RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?
A.Rs.525
B.Rs.500
C.Rs.550
D.Rs.555
Answer: B.Rs.500
Explanation: Explanation:
70 = (P*4*7/2)/100
P = 500
Answer IS B
Question: How many even number in the range between 25 to 100 inclusive are not divisible by 3
A.27
B.30
C.31
D.33
Answer: A.27
Explanation: We have to find the number of terms that are divisible by 2 but not by 6( as the question asks for the even numbers only which are not divisible by 3)
For 2,
26,28,30...100
using AP formula, we can say 100 = 10 + (n-1) *2
or n=38.
For 6,
36, 42,...96
using AP formula, we can say 96 = 12 + (n-1) *6
or n=11.
Hence, only divisible by 2 but not 3 = 38-11= 27. hence, Answer A
Question: A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
A.3
B.6
C.7
D.8
Answer: B.6
Explanation: Speed of train relative to man = (60 + 6) km/hr = 66 km/hr
[66 * 5/18] m/sec = [55/3] m/sec.
Time taken to pass the man = [110 * 3/55] sec = 6 sec
Answer:B
Question: Express 25 mps in kmph?
A.16
B.76
C.90
D.87
Answer: C.90
Explanation: 25 * 18/5
= 90 kmph
Answer: C
Question: A woman begins bicycling with a pace of 10 kmph and she increases her pace every two hours by 2 kmph. She rests from bicycling 2 hours after her pace reaches her maximum speed of 14 kmph. She does a cool-down for the final 8 km at a pace of 2 kmph. How far in km did she bicycle?
A.96 km
B.100 km
C.106 km
D.116 km
Answer: B.100 km
Explanation: Distance covered in first two hours = 10 Ã— 2 = 20 km
Distance covered in next two hours = 12 Ã— 2 = 24 km
Distance covered in next two hours = 14 Ã— 2 = 48 km
Distance covered in first six hours
20 + 24 + 48 = 92 km
Remaining distance = 8 km
92 + 8 = 100 km
Answer B
Question: In a series of five football matches between Germany and Argentina , the probability of Germany winning a match is 1/3 and the probability that the match ends in a draw is 1/4. If a win gets the team 2 points, a draw 1 point and a loss 0 Points, What is the probability that Germany will end up in 5 draws in the series?
A.24/576
B.125/864
C.1/25
D.1/1024
Answer: D.1/1024
Explanation: Since the probability of a draw is 1/4, then the probability of 5 draws in 5 matches is (1/4)^5=1/1024.
Answer: D.
Question: Number of ways in which the letters of word GALE can be arranged with vowels in alphabetical order, is
A.360
B.240
C.12
D.480
Answer: C.12
Explanation: Solution
Order of vowels of fixed
âˆ´ required number of ways are 4!/2!.
Answer C
Question: Anand and Deepak started a business investing Rs. 2250 and Rs. 3200 respectively. Out of a total profit of Rs. 1380, Deepak's share is:
A.3776
B.810.27
C.815.21
D.688.12
Answer: B.810.27
Explanation: Ratio of their shares = 2250 : 3200 = 45:64
Deepak's share = 13800 * 64/109= Rs. 810.27.
Answer: B
Question: Evaluate: |4 - 8(3 - 12)| - |5 - 11| =
A.40
B.50
C.60
D.70
Answer: D.70
Explanation: According to order of operations, inner brackets first. Hence
|4 - 8(3 - 12)| - |5 - 11| = |4 - 8*(-9)| - |5 - 11|
According to order of operations, multiplication within absolute value signs (which may be considered as brackets when it comes to order of operations) next. Hence
= |4 + 72| - |5 - 11|
= |76| - |-6|
= 76 - 6 = 70
correct answer is D) 70
Question: Jack and Jill work at a hospital with 6 other workers. For an internal review, 2 of the 8 workers will be randomly chosen to be interviewed. What is the probability that Jack and Jill will both be chosen?
A. 1/3
B. 1/4
C. 1/15
D. 1/28
Answer: D. 1/28
Explanation: 1/8C2=1/28.
Answer: D.
Question: If six persons sit in a row, then the probability that three particular persons are always together is?
A.1/6
B.1/1
C.1/5
D.1/9
Answer: C.1/5
Explanation: Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes
= 3!4! Required probability
= 3!4!/6!
= 1/5
Answer: C
Question: Richard has to paint a mural with seven horizontal stripes. He only has enough paint for four brown stripes, four red stripes, four blue stripes, four white stripes, four black stripes, and four yellow stripes. If his patron wants at most two different colors in the mural, how many different ways can he paint the wall?
A.120
B.350
C.1050
D.2,520
Answer: C.1050
Explanation: Number of ways to choose 2 colors among 6 - 6c2
Number of ways that the chosen colors can be painted for 7 horizontal stripes - 2 (either (4,3) or (3,4))
Now the order,
the number of ways in which a particular color among the 2 chosen colors can be painted for 4 stripes is - 7c4
[Note: We don't need to calculate the ways for the remaining 3 stripes as they are obvious and already counted under this]
Total number of combinations - 6c2 * 2* 7c4 = 1050
C
Question: Fom the integer n, if n*n*n is odd, then what is true from below options?
A.n is odd and n*n is even
B.n is odd
C.n is even
D.n*n is odd
Answer: A.n is odd and n*n is even
Explanation: n is odd and n*n is even
Option A
Question: Roger can read a book in k minutes. What part of the book can he read in 4 minutes? (k>8)
A.8+k
B.8/k
C.k/8
D.(k+ 8)/k
Answer: A.8+k
Explanation: Let's sayk = 24
That is, it takes 24 minutes to read the entire book.
So, in 8 minutes, Roger can read1/3of the book
So, we're looking for the answer choice that yields an OUTPUT of1/3whenk = 24
A) 8+24=32ELIMINATE
B) 8/24=1/3KEEP
C)24/8 =3ELIMINATE
D) (24+ 8)/24=32/24 = 4/3ELIMINATE
E) (24-8) /24=16/24 = 2/3ELIMINATE
Answer: A
Question: A person goes to a bank and Quotes x Rs and y paise on a cheque. The cashier misreads it and gives y Rs and x paise. The man comes out and donates 5 paise to a begger. Now, the man has exactly double the amount he has quoted on the cheque. .
A.31 rs 63 paise
B.30 rs 63 paise
C.31 rs 33 paise
D.31 rs 3 paise
Answer: A.31 rs 63 paise
Explanation: he gets 100y+x paise instead of 100x+y paise
(100y+x) - (100x+y) - 5 = (100x+y)
99y -99x - 5 = 100x + y
98y = 199x + 5
y = 2x + (3x+5)/98
only an integer value of x = 31
will make y an integer
with the constraints that both x & y < 100
substituing, y = 2*31 + 1 = 63
ans: 31 rs 63 paise
ANSWER:A
Question: Two dice are tossed. The probability that the total score is a prime number is?
A.1/2
B.5/12
C.7/9
D.1/6
Answer: B.5/12
Explanation: Clearly, n(S) = (6 x 6) = 36.
Let E = Event that the sum is a prime number.
Then E= { (1, 1), (1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (4, 1), (4, 3),
(5, 2), (5, 6), (6, 1), (6, 5) }
n(E) = 15.
P(E) =n(E)/n(S)=15/36=5/12
hence:B
Question: An art gallery owner is hanging paintings for a new show. Of the nine paintings she has to choose from, she can only hang three on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings?
A.18
B.30
C.64
D.60480
Answer: D.60480
Explanation: Arrangement means permutations questions..
9P3 = 9!/3! = 60480
.
ANS option D is correct answer..
Question: 1=5,2=25,3=253,4=254,5=?
A.1
B.255
C.345
D.445
Answer: A.1
Explanation: 1=5,2=25,3=253,4=254,5=?
5=1
check the first eqn.
ANSWER:A
Question: A bag is filled with pennies and nickels in the ratio of 4 to 2. There are 30 nickles in the bag, how many coins are there in that bag?
A.90
B.50
C.65
D.70
Answer: A.90
Explanation: A ratio of pennies to nickels of 4 to 2 means that we can write the number of pennies and nickels in the form
number of pennies = 4x and number of nickels = 2x
But we know the number of nickels, 30. Hence
2x = 30
Solve for x
x = 15
The total number of coins is given by
4x + 2x = 6x = 6 × 15 = 90
Answer : A
Question: If 70% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
A.5:7
B.18:23
C.17:19
D.20:21
Answer: D.20:21
Explanation: Let 70% of A = 2/3 B. Then,
70A/100 = 2B/3 => 7A/10 = 2B/3
A/B = (2/3 * 10/7) = 20/21
A:B = 20:21.
Answer: D
Question: C invested $600 in a business and D invested $400 in a business. At the end of the year they got $2000 as the profit. Find their share?
A.$800,$1200
B.$900,$1000
C.$700,$1100
D.$1200,$800
Answer: D.$1200,$800
Explanation: C:D = 600:400
C:D = 3:2
C's share = 2000*3/5 = $1200
D's share = 2000*2/5 = $800
Answer is D
Question: With both valves open, the pool will be filled with water in 48 minutes. The first valve alone would fill the pool in 2 hours. If the second valve emits 50 cubic meters of water more than the first every minute, then what is the capacity T of the pool?
A.9000 cubic meters
B.10500 cubic meters
C.11750 cubic meters
D.12000 cubic meters
Answer: D.12000 cubic meters
Explanation: D. 12000 cubic meters.
If both hte valves fill the pool in 48 minutes and valve 1 only fills in 120 minutes then valve 2 alone will fill the pool in (48*120)/(120-48) = 80 minutes.
Now, if valve 1 admits x cubic meter of water per minute then the capacity of pool will be 120x and also 80 (x+50).
or, 120x = 80 (x + 50).
or x = 100.
Hence, the capacity of pool = 120x = 12000 cubic meters.
Question: Can you find a six digit number under 5 lakh such that the sum of it's digits is 43 ?
A.588338
B.499449
C.399826
D.788392
Answer: B.499449
Explanation: B
The required number is 499449.
The maximum sum of a number under 5 lakh will be of the number 499999 i.e. 49.
Thus the required number must be close to 499999.
The root of 499999 ~ 707.106
By calculating the square of 707, we get 499849 which is the answer.
Question: In a certain deck of cards, each card has a positive integer written on it. In a multiplication game, a child draws a card and multiples the integer on the card by the next larger integer. If each possible product is between 26 and 200, then the least and greatest integers on the card could be
A.3 and 15
B.3 and 20
C.5 and 13
D.4 and 14
Answer: C.5 and 13
Explanation: There child draws one number then multiplies that number by the number above it. The number must be more than 15 and less than 200.
x * (x+1)
Answer gives us choices of 3,4 and 5 (JUST ABOVE 26)
3*(3+1) =12 <- WRONG
4*(4+1) =20 <- WRONG
5*(5+1) =30 <- CORRECT AS IT IS ABOVE 26
Answer gives us choices 13,14,15 and 20 (BELOW 200)
Immediately by knowing squares you should be able to rule out 15 (225) and 20 (400). And common sense dictates that as 14^2 is 196 that 14*(14+1) is above 200.
13*(13+1)=182 <- CORRECT
Answer is C) 5 and 13
Question: A and B undertake to do a piece of work for Rs. 1200. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of C.
A.150
B.450
C.750
D.800
Answer: A.150
Explanation: C's 1 day's work = 1/3-(1/6+1/8)=24
A : B : C = Ratio of their 1 day's work = 1/6:1/8:1/24= 4 : 3 : 1.
A’s share = Rs. (1200 *4/8) = Rs.600, B's share = Rs. (1200 *3/8) = Rs. 450
C's share = Rs. [1200 - (300 + 225») = Rs. 150.
Answer is A
Question: What is the present worth of Rs. 121 due in 2 years at 5% simple interest per annum
A.110
B.120
C.130
D.140
Answer: A.110
Explanation: Explanation:
Let the present worth be Rs.x
Then,S.I.= Rs.(121 - x)
= (x*5*2/100) = 121 - x
= 10x = 12100 - 100x
= 110x = 12100
x= 110
Answer:A
Question: If |x-12| = 100, what is the sum of all the possible values of x?
A.-12
B.-22
C.24
D.36
Answer: C.24
Explanation: There will be two cases
x-12 = 100 or x-12 = -100
=> x = 112 or x= -88
sum of both the values will be -88 + 112 = 24
Answer is C
Question: A can be divided by 11 with no remainder. Which of the following expressions could be divided by 11 leaving a remainder of 1?
A.A-20.
B.A-12.
C.A-9.
D.A-10.
Answer: D.A-10.
Explanation: We could use the following logic:
since A is a multiple of 11, we could very well say A = 11K (where K is 1,2...n).
The condition here should now be
11K + 1 = <operation> such that it gives us an integer
11k +1 = A -20 => A = 11K + 21 Not divisible by 11
11K +1 = A -12 => A = 11K + 31 Not Divisible by 11
11K +1 = A -9 => A = 11K + 10 Not Divisible by 11
11K +1 = A -10 => A = 11K + 11Divisible by 11
11K +1 = A -13 => A = 11K + 14 Not Divisible by 11
Answer therefore is A -10 (D)
Question: Find out the number of ways in which 6 rings of different types can be worn in 3 fingers?
A.120
B.720
C.125
D.729
Answer: D.729
Explanation: Explanation :
The first ring can be worn in any of the 3 fingers
=> There are 3 ways of wearing the first ring
Similarly each of the remaining 5 rings also can be worn in 3 ways
Hence total number of ways
=3×3×3×3×3×6=36=729. Answer : Option D
Question: The winning relay team in a high school sports competition clocked 48 minutes for a distance of 13.2 km. Its runners A, B, C and D maintained speeds of 17 kmph, 18 kmph, 19 kmph, and 20 kmph respectively. What is the ratio of the time taken by B to than taken by D?
A.5:16
B.5:17
C.9:8
D.10:9
Answer: D.10:9
Explanation: Explanation :
Since it is a relay race, all the runners ran the same distance.
Hence for a same distance, (ratio of times) = 1/(ratio of speeds).
Hence ratio of times taken by B t& D =20 : 18 = 10 : 9.
Answer : D
Question: A train of length 560 metres takes 90 seconds to cross a tunnel of length 340 metres. What is the speed of the train in km/hr?
A.36 km/hr.
B.46 km/hr.
C.30 km/hr.
D.48 km/hr.
Answer: A.36 km/hr.
Explanation: Sol.
Speed = [560+340 / 90] m/sec = [900 / 90 * 18/5] km/hr = 36km/hr.
Answer A
Question: In the coordinate plane, points (x, 5) and (9, y) are on line k. If line k passes through the origin and has slope 5/9, then x - y =
A.4
B.6
C.5
D.8
Answer: A.4
Explanation: Line k passes through the origin and has slope 1/4 means that its equation is y=5/9*x.
Thus: (x, 5)=(9, 5) and (9, y) = (9,5) --> x-y=9-5=4.
Answer: A
Question: A bus can hold 120 passengers. If there are 12 rows of seats on the bus, how many seats are in each row?
A.10
B.12
C.45
D.8
Answer: A.10
Explanation: No. of seats = 120/12 = 10
There are 10 seats in each row
Answer : A
Question: A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
A.2400
B.2408
C.2406
D.2403
Answer: A.2400
Explanation: 1200 * 12: x * 9 = 2:3
x = 2400
Answer: A
Question: A typist can type 120 words in 100 seconds. At that rate, how many seconds would it take her to type 258 words?
A.205
B.210
C.215
D.220
Answer: C.215
Explanation: 120/100=258/n
120* n=258*100
120n	=25800
n=215
Answer:C
Question: If A lends Rs.3150 to B at 8% per annum and B lends the same sum to C at 12.5% per annum then the gain of B in a period of 2 years is?
A.280
B.295
C.283.5
D.245
Answer: C.283.5
Explanation: (3150*4.5*2)/100
=> 283.5
Answer: C
Question: In how many ways can the digit of the number 2233558888 be arranged so that the odd digits are placed in the even positions?
A.380
B.400
C.430
D.450
Answer: D.450
Explanation: odd place combination = 5!/2!*2!=30
even place combination= 6!/2!*4!=15
to total=30*15=450
ANSWER:D
Question: On a certain road 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 20% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on the road exceed the posted speed limit?
A.10.5%
B.12.5%
C.15%
D.22%
Answer: B.12.5%
Explanation: Say there are 100 motorists.
{# of motorists who exceed speed & receive tickets} + {# of motorists who exceed speed & don't receive tickets} = {Total # of motorist who exceed speed};
Given: {# of motorists who exceed speed & receive tickets}=10;
Also, if {Total # of motorist who exceed speed}=x, then 0.2x={# of motorists who exceed speed & don't receive tickets};
10+0.2x=x --> x=12.5
Answer: B.
Question: At the opening of a trading day at a certain stock exchange, the price per share of stock M was $25. If the price per share of stock M was $28 at the closing of the day, what was the percent increase in the price per share of stock M for that day?
A.1.4%
B.5.9%
C.12%
D.12.5%
Answer: C.12%
Explanation: Opening = 25
Closing = 28
Rise in price = 3
So, percent increase = 3/25*100 = 12
Answer : C
Question: From the integer n, if n*n*n*n is even, then what is true from below options?
A.n is odd
B.n*n is even
C.n is odd and n*n is even
D.n is even
Answer: D.n is even
Explanation: n is even
Option D
Question: What is the sum of the greatest common factor and the lowest common multiple of 16 and 36?
A.124
B.152
C.148
D.123
Answer: C.148
Explanation: Prime factorization of 16 = 2 x 2 x 2 x 2
Prime factorization of 36 = 2 x 2 x 3 x 3
GCF=4
LCM=144
Sum=148
Option: C
Question: John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 4 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?
A. 4y
B. 5y
C. 6y
D. 8y
Answer: A. 4y
Explanation: Let $x be the advance that both receive = 4x
Amount earned per hour by John and Mary = x/10 and x/6
Mary gives $y to John to make the wages earned equal
Hence John wage per hr = (x+y)10 which is now equal to Mary's wage (x-y)/6
Solve (x+y)10 = (x-y)/6
6x + 6y = 10x -10y
4x = 16y
x = 4y
Ans. A
Question: Three numbers are in the ratio 5 : 4 : 3 and their average is 360. The largest number is :
A.30
B.450
C.27
D.21
Answer: B.450
Explanation: Explanation:
Let the numbers be 5x, 4x and 3x, Then, (5x + 4x + 3x ) / 3 =360
=> 12x = 360*3
=> x = 90
Largest number 5x = 5*90 = 450
Answer: B
Question: A radio station has to choose 6 days of the seven in a week to broadcast a certain program, and that set will repeat each week. The program can be broadcast equally on any of the seven weekdays —- weekdays vs. weekends don’t matter at all —- nor does it matter whether the days the program airs are adjacent or not. Absolutely any 6 of the seven weekdays can be chosen. How many different 6-day combinations of the seven weekdays can be constructed?
A.7
B.15
C.21
D.35
Answer: A.7
Explanation: Pick 6 days out of 7.. 7C6 = 7
Answer : A
Question: The positive numbers w, x, y, and z are such that x is 20 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?
A.15.2%
B.16.0%
C.20.0%
D.23.2%
Answer: A.15.2%
Explanation: y = 100 (start with yy, it makes getting x easier).
x = y*1.2 = 120
z = y/1.2 = 83.33
w = x*0.8 = 96
Then for the answer:
(w-z)/z = (96 - 83.33)/83.33
= 15.2%
ANSWER:A
Question: A seller sells his apple at CP but uses a weight of 800 gm instead of kg weight. What is his profit %?
A.20%
B.23%
C.25%
D.30%
Answer: C.25%
Explanation: If a trader professes to sell his goods at cost price, but uses false weights, then
Gain%=[Error(True Value−Error)×100]%So here profit percentage=[200(1000−200)×100]%=[200800×100]%=25%
C
Question: Today is Thursday. The day after 59 days will be?
A.Monday
B.Tuesday
C.Saturday
D.Sunday
Answer: D.Sunday
Explanation: Explanation:
59 days = 8 weeks 3 days = 3 odd days
Hence if today is Thursday, After 59 days, it will be = (Thursday + 3 odd days)
= Sunday
Answer: Option D
Question: M and B are integers. The expression (M+1)(B+1) is even. What can be said about M and B?
A.They are both even numbers.
B.At least one of them is even.
C.At least one of them is odd.
D.They are both odd.
Answer: C.At least one of them is odd.
Explanation: Odd x Odd = Odd
Odd x Even = Even
Even x Even = Even
To fulfill condition Either (M+1) or (B+1) needs to be Even
So either M or B needs to be odd
Or At least one of them is odd.
At least one of them is odd=C
Question: A shirt goes on sale for 80% of its original price. One week later, the sale price is marked down 10%. The final price is what percent of the original price?
A.72%
B.70%
C.52%
D.50%
Answer: A.72%
Explanation: Just assume original price is 100.
Sale price = 80
Then it is marked down by 10% = 80-8=72.
Hence it is 72% of the original price. Hence answer is A
Question: Sakshi can do a piece of work in 12 days. Tanya is 20% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is?
A.10
B.12
C.14
D.16
Answer: A.10
Explanation: Ratio of times taken by Sakshi and Tanys = 120:100 = 6:5
Suppose Tanya takes x days to do the work.
6:5 :: 12:x => x= 10 days.
Hence, Tanya takes 10 days to complete the work.
Answer: A
Question: The LCM and HCF of two numbers are 100000 and 10000 respectively. Find the larger of the two numbers if their sum is 110000.
A.100000
B.46
C.577
D.577
Answer: A.100000
Explanation: There are 2 approaches in solving this.
Methode 1.
HCF * LCM = The Actual Number.
100000* 10000= 1000000000
So the answer which we are looking for has to be a factor of 1000000000.
So among the options shortlist the answers by eliminating those numbers which is not divisible by 1000000000. and then take the highest number as the answer as the question asks abt the highest number.
answer is A
Question: How many words can be formed by using all letters of the word ‘PENCIL’ ?
A.480
B.600
C.720
D.900
Answer: C.720
Explanation: The word contains 6 different letters.
The number of permutations is 6! = 720
The answer is C.
Question: if log 2 = 0.30103 and log 3 = 0.4771, find the number of digits in (648)5
A.14.05
B.14.02
C.277
D.288
Answer: A.14.05
Explanation: log(648)5
= 5 log(648)
= 5 log(81 × 8)
= 5[log(81) + log(8)]
=5 [log(34) + log(23)]
=5[4log(3) + 3log(2)]
= 5[4 × 0.4771 + 3 × 0.30103]
= 5(1.9084 + 0.90309)
= 5 × 2.81149
≈ 14.05
Answer: A
Question: In an university college, the ratio of the number of boys and girls is 5 : 9. If the percentage increase in the number of boys and girls be 20% and 40% respectively. What will be the new ratio ?
A.21 : 10
B.12 : 17
C.15 : 23
D.10 : 21
Answer: D.10 : 21
Explanation: Explanation :
Solution: Originally, let the number of boys and girls in the university college be 5x and 9x respectively.
Their increased number is (20% of 5x) : (40% of 9x)
=> (120*5x/100) : (140*9x/100) = 60x : 126x
=> x : y = 10 : 21.
Answer : D
Question: John was thrice as old as Tom 6 years ago. John will be 3/2 times as old as Tom in 6 years. How old is Tom today?
A.6
B.8
C.10
D.12
Answer: C.10
Explanation: J-6 = 3(T-6), so J = 3T-12
J+6 = 3/2 * (T+6)
2J + 12 = 3T + 18
2(3T-12) + 12 = 3T + 18
3T = 30
T = 10
The answer is C.
Question: A sum of money amounts to Rs 9800 after 5 years and Rs 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is
A.9%
B.10%
C.11%
D.12%
Answer: D.12%
Explanation: Explanation:
We can get SI of 3 years = 12005 - 9800 = 2205
SI for 5 years = (2205/3)*5 = 3675 [so that we can get principal amount after deducting SI]
Principal = 12005 - 3675 = 6125
So Rate = (100*3675)/(6125*5) = 12%
Option D
Question: The sum of the first 30 positive even integers is 930. What is the sum of the first 30 odd integers?
A.930
B.900
C.960
D.975
Answer: B.900
Explanation: Sum of first n even numbers = n(n+1) =930
Sum of first n odd numbers = n^2 = 30*30 = 900 (here n=30)
Answer : B
Question: If a(a + 7) = 60 and b(b + 7) = 60, where a ≠ b, then a + b =
A. −7
B. −2
C. 2
D. 46
Answer: A. −7
Explanation: i.e. if a = 5 then b = -12
or if a = -12 then b = 5
But in each case a+b = -12+5 = -7
Answer: option A
Question: There is a 50% chance Jen will visit Chile this year, while there is a 50% chance that she will visit Madagascar this year. What is the probability that Jen will visit either Chile or Madagascar this year, but NOT both?
A.25.0%
B.50.0%
C.62.5%
D.75.0%
Answer: B.50.0%
Explanation: P(Chile and not Madagascar) = 0.5*0.5 = 0.25
P(Madagascar and not Chile) = 0.5*0.5 = 0.25
Total probability = 0.25 + 0.25 = 0.5 = 50%
The answer is B.
Question: Find the remainder when the polynomial x4 - 3x2 + 7x - 10 is divided by (x - 2).
A.8
B.-20
C.18
D.0
Answer: A.8
Explanation: Explanatory Answer
By remainder theorem: If a polynomial in one variable 'x' is divided by (x - a), where 'a' is any real number, then the remainder is the value of the polynomial at x = a.
Therefore, remainder = (2)4 - 3(2)2 + 7(2) - 10 = 8
Answer A