RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Mangala completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is?
A.8 days
B.10 days
C.12 days
D.14 days
Answer: A.8 days
Explanation: If A can complete a work in x days and B can complete the same work in y days, then, both
of them together can complete the work in x y/ x+ y days.
That is, the required No. of days = 10 × 40/50 = 8 days
A)
Question: In a bag there are a certain number of yellow balls and blue balls. The probability of picking up exactly 1 blue ball when 2 balls are randomly drawn, is 1/2. Which of the following is the ratio of the number of yellow balls to blue balls in the bag
A.3:1
B.1:3
C.1:5
D.1:1
Answer: D.1:1
Explanation: since the probability of drawing a blue ball out of two picks is 1/2.
the ratio of the blue ball to yellow balls should be 1:1
Answer : D
Question: A train running at the speed of 50 km/hr crosses a pole in 9 sec. What is the length of the train?
A.125 m
B.786 m
C.566 m
D.546 m
Answer: A.125 m
Explanation: Speed = 50 * 5/18 = 125/9 m/sec
Length of the train = speed * time = 125/9 * 9
= 125 m
Answer: A
Question: Jack has $1.60 in pennies, nickels and dimes. The number of each kind of coin is the same. What is the total number of coins that Jack has?
A.40
B.35
C.30
D.25
Answer: C.30
Explanation: Let the number of each type of coin be a. Then 0.01a + 0.05a + 0.10a = 1.600.16a = 1.60a = 10So the total number of coins = 3a = 30Answer: C
Question: Length of a rectangular plot is 30 mtr more than its breadth. If the cost of fencin g the plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
A.46 m
B.60 m
C.65 m
D.78 m
Answer: C.65 m
Explanation: Let breadth = x metres.
Then, length = (x + 30) metres.
Perimeter = 5300/26.5 m = 200 m.
2[(x + 30) + x] = 200
2x + 30 = 100
2x = 70
x = 35.
Hence, length = x + 30 = 65 m
C
Question: . A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
A.28
B.108
C.297
D.27
Answer: D.27
Explanation: Explanation:
The boy can select one trouser in nine ways.
The boy can select one shirt in 12 ways.
The number of ways in which he can select one trouser and one shirt is 9 * 12 = 108 ways.
Answer: Option D
Question: If f(x)=5x and g(y)=4y-8 then g(f(x))
A.87x-7
B.98x-8
C.58x-9
D.20x-8
Answer: D.20x-8
Explanation: g(f(x))=4(5x)-8 = 20x-8
Answer is D
Question: In T.Nagar the building were numbered from 1 to 100.Then how many 4's will be present in the numbers?
A.18
B.19
C.20
D.21
Answer: C.20
Explanation: just count the number of 4's from 1 to 100
(4,14,24,34,40,41,42,43,44,45,46,47,48,49,54,64,74,84,94)
totally there are 20
ANSWER:C
Question: If Susan takes 13 seconds to run y yards, how many minutes will it take her to run x yards at the same rate?
A.13x/(60y)
B.xy/13
C.60xy/13
D.xy/780
Answer: A.13x/(60y)
Explanation: The answer is A.
She runs x yards in 13x/y seconds =13x/60y minutes.
Question: In a meeting of 4 representatives from each of 6 different companies, each person shook hands with every person not from his or her own company. If the representatives did not shake hands with people from their own company, how many handshakes took place?
A.250
B.260
C.240
D.270
Answer: C.240
Explanation: In fact, all 24 people will shake hands with 20 others.
So, it SEEMS like the TOTAL number of handshakes = (24)(20)
HOWEVER, we need to keep in mind that we have counted each handshake TWICE.
To account for this DUPLICATION, we must divide (24)(20) by 2.
So, the TOTAL # of handshakes = (24)(20)/2 = 240
Answer : C
Question: A box contains 9 pairs of shoes (18 shoes in total). If two shoes are selected at random, what it is the probability that they are matching shoes?
A.1/190
B.1/17
C.1/19
D.1/10
Answer: B.1/17
Explanation: The problem with your solution is that we don't choose 1 shoe from 18, but rather choose the needed one AFTER we just took one and need the second to be the pair of it. So, the probability would simply be: 1/1*1/17(as after taking one at random there are 17 shoes left and only one is the pair of the first one)=1/17
Answer: B.
Question: {1/(5+√24)}^2 =
A.a. 16+16√15
B.b. 31- 8√15
C.c. 31+ 10√15
D.d. 49+10√24
Answer: D.d. 49+10√24
Explanation: =1 / (25 + 10 root24 + 24)
= 1 / (49 + 10 root24)
Multiply numeratordenominator by (49 -10 root24)
= (49 + 10root24)
Answer = D
Question: Rain is falling at a rate of 3 centimeters per hour all over Springfield. Somewhere downtown in Springfield a group of pigeons is waiting for the rain to stop. If the rain filled a round puddle the with a base area of 350 square centimeters and a depth of 13.5 centimeters, how long did the pigeons wait for the rain to stop?
A.3 hours and 12 minutes.
B.four hours and 30 minutes
C.four hours and 45 minutes
D.five hours and 10 minutes
Answer: B.four hours and 30 minutes
Explanation: The volume of the puddle is irrelevant and only height matters since rain fell all over the city.
Thus, it takes only . 13.5 / 3 = 4.5 hours of rain to fill the puddle
Answer is : B, 4 hours and 30 mins
Question: For all real numbers v, an operation is defined by the equation v* = v - v/3. If (v*)* = 24, then v=
A.45
B.48
C.51
D.54
Answer: D.54
Explanation: (v*)* = (v - v/3) - (v - v/3) / 3
24 = 2v/3 - 2v/9 = 4v/9
v = 54
The answer is D.
Question: A company produces 50000 bottles of water everyday. If a case can hold 25 bottles of water .How many cases are required by the company to hold its one day production
A.2000
B.4500
C.5000
D.8000
Answer: A.2000
Explanation: Number of bottles that can be held in a case = 25
Number of cases required to hold 50000 bottles = 50000/25=2000 cases.
So the answer is A =2000
Question: Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 26.1 kg of zinc has been consumed in it?
A.58 kg
B.60 kg
C.64 kg
D.70 kg
Answer: A.58 kg
Explanation: Sol.
For 9 kg Zinc, mixture melted = (9+11) kg.
For 26.1 kg Zinc, mixture, melted = [20/9 x 26.1] kg
= 58 kg.
Answer A
Question: The H.C.F. and L.C.M. of two numbers are 10 and 5040 respectively If one of the numbers is 144, find the other number
A.400
B.256
C.350
D.420
Answer: C.350
Explanation: Explanation:
Solve this question by using below formula.
Product of 2 numbers = product of their HCF and LCM
144 * x = 10 * 5040
x = (10*5040)/144 = 350
Option C
Question: The compound and the simple interests on a certain sum at the same rate of interest for two years are Rs.11730 and Rs.10200 respectively. Find the sum?
A.Rs.17000
B.Rs.17020
C.Rs.17009
D.Rs.17029
Answer: A.Rs.17000
Explanation: The simple interest for the first year is 10200/2 is Rs.5100 and compound interest for first year also is Rs.5100. The compound interest for second year on Rs.5100 for one year
So rate of the interest = (100 * 1530)/ (5100 * 1)
= 30% p.a.
So P = (100 * 10200)/ (30 * 2)
= Rs.17000
Answer:A
Question: In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
A.6 sec
B.7 sec
C.8 sec
D.9 sec
Answer: A.6 sec
Explanation: T = 60/36 * 18/5
= 6 sec
Answer:A
Question: How many distinct integer values of n satisfy the inequality||n-3| + 4| ≤ 17?
A.15
B.16
C.17
D.18
Answer: A.15
Explanation: so i can write this as In-3I+4<=17
or In-3I<=13
so n can have -10 to 16 = 15 true values....
A
Question: sue has 3 apples. Billy has 6 apples. If billy steals all of sues apples and eats 4 how many does he have left?
A.2
B.5
C.6
D.4
Answer: B.5
Explanation: 5 B
Question: In a house a hall is 20 m long, 15m wide and 5m high. Its interior has to be covered with mat. What will be the total expenditure if it costs Rs. 60 per square m?
A.Rs. 52000
B.Rs. 54000
C.Rs. 57000
D.Rs. 59000
Answer: C.Rs. 57000
Explanation: Length (l) = 20 m, Breadth (b) = 15 m and Height (h) = 5 m
Total area of the hall to be covered with mat = 2(lb + bh + hl)
= 2(20 * 15 + 15 * 5 + 5 * 20)
=2(300 + 75 + 100)
= 2 * 475
= 950 sq. m
Total expenditure = 60 * 950
= Rs. 57000
C
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.28
B.89
C.36
D.88
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: What is the remainder when 42*49 is divided by 8?
A. 1
B. 2
C. 4
D. 5
Answer: B. 2
Explanation: we can make use of the rule :
Remainder of { (a * b)/n}} = Remainder of (a/n) * Remainder of (b/n)
Here
Remainder of { 42 * 49)/8}} = Remainder of (42/8) * Remainder of (49/8) = 2 * 1 = 2
Answer :B
Question: The remainder when Q=1+3+3^2+3^3+..........+3^200 is divided 13.
A.12
B.7
C.0
D.5
Answer: C.0
Explanation: Q=1+3+3^2+3^3+..................+3^200
Is a Geometric progression having common ratio as '3' and number of terms as '201'.
Since Sum to n terms in GP = a(r^n-1)/(r-1)
where a=First term and r =common ration
Hence,
1*(3^201 -1 )/(3-1)
Rem of (3^201-1)/2 divided by 13
3^201 -1 /26
WKT, 3^3 = 27 = 26+1
{(26+1)^67 - 1}/26
{1-1}/26
=>0.C
Question: A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.3025 in 3 years. Find the rate percent?
A.11
B.10
C.28
D.25
Answer: D.25
Explanation: Explanation:
2420 --- 605
100 --- ? => 25%
Answer: Option D
Question: Nine children — A, B, C, D, E, F, G, H, and I — are going to sit in nine chairs in a row. Child C must be somewhere to the left of child D. How many possible configurations are there for the children?
A.155,880
B.164,770
C.173,660
D.181,440
Answer: D.181,440
Explanation: The number of ways to seat 9 people is 9! = 362,880.
Child C will sit to the left of Child D in exactly half of these arrangements.
The total number of possible arrangements is 362,880/2 = 181,440
The answer is D.
Question: A garden center sells a certain grass seed in 5-pound bags at $13.85 per bag, 10-pound bags at $20.42 per bag, and 25-pound bags $32.25	per bag. If a customer is to buy at least	65 pounds of the grass seed,	but no more than 80 pounds,	what is the least possible cost of the grass seed that the customer will buy?
A.$94.03
B.$96.75
C.$98.78
D.$98.77
Answer: D.$98.77
Explanation: there can be 2 cases
1)25+25+10+5=$98.77 or
2)25+25+25=$96.75
D
Question: A 300 metre long train crosses a platform in 39 seconds while it crosses a post in 18 seconds. What is the length of the platform?
A.300m
B.200m
C.250m
D.350m
Answer: D.350m
Explanation: Length of the train = distance covered in crossing the post = speed × time = speed × 18
Speed of the train = 300/18 m/s = 50/3 m/s
Time taken to cross the platform = 39 s
(300+x)/(50/3) = 39 s where x is the length of the platform
300+x = (39 × 50) / 3 = 650 meter
x = 650-300 = 350 meter
Answer is D.
Question: Of the 150 employees at company X, 70 are full-time, and 100 have worked at company X for at least a year. There are 20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year. How many full-time employees of company X have worked at the company for at least a year?
A.20
B.40
C.50
D.80
Answer: B.40
Explanation: 150 employees
70 are full-time
100 have worked at company X for at least a year
20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year.
How many full-time employees of company X have worked at the company for at least a year?
150-70=80 employees not full time
80-20= 60 employees not full time who worked over a year
100 employees have worked at company X for at least a year-60 employees not full time who worked over a year = 40 full-time employees of company X have worked at the company for at least a year
ans B
Question: Consider a lady took a loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 6300
interest only for the period. The principal amount borrowed by her was
A.Rs. 2000
B.Rs. 17500
C.Rs. 15000
D.Rs. 20000
Answer: B.Rs. 17500
Explanation: Explanation :
Principal = Rs. (100×6300 / 12×3)
=> Rs. 17500.
Answer : B
Question: A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
A.11
B.18
C.44
D.13
Answer: C.44
Explanation: π (152 - 132) = 176
176 * 1/4
= Rs.44
Answer: C
Question: Four milkmen rented a pasture. A grazed 24 cows for 3 months; B 10 for 5 months; C 35 cows for 4 months and D 21 cows for 3 months. If A's share of rent is Rs. 360, find the total rent of the field.
A.3750
B.1625
C.4250
D.2250
Answer: B.1625
Explanation: Ratio of shares of A, B, C, D = (24 x 3) : (10 x 5) : (35 x 4) : (21 x 3) = 72 : 50 : 140 : 63.
Let total rent be Rs. x. Then, A’s share = Rs. (72x)/325
(72x)/325=360 = x=(360 x 325)/72 = 1625
Hence, total rent of the field is Rs. 1625.
Answer is B.
Question: In how many different number of ways a combination of 3 boys and 2 girls can be selected from 6 boys and 5 girls.
A.20
B.40
C.46
D.48
Answer: A.20
Explanation: 6C3
= 6!/(3! . 3!)
= (6 × 5 × 4)/(3 × 2)
= 5 × 4 = 20.
A)
Question: Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is:
A.8408
B.8402
C.8400
D.2888
Answer: C.8400
Explanation: Ratio of their shares = 22500 : 35000 = 9:14
Deepak's share = 13800 * 14/23 = Rs. 8400.
Answer: C
Question: A AND B CAN TOGETHER FINISH A WORK IN 30 DAYS. THEY WORKED TOGETHER FOR 20 DAYS AND THEN B LEFT. AFTER ANOTHER 20 DAYS, A FINISHED THE REMAINING WORK. IN HOW MANY DAYS A ALONE CAN FINISH THE JOB?
A.40
B.50
C.54
D.60
Answer: D.60
Explanation: (A+B)'S 20 DAYS WORK=(1/30*20)=2/3. REMAINING WORK=(1-2/3)=1/3.
NOW, 1/3 WORK IS DONE BY A IN 20 DAYS.
WHOLE WORK WILL BE DONE BY A IN (20*3)=60 DAYS.
CORRECT OPTION:D
Question: Set P consists of integers {3, -8, Y, 19, -6} and set B consists of integers {k, -3, 0, 16, -5, 9}. Number L represents the median of set P, number M represents mode of set B and number Z = L^M. If Y is an integer greater than 21, for what value of k will Z be a divisor of 26?
A.-2
B.-1
C.0
D.1
Answer: C.0
Explanation: P = {3,-8,Y,19,-6}
B = {k,-3,0,16,-5,9}
Y > 21
So L = Median of P = 3
M = Mode of Set B
Z = (3)^M
If Z is a divisor of 26, (3)^M = 1 because 26 does not have 3 as a factor
=> M = 0
Hence k = 0, as M is mode and 0 will be the most frequently occuring number in set B.
Answer - C
Question: A train leaves Delhi at 9 a.m. at a speed of 30 kmph. Another train leaves at 2 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet?
A.288 km
B.188 km
C.600 km
D.388 km
Answer: C.600 km
Explanation: D = 30 * 5 = 150
RS = 40 – 30 = 10
T = 150/10 = 15
D = 40 * 15 = 600 km
Answer:C
Question: What sum of money put at C.I amounts in 2 years to Rs.8800 and in 3 years to Rs.9261?
A.7945
B.8877
C.2877
D.2678
Answer: A.7945
Explanation: 8800 ---- 461
100 ---- ? => 5.238%
x *105.238/100 * 105.238/100 = 8800
x*1.1075=8800
x=8800/1.1075 => 7945.70
Answer: A
Question: An air-conditioning unit costs $470. On December there was a discount for Christmas of 16%. Six months later, the holiday season was over so the company raised the price of the air-conditioning by 16%. How much will an air-conditioning unit cost in November?
A.$458
B.$470
C.$472
D.$484
Answer: A.$458
Explanation: Price after discount and again raising by 16%= 470 * 82/100 * 116/100
We don't really need to multiply the whole expression. The units digit of this expression will be '8' , and only option A has 8 as units digit.
Hence A is the answer
Question: One side of a rectangular field is 15m and one of its diagonal is 17m. Find the area of field?
A.110
B.120
C.130
D.140
Answer: B.120
Explanation: Other side = [(17 x 17) - (15 x 15)] = (289 - 225) = 8m
Area = 15 x 8 =120 sq. m ANSWER :B
Question: If a > 1, which of the following is equal to (2a - 6)/(a^2 - 4a + 3)?
A.a
B.2/(a - 1)
C.a + 3
D.2a/(a - 3)
Answer: B.2/(a - 1)
Explanation: Here's the algebraic approach:
(2A - 6)/(A^2 + 2A - 3) can be rewritten as...
2(A -3)/(A-3)(A-1)
We can simplify the fraction, which leaves us with...
2/(A-1)
Ans : B
Question: At a dinner party, 5 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number Q of different possible seating arrangements for the group?
A.5
B.10
C.24
D.32
Answer: C.24
Explanation: Circular arrangements= (n-1)!
Hence (4!) = 24=Q
Answer is C
Question: In a box of 9 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
A.2/9
B.3/10
C.4/11
D.5/12
Answer: D.5/12
Explanation: # defective pens = 3
# good pens = 6
Probability of the 1st pen being good = 6/9
Probability of the 2nd pen being good = 5/8
Total probability = 6/9 * 5/8 = 5/12
The answer is D.
Question: 90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 40% of the total school population of x students, what is x?
A.125
B.150
C.225
D.250
Answer: B.150
Explanation: 90 = (x/100)*(# boys)
# boys = .4x
substitute and solve:
90 = (x/100)*(.4x)
9000 = .4(x^2)
25000 = x^2
x=150
Answer: B
Question: Find the cost of 96 shares of $ 10 each at (3/4) discount, brokerage being (1/4) per share.
A.1012
B.912
C.412
D.812
Answer: B.912
Explanation: Cost of 1 share = $ [(10-(3/4)) + (1/4)] = $ (19/2).
Cost of 96 shares = $ [(19/2)*96] = $ 912.
Answer B.
Question: We define that K@J is the product of j number from k in increasing order for positive integers K, J. For example, 6@4=6*7*8*9. If A=2020and B=2120, what is the value E of the ratio A/B?
A.1/2
B.1/3
C.2/3
D.1/4
Answer: A.1/2
Explanation: E-> A/B=20*21*……*39/21*22*….*39*40=20/40=1/2.
Therefore, the answer is A.
Question: A certain computer manufacturing firm last year produced 80 percent of its computers using parts made by its subsidiary company. If the remaining 10,000 computers were produced using parts purchased from another parts manufacturer, how many computers were produced by the computer manufacturing firm altogether?
A.60000
B.60100
C.60500
D.50000
Answer: D.50000
Explanation: 80% parts used of subsidary company, so 20% parts used of other companies.
Now, 20% parts = 10,000 computers
So, 1% parts = 10,000/20
Or, 100% parts = 50,000 computers.
Hence answer is (D)
Question: A woman has two blouses of different colors, two skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear?
A.6
B.12
C.16
D.17
Answer: A.6
Explanation: total ways = 2*2*2=8..
now its better to find the ways in which the pink blose and green skirty are together and subtract from total to get the answer..
the ways in which the pink blose and green skirty are together=1*1*2=2..
total ways =8-2=6..
A
Question: it cost a colege 0.70 rs a copy to produce for the homecome football game..if 15000rs are recived for advertisement, homw many copies at .50rs a copy must b sold to make a profit 8000rs/-?
A.320000
B.340000
C.250000
D.350000
Answer: D.350000
Explanation: If x copies are to be made, then
0.5x + 15000 = 0.7x+8000
0.2x = 7000
x= 100*7000/2= 350000
ANSWER:D
Question: Darcy lives 1.5 miles from work. She can walk to work at a constant rate of 3 miles per hour, or she can ride the train to work at a constant rate of 20 miles per hour. If she rides the train, there is an additional x minutes spent walking to the nearest train station, waiting for the train, and walking from the final train station to her work. If it takes Darcy a total of 20 more minutes to commute to work by walking than it takes her to commute to work by riding the train, what is the value of x?
A.5.5
B.15
C.25.5
D.30
Answer: A.5.5
Explanation: The time it takes Darcy to walk to work is (1.5/3)*60 = 30 minutes
The time it takes Darcy to take the train is (1.5/20)*60 + x = 4.5 + x minutes
It takes 15 minutes longer to walk, so 30 = 4.5 + x + 20
x=5.5 minutes
Answer: A
Question: 90% of the population of a village is 23040. The total population of the village is ?
A.32256
B.24000
C.24936
D.25600
Answer: D.25600
Explanation: Answer
∵ 90% of P = 23040
∴ P = (23040 x 100) / 90 = 25600
Correct Option: D
Question: A train running at the speed of 60 km/hr crosses a pole in 30 seconds. What is the length of the train?
A.500 m
B.620 m
C.872 m
D.150 m
Answer: A.500 m
Explanation: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train
= (Speed x Time) = (50/3 * 30) m
= 500 m.
Answer: A
Question: A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.241 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
A.12200
B.11897
C.18799
D.10000
Answer: D.10000
Explanation: P(11/10)^4 - P(6/5)^2 = 241
P = 10000
Answer: D
Question: A father was as old as his son's present at the time of your birth. If the father's age is 38 years now, the son's age three years back was?
A.10 years
B.12 years
C.14 years
D.16 years
Answer: D.16 years
Explanation: Let the son's present age be x years. Then, (38 - x) = x
2x = 38.
x = 19.
Son's age 3 years back (19 - 3) = 16 years.
D
Question: A man walks at a speed of 3 km/hr and runs at a speed of 9 km/hr. How much time will the man require to cover a distance of 18 km, if he completes half of the distance, i.e., (9) km on foot and the other half by running?
A.4
B.5
C.6
D.8
Answer: A.4
Explanation: Required time = (9)/3 + (9)/9 = 4 hours.
Answer:A
Question: Raj invested in Indigo, HUL and SBI shares at Rs. 300, Rs. 200 and Rs. 5 per share, 100 shares for Rs. 10000. The number of Indigo and HUL shares he bought are respectively
A.15, 25
B.23, 17
C.17, 23
D.17, 60
Answer: C.17, 23
Explanation: let the number of shares of indigo , hul and sbi be x,y and z respectively.
according to the condition total number of shares are 100 i.e x+y+z=100 and total amount is 10000 i.e
it is equal to the sum of the amounts of x shares of indigo(300 rs) , y shares of hul(200 rs) and z shares of sbi (5 rs) i.e 300x+200y+5z=10000 ........on so;ving the above two equations ,we finally get 295x+195y=9500 (z term is to be cancelled by solving since we only need x(indigo) and y(hul)). by substituting options in the final equation we can check the answers ....i.e x=17 and y= 23
ANSWER:C
Question: A cube of edge 6 cm is cut into cubes each of edge 2 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to:
A.1:9
B.1:225
C.1:52
D.1:522
Answer: A.1:9
Explanation: Sol.
Required ratio = 6 * 2 * 2 / 6 * 6 * 6 = 1/9 = 1:9.
Answer A
Question: X and Y together do a piece of work in 8 days. If X alone can do the same work in 12 days, then Y alone can do the same work in?
A.15 days
B.20 days
C.24 days
D.30 days
Answer: C.24 days
Explanation: B = 1/8-1/2 = 1/24
==>24 days
ANSWER C
Question: A bag of potatoes weighs 39 lbs divided by half of its weight. How much does the bag of potatoes weight?
A.20 lb
B.30 lb
C.10 lb
D.13 lb
Answer: D.13 lb
Explanation: Sol.
39÷3 = 13.
Answer : D
Question: A cuboid of dimension 24cm x 9cm x 8 cm is melted and smaller cubers are of side 3 cm is formed.find how many such cubes can be formed ?
A.64
B.56
C.48
D.40
Answer: A.64
Explanation: Explanation:
Volume of cuboid = (24 x 9 x 8) cm = 1728 cu.cm
Volume of small cube = (3 x 3 x 3) cm = 27 cu.cm
So,
No. of small cubes formed = 1728/27 = 64.
ANSWER IS A
Question: Rahul went to a shop and bought things worth Rs. 25, out of which 42 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A.17.7
B.19.7
C.19.9
D.21.7
Answer: A.17.7
Explanation: Total cost of the items he purchased = Rs.25
Given that out of this Rs.25, 42 Paise is given as tax
=> Total tax incurred = 42 Paise = Rs.42/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (25−30/100−x)6/100 = 42/100
⇒ 6(25 −0.3 −x) = 42
⇒ (25 − 0.3 − x) = 7
⇒ x = 25 − 0.3 − 7 = 17.7
A)