RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Raghav borrows Rs.2550 to be paid back with compound interest at the rate of 4% per annum by the end of 2 years in two equal yearly instalments. How much will each instalment be ?
A.Rs.1275
B.Rs.1283
C.Rs.1352
D.Rs.1377
Answer: C.Rs.1352
Explanation: Let the value of each instalment be Rs.x.
x/(1+4/100) + x/(1+4/100)2 = 2550 = 25x/26 + 625x/676 = 2550
1275x = 2550 *676
x = (2550*676)/1275 = 1352.
ANSWER:C
Question: If the number 761 * 829 is completely divisible by 9, then the smallest whole number in place of * will b
A.4
B.5
C.3
D.8
Answer: C.3
Explanation: Sum of digits = (7 + 6 + 1 + x + 8 + 2 + 9) = (33 + x), which must be divisible by 9.
x = 3.
C)
Question: b.	Last Night lottery winning numbers followed this pattern: 25, 22, 20, 19, 16, 14, 13, 10, 8, 7, ? What is the last winning number?
A.6
B.3
C.4
D.5
Answer: C.4
Explanation: The sequence progresses -3, -2, -1 repeated; The last winning number is 4.
Ans C = 4
Question: Exactly 3/7 of the people in the room are under the age of 21, and exactly 5/12 of the people in the room are over the age of 65. If the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21?
A.21
B.35
C.36
D.60
Answer: C.36
Explanation: The total number of the people in the room must be a multiple of both 7 and 12 (in order 3/7 and 5/12 of the number to be an integer), thus the total number of the people must be a multiple of LCM of 7 and 12, which is 84.
Since, the total number of the people in the room is greater than 50 and less than 100, then there are 84 people in the room.
Therefore there are 3/7*84=36 people in the room under the age of 21.
Answer: C.
Question: The number '7' is the prime followed by a cube.
Is there any other number sharing the same quality?
A.No
B.Yes
C.May be
D.None of above
Answer: A.No
Explanation: A
No
7 is the only prime followed by a cube.
Assume that n3-1 is a prime for some n.
N3-1 will be equal to (n−1)(n2+n+1)
Now, n-1 divides n3-1.
If n-1>1, then we will have a contradiction to n3-1 being a prime.
Question: A man sells an article at 15% loss. Had he sold it for Rs. 350/- more he could have gained 20%. What is the cost price of the article?
A.Rs.420/-
B.Rs.400/-
C.Rs.460/-
D.Rs.1000/-
Answer: D.Rs.1000/-
Explanation: Explanation:
Short cut method:
Loss =====> 15 %
Profit ====> 20 %
~
----------------
35 % ---------> Rs. 350/-
100 % --------> Rs. 1000/-
Answer: Option D
Question: X does a work in 20 days. Y does the same work in 30 days. In how many days they together will do the same work?
A.10
B.12
C.20
D.30
Answer: B.12
Explanation: X's 1day's work= 1/20
Y's 1 day's work=1/30
(X+Y)'s 1day's work= (1/20+1/30)=1/12
both together will finish the work in 12 days.
correct option is B
Question: The average age of a class is 15.8 years. The average age of the boys in the class is 16.4 years and that of the girls is 15.4 years. What is the ratio of boys to girls in the class?
A.1 : 2
B.3 : 4
C.2 : 3
D.3:2
Answer: C.2 : 3
Explanation: Let number of boys = x ; Let number of girls = y
Total numbers of students = x + y
(x + y) × 15.8 = 16.4x + 15.4y
0.6x = 0.4y
x/y = 0.4/0.6 = 2/3
ANSWER:C
Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?
A.1 : 3
B.2 : 3
C.1 : 2
D.3 : 2
Answer: B.2 : 3
Explanation: Let the principal be P and rate of interest be R%.
Required ratio =
(P x R x 6)/100 DIVIDED BY	(P x R x 9)/100
=	6PR/9PR	=	6/9	= 2 : 3.
ANSWER : B
100
9PR 9
Question: A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit?
A.2205
B.2888
C.2669
D.2770
Answer: A.2205
Explanation: A = 2000(21/20)2 = 2205
Answer: A
Question: Taylor is making a bracelet. He Starts with 4 blue knots, 5 red knots, and 2 yellow knots, in that order, and repeats the pattern until there is no more string. If the last Knot is yellow which of the following could be the total number of knots on the bracelet.
A.87
B.90
C.95
D.97
Answer: A.87
Explanation: Repeating sequence = 4 + 5 + 2 = 11.
As the pattern ends in Y this could be the 10th thread or 11 thread (both are yellow)
Out of the answer choices, correct on should be a multiple of 11(since 11 threads are repeating) and if not, multiple of 11 + 10 (since 11 threads are repeating and last sequence end at first yellow)
none of the options is a direct multiple of 11 and only option that is multiple of 11; + 10 is 87 (11*7) + 10
Hence, answer is A
Question: Last year Jackie saved 5% of her annual salary. This year, she made 10% more money than last year, and she saved 8% of her salary. The amount saved this year was what percent of the amount she saved last year?
A.56%
B.76%
C.158%
D.176%
Answer: D.176%
Explanation: Assuming Annual salary of last year = 100
5 % Salary Saving (last year) would give = (5/100) * 100 = 5
she made 10% more money than last year = 110 (This year Salary)
8 % Salary saving this year = (8/100) * 110 = 88/10 = 8.8
(Amount saved this year/Amount saved last year) * 100= (8.8/5) * 100 = 8.8 * 20 = 176 %
ANSWER:D
Question: Using all the letters of the word "BUTTON", how many words can be formed, which begin with B and end with N?
A.9
B.24
C.7
D.5
Answer: B.24
Explanation: There are five letters in the given word.
Consider 6 blanks ....
The first blank and last blank must be filled with B and N all the remaining three blanks can be filled with the remaining 4 letters in 4! ways.
The number of words = 4! = 24.
Answer:B
Question: In a 200 meters race A beats B by 56 m or 7 seconds. A's time over the course is:
A.22 seconds
B.12 seconds
C.10 seconds
D.18 seconds
Answer: D.18 seconds
Explanation: B runs 56 m in 7 sec.
=> B runs 200 m in 7/56*200 = 25 seconds
Since A beats B by 7 seconds, A runs 200 m in (25-7) = 18 seconds
Hence, A's time over the course = 18 seconds
ANSWER:D
Question: A committee of 5 people is to be selected from 9 people. How many different committees are possible?
A.28
B.40
C.56
D.129
Answer: D.129
Explanation: Because the order does not matter in selecting 5 people for the committee, this is a combination question.
The number of ways to select 5 people from 9 = 9C5 = 9!/5!*4! = 129. Hence D.
Question: Okeydokey paid 5 apples at the Apple Investment Booth for an unopened box of earthworms. Artichokey paid 7 apples towards the same lot. The booth pays off earthworms proportional to the apples invested. The box turned out to contain 60 earthworms. How many of them should Okeydokey receive?
A.25
B.27
C.28
D.29
Answer: A.25
Explanation: I1 = 5
I2 = 7
I1 share 5 parts & I2 share 7 parts
Total 12 parts -----> 60
----> 1 part -------> 5
I1 share = 5 parts -----> 25
A
Question: In the faculty of Reverse-Engineering, 226 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 60% of the total?
A.858.
B.545.
C.618.
D.644.
Answer: A.858.
Explanation: Answer is A :858
Solution : Total number of students studying both are 423 + 226 - 134 = 515 (Subtracting the 134 since they were included in the both the other numbers already).
So 60% of total is 515, so 100% is approx. 858.
Question: 10 : 4 seconds :: ? : 6 minutes
A.10
B.15
C.20
D.25
Answer: B.15
Explanation: 10*6=4*x
x=15
ANSWER:B
Question: If x is an integer and y = 4x + 4, which of the following CANNOT be a divisor of y?
A.6
B.5
C.4
D.7
Answer: A.6
Explanation: For any value of x, the expression 4x + 4 would never be divisible by 3,6,9...... onwards
So answer = 6 = A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?
A.27
B.29
C.36
D.29
Answer: C.36
Explanation: Let the speed of each train be x m/sec.
Then, relative speed of the two trains = 2x m/sec.
So, 2x = (120 + 120)/12 => x = 10
Speed of each train = 10 m/sec.
= 10 * 18/5 =- 36 km/hr.
Answer:C
Question: In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together
A.233
B.3787
C.720
D.238
Answer: C.720
Explanation: Explanation:
The word 'OPTICAL' contains 7 different letters.
When the vowels OIA are always together, they can be supposed to form one letter.
Then, we have to arrange the letters PTCL (OIA).
Now, 5 letters can be arranged in 5! = 120 ways.
The vowels (OIA) can be arranged among themselves in 3! = 6 ways.
Required number of ways = (120 x 6) = 720.
Answer: C) 720
Question: If x = - |x| , then which one of the following statements could be true?
I. x = 0
II. x < 1
III. x > 0
A. None
B. I only
C. III only
D. I and II
Answer: B. I only
Explanation: Answer copied from NOVA guide
Statement I could be true because ± 0 = −(+0) = −(0) = 0 .
Statement II could be false because 1/2= −(+1/2)=−1/2
Now, if one side of an equation is always negative, then the other side must always be negative,
otherwise the opposite sides of the equation would not be equal.
Since Statement III is the opposite of Statement II, it must be false. But let’s show this explicitly:
Suppose x were positive. Then x = x, and the equation x = ± x becomes x = –x. Dividing both sides of this equation by x yields 1 = –1. This is contradiction.
Hence, x cannot be positive. The answer is (B).
Question: A and B together can complete a piece of work in 4 days. If A alone can complete the same work in 12 days, in how many days can B alone complete that work?
A.6 days
B.7 days
C.8 days
D.9 days
Answer: A.6 days
Explanation: Sol. (A + B)'s 1 day's work = (1/4). A's 1 day's work = (1/12).
B's 1 day's work =((1/4)-(1/12))=(1/6)
Hence, B alone can complete the work in 6 days.
Option A
Question: Given that f(1) = 1 and f(2) = 1. If f(n) = f(n+1) - f(n - 1), then find the value of f(8)−f(7)+f(5)f(7)−f(6)−f(4)
A.13/2
B.13/9
C.13/1
D.13/6
Answer: A.13/2
Explanation: f(n) = f(n+1) - f(n - 1)
⇒⇒ f(n - 1) = f(n + 1) = f(1)
f(8) - f(7) = f(6) and f(7) - f(6) = f(5)
⇒⇒f(n + 1) = f(n) + f(n - 1)
⇒⇒f(3) = f(2) + f(1) = 1 + 1 = 2
⇒⇒f(4) = f(3) + f(2) = 2 + 1 = 3
⇒⇒f(5) = f(4) + f(3) = 3 + 2 = 5
⇒⇒ f(6) = f(5) + f(4) = 5 + 3 = 8
f(8)−f(7)+f(5)f(7)−f(6)−f(4)=f(6)+f(5)f(5)−f(4)=8+55−3=13/2
Answer:A
Question: Three candidates contested an election and received 1136, 7636 and 16000 votes respectively. What percentage of the total votes did the winning candidate get?
A.46%
B.66%
C.74%
D.63%
Answer: B.66%
Explanation: B
16000/(1136 + 7636 + 16000) = 66%.
Question: A student chose a number, multiplied it by 2, then subtracted 148 from the result and got 110. What was the number he chose?
A.90
B.129
C.120
D.160
Answer: B.129
Explanation: Solution:
Let x be the number he chose, then
2*x*148=110
2x=258
x=129
correct answer B
Question: In a local election, 2400 people were to vote for Party A or Party B. Party A was bound to win the election. However, on Election Day, 33% of the voters of Party A were kidnapped. Party B was also able to influence the remaining Party A voters and thus double the strength of its voters. In this way, Party A lost by a majority which was half of that by which it would have won had the elections been fair. How many people finally voted for Party A and Party B?
A.600(A), 1200(B)
B.300(A), 600(B)
C.450(A), 900(B)
D.600(A), 900(B)
Answer: A.600(A), 1200(B)
Explanation: DETAILED SOLUTION
Easiest way to solve this question is through options:
a) If 600 voted for A and 1200 voted for B then
Before influencing, A – 600 + 600 = 1200, B – 1200 – 600 = 600(As half of B’s vote were through influencing)
Before kidnapping, A – 1200 + a∗12 of 1200 = 1800 (As 1/3 of A’s voters were kidnapped which is half of the 2/3 that remained)
Thus, total voter initially = 1800 (A) + 600 (B) = 2400
Thus option a) fits the scenario given in the question completely.
Therefore,
Answer – (a)
Correct Answer:A
Question: Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 3/4 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ?
A.4/15
B.3/12
C.3/11
D.3/10
Answer: A.4/15
Explanation: Let Veena paid x,
so Akshitha paid 3x/4 , and Lasya paid 2x,
So total bill paid is given by
x+(3x/4) +2x = 1, we get
i.e. x = 4/15
Answer: A
Question: Of 1000 surveyed students, 20% of those who read book A also read book B and 25% of those who read book B also read book A. If each student read at least one of the books, what is the difference between the number of students who read only book A and the number of students who read only book B?
A.120
B.125
C.130
D.145
Answer: B.125
Explanation: Say the number of students who read book A is A and the number of students who read book B is B.
Given that 20% of those who read book A also read book B and 25% of those who read book B also read book A, so the number of students who read both books is 0.2A=0.25B --> A=1.25B.
Since each student read at least one of the books then {total}={A}+{B}-{Both} --> 1000=1.25B+B-0.25B --> B=500, A=1.25B=625 and {Both}=0.25B=125.
The number of students who read only book A is {A}-{Both}=625-125=500;
The number of students who read only book B is {B}-{Both}=500-125=375
The difference is 500-375=125.
Answer: B.
Question: The remainder of the division of a number by 63 is 27. What will be the remainder when that number is divided by 9?
Please explain
A.4
B.5
C.0
D.7
Answer: C.0
Explanation: The easiest way to solve this question is by plugging in a number. Here are the steps I followed:
1) Choose a number X that when divided by 63 gives you 27 as a remainder. So I did x = 63 + 27 = 90. (90/63 = 1R27)
2) Divide that number by 9. 90/9 = 10R0
Since the remainder is 0, the correct answer is choice C.
Question: There is a 75% chance that Tigers will not win at all during the whole season. There is a 25% chance that Germany will not play at all in the whole season. What is the greatest possible probability that the Tigers will win and Germany will play during the season?
A. 55%
B. 60%
C. 70%
D. 75%
Answer: D. 75%
Explanation: There is a 75% chance that Tigers will not win at all during the whole season
We can infer that there is 25% chance Tigers will win .
Similarly There is a 25% chance that Germany will not play at all in the whole season
We can also infer that there is 75% chance that Germany will play.
Answer D
Question: If x = 2, then what is the value of 8x √x3 – x2
A.32
B.48
C.16√2
D.90
Answer: A.32
Explanation: Explanation:
Given: x = 2
8 * 2 √23 – 22
16√8-4
16√4
16 * 2 = 32
ANSWER: A
Question: If x is three times larger than n , and if 2n+3 is 20% of 25, what is the value of ?
A.1
B.2
C.3
D.6
Answer: C.3
Explanation: Then the wordings of question are misleading. Moreover, it'd also be a bad way to convey x=4n, if it really wanted to convey so.
From other questions that I have seen, proper wordings could be:
If x is three times as large as n
OR simply,
If x is three times n.C
Question: f(x) is a function such that f(x) + 3f(8 - x) = x for all real numbers x. Find the value of f(2).
A.5
B.4
C.3
D.2
Answer: D.2
Explanation: f(x) + 3f(8 - x) = x : given
f(2) + 3f(6) = 2 : x = 2 above
f(6) + 3f(2) = 6 : x = 6 above
f(6) = 6 - 3f(2) : solve equation C for f(6)
f(2) + 3(6 - 3f(2)) = 2 : substitute
f(2) = 2 : solve above equation.
correct answer is D) 2
Question: If x and y are integers such that x^2-2x+2y+3=2x^2-3x+y+1, we can deduce that y is
A.not an even
B.an even
C.a perfect square
D.an odd
Answer: B.an even
Explanation: x^2 - 2x + 2y + 3 = 2x^2 - 3x + y + 1
y = x^2 - x - 2
y = (x-2)(x+1) (Note that one factor is even and one factor is odd.)
Then y must be even.
The answer is B.
Question: If n = 2lk, where l and k are distinct prime numbers greater than 2, how many different positive even divisors does n have, including n ?
A. Two
B. Three
C. Four
D. Six
Answer: C. Four
Explanation: Answer - 'C' - Four.
For a number 2lk with primes lk,there will be four even divisors - 2,2*l,2*k,2*l*k
Question: Beginning in Town A, Biker Bob rides his bike 10 miles west, 5 miles north, 5 miles east, and then 15 miles north, to Town B. How far apart are Town A and Town B? (Ignore the curvature of the earth.)
A.22 miles
B.20.62 miles
C.25 miles
D.26 miles
Answer: B.20.62 miles
Explanation: Using Pythagoras we have one side i,e total distance traveled in north direction = 15+5=20m
other being the base ie distance traveled west- distance traveled eat=10- 5= 5 m
now this third side or the distance between town A and Town B=20^2+ 5^2=sq root 425=20.62 mile
Answer : B
Question: Evaluate: 11 + sqrt(- 4 + 6×4÷3) =?
A.10
B.11
C.12
D.13
Answer: D.13
Explanation: According to order of operations, inner brackets first where 6×4÷3 is first calculated since it has a multiplication and a division.
6×4÷3 = 24÷3 = 8
Hence
11 + sqrt(- 4 + 6×4÷3) = 11 + sqrt(- 4 + 8)
= 11 + sqrt(4) = 11 + 2 = 13
correct answer D)13
Question: A man spends 2/5 of his salary on house rent, 3/10 of his salary on food, and 1/8 of his salary on conveyance. if he has Rs 1400 left with him, find his expenditure on food and conveyance
A.3200
B.3400
C.3600
D.3800
Answer: B.3400
Explanation: If his salary is x, then
x- x*(2/5 +3/10+1/8) =1400
x(1- 33/40) =1400
x= 1400*40/7 = Rs 8000
Expenditure on food and conveyance = 8000*3/10+ 8000*1/8 = 2400+1000 = 3400
ANSWER:B
Question: If average temperature of june,july and august is 31,and july,august september is 30. find tempearture of september if temperature of june is 29.
A.26
B.27
C.28
D.29
Answer: A.26
Explanation: june+july+aug=31*3=93---(i)
july+aug+sep=30*3=90---(ii)
subtracting (ii) from (i)
june-sep=3
there4 September=29-3=26
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.2677
C.2168
D.2669
Answer: A.2400
Explanation: 1200 * 12: x * 9 = 2:3
x = 2400
Answer: A
Question: Mohit sold an article for $15000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
A.12500
B.25000
C.15000
D.18000
Answer: A.12500
Explanation: Let the CP be $x.
Had he offered 10% discount, profit = 8%
Profit = 8/100 x and hence his SP = x + 8/100 x = $1.08x = 15000 - 10/100(15000) = 15000 - 1500 = $13500
=> 1.08x = 13500
=> x = 12500
A
Question: P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?
A.5 5/11
B.5 6/11
C.6 5/11
D.6 6/11
Answer: A.5 5/11
Explanation: P can complete the work in (12 x 8) hrs. = 96 hrs.
Q can complete the work in (8 x 10) hrs. = 80 hrs.
Work done by P's per hour =1/96
Work done by Q's per hour =1/80
P and Q work together per hour=1/96 + 1/80=11/480
Both P and Q will finish the work in 480/11 hrs
Number of days of 8 hours each =480/11 x 1/8=60/11 days=5 5/11 days
A
Question: In a certain neighborhood, there are half as many beige houses as white houses, and 7 times as many white houses as brown houses. What is the ratio of the number of brown houses to the number of beige houses?
A.3:5
B.1:4
C.3:1
D.2:7
Answer: D.2:7
Explanation: The ratio of beige:white:brown = 7:14:2
The answer is D.
Question: A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be
A.22
B.24
C.26
D.20
Answer: C.26
Explanation: Let number of hens =h
number of cows =c
Number of heads =48
⇒h+c=48 ⋯(1)
Number of feet =140
⇒2h+4c=140
⇒h+2c=70 ⋯(2)
(2)−(1) gives
2c−c=70−48
⇒c=22
Substituting the value of c in (1), we get
h+22=48
⇒h=48−22=26
h+22=48⇒h=48−22=26
i.e., number of hens =26
Answer: C
Question: Two years ago, Sam put $1,000 into a savings account. At the end of the first year, his account had accrued $100 in interest bringing his total balance to $1,100. The next year, his account balance increased by 10%. At the end of the two years, by what percent has Sam's account balance increased from his initial deposit of $1,000 ?
A.19%
B.20%
C.21%
D.22%
Answer: C.21%
Explanation: investment 1000 dollars
1 st year total gained = 100
total amount end of first year = 1100
second year account increased by 10 % = 1100*0.1 = 110
therefore total amount by second year end = 1210
so total percentage increase in money = (1210-1000)*100/1000 = 21 %
ANSWER:C
Question: If the tens digit of positive integers m, y are 6, how many values of the tens digit of 2(m+y) can be there?
A.2
B.3
C.4
D.5
Answer: C.4
Explanation: If the tens digit of positive integers m, y are 6, how many values of the tens digit of 2(m+y) can be there?
A. 2
B. 3
C. 4
D. 5
E. 6
-> If m=y=60, 2(m+y)=240 is derived. If m=y=69, 2(m+y)=276 is derived, which makes 4,5,6,7 possible for the tens digit. Therefore, the answer is C.
Question: A jar contains 3 black, 3 white and 1 green balls. If you pick two balls at the same time, what's the probability that one ball is black and one is white?
A.2/7
B.5/7
C.4/7
D.3/7
Answer: D.3/7
Explanation: P(1st black, 2nd white) = 3/7*3/6 = 9/42;
P(1st white, 2nd black) = 3/7*3/6 = 9/42.
P = 9/42 + 9/42 = 18/42 = 3/7.
Answer: D.
Question: A man buys an article for 12% less than its value and sells it for 12% more than its value. His gain or loss percent is:
A.no profit, no loss
B.20% profit
C.less than 25% profit
D.more than 25% profit
Answer: D.more than 25% profit
Explanation: Let the article be worth Rs. x.
C.P. 88% of Rs. x = Rs. 88x/100
S.P. = 112% of Rs. x = Rs. 112x/100
Gain = (112x/100 - 88x/100) = Rs.6x/25
Gain % = 6x/25 * 100/88x * 100 = 27 3/11 % > 25%
ANSWER:D
Question: If log8 x + log 8 1/6 = 1/3, then the value of x is:
A.12
B.16
C.18
D.24
Answer: A.12
Explanation: log8 x + log8 (1/6) = 1/3
=> (log x/ log 8) + (log 1/6 / log 8) = log (81/3) = log 2
=> log x = log 2 – log 1/6 = log (2*6/1)= log 12
ANSWER:A
Question: For what value of x between − 6 and 6, inclusive, is the value of x^2 − 10x + 16 the greatest?
A.− 6
B.− 2
C.0
D.2
Answer: A.− 6
Explanation: we can see from the statement that two terms containing x, x^2 will always be positive and -10x will be positive if x is -ive..
so the equation will have greatest value if x is -ive, and lower the value of x, greater is the equation.
so -6 will give the greatest value..
ans A
Question: A man can reach certain place in 50hours. If he reduces his speed by 1/10th, he goes 100km less in time. Find his speed?
A.20km/hr
B.30km/hr
C.40km/hr
D.50km/hr
Answer: A.20km/hr
Explanation: Let the speed be x km/hr
50x-50* 9/10 *x = 100
50x - 45x = 100
5x = 100
x = 20km/hr
Answer is A
Question: In how many years does a sum of Rs. 3000 yield a simple interest of Rs. 12500 at 15% p.a.?
A.27.7 years
B.26.7 years
C.25.7 years
D.24.7 years
Answer: A.27.7 years
Explanation: T = (100 * 12500)/(15 * 3000) = 27.7 years
ANSWER:A
Question: John and David can finish a job together in 2 hours. If John can do the job by himself in 3 hours, what percent of the job does David do?
A.36.33%
B.33.33%
C.39.33%
D.40.33%
Answer: B.33.33%
Explanation: You can also plug in numbers. For example, Bob and Alice work at a donut factory and make 18 donuts which is the job ( I picked this as a SMART number).
John on his own works 18/3 = 6 donuts per hour.
John and David work 18/2 = 9 donuts per hour so David works 3 donuts/hour
To find out the percentage, David works 3 donuts/hr x 2 hours = 6 donuts per hour.
Therefore 6 donuts/18donuts = 1/3 = 33.33%
Answer : B
Question: What is the Compound Interest on Rs.6500 at 5.5% p.a. compounded half-yearly for 1 year.
A.369.42
B.762.42
C.162.42
D.362.42
Answer: D.362.42
Explanation: Compound interest : A = P(1 + r/n)nt
A = 6,862.42
C.I. >> 6,862.42 - 6500 >> Rs. 362.42
Answer:D