RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A school has 82635 pens to distribute between 9 classes. If split evenly between classes, how many pens would be left over?
A.6
B.4
C.1
D.9
Answer: A.6
Explanation: First add the digits of the total pens. 82635=24. The closest number divisible by 9 is 18. 24-6=18. Therefore 6 pens would need to be removed. Answer A.
Question: For dinner at a restaurant, there are x +1 choices of appetizers, y main courses, and z +1 choices of dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1 dessert for your meal?
A.xyz+xy+yz+y
B.xyz + xz
C.xy + z + 1
D.xyz + 1
Answer: A.xyz+xy+yz+y
Explanation: x appetizers,
y + 1 main courses,
z dessert
Required: 1 appetizer, 1 main course, and 1 dessert
Number of ways possible = yC1*(x+1)C1*(z+1)C1 {NC1 = N! / (N-1)!*1! = N}
Hence, number of ways = y(x+1)(z+1) = (xy + y)(z+1)=xyz+xy+yz+y
Correct Option: A
Question: A local restaurant recently renovated its dining space, purchasing new tables and chairs to use in addition to the original tables and chairs. The new tables each seat six customers, while the original tables each seat four customers. Altogether, the restaurant now has 40 tables and is capable of seating 216 customers. How many more new tables than original tables does the restaurant have?
A.10
B.16
C.24
D.32
Answer: B.16
Explanation: If all the tables seated 4, the number of customers could be 4*40 = 160.
216-160 = 56, so 56/2 = 28 tables must be tables seating 6 people.
The number of tables seating 4 people is 40-28 = 12.
The number of new tables is 28-12 = 16 more than the number of old tables.
The answer is B.
Question: A train running at the speed of 72 km/hr crosses a pole in 9 seconds. Find the length of the train.
A.150 meter
B.286 meter
C.180 meter
D.288 meter
Answer: C.180 meter
Explanation: Speed = 72*(5/18) m/sec
= 20 m/sec
Length of Train (Distance)
= Speed * Time
(20) * 9 = 180 meter
Answer:C
Question: At a constant Rate of flow, it takes 10 minutes to fill a swimming pool if a large hose is used and 15 minutes if a small hose is Used. At these constant rates, how many minutes will it take to fill the pool when both hoses are used simultaneously?
A.6
B.12
C.15
D.25
Answer: A.6
Explanation: time taken to fill the pool by Large Hose =10 minutes =L or 1/L=1/10 similarly 1/S=1/15
simultaneously it will take 1/L+1/S=1/10+1/15=5/30=6 minutes
Answer : A
Question: In how many different ways can the letter of the word 'DEIFY' be arranged in such a way that the vowels occupy the odd positions?
A.45
B.36
C.12
D.24
Answer: C.12
Explanation: In the given word there 5 letters in that there are 2 vowels and 3 consonants
no of ways of arranging the vowels=2p2=2
no of ways of arranging the consonants=3p3=6
total number of ways 6*2=12
Answer(C)
Question: What is the sum of the different positive prime factors of 500?
A.10
B.7
C.15
D.16
Answer: B.7
Explanation: 500
50*10 --> 5*5*2*2*5 --> 5+2=7. Remember its asking for the DIFFERENT positive prime factors of 500.
B
Question: A sum of the money is distributed among A,B,C,D in the proportion of 5:2:4:3. If C gets $1000 more than D, What is B's share?
A.1000
B.1500
C.2500
D.2000
Answer: D.2000
Explanation: Let the share of A,B,C,D be 5x, 2x, 4x, 3x
then 4x-3x = 1000
x=1000
B's share = 2*1000 = $2000
Answer is D
Question: If a = (1/3)b and c = 2a, then which of the following represents the average (arithmetic mean) of a, b, and c, in terms of a ?
A. a + 4
B. 2a
C. 4a
D. (4 1/7)a
Answer: B. 2a
Explanation: Official Answer: B
The average of the three variables isa + b + c/3. However, we need to solve in terms of a, which means we must convert b and c into something in terms of a.
Were told that a =1/3b, which is equivalent to b = 3a. We can plug that in and simplify the average to:a + 3a + c/3
We also know that c = 2a, which we can plug directly into the average expression:
a + 3a + 2a/3
= 6a/3 = 2a, choiceB.
Question: If the sides of a triangle are 17.2 cm, 14 cm and 10 cm, what is its area?
A.60 cm^2
B.70 cm^2
C.80 cm^2
D.85 cm^2
Answer: B.70 cm^2
Explanation: The triangle with sides 17.2 cm, 14 cm and 10 cm is right angled, where the hypotenuse is 17.2 cm.
Area of the triangle
= 1/2 * 14 * 10
= 70 cm^2
Answer: B
Question: A sum of money becomes triple itself in 5 years at simple interest. How many years will it become six times at the same rate?
A.12 1/2 years
B.12 1/7 years
C.12 8/2 years
D.13 1/2 years
Answer: A.12 1/2 years
Explanation: 100 ---- 200 ---- 5
200 ---- 5
100 ---- 2 1/2
------------------
600 ---- 12 1/2 years
Answer: A
Question: In an office in Singapore there are 60% female employees. 50 % of all the male employees are computer literate. If there are total 62% employees computer literate out of total 1600 employees, then the no. of female employees who are computer literate ?
A.690
B.674
C.672
D.960
Answer: C.672
Explanation: Solution: Total employees,
= 1600
Female employees, 60% of 1600.
= (60 *1600) /100 = 960.
Then male employees,
= 640
50 % of male are computer literate,
= 320 male computer literate.
62 % of total employees are computer literate,
= (62 *1600) /100 = 992 computer literate.
Thus, Female computer literate = 992 - 320
= 672.
Answer: Option C
Question: A man can row 10 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
A.5.02
B.4.92
C.4.82
D.4.72
Answer: B.4.92
Explanation: M = 10
S = 1.2
DS = 10 + 1.2 = 11.2
US = 10 - 1.2 = 8.8
x/11.2 + x/8.8 = 1
x = 4.92.Answer: B
Question: A car is traveling 68 kilometers per hour. How many meters does the car travel in one minute?
A.1250m/min
B.1133.33m/min
C.2560m/min
D.1670m/min
Answer: B.1133.33m/min
Explanation: Convert hour into minutes ( 1 hour = 60 minutes) and kilometers into meters (1 km = 1000 m) and simplify
68 kilometers per hour = 68 km/hr
= (68 × 1000 meters) / (60 minutes) = 1,133.33 meters / minute
correct answer is B)1133.33m/min
Question: what should be the length of rope which is tied to one end to cow and other end to holder.so,that cow can graze 9856 sq.m?
A.56 m
B.64 m
C.88 m
D.168 m
Answer: A.56 m
Explanation: πr^2=9856
r^2=[7/22*9856]=[448*7]=[64*49]=[8*7]^2=56^2
r=56 m
answer A
Question: Which of the following is equal to 2(1/5)%?
A.0.012/100
B.0.12/100
C.2.2/100
D.12/100
Answer: C.2.2/100
Explanation: This notation may be confusing for some, since it looks like we're multiplying 2 and 1/5
How about adding a space:Which of the following is equal to (2 1/5)%
(2 1/5)% = 2.2% = 2.2/100
Answer:
C
Question: If 3/p=5 & 3/q=15 then p-q=?
A.5/24
B.6/24
C.2/15
D.8/24
Answer: C.2/15
Explanation: p=3/5 , q=3/15=>q=1/5
therefore
p-q=(3/5)-(1/5)=2/15
ANSWER:C
Question: An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 6 businessmen, how many possible team submissions are possible?
A.76
B.100
C.162
D.198
Answer: B.100
Explanation: We have 3 scenarios here:
1) 1 tech2 businessmen: 4C1 x 6C2 = 60
2) 2 tech1 businessman: 4C2 x 6C1 = 36
3) 3 tech0 businessmen: 4C3 = 4
Total: 60+36+4 = 100
Answer: B
Question: After allowing a discount of 15% on the marked price, the selling price is Rs. 6800 for an article. If it was sold at marked price, there would have been a profit of 60%. The cost price of the article is?
A.2999
B.1689
C.5000
D.2789
Answer: C.5000
Explanation: Given SP = Rs. 6800
Marked price = [SP(100)]/(100 - d%) = (6800 * 100)/(100 - 15)
= Rs. 8000
If SP = Rs. 8000, profit = 60%
CP = [SP(100)]/(100 + 60) = (8000 * 100)/160
= Rs.5000
Answer: C
Question: A bowl was filled with 100 ounces of milk, and 0.004 ounce of the milk evaporated each day during a 90-day period. What percent of the original amount of milk evaporated during this period?
A.A)0.0036%
B.B)0.36%
C.C)3.6%
D.D)36%
Answer: B.B)0.36%
Explanation: Total amount of milk evaporated each day during a 90-day period = .004 * 90
= .36
percent of the original amount of milk evaporated during this period = (0.36/100) * 100%
= 0.36 %
Answer B
Question: what is the next no. 4 12 84
A.632
B.732
C.832
D.850
Answer: B.732
Explanation: 3^0 + 3 = 4
3^2 + 3 = 12
3^4 + 3 = 84
3^6 + 3 = 732
ANSWER:B
Question: There are 12 slate rocks, 17 pumice rocks, and 8 granite rocks randomly distributed in a certain field. If 2 rocks are chosen at random and without replacement, what is the probability that both rocks will be slate rocks?
A.5/36
B.7/64
C.9/83
D.11/111
Answer: D.11/111
Explanation: 12/37*11/36 = 11/111
The answer is D.
Question: what is the remainder when 46! is divided by 47
A.46
B.47
C.45
D.44
Answer: A.46
Explanation: when 2!/3 remainder is 2
4!/5 remainder is 4
6!/7 remainder is 6
so when the number is prime in the divisor then the remainder is (no.-1)
46 will be the remainder
ANSWER:A
Question: A BAG CONTAINS 6 WHITE AND 4 BLACK BALLS .2 BALLS ARE DRAWN AT RANDOM. FIND THE PROBABILITY THAT THEY ARE OF SAME COLOUR.
A.4/78
B.7/15
C.15/7
D.5/8
Answer: B.7/15
Explanation: LET S BE THE SAMPLE SPACE
THEN N(S)=NO OF WAYS OF DRAWING 2 BALLS OUT OF (6+4)=10C2=(10*9)/(2*1)=45
LET E=EVENT OF GETTING BOTH BALLS OF SAME COLOUR
THEN N(E)=NO OF WAYS(2 BALLS OUT OF SIX) OR(2 BALLS OUT OF 4)
=(6C2+4C2)=(6*5)/(2*1)+(4*3)/(2*1)=15+6=21
P(E)=N(E)/N(S)=21/45=7/15
Ans: B
Question: 21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
A.7/41
B.3/41
C.9/42
D.4/51
Answer: C.9/42
Explanation: The probability that first toy shows the even number,
=1021=1021
Since, the toy is not replaced there are now 9 even numbered toys and total 20 toys left.
Hence, probability that second toy shows the even number,
=920=920
Required probability,
=(1021)×(920)=(1021)×(920)
=9/42
C
Question: A train 300 m long can cross an electric pole in 15 sec and then find the speed of the train?
A.65 Kmph
B.70 Kmph
C.72Kmph
D.75 Kmph
Answer: C.72Kmph
Explanation: Length = Speed * time
Speed = L/T
S = 300/15
S = 20 M/Sec
Speed= 20*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 72 Kmph
ANSWER:C
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?
A.55
B.60
C.64
D.59
Answer: C.64
Explanation: Ans.(C)
Sol. In this case, repetitions are allowed, so all the three prizes can be given in 4 ways, i.e. (4 x 4 x 4) ways = 43 ways = 64 ways Or nr ways = 43 ways = 64 ways
Question: If 3 and 5 are prime numbers, which of the following CANNOT be the sum of 3 and 5?
A.9
B.11
C.13
D.8
Answer: A.9
Explanation: ans : A
Question: At a certain university, the ratio of the number of teaching assistants to the number of students in any course must always be greater than 3:85. At this university, what is the maximum number of students possible in a course that has 4 teaching assistants?
A.111
B.112
C.113
D.114
Answer: C.113
Explanation: (4/3)*85=113 plus remainder
The answer is C.
Question: In 2005, 30 percent of the math department’s 40 students were female, and in 2007, 40 percent of the math department’s 65 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department?
A.15%
B.116%
C.136%
D.155%
Answer: B.116%
Explanation: Female students in 2005 = 30% of 40 = 12
Female students in 2007 = 40% of 65 = 26
Percentage increase = [(26 - 12)/12] *100 % = 116%
Correct Option: B
Question: 7^6n -1^ 6n When n is an integer > 0 is divisible by
A.119
B.127
C.131
D.132
Answer: B.127
Explanation: 127
B
Question: How many different ways can 2 students be seated in a row of 7 desks, so that there is always at least one empty desk between the students?
A. 2
B. 3
C. 30
D. 6
Answer: C. 30
Explanation: 15 ways to seat the students:
with two empty seats between
1 empty w/ one student on the left most
1 empty....right most
two students can be interchanged
15x2=30
C
Question: A 300 m long train crosses a platform in 54 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
A.287
B.350
C.600
D.277
Answer: C.600
Explanation: Speed = 300/18 = 50/3 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/54 = 50/3
3x + 900 = 2700 => x = 600 m.
Answer: C
Question: What is the largest number of four digits which is divisible by 15, 25, 40 and 75 ?
A.9600
B.5200
C.362
D.958
Answer: A.9600
Explanation: Explanation:
Largest number of four digits = 9999
LCM of 15, 25, 40 and 75 = 600
9999 ÷ 600 = 16, remainder = 399
Hence,Largest number of four digits which is divisible by 15, 25, 40 and 75
= 9999 - 399 = 9600
Answer:A
Question: If x+y=20, x-y=10, for integers of x and y, x=?
A.15
B.20
C.25
D.13
Answer: A.15
Explanation: x+y =20
x-y = 10
2x = 30
x = 15
Answer is A
Question: What is the difference between the largest number and the least number written with the figures 3, 4, 7, 0, 3?
A.94983
B.49198
C.43983
D.41288
Answer: C.43983
Explanation: Explanation:
74330 Largest
30347 Smallest
-------------
43983
Answer: C
Question: Mary's income is 60% more Than Tim's income and Tim's income is 10% less than Juan's income.What % of Juan's income is Mary's income.
A.144%
B.B.120%
C.96%
D.80%
Answer: A.144%
Explanation: Even I got 96%
J = 100
T = 100*0.9 = 90
M = 90*1.6 = 144
If Mary's income is x percent of J
M = J*x/100
x = M*100/J = 144*100/100 = 144
Ans:A
Question: Find large number from below question The difference of two numbers is 1500. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
A.1797
B.1250
C.1540
D.1600
Answer: A.1797
Explanation: Let the smaller number be x. Then larger number = (x + 1365).
x + 1500= 6x + 15
5x = 1485
x = 297
Large number = 297+1365 = 1797
A
Question: Based on this year's costs, an orchard grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 30% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be
A.23% less than N
B.25% less than N
C.equal to N
D.20% greater than N
Answer: A.23% less than N
Explanation: Correct answer is (A).
This year, the price of a tree is price1=P/N.
If this price increases by 30% it becomes price2=P/N*1.30
Then with P dollars, you can grow P/price2 tress i.e. P/(P/N*1.30) i.e. N/1.30 i.e. 77%
Question: If the price has fallen by 16% what percent of its consumption be: increased so that the expenditure may be the same as before?
A.11 1/8%
B.11 1/5%
C.11 1/9%
D.19 1/21%
Answer: D.19 1/21%
Explanation: 100 â€“ 16 = 84
84------16
100------? => 19 1/21%
Answer: D
Question: A farmer with 1,350 acres of land had planted his fields with corn, sugar cane, and tobacco in the ratio of 5:2:2, respectively, but he wanted to make more money, so he shifted the ratio to 2:4:3, respectively. How many more acres of land were planted with tobacco under the new system?
A.90
B.150
C.270
D.300
Answer: B.150
Explanation: Originally (2/9)*1350 = 300 acres were planted with tobacco.
In the new system (3/9)*1350 = 450 acres were planted with tobacco.
The answer is B.
Question: From 6 positive numbers and 7 negative numbers, how many groups of 4 numbers, yielding a positive product, can be formed?
A.720
B.625
C.230
D.365
Answer: D.365
Explanation: The number of ways to choose 4 positive numbers is 6C4 = 15.
The number of ways to choose 4 negative numbers is 7C4 = 35.
The number of ways to choose 2 positive and 2 negative is 6C2*7C2 = 15*21 = 315.
The total number of groups is 15+35+315 = 365.
The answer is D.
Question: Find the unit's digit in 264^102+264^103
A.0
B.1
C.3
D.7
Answer: A.0
Explanation: Required unit's digit = unit's digit in 4102+4103.4102+4103.
Now, 4242 gives unit digit 6.
⇒ 41024102 gives unit digit 6.
⇒ 41034103 gives unit digit of the product 6×46×4 i.e., 4.
Hence, unit's digit in 264102+264103264102+264103
= unit's digit in (6+4)=0
A
Question: Two isosceles Triangles have equal vertical angles and their areas are in the ratio 25:49. Find the ratio of their corresponding heights .
A. 4/5
B. 5/4
C. 3/2
D. 5/7
Answer: D. 5/7
Explanation: We are basically given that the triangles are similar.
In two similar triangles, the ratio of their areas is the square of the ratio of their sides and also, the square of the ratio of their corresponding heights.
Therefore, area/AREA=height^2/HEIGHT^2=25/49 --> height/HEIGHT=5/7.
Answer: D.
Question: Find the fourth proportion to 5,10,85
A.180
B.120
C.170
D.75
Answer: C.170
Explanation: Explanation:
5:10 :: 85:x
=> 5/10 = 85/x
=> x = 850/5
=> x = 170
Option C
Question: If a - b = 3 and a^2 + b^2 = 31, find the value of ab.
A.12
B.15
C.10
D.11
Answer: D.11
Explanation: 2ab = (a^2 + b^2) - (a - b)^2
= 31 - 9 = 22
ab = 11.
Answer is D.
Question: Look at this series: 30, 27, 32, 29, 34, 31, ... What number should come next?
A.30
B.36
C.38
D.42
Answer: B.36
Explanation: Explanation:
In this simple alternating subtraction and addition series; 3 is subtracted, then 5 is added, and so on.
Answer: Option B
Question: Find the area of a rectangular field if John walking at the speed of 48m/min took 20 seconds to cross the field diagonally and Harry walking at a speed of 72m /min took 15 seconds to cross the field along its sides.
A.64
B.144
C.34
D.35
Answer: C.34
Explanation: SOLUTION :
The length of the diagonal = speed of John * time = (48/60)*20 = 16m
Sum of the adjacent sides of the field = speed of Harry * time = (72/60)*15 = 18m
Area of the field = (182 - 162) / 2 = 34m2
ANSWER IS C
Question: A boy wants to go abroad by boat and return by flight. He has a choice of 4 different boat to go and 8 flight to return. In how many ways, can the boy perform his journey?
A.20
B.32
C.43
D.45
Answer: B.32
Explanation: Ans.(B)
Sol. Number of choices to go by ship = 4 Number of choices to return by airline = 8 From, fundamental principle, total number of ways of performing the journey = 4 x 8 = 32 ways
Question: Of the 60 pizzas a being ordered, 25% are pepperoni. How many many cheese pizzas must be changed to pepperoni in order to bring the number of pepperoni pizzas up to 50 percent of the pizzas?
A.25
B.30
C.20
D.15
Answer: D.15
Explanation: Now, there are 15 smokers (15% of 60) and 60-15=45 non-smokers at a party. We need there to be 30 cheese and 30 pepperoni pizzas, in this case there will be 50% cheese and 50% pepperoni.
Therefore 45-30=15 cheese must be changed to pepperoni pizza.
Answer: D.
Question: When positive integer n is divided by 2, the remainder is 2. When n is divided by 7, the remainder is 5. How many values less than 100 can n take?
A. 0
B. 2
C. 3
D. 4
Answer: C. 3
Explanation: a quick approac to this Q is..
the equation we can form is.. 3x+2=7y+5..
3x-3=7y... 3(x-1)=7y...
so (x-1) has to be a multiple of 7 as y then will take values of multiple of 3..
here we can see x can be 1,8,15,22,29 so 5 values till 100 is reached
as (29-1)*3=84 and next multiple of 7 will be 84+21>100..
ans 5.. C
Question: A grocer has a sales of Euro 520, Euro 628, Euro 525, Euro 600 and Euro 800 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Euro 700?
A.uro 1691
B.uro 1127
C.uro 3591
D.uro 7791
Answer: B.uro 1127
Explanation: B
Euro 1127
Total sale for 5 months = Euro (520 + 628 + 525 + 600 + 800) = Euro 3073.
Required sale = Euro [ (700x 6) - 3073]
= Euro (4200- 3073)
= Euro 1127.
Answer is B
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.635.5
B.635.57
C.635.87
D.635.59
Answer: A.635.5
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
Question: If the price of petrol is increased by 20% and subsequently by 40%. If the original price was Rs25 per litre then what is then the final price per litre?
A.42
B.45
C.48
D.40
Answer: A.42
Explanation: Answer
Final Price = 25 x (1 + 20/100) x (1 + 40/100)
=Rs.25 x 1.2 x 1.4
= Rs. 42
Correct Option: A
Question: The tax on a commodity is diminished by 22% but its consumption is increased by 9%. Find the decrease percent in the revenue derived from it?
A.20%
B.18%
C.15%
D.12%
Answer: C.15%
Explanation: 100 * 100 = 10000
78 * 109 = 8502
10000------- 1200
100 ------- ? = 15%
ANSWER:C
Question: At present, the ratio between the ages of Arun and Deepak is 4:6. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?
A.17 years
B.30 years
C.18 years
D.22 years
Answer: B.30 years
Explanation: Let the present ages of Arun and Deepak be 4x and 6x years respectively.
Then, 4x + 6 = 26 => x
= 5
Deepak's age
= 6x
= 30 years.
Answer:B
Question: A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?
A.227
B.188
C.100
D.988
Answer: C.100
Explanation: MP = 100
CP = 75
SP = 150
------
75 ---- 75
100 ---- ? => 100%
Answer:C
Question: A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
A.270
B.288
C.1266
D.299
Answer: A.270
Explanation: 12*8 :16*9 = 18*6
8: 12: 9
9/29 * 870 = 270
Answer: A
Question: Out of first 40 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?
A.11/40
B.17/29
C.17/40
D.31/40
Answer: D.31/40
Explanation: n(S) = 40
n(Even no) = 20 = n(E)
n(Prime no) = 12 = n(P)
P(EᴜP)
= 20/40 + 12/40 - 1/40
= 31/40
Answer:D
Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
A.2277
B.3000
C.2682
D.7222
Answer: B.3000
Explanation: 60*5:36*6:75*3
100: 72: 75
100/247 * 7410 = 3000
Answer:B
Question: Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1330, how much does he invest in 12% stock at Rs. 120?
A.s. 4000
B.s. 4500
C.s. 5500
D.s. 6000
Answer: C.s. 5500
Explanation: Let investment in 12% stock be Rs. x.
Then, investment in 15% stock = Rs. (12000 - x).
12/120 * x + 15/125 * (12000- x) = 1330
x/10 + 3/25(12000-x) = 1330
5x + 72000 - 6x = 1330 x 50
x = 5500.
Answer = C
Question: if x:y = 1:3, then find the value of
(7x+3y):(2x+y)
A.14:5
B.15:5
C.16:5
D.17:5
Answer: C.16:5
Explanation: Explanation:
let x = 1k and y = 3k,
so
=7(k)+3(3k)/2(k)+1(3k)
=16k/5k
=16:5
ANSWER IS C
Question: Which of the following numbers should not be included in the set?
331, 482, 551, 263, 382, 242, 111
A.263
B.382
C.242
D.111
Answer: B.382
Explanation: Solution
In each number except 382,the product of first and third digits is the middle one. Answer B
Question: Combine terms: 15a + 26b -4b – 16a.
A.4a + 22b
B.-28a + 30b
C.-a + 22b
D.28a + 30b
Answer: C.-a + 22b
Explanation: Solution:
15a + 26b -4b – 16a.
= 15a – 16a + 26b – 4b.
= -a + 22b.
Answer: (C)
Question: Find out the number of ways in which 6 rings of different types can be worn in 3 fingers?
A.541
B.729
C.174
D.189
Answer: B.729
Explanation: The first ring can be worn in any of the 3 fingers (3 ways).
Similarly each of the remaining 5 rings also can be worn in 3 ways.
Hence total number of ways
=3×3×3×3×3×3=36=729
ANSWER B 729
Question: A retailer purchases pants from a wholesaler and then sells the pants in his store at a retail price that is 50 percent greater than the wholesale price. If the retailer decreases the retail price by 20 percent this will have the same effect as increasing the wholesale price by what percent?
A.26
B.20
C.42
D.44
Answer: B.20
Explanation: Answer: B= 20.
Assume Rs. 100 to be the price at which the retailer buys from wholesaler.
50% increase makes Retail price = 150.
Now 20% decrease -> (1-20/100) * 150 = 120.
Now compared to the wholesale price of 100, 20% increase is what will have the same effect as increasing the wholesale price.
Question: If c≠d and c·d≠0, which of the following may be true?
A.c.d =0
B.c-d=0
C.c+d=2
D.(c+d)(c-d)=0
Answer: D.(c+d)(c-d)=0
Explanation: except D all conditions are not as per question
D