two features Paul wants?
A.2/5
B.7/15
C.13/25
D.17/25
Answer: A.2/5
Explanation: Probability of NOT selecting medium out of 4 sizes = 3/4
Probability of NOT selecting red out of 5 colours = 4/5
Total probability of NOT selecting red and medium = (3/4)*(4/5) = 3/5
Required probability = 1 - 3/5 (this will select at least one of red and medium)
= 2/5
The answer is A.
Question: Sue's trail mix is 30% nuts and 70% dried fruit. Jane's trail mix is 60% nuts and 40% chocolate chips. If the combined mixture of Sue and Jane's trails mix contains 55% nuts, what percent of the combined mixture is dried fruit?
A.8.5%
B.11.7%
C.14.2%
D.17.6%
Answer: B.11.7%
Explanation: 55% is 25%-points above 30% and 5%-points below 60%.
So the ratio of Sue's mix to Jane's mix is 1:5.
1/6*70% = 11.7%
The answer is B.
Question: A person is traveling at 100 km/hr and reached his destiny in 5 then find the distance?
A.250km
B.300km
C.500km
D.450km
Answer: C.500km
Explanation: T = 5hr
S = 100km/hr
D= T*S = 100*5 = 500KM
Answer is C
Question: A set S = {x, -8, -5, -3, 3, 6, 9, y} with elements arranged in increasing order. If the median and the mean of the set are the same, what is the value of |x|-|y|?
A.2
B.0
C.-1
D.Cannot be determined
Answer: A.2
Explanation: Median of the set = (-3+3)/2 = 0
As per statement, Mean of the set = 0
Mean of the set
|y|- |x| +18-16 = 0 (where x is negative n y is positive)
|y|- |x| = -2
So the absolute difference between two numbers is 2
Answer A
Question: A rectangular football field is fenced on all four sides. The length of the football field is twice the length of its breadth. The cost of fencing the field was $360. The football management has decided to change the dimensions of field by decreasing the breadth by 50% of its original value and increasing the length by 25% of its original value and fence the field again.. What will be the cost of the new fencing?
A.$360
B.$180
C.$425
D.$405
Answer: A.$360
Explanation: Let's take x to be the breadth. Then the length of the football field is 2x.
The perimeter of the old football field is x + 2x + x + 2x = 6x.
Now, for the new football field:
The new breadth = 0.5 times old breadth = 0.5x
The new length is 1.25 times old length = (1.25)2x = 2.5x
So the new perimeter is 0.5x + 2.5x + 0.5x + 2.5x = 6x.
The new perimeter is the same as the older perimeter! So presumably the cost is the same at $360.
Ans - A
Question: If the price of 23 toys is 230, then what will the price of 18 toys ?
A.144
B.361
C.180
D.287
Answer: C.180
Explanation: One toy price = 230/23 = 10
18 toy price = 18 * 10 = 180
Answer : C
Question: Given a spinner with four sections of equal size labeled Q, B, C, and D, what is the probability of NOT getting an Q after spinning the spinner two times?
A.15/16
B.9/16
C.1/2
D.1/4
Answer: B.9/16
Explanation: The probability of NOT getting an Q after spinning the spinner two times is 3/4*3/4=9/16 (so getting any of the remaining 3 letters out of 4).
Answer: B.
Question: What is the product of all the prime factors of 13?
A.12
B.11
C.13
D.15
Answer: C.13
Explanation: factors :1 , 13
1*13 = 13
Answer : C
Question: If 0 < g< 1 < h, which of the following must be true?
A.1 < 1/g< 1/h
B.1/g< 1 < 1/h
C.1/g< 1/h< 1
D.1/h< 1 < 1/g
Answer: D.1/h< 1 < 1/g
Explanation: 0<x<1<y. Let g=1/2 and h=2
Substituting values:
A. 1<2<1/2 ---Wrong
B. 2<1< 1/2 ---Wrong
C. 2<1/2<1 ---Wrong
D. 1/2<1<2 ---Correct
E. 1/2<2<1 ---Wrong
Hence answer is D
Question: In how many different ways can the letters of the word "CLAIM" be rearrangement?
A.110
B.120
C.125
D.130
Answer: B.120
Explanation: The total number of arrangements is
5P5 = 5! = 120
B
Question: Convert the 1/3 m/s into kilometers per hour?
A.2.9 kmph
B.9.9 kmph
C.1.3 kmph
D.1.2 kmph
Answer: D.1.2 kmph
Explanation: 1/3 m/s = 1/3 * 18/5 = 12/10
= 1.2 kmph.
Answer: D
Question: On his drive to work, Leo listens to one of three radio stations A, B or Q. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns it to B. If B is playing a song he likes, he listens to it; if not, he turns it to Q. If Q is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.30 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes?
A.0.027
B.0.09
C.0.417
D.0.657
Answer: D.0.657
Explanation: Probability he hears a song is like:
Tune to A and likes what he is hearing = 0.3
Tune to A, don't find he like what they are airing, then tune to B and likes what he finds there = 0.7 * 0.3 = 0.21
Tune to A, finds crap there, Tune to B, hears a similar crap, Tune to Q and finally falls in love with the program = 0.7^2 * 0.3 = 0.147
Total = 0.657
Ans D
Question: How many positive integers less than 250 are there such that they are multiples of 15 or multiples of 14?
A.30
B.31
C.32
D.33
Answer: C.32
Explanation: 250/15 = 16 (plus remainder) so there are 16 multiples of 15
250/14 = 17 (plus remainder) so there are 17 multiples of 14
We need to subtract 1 because 15*14 is a multiple of both so it was counted twice.
The total is 16+17-1 = 32
The answer is C.
Question: The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person?
A.10
B.20
C.30
D.40
Answer: C.30
Explanation: Present age of elder = x
younger= x-16
(x-6)(x-16-6)
x-6-3x-66
2x=60
x=30
ANSWER C
Question: (x^n-a^n) is completely divisible by (x-a), when?
A.n is any natural number
B.n is an even natural number
C.n is an odd natural number
D.n is prime
Answer: A.n is any natural number
Explanation: For every natural number n,(x^n-a^n) is always divisible by (x-a).
Correct Option: A
Question: When a certain shoe store reduces the price of its best-selling style of shoe by 20 percent, the weekly sales of this style increase by 10 percent. Which of the following best describes the resulting change in the store's weekly revenue from sales of this style of shoe?
A.Revenue decreases by 10%
B.Revenue decreases by 12%
C.There is no change in revenue
D.Revenue increases by 12%
Answer: B.Revenue decreases by 12%
Explanation: Old price = 10, old sales = 10 --> old revenue = 100;
New price = 8, new sales = 11 --> new revenue = 88.
Revenue decreased by 12%.
Answer: B.
Question: Three rugs have a combined area of 196 square meters. By overlapping the rugs to cover floor area of 140 square meters, the area that is covered by exactly two layers of rug is 24 square meters. What is the area that is covered with three layers of rug ?
A.15 square meters
B.20 square meters
C.24 square meters
D.28 square meters
Answer: A.15 square meters
Explanation: Total = Rug1 + Rug2 + Rug3 - {overlap of exactly 2 rugs} - 2*{overlap of exactly 3 rugs}
140 = 194 - 24 - 2*{overlap of exactly 2 rugs} --> {overlap of exactly 3 rugs} = 15.
Answer: A.
Question: saran purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit?
A.12.45
B.10.5
C.16.3
D.45.12
Answer: C.16.3
Explanation: C
C.P. of 50 kg wheat = (30 * 11.50 + 20 * 14.25) = Rs. 630.
S.P. of 50 kg wheat = 130% of Rs. 630 = 130/100 * 630 = Rs. 819.
S.P. per kg = 819/50 = Rs. 16.38 = 16.30.
Question: What is the next number of the following sequence
2,3,6,18,108,?
A.1922
B.1944
C.1934
D.1936
Answer: B.1944
Explanation: 2*3=6
3*6=18
6*18=108
18*108=1944
therefore next no. is 1944
ANSWER:B
Question: when n divided by 3, the remainder is 2.
when n divided by 4, the remainder is 1
what is the the remainder when divided by 13
A.1
B.3
C.4
D.5
Answer: C.4
Explanation: case1
N=5,8,11,14,17,20
case 2
M=5,9,13,17,21
Therefore n=17
Remainder of 17/13 will be 4
C
Question: The probability that a number selected at random from the first 50 natural numbers is a composite number is
A.17/22
B.17/25
C.17/21
D.17/29
Answer: B.17/25
Explanation: Explanation:
The number of exhaustive events = âµâ°Câ‚ = 50.
We have 15 primes from 1 to 50.
Number of favourable cases are 34.
Required probability = 34/50 = 17/25.
Answer: B
Question: In what time will $ 1000 become $ 1331 at 10% per annum compounded annually?
A.3 Years
B.4 Years
C.5 Years
D.2 Years
Answer: A.3 Years
Explanation: Principal = $ 1000; Amount = $ 1331; Rate = 10% p.a. Let the time be n years. Then,
[ 1000 (1+ (10/100))^n ] = 1331 or (11/10)^n = (1331/1000) = (11/10)3
n = 3 years.
Answer A.
Question: When 4 dice are thrown, what is the probability that the same number appears on each of them?
A.1/36
B.1/18
C.1/216
D.1/5
Answer: C.1/216
Explanation: Sample space (Denominator): When 4 dice are thrown simultaneously, then the total number of possible outcomes is 64 = 1296.
Event (Numerator): The chances that all the dice show same number (1,1,1,1),
(2,2,2,2), (3,3,3,3), (4,4,4,4), (5,5,5,5), (6,6,6,6)} is 6.
Probability = Event/ Sample space = 6/64 = 1/63 = 1/216.
ANSWER:C
Question: A speed of 14 metres per second is the same as :
A.50.4 km/hr
B.55 km/hr
C.60 km/hr
D.68.5 km/hr
Answer: A.50.4 km/hr
Explanation: Sol.
14 m/sec = [14 * 18/5] km/hr = 50.4 km/hr.
Answer A
Question: If in a certain sequence of consecutive multiples of 50, the median is 725, and the greatest term is 1100, how many terms that are smaller than 725 are there in the sequence?
A.7
B.6
C.8
D.12
Answer: C.8
Explanation: Since the median is 725 we know there must be a even number of integers because 50 is not a multiple of 725.
So the list around 725 must go. 700 (725) 750 800 850 900 950 1000 1050 1100
Since we know there are 8 numbers greater than 725 then there must be 8 numbers less then 725.
answer:C
Question: If the city centers of New York and Paris are 3,627 miles apart, which of the following is closest to the distance between the city centers in inches? (There are 5,280 feet in a mile.)
A.6.5 × 10^6
B.1.8 × 10^7
C.2.3 × 10^8
D.4.5 × 10^9
Answer: C.2.3 × 10^8
Explanation: 3627 miles = 3627 x 5280 feet/mile x 12 inches/foot which is about 2.3 x 10^8 inches.
The answer is C.
Question: Two pipes A and B can fill a tank in 4 and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank is?
A.3 hrs
B.5 hrs
C.2 hrs 15 min
D.4hrs 24 min
Answer: D.4hrs 24 min
Explanation: 1/4 + 1/5 = 9/20
20/9 = 2 2/9
9/20 * 2 = 9/10 ---- 4 hours
WR = 1 - 9/10 = 1/10
1 h ---- 1/4
? ----- 1/10
2/5 * 60 = 24 = 4 hrs 24 min
Answer: D
Question: In a class everyone will play at least one sport viz table tennis, cricket and badminton. 73
students play table tennis, 79 play badminton, 75 play cricket and 25 students play both table
tennis and badminton, 24 play both table tennis and cricket 30 play. Badminton and cricket and
15 students play all the sports. How many students play only cricket ?
A.36
B.38
C.39
D.47
Answer: C.39
Explanation: PERSONS PLAY CRICKET ONLY=N(C)-N(B∩C)+N(C∩T)-2(N(B∩T∩C))
=75-30+24-(2*15)
=39
ANSWER:C
Question: A trader has 50 kg of rice, apart of which he sells at 10 per cent profit and the rest at 5 per cent loss. He gains 7 per cent on the whole. What is the quantity sold at 10 per cent gain and 5 per cent loss?
A.30kg, 10kg
B.40kg, 15kg
C.35kg, 40kg
D.40kg, 10kg
Answer: D.40kg, 10kg
Explanation: Ratio of quantities sold at 10%profit and 5%loss
=>12:3 = 4:1
Therefore,the quantity sold at 10%profit
=50/(4 +1) x 4
=40 kg
and the quantity sold at 5%loss
=50 - 40
=10 kg
ANSWER:D
Question: For 6-digit integer 46x,y12, when x and y are drawn at random from {3,5,8}, what is the probability R that the integer drawn is divisible by 8?
* A solution will be posted in two days.
A.1/6
B.1/3
C.1/2
D.2/3
Answer: D.2/3
Explanation: In general, the remainder divided by integer n is the same as the remainder that up to tens of n is divided by 8.
Thus, in order for 46,x,y12 to be divided by 8, y12 should be divided by 8.
Amongst 3,5,8, 3 and 5 can be divided by 8.
Therefore,R two out of three can be divided and the answer is D.
Question: A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent?
A.1% gain
B.6% gain
C.8% gain
D.5% gain
Answer: A.1% gain
Explanation: Explanation:
Answer:A
Question: Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.6 km?
A.187 m
B.787 m
C.877 m
D.600 m
Answer: D.600 m
Explanation: Distance covered by Amar = 18/4.8 (1.6km)
= 3/8(1600)
= 600 m
Answer:D
Question: If the number 72592*6 is completely divisible by 8, then the smallest whole number in place of * will be?
A.1
B.2
C.4
D.5
Answer: A.1
Explanation: The number 2x6 must be divisible by 8.
x=1 as 216 is divisible by 8.
Correct Option : A
Question: 3+2=12
4+1=16
5+9=65
6+8=78
7+3=??
Solve it?
A.12
B.16
C.68
D.42
Answer: C.68
Explanation: x+y=x[y+(x-1)]=x^2+xy-x
3+2=3[2+(3-1)]=9+6-3=12
4+1=4[1+(4-1)]=16+4-4=16
5+9=5[9+(5-1)]=25+45-5=65
6+8=6[8+(6-1)]=36+48-6=78
7+3=7[3+(7-1)]=49+21-7=63
Answer :C
Question: Sound is said to travel in air at about 1100 feet per second. A man hears the axe striking the tree, 11/5 seconds after he sees it strike the tree. How far is the man from the wood chopper?
A.2420 ft
B.2524 ft
C.2600 ft
D.2740 ft
Answer: A.2420 ft
Explanation: Sol.
Distance = [1100 * 11/5] feet = 2420 feet.
Answer A
Question: A sum of money at simple interest amounts to Rs. 1072 in 2 years and to Rs. 1144 in 4 years. The sum is:
A.Rs. 1000
B.Rs. 850
C.Rs. 500
D.Rs. 1200
Answer: A.Rs. 1000
Explanation: S.I. for 2 years = Rs. (1144 - 1072) = Rs. 72.
S.I. for 1 year = Rs. 72/2 = Rs. 36.
Principal = Rs. (1072 - 72) = Rs. 1000.
Answer: Option A
Question: The area of a square field is 400 km2. How long will it take for a horse to run around at the speed of 20 km/h ?
A.12 h
B.10 h
C.4 h
D.6 h
Answer: C.4 h
Explanation: Explanation Area of field = 400 km2. Then, each side of field = √400=20km Distance covered by the horse = Perimeter of square field = 20 × 4 = 80 km ∴ Time taken by horse = distances/peed=80/20=4h Answer C
Question: Look at this series: 2, 4, 8, 16, ... What number should come next?
A.128
B.64
C.32
D.24
Answer: C.32
Explanation: Explanation: This is a simple multiplication series; each number is multiple by 2 to the previous number. In other terms to say, the number is multiplied by 2 successively to get the next result.
1*2 = 2
2*2 = 4
4*2 = 8
8*2 = 16
16*2 = 32 and so on.
Answer: Option C
Question: A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 20 seconds. What is the length of the platform in meters?
A.200 meters
B.360 meters
C.420 meters
D.600 meters
Answer: A.200 meters
Explanation: Speed of the train in metres/sec = 72000/3600 = 20
Distance travelled by train to cross the platform = 30 * 20 = 600 = Length of train + Length of platform
Distance travelled by train to cross the man = 20 * 20 = 400 = Length of train
Length of platform = 600 - 400 = 200
Answer: A
Question: In an election between two candidates, one got 45% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 2000, the number of valid votes that the other candidate got, was:
A.2200
B.3600
C.3270
D.3700
Answer: A.2200
Explanation: Number of valid votes = 80% of 4000 = 3200.
Valid votes polled by other candidate = 55% of 4000
=(55/100)X8000 =2200
ANSWER = A
Question: What will be the difference between simple and compound interest at 10% per annum on a sum of Rs. 1000 after 4 years?
A.Rs. 64.12
B.Rs. 64.19
C.Rs. 14.19
D.Rs. 64.10
Answer: D.Rs. 64.10
Explanation: Explanation:
S.I. = (1000 * 10 * 4)/100 = Rs. 400
C.I. = [1000 * (1 + 10/100)4 - 1000] = Rs. 464.10 Difference = (464.10 - 400) = Rs. 64.10
Answer: D