RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Tough and Tricky questions: Decimals.
The value of x is derived by summing a, b, and c and then rounding the result to the tenths place. The value of y is derived by first rounding a, b, and c to the tenths place and then summing the resulting values. If a = 5.58, b = 2.95, and c = 3.65, what is y – x?
A.-0.1
B.0.2
C.0.05
D.0.1
Answer: B.0.2
Explanation: To find x, we first sum a, b, and c, then round to the tenths place. 5.58 + 2.95+ 3.65 = 12.18, which rounds to 12.2.
To find y, we first round a, b, and c to the tenths place and them sum them. so 5.5 + 2.9 + 3.6 = 12.0.
We are looking for y - x, which gives us 12.5 - 12.4 = 0.2, or answer choice B.
B
Question: An agency wants to buy furnitures of x% of a list of 10,000 furnitures in a catalogue. After a market price increase, the agency must reduce this selection by (x − 2)%. In terms of x, how many furnitures will the agency be able to buy?
A.x*x – 2x
B.(x)(102 – x)
C.(100)(102 – x)
D.(100)(98 – x)
Answer: B.(x)(102 – x)
Explanation: Based on the answer choices and the question, this question begs the use of x=2 as a sample number.
Initial = 2%*10000 = 200
Reduction = 2-2=0%, so no math required here to calculate the reduction; just make sure that you can calculate 200 in your answer.
A. x*x – 2x = 0; No
B. (x)(102 – x) = 200; Winner!
C. (100)(102 – x) > 200; No
D. (100)(98 – x) > 200; No
E. (x-2)/100 = 0; No
B
Question: A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:
A.30 birds
B.22 birds
C.18 birds
D.38 birds
Answer: A.30 birds
Explanation: Let total number of shots =x
Shots fired by A =5x/8
Shots fired by B =3x/8
Killing shots by A
=(5x/8)×(1/3)=5x/24
Missing shots by B
=(3x/8)×(1/2)=3x/16
B has missed 27 times
⇒3x/16=27
⇒x=(27×16)/3=144
Hence, killing shots by A
=5x/24=(5×144)/24=30
i.e., A has killed 30 birds
Answer: A
Question: What day of the week does May 28 2006 fall on
A.Saturday
B.Monday
C.Sunday
D.Thursday
Answer: C.Sunday
Explanation: Explanation :
28th May 2006 = (2005 years + period from 1-Jan-2006 to 28-May-2006)
We know that number of odd days in 400 years = 0
Hence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400)
Number of odd days in the period 2001-2005
= 4 normal years + 1 leap year
= 4 x 1 + 1 x 2 = 6
Days from 1-Jan-2006 to 28-May-2006 = 31 (Jan) + 28 (Feb) + 31 (Mar) + 30 (Apr) + 28(may)
= 148
148 days = 21 weeks + 1 day = 1 odd day
Total number of odd days = (0 + 6 + 1) = 7 odd days = 0 odd day
0 odd day = Sunday
Hence May 28 2006 is Sunday. Answer : Option C
Question: Ajay, Bhavan and Chetan started a business together. Thrice the investment of Ajay, twice the investment of Bhavan and the investment of Chetan are equal. Find the ratio of their respective profits at the end of the year?
A.1:2:1
B.2:3:6
C.3:2:1
D.1:2:3
Answer: B.2:3:6
Explanation: Let the investments of Ajay, Bhavan and Chetan be Rs,a, Rs.b and Rs.c respectively.
3b = 2b = c.
a = c/3.
b = c/2.
Ratio of profits of Ajay, Bhavan and Chetan at the end of one year = Ratio of their respective investments
= 2:3:6.
ANSWER:B
Question: 125 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4?
A.3:7
B.3:9
C.3:1
D.3:4
Answer: D.3:4
Explanation: Milk = 3/5 * 125 = 75 liters
Water = 50 liters
75 : (50+P) = 3:4
150 + 3P = 400 => P = 50
50 liters of water are to be added for the ratio become 3:4.
Answer:D
Question: A and B can do a work in 4 hours and 12 hours respectively. A starts the work at 6AM and they work alternately for one hour each. When will the work be completed?
A.8 days
B.5 days
C.4 days
D.6 days
Answer: D.6 days
Explanation: Work done by A and B in the first two hours, working alternately = First hour A + Second hour B
= 1/4 + 1/12 = 1/3.
Total time required to complete the work
= 2 * 3 = 6 days.
Answer: D
Question: There are 7 red cups and 5 blue cups on a shelf. If 4 cups are selected at random from the shelf, what is the probability that all 4 cups selected are red cups?
A.1/99
B.5/99
C.7/99
D.11/99
Answer: C.7/99
Explanation: The number of ways of choosing 4 cups from the shelf is 12C4 = 495.
The number of ways of choosing 4 red cups is 7C4 = 35.
P(4 red cups) = 35/495=7/99.
The answer is C.
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?
A.150 meter
B.178 meter
C.209 meter
D.279 meter
Answer: A.150 meter
Explanation: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 9
=150 meter
Answer:A
Question: A train 90 meters long completely crosses a 200 meters long bridge in 36 seconds. What is the speed of the train is?
A.29
B.40
C.25
D.66
Answer: A.29
Explanation: S = (90 + 200)/36 = 290/36 * 18/5 = 29
Answer: A
Question: In a game of 80 points, A can give B 5 points and C 15 points. then how many points B can give C in a game of 60?
A.7 points
B.8 points
C.9 points
D.10 points
Answer: B.8 points
Explanation: In a game of 80 points,A give B 5 points and c 15 points means B=75,C=65
In 75 points B give 10 since 75-65=10
In 60 points B gives=60*10/75=8
so ans 8 points
ANSWER:B
Question: The length of a rectangle is halved, while its breadth is tripled. Watis the % change in area?
A.30%
B.40%
C.50%
D.60%
Answer: C.50%
Explanation: Let original length = x and original breadth = y.
Original area = xy.
New length = x .
2
New breadth = 3y.
New area = x x 3y = 3 xy.
2 2
Increase % = 1 xy x 1 x 100 % = 50%.
2 xy
C
Question: On her annual road trip to visit her family in Seal Beach, California, Traci stopped to rest after she traveled 1⁄2 of the total distance and again after she traveled 1⁄4 of the distance remaining between her first stop and her destination. She then drove the remaining 400 miles and arrived safely at her destination. What was the total distance, in miles, from Traci’s starting point to Seal Beach?
A. 250
B. 3200/3
C. 3150/3
D. 4002/3
Answer: B. 3200/3
Explanation: Let D = total distance
Traci traveled 1/2 = D/2
i.e. remaining distance = D/2
She traveled 1/4 th of D/2 = D/8
Thus:
D = (D/2) + (D/8) + 400
D = 3200/3
ANSWER: B
Question: There is a family of six persons A, B, C, D, E and F. They are Lawyer, Doctor, Teacher, Salesman, Engineer and Accountant There are two married couples in the family. D, the Salesman is married to the Lady Teacher. The Doctor is married to the Lawyer. F, the Accountant is the son of B and brother of E. C, the Lawyer is the daughter-in-law of A. E is the unmarried Engineer. A is the grandmother of F. How is E related to F?
A.Brother
B.Sister
C.Cousin
D.Cannot be determined
Answer: D.Cannot be determined
Explanation: Explanation:
C is the daughter-in-law of A who is the grandmother of F means C is the mother of F. But F is the son of B.
So. B is C's husband. But C, the lawyer is married to the Doctor So. B is the Doctor. F, the Accountant will be the son of B and C. E is the unmarried Engineer
So. the other mamed couple can be that of grandmother of F i.e, A and D. But D, the Salesman, is married to the Lady Teacher.
So. D, the Salesman, is the grandfather of F. father of B and the husband of A, the Lady Teacher.
Clearly, from the given data, the relation between E and F cannot be determined.
Answer: D)
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1245, find the loss %?
A.17%
B.16%
C.19%
D.78%
Answer: A.17%
Explanation: 1500 ---- 255
100 ---- ? => 17%
Answer:A
Question: If the annual rate of simple interest increases from 10% to 12 1/2 %, a man's yearly income increases by Rs. 1250. His principal in Rs. is?
A.29879
B.50000
C.72900
D.27992
Answer: B.50000
Explanation: Let the sum be Rs. x. Then,
(x * 25/2 * 1/100) - (x * 10 * 1)/100 = 1250
25x - 20x = 250000
x = 50000
Answer: B
Question: Two pipes A and B can fill a cistern in 37 1/2minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if pipe B is turned off after
A.5 min
B.9 min
C.10 min
D.15 min
Answer: B.9 min
Explanation: Explanation:
Part filled by pipe A in 1 minute = 2 7/5
Part filled by pipe B in 1 minute =1 4/5
Suppose pipe B is closed after x minutes. Then,
2 7/5 × 30 +1 4/5 × x =1
4/5 +x/45 =1
x=9
Answer: Option B
Question: Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?
A.3
B.5
C.7
D.8
Answer: A.3
Explanation: On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted
A
Question: The following sets each have a mean of 5 and the standard deviations are given in variable form.
Set I = {5, 5, 5, 5, 5, 5}, standard deviation = H
Set II = {1, 1, 1, 9, 9, 9}, standard deviation = J
Set III = {2, 3, 4, 6, 7, 8}, standard deviation = K
Rank these three standard deviations from least to greatest.
A.K, J, H
B.K, H, J
C.H, J, K
D.H, K, J
Answer: D.H, K, J
Explanation: The answer should be D as the mean is least deviated in Set I followed by Set III and then Set II.
Question: A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
A.6
B.5
C.4
D.7
Answer: D.7
Explanation: 7 * 8 : 9 * x = 8:9 => x= 7.Answer: D
Question: The sum of three consecutive odd natural numbers, each divisible by 3 is 90. What is the largest among them?
A.21
B.24
C.27
D.33
Answer: D.33
Explanation: Let the 3 consecutive odd numbers each divisible by 3 be X, X+3, X+6
Given, X + X+3 + X+6 = 90
3X = 81
X = 27
The numbers are 27, 30, 33
Therefore the largest number is 33
Answer D.
Question: A watch was sold at a loss of 16%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
A.700
B.882
C.799
D.778
Answer: A.700
Explanation: 84%
104%
--------
20% ---- 140
100% ---- ? => Rs.700
Answer: A
Question: if below equation are true
24$6=64
35$5=87
63$7=99
by using same logic what is the value of the below question
88$8=?
A.1621
B.1711
C.1611
D.1511
Answer: C.1611
Explanation: Correct Answer : C
the number on the right side is formed as (sum of digits of the 1st number)
no1/ no2
ex:
35$5=87 (3+5=8)(35/5=7)
63$7=99 (6+3=9)(63/7=9)
Question: A, B and C can do a work in 18, 30 and 45 days respectively. If they work together, in how many days will they complete the work?
A.9
B.16
C.17
D.18
Answer: A.9
Explanation: One days's work of A, B and C = 1/18 + 1/30 + 1/45
= (5 + 3 + 2)/90 = 1/9
A, B and C together can do the work in 9 days.
Answer:A
Question: In a full deck of 52 cards, there are 13 spades. A game is played whereby a card from is chosen at random from the deck. If the card is a spade, a winner is declared. If the card is not a spade, it is returned to the deck, the deck is reshuffled and another card is drawn. This process is repeated until a spade is drawn. What is the probability that one will pick the first spade on the second draw or later?
A.1/8
B.1/4
C.1/2
D.3/4
Answer: D.3/4
Explanation: Favorable case = the spade is picked in the third draw or later
Unfavorable case = The spade is picked in either first draw or in second draw
Probability = Favorable outcomes / Total out comes
Also probability = 1-(Unfavorable outcomes / Total out comes)
Unfavorable case: probability of spade picked in first draw = 13/52 =1/4
i.e., Favorable Probability = 1 - (1/4) = 3/4
Answer Option: D
Question: In a game of billiards, A can give B 10 points in 50 and he can give C 30 points in 50. How many points can B give C in a game of 100?
A.65
B.60
C.70
D.50
Answer: D.50
Explanation: A scores 50 while B score 40 and C scores 20.
The number of points that C scores when B scores 100 = (100 * 20)/40 = 50.
In a game of 100 points, B gives (100 - 50) = 50 points to C
Answer:D
Question: A person got Rs.55 more when he invested a certain sum at compound interest instead of simple interest for two years at 9% p.a. Find the sum?
A.6790
B.6890
C.6700
D.2667
Answer: A.6790
Explanation: P = (d * 1002) / R2
=> (55 * 100 * 100) / 9 * 9 = Rs.6790
Answer:A
Question: Rs 70000 is divided into two parts One part is given to a person with 10% interest and another part is given to a person with 20 % interest. At the end of first year he gets profit 8000 Find money given by 10%?
A.30000
B.40000
C.50000
D.60000
Answer: D.60000
Explanation: let first parrt is x and second part is y then x+y=70000----------eq1
total profit=profit on x +profit on y
8000=(x*10*1)/100 + (y*20*1)/100
80000=x+2y-----------------------------------eq2
80000=70000+y
so y=10000 then x =70000-10000=60000
first part =60000
ANSWER:D
Question: Two carpenters, working in the same pace, can build 2 desks in two hours and a half. How many desks can 4 carpenters build in 1 hours?
A.1.6.
B.3.6.
C.4.2.
D.5.5.
Answer: A.1.6.
Explanation: W = 2 desks
T = 2.5 hrs
Rate of 2 carpenters = 2×R
Rate = work done/ time
2xR = 2/2.5
R = 1/2.5 = 2/5 (this is the rate of each carpenter)
Work done by 4 carpenters in 1 hrs = 4 × rate of each carpenter x time = 4× 2/5 × 1 =1.6 desks
A is the correct answer.
Question: Ten years ago, the age of Anand was one-third the age of Bala at that time. The present age of Bala is 12 years more than the present age of Anand. Find the present age of Anand?
A.14
B.16
C.18
D.20
Answer: B.16
Explanation: Let the present ages of Anand and Bala be 'a' and 'b' respectively.
a - 10 = 1/3 (b - 10) --- (1)
b = a + 12
Substituting b = a + 12 in first equation,
a - 10 = 1/3 (a + 2) => 3a - 30 = a + 2
=> 2a = 32 => a = 16.
ANSWER:B
Question: A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
A.22
B.77
C.90
D.77
Answer: C.90
Explanation: SP of 1m of cloth = 8925/85 = Rs. 105
CP of 1m of cloth = SP of 1m of cloth - profit on 1m of cloth
= Rs. 105 - Rs. 15 = Rs. 90.
Answer: C
Question: If the day after tomorrow is three days before tuesday, do you know which day is today?
A.sunday
B.monday
C.saturday
D.thursday
Answer: D.thursday
Explanation: Correct Answer : D
three days before tuesday is saturday, now saturday is day after tomorrow, so today is thursday
Question: A and B are two positive number,if A is divisible by 2 but not by 5 and B is divisible by 5 but not by 2, what could be the value of A and B in the following:- [ the answer are given in the order (A,B) ]
A.( 10,10)
B.(8,10)
C.(10,8)
D.(8,15)
Answer: D.(8,15)
Explanation: In option (A) , (B) and (C) since all are divisible by 2 and 5 so they are wrong.
In (D),
A=8 ; divisible by 2 but not by 5
B=15 ; divisible by 5 but not by 2.
option (E) is just the opposite of (D)
answer: (D) ie (8,15)
Question: An express traveled at an average speed of 100 km/hr, stopping for 4 min after every 75 km. How long did it take to reach its destination 300 km from the starting point ?
A.8 hrs 29 min
B.6 hrs 28 min
C.3 hrs 12 min
D.6 hrs 28 min
Answer: C.3 hrs 12 min
Explanation: Explanation:
Time taken to cover 300 km = 300/100 = 3 hrs.
Number of stoppages = 300/75 - 1 = 3
Total time of stoppages = 4 x 3 = 12 min
Hence, total time taken = 3 hrs 12 min.
Answer: C
Question: 49 × 49 × 49 × 49 = 7?
A.4
B.7
C.8
D.16
Answer: C.8
Explanation: 49 × 49 × 49 × 49 = 7?
or, 7(2) × 7(2) × 7(2) × 7(2) = 7?
or 7(8) = 7? or, ? = 8
Answer C
Question: The angle between the minute hand and the hour hand of a clock when the time is 11.30, is
A.35°
B.65°
C.45°
D.165°
Answer: D.165°
Explanation: Angle between hands of a clock
When the minute hand is behind the hour hand, the angle between the two hands at M minutes past H 'o clock
=30(H−M/5)+M/2 degree
When the minute hand is ahead of the hour hand, the angle between the two hands at M minutes past H 'o clock
=30(M/5−H)−M/2 degree
Here H = 11, M = 30 and minute hand is behind the hour hand.
Hence the angle
=30(H−M/5)+M/2
=30(11−30/5)+30/2
=30(11−6)+15
=30×5+15 =165°
Answer is D.
Question: Here is a question to keep you busy. Assume that you travel to your friend's place at 20 mph, then how fast you must make the return trip via the same route such that the average speed of your travel becomes 40 mph?
A.Possible
B.No Idea
C.All above 3
D.Impossible
Answer: D.Impossible
Explanation: D
Impossible
Let us first denote everything with variables.
d= distance to your friend's place
T = time taken to get there
t = time required to get back
R = Speed while returning back
d = 20T
T = d/20
d = Rt
t = d/R
We have made equations for T and t and now we can derive an equation for the round trip.
2d = 40(T + t)
2d = 40(d/20 + d/R)
2d = 40d(1/20 + 1/R)
1 = 20(R/20R + 20/20R)
20R = 20(R+20)
R = R + 20
Do you see the paradox here? You literally have to travel back at an infinite speed if you want to make the average speed of your trip 40 mph. The faster return speed will have lesser impact of the average speed but consider that the quicker your return trip is, the faster you will make it.
We are talking about travelling double the distance in the same time that was taken for one way trip. Thus, if you travel at infinite speed, you will be able to attain an average of 40 mph.
Question: Alice’s take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 4 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?
A.1/7
B.1/5
C.1/4
D.1/3
Answer: C.1/4
Explanation: Suppose the portion of her salary that she saved is X
and the remaining portion is Y
X+Y= total take home salary
given, 12X = 4Y
or 3X = Y
Total take-home salary= X+ 3X= 4X
hence, she saved 1/4-th portion of her take home salary
C
Question: The average of runs of a batsman of seven innings was 38. How many runs must be made in his next innings so as to increase his average of runs by 3?
A.72
B.54
C.70
D.62
Answer: D.62
Explanation: Explanation :
Average after 8 innings = 41
Required number of runs = ( 41 8) - (38 7) =328 - 266 =62
Answer : D
Question: A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is
A.3.34
B.45
C.44
D.33
Answer: A.3.34
Explanation: Area of the path = Area of the outer circle - Area of the inner circle = ∏{4/2 + 25/100}2 - ∏[4/2]2
= ∏[2.252 - 22] = ∏(0.25)(4.25) { (a2 - b2 = (a - b)(a + b) }
= (3.14)(1/4)(17/4) = 53.38/16 = 3.34 sq m
Answer: Option A
Question: A train running at the speed of 300 km/hr crosses a pole in 33 seconds. What is the length of the train?
A.2750
B.2850
C.2950
D.3050
Answer: A.2750
Explanation: Speed=(300 x(5/18)m/sec	=(250/3)m/sec.
Length of the train = (Speed x Time).
Length of the train =	((250/3)x 33)m = 2750 m
A
Question: Two pipes A and B can fill a tank in 6 and 12 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
A.4
B.6
C.8
D.10
Answer: A.4
Explanation: Part filled by A in 1 min. = 1/6
Part filled by B in 1 min. = 1/12
part filled by (A + B) in 1 min. = 1/6 + 1/12 = 1/4.
Both the pipes can fill the tank in 4 minutes.
Answer: A
Question: The sum of two numbers is 40 and their difference is 28. Find their product.
A.104
B.108
C.114
D.204
Answer: D.204
Explanation: Sol.
Let the numbers be x and y.
Then, x + y = 40 and
x - y = 28
2x = 68 => x = 34
y = 6
xy = 34 * 6 = 204
Answer : D
Question: If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing thesame no. by 31
A.3
B.6
C.5
D.8
Answer: C.5
Explanation: P ÷ 44 = 432
=> P = 432 * 44 = 19008
P / 31 = 19008 / 31 = 613, remainder = 5
C
Question: A family consists of grandparents, parents and three grand children. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?
A.28 4⁄7 years
B.31 5⁄7 years
C.32 1⁄7 years
D.27 1⁄2 years
Answer: B.31 5⁄7 years
Explanation: Required average = (67×2+35×2+6×3/2+2+3)
= (134+70+18/7)=222/7
= 31 5⁄7 years
Answer B
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square?
A.187
B.278
C.278
D.400
Answer: D.400
Explanation: Let the side of the square be a cm. Let the length and the breadth of the rectangle be l cm and b cm respectively.
4a = 2(l + b)
2a = l + b
l . b = 480
Answer:D
Question: If a and b are different positive integers and a + b = a(a + b), then which of the following must be true?
I. a = 1
II. b = 1
III. b > a
A.I only
B.II only
C.III only
D.I and III
Answer: D.I and III
Explanation: a has to equal a squared, and that only works if a is 1. There are no positive integers less than 1, so I and III are correct.
Answer : D
Question: In the x- y plane, there are 4 points (0,0), (0,4), (7,4), and (7,0). If these 4 points makes a rectangle, what is the probability that x+y<4?
A.2/3
B.3/5
C.2/7
D.4/9
Answer: C.2/7
Explanation: The line y=-x+4 intersects the rectangle and these three points of intersection (0,0), (0,4) and (4,0) form a triangle.
The points below the line y=-x+4 satisfy x+y<4.
The area of this triangle is (1/2)(4)(4)=8
The area of the rectangle is 28.
P(x+y<4) = 8/28 = 2/7
The answer is C.
Question: Which of the following must be an integer if the integer x is divisible by both 28 and 21?
A.x/252
B.x/84
C.x/126
D.x/108
Answer: B.x/84
Explanation: the integer has to be multiple of LCM of 28 and 21, which is 84..
so x/84 will be an integer
ans B
Question: If x is a positive number and 1/2 the square root of x is the cube root of x, then x =
A.64
B.32
C.16
D.4
Answer: A.64
Explanation: 1/2 the square root of x is cube root of x.
if x = 64..
then 1/2 the square root of x = 4 and cube of x is 64.
Option A.
Question: A father said his son , " I was as old as you are at present at the time of your birth. " If the father age is 38 now, the son age 5 years back was :
A.14
B.36
C.28
D.29
Answer: A.14
Explanation: Explanation:
Let the son's present age be x years .Then, (38 - x) = x x= 19.
Son's age 5 years back = (19 - 5) = 14 years
Answer: A) 14
Question: At what rate percent on simple interest will a sum of money double itself in 30 years?
A.3 1/3%
B.3 1/6%
C.3 1/5%
D.3 5/3%
Answer: A.3 1/3%
Explanation: P = (P*30*R)/100
R = 3 1/3%
Answer: A
Question: A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum?
A.7000
B.7029
C.7290
D.7010
Answer: A.7000
Explanation: Let the sum be Rs. x.
(x * 18 * 2)/100 - (x * 12 * 2)/100
= 840 => 36x/100 - 24x/100 =840
=> 12x/100 = 840 => x
= 7000.
Answer:A
Question: Out of three consecutive odd numbers ten times the first number is equal to addition of thrice the third number and adding 8 to thrice the second . What is the first number?
A.5/6
B.45/32
C.14/3
D.13/2
Answer: D.13/2
Explanation: Description :
=> 10x=3(x+2)+8+3(x+4)
=> 10x=6x+26
=> 4x=26
X=26/4=13/2
Answer D
Question: Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?
A.9 km/hour
B.10 km/hour
C.11 km/hour
D.12 km/hour
Answer: D.12 km/hour
Explanation: Explanation:
We need to calculate the distance, then we can calculate the time and finally our answer.
Lets solve this,
Let the distance travelled by x km
Time = Distance/Speed
x/10−x/15=2
[because, 2 pm - 12 noon = 2 hours]
3x−2x=60x=60.
Time=Distance/Speed
Time@10km/hr=60/10=6hours
So 2 P.M. - 6 = 8 A.M
Robert starts at 8 A.M.
He have to reach at 1 P.M. i.e, in 5 hours
So, Speed = 60/5 = 12 km/hr
Option D
Question: Rajan borrowed Rs.4000 at 5% p.a compound interest. After 2 years, he repaid Rs.2210 and after 2 more year, the balance with interest. What was the total amount that he paid as interest?
A.Rs.635.50
B.Rs.613.50
C.Rs.675.50
D.Rs.653.50
Answer: A.Rs.635.50
Explanation: 4000
200 ---- I
200
10 ---- II
---------------
4410
2210
--------
2000
110 ---- III
110
5.50 ---- IV
-----------
2425.50
2210
-----------
4635.50
4000
----------
635.50
ANSWER:A