RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: An article costs Rs. 600. What should be the marked price of an article so that after 10% discount, the trader makes 20% profit?
A.Rs. 800
B.Rs. 950
C.Rs. 1100
D.Rs. 1040
Answer: A.Rs. 800
Explanation: Explanation:
Cost price of article = Rs. 600
Profit % = 20%
Therefore,
selling price of article = 120% of C.P.
= (120 / 100) * 600 = Rs. 720
Marked price = ?
Discount % = 10%
S.P. = Rs. 720
90% of M.P. = S.P.
90/100 * M.P. = 720
M.P. = 720 * (100/90) = Rs. 800
ANSWER A
Question: The sum of three integers is 22. The largest integer is 3 times the middle integer, and the smallest integer is 13 less than the largest integer. What is the product of the three integers?
A.130
B.140
C.150
D.160
Answer: C.150
Explanation: Let x be the middle integer. Then the largest is 3x and the smallest is 3x - 13.
3x - 13 + x + 3x = 22
x = 5
The three integers are 2, 5, and 15.
The product is 2*5*15 = 150
The answer is C.
Question: In how many ways can 7 beads can be arranged to form a necklace?
A.360
B.780
C.23
D.10
Answer: A.360
Explanation: Number of arrangements possible
=12(7−1)!=12×6!=12×6×5×4×3×2×1=360
Answer is A
Question: A father left a will of Rs.35 lakhs between his two daughters aged 8.5 and 16 such that they may get equal amounts when each of them reach the age of 21 years. The original amount of Rs.35 lakhs has been instructed to be invested at 10% p.a. simple interest. How much did the elder daughter get at the time of the will?
A.22 lakhs
B.21 lakhs
C.28 lakhs
D.67 lakhs
Answer: B.21 lakhs
Explanation: Explanation:
Let Rs.x be the amount that the elder daughter got at the time of the will. Therefore, the younger daughter got (3,500,000 - x).
The elder daughter’s money earns interest for (21 - 16) = 5 years @ 10% p.a simple interest.
The younger daughter’s money earns interest for (21 - 8.5) = 12.5 years @ 10% p.a simple interest.
As the sum of money that each of the daughters get when they are 21 is the same,
Answer: B) 21 lakhs
Question: The owner of a furniture shop charges his customer 25% more than the cost price. If a customer paid Rs. 8400 for a computer table, then what was the cost price of the computer table?
A.Rs. 5725
B.Rs. 5275
C.Rs. 6275
D.Rs. 6720
Answer: D.Rs. 6720
Explanation: CP = SP * (100/(100 + profit%))
= 8400(100/125) = Rs. 6720.
ANSWER:D
Question: 1,235
1,253
1,325
.....
....
+5,321
The addition problem above shows four of the 24 different integers that can be formed by using each of the digits 1,2,3,5 exactly once in each integer. What is the sum of these 24 integers?
A.73,326
B.78,524
C.84,820
D.89,918
Answer: A.73,326
Explanation: In each of the units, tens, hundreds, and thousands place, each digit will appear 6 times.
Then the sum equals 6(1111)+6(2222)+6(3333)+6(5555) = 73,326
The answer is A.
Question: When Q is divided by N, the quotient is R and the remainder is E. Which of the following expressions is equal to E?
A.RN + Q
B.RN - Q
C.Q - RN
D.QN - R
Answer: C.Q - RN
Explanation: Q/N = R + E/N
Q -RN = E
Amswer: C
Question: A car starts from A for B travelling 20 km an hour.1 1/2 hours later another car starts from A and travelling at the rate of 30 km an hour reaches B 2 1/2 hours before the first car. Find the distance from A to B.
A.280 km
B.260km
C.240km
D.340km
Answer: C.240km
Explanation: Let the distance between A and B be x
The second car stars 1.5 hour later and reaches 2.5 hour early then first car
so the time difference is 4 hours.
Thus, x/20 - x/ 30 = 4
or, x = 240
ANSWER:C
Question: Find the lowest common multiple of 24, 36 and 40.
A.120
B.240
C.360
D.480
Answer: C.360
Explanation: 2 | 24 - 36 - 40
--------------------
2 | 12 - 18 - 20
--------------------
2 | 6 - 9 - 10
-------------------
3 | 3 - 9 - 5
-------------------
| 1 - 3 - 5
L.C.M. = 2 x 2 x 2 x 3 x 3 x 5 = 360.
Answer: Option C
Question: Machine A produces pencils at a constant rate of 9000 pencils per hour, and machine B produces pencils at a constant rate of 7000 pencils per hour. If the two machines to gather must produce 100,000 pencils and if each machine can operate for at most 8 hours, what is the least amount of time Q, in hours, that machine B must operate?
A.4
B.4 2/3
C.5 1/3
D.6
Answer: A.4
Explanation: Machine A produces pencils at a constant rate of 9,000 pencils per hour, and machine B produces pencils at a constant rate of 7,000 pencils per hour. If the two machines together must produce 100,000 pencils and if each machine can operate for at most 8 hours, what is the least amount of time Q, in hours, that machine B must operate?
a) 4
b) 4 and 2/3
c) 5 and 1/3
d) 6
e) 6 and 1/4
To minimize the time that machine B must operate we must maximize the time machine A can operate, so make it operate 8 hours. In 8 hours machine A will produce 8*9,000=72,000 pencils, so 100,000-72,000=28,000 pencils are left to produce, which can be produced by machine B in 28,000/7,000=4 hours.
Answer: A.
Question: A 21 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
A.12
B.6
C.88
D.77
Answer: B.6
Explanation: 1: 2/5 = 5: 2
2/7 * 21 = 6
Answer: B
Question: Each of the 59 members in Peter's school class is required to sign up for a minimum of one and a maximum of three academic clubs. The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 22 students sign up for the poetry club, 27 students for the history club, and 28 students for the writing club. If 6 students sign up for exactly two clubs, how many students sign up for all three clubs?
A.2
B.5
C.6
D.8
Answer: C.6
Explanation: Each of the 59 members in Peter's school class is required to sign up for a minimum of one and a maximum of three academic clubs. Total = G1 + G2 + G3 - (# In exactly 2) - 2*(# in 3 sets)
59 = 22+27+28 - (6) - 2x
so, # In 3 sets = 6=C
Question: A certain no. when divided by 50 leaves a remainder 25, what is the remainder if the same no.be divided by 15?
A.3
B.4
C.5
D.8
Answer: C.5
Explanation: Explanation:
50 + 25 = 75/15 = 5 (Remainder)
C
Question: The bankers discount of a certain sum of money is Rs. 576 and the true discount on the same sum for the same time is Rs. 480. The sum due is:
A.2880
B.2870
C.2860
D.2850
Answer: A.2880
Explanation: Sum = (B.D*T.D)/(B.D-T.D)
(576*480)/576-480;
2880
ANSWER:A
Question: Q is a set of six distinct prime numbers. If the sum of the integers in Q is even and the number x is a member of Q, then what is the least value that x can be?
A.2
B.3
C.4
D.5
Answer: B.3
Explanation: 2 + 3 + 5 + 7 + 11 + 13 = 41 (Discard as sum is ODD)
3 + 5 + 7 + 11 + 13 + 17 = 56 (Sum is even)
Least number = 3
B
Question: Can anyhow help me with an easy solution for this
2, 3, 9, 5, 6, 81, 6, 7, ?
A.256
B.221
C.121
D.144
Answer: C.121
Explanation: 2, 3, 9, 5, 6, 81, 6, 7, ?
2+73=5 and 5-2=3 and 3^2=9
5+6=11 and 11-2=9 and 9^2=81
6+7=13 and 13-2=11 and 11^2=121
ANSWER:C
Question: Can you deduce the pattern and find the next number in the series?
7, 15, 27, 99, __?
A.276
B.277
C.278
D.279
Answer: B.277
Explanation: Solution:
277
Explanation:
7 = (1^1 + 2^1 + 3^1) +1
15 = (1^2 + 2^2 + 3^2) +1
37 = (1^3 + 2^3 + 3^3) +1
99 = (1^4 + 2^4 + 3^4) +1
Thus the next number will be
(1^5 + 2^5 + 3^5) +1 = 277
Answer B
Question: On the blueprint there are 4 line measurements A, B, C, and D. If A:B = .437/.762, B:C = .762/3, C:D = 3/.146, then what is the total measurement for line B:D?
A.3.937
B.1
C.5.219
D.20.547
Answer: C.5.219
Explanation: Solution
A : B = .437 : .762,
B : C = .762 : 3,
C : D = 3 : .146
âˆ´Aâˆ¶Bâˆ¶Câˆ¶D= .437 : .762 : 3 : .146.
Thus, B : D = .762 : .146
Correct Option C
Question: 3 events last together 240 days. Event A last as many seconds as event B in minutes, and event A last as many hours and event C in days. How long does event C last in days?
A.170 days
B.40 days
C.204 days
D.68 days
Answer: D.68 days
Explanation: Let c be C’s duration in days. If b is B’s duration in days, then B lasts 1440b minutes. If a is A’s duration in days, then A lasts 86,400a seconds. Thus,86,400a = 1440bSince A is 24a hours long,24a = cSince A, B and C last together 240 days, a + b + c = 240 days.The above system of 3 equations in 3 unknowns (a, b and c) can be solved as follows:c / 24 + 3600c / 1440 + c = 240 or60c + 3600c +1440c = 345,600 orc = 345,600 / 5100 = 68 daysAnswer = D
Question: In a box, there are 10 red, 6 blue and 5 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green ?
A.4/51
B.10/21
C.7/12
D.5/21
Answer: D.5/21
Explanation: Total number of balls = 10+6+5 = 21
E = event that the ball drawn is neither red nor green
= event that the ball drawn is green
n(E) = 5
P(E) = 5/21
Answer is D
Question: The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of?
A.6:8
B.6:2
C.6:5
D.6:9
Answer: C.6:5
Explanation: 4:5
3:2
-------
12:15:10
12:10
6:5
Answer: C
Question: The average of five numbers is 27. if one number is excluded the average become 25. the excluded number is :
A.25
B.27
C.30
D.35
Answer: D.35
Explanation: Solution
Excluded number = (27 × 5) - (25 × 4) = 135 - 100 =35 . Answer D
Question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
A.19 1/7 days
B.16 1/7 days
C.14 1/7 days
D.17 1/7 days
Answer: D.17 1/7 days
Explanation: 1/30 + 1/40 = 7/120
120/7 = 17 1/7 days
ANSWER:D
Question: The ages of two persons differ by 16 years. If 6 years agao, the elder one be 3 times as old as the younger one, find their present ages.
A.20 years.
B.30 years.
C.40 years.
D.50 years.
Answer: B.30 years.
Explanation: Sol.
Let the age of the younger person be x years.
Then, age of the elder perosn = (x + 16) years.
∴ 3(x - 6) = (x + 16 - 6) ⇔ 3x - 18 = x + 10
⇔ 2x = 28 ⇔ x = 14
Hence, their present ages are 14 years and 30 years.
Answer B
Question: Renu can do a piece of work in 8 days, but with the help of her friend Suma , she can do it in 3 days. In what time Suma can do it alone?
A.4.8
B.1.2
C.4.4
D.4.6
Answer: A.4.8
Explanation: Renuâ€™s one dayâ€™s work = 1/8
Sumaâ€™s one dayâ€™s work = 1/3 - 1/8 = 5/24
Suma can do it alone in 4.8 days.
ANSWER:A
Question: Find the total number of prime factors in the expression (4)^11 x (7)^5 x (11)^2.
A.29
B.27
C.28
D.24
Answer: A.29
Explanation: (4)^11x (7)^5 x (11)^2 = (2 x 2)^11 x (7)^5 x (11)^2 = 2^11 x 2^11 x7^5x 11^2 = 2^22 x 7^5 x11^2
Total number of prime factors = (22 + 5 + 2) = 29.
Answer is A.
Question: Two sides of a triangle have lengths x and t and meet at a right angle. If the perimeter of the triangle is 4x, what is the ratio of x to t ?
A.a) 2 : 3
B.b) 3 : 4
C.c) 4 : 3
D.d) 3 : 2
Answer: B.b) 3 : 4
Explanation: Ahhhh....my bad. Thank you, you're correct. 8x = 6t --> x/t = 3/4.
Actually B is the right answer.
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.2777
B.2888
C.8400
D.2882
Answer: C.8400
Explanation: Ratio of their shares = 22500 : 35000 = 9:14
Deepak's share = 13800 * 14/23 = Rs. 8400.
Answer: C
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 15 minutes. The waste pipe can empty the full cistern in?
A.6
B.8
C.10
D.9
Answer: C.10
Explanation: 1/10 + 1/15 - 1/x = 1/15
x = 10
Answer:C
Question: Factor | Percent of Respondents |
User-friendly | 56% |
Fast response time | 48% |
Bargain prices | 42% |
The table gives three factors to be considered when choosing an Internet service provider and the percent of the 1,300 respondents to a survey who cited that factor as important. If 30 percent of the respondents cited both “user-friendly” and “fast response time,” what is the maximum possible number of respondents who cited “bargain prices,” but neither “user-friendly” nor “fast response time?”
A.312
B.338
C.360
D.384
Answer: B.338
Explanation: The way I looked at is is as follows:
UserFriendly(UF) + FastResponse (FR) = 30%
UF leftover = 56 - 30 = 26%
FR leftover = 48 - 30 = 18%
Sum these = 74% (ie. 74% were either UF+FR, UF, FR)
26% leftover is the maximum number for Bargain Price
26/100 * 1300 = 26 * 13 = 338 (B).
Question: The average age of A and B is 20 years. If C were to replace A, the average would be 19 and if C were to replace B, the average would be 21. What are the age of A, B and C?
A.22, 18, 20
B.20, 20, 18
C.18, 22, 20
D.21, 20, 19
Answer: A.22, 18, 20
Explanation: Given A + B = 40…(i)
C + B = 38 … (ii)
A + C = 42…(iii)
(i) + (ii) + (iii) ⇒ A + B + C = 60 …(iv)
from (i) and (iv), we get
C = 20 years
∴ B = 18 years and A = 22 years
Answer A
Question: The area of a square is equal to three times the area of a rectangle of dimensions 15 cm * 5 cm. What is the perimeter of the square?
A.30
B.80
C.50
D.60
Answer: D.60
Explanation: Area of the square = s * s = 3(15 * 5)
=> s = 15 cm
Perimeter of the square = 4 * 15 = 60 cm.
Answer: Option D
Question: In a 100m race, Sam beats John by 3 seconds. On the contrary, if Sam allowed John to start 24m ahead of Sam, then Sam and John reach the finishing point at the same time. How long does Sam take to run the 100m race?
A.4 seconds
B.25.33 seconds
C.29 seconds
D.21 seconds
Answer: B.25.33 seconds
Explanation: Their difference is 3 second but this difference is 0 if john allows Sam to start the race from 24m ahead . that means Jhon was 24m away from finishing line when they started together . so He will cover 24 m in 3 seconds . so his speed =24/3=8 metre / second . so time taken =100/3=33.33 seconds . so Sam took = 25.33 seconds .
correct answer = B
Question: If two distinct positive divisors of 128 are randomly selected, what is the probability that their sum will be less than 64?
A.2/5
B.5/7
C.9/14
D.15/28
Answer: D.15/28
Explanation: The positive divisors are 1, 2, 4, 8, 16, 32, 64, 128.
If any of the first six are chosen, the sum will be less than 64.
P(sum is less than 64) = 6/8 * 5/7 = 15/28
The answer is D.
Question: 1500 is increased by 20%. Find the final number.
A.1500
B.1800.
C.1900
D.1700
Answer: B.1800.
Explanation: Final number = Initial number + 20%(original number) = 1500 + 20%(1500) = 1500 + 300 = 1800.
Answer B
Question: A fruit drink is made of grapefruit, lemon, and orange juice, where 25 percent of the drink is grapefruit juice and 35 percent is lemon juice. If the drink is made with 20 ounces of orange juice, how many ounces is the drink total?
A. 60
B. 80
C. 50
D. 100
Answer: C. 50
Explanation: Let the total number of ounces in the drink be x
% of orange = 25%
% of watermelon = 35%
% of grape = 100% - 60% = 40%
But this number is given as 20 ounces
so 40% of x = 20 and x = (20)(100/40) = (20)(5/2)
x = 50
Therefore there a total of 50 ounces in the drink.
Correct answer - C
Question: The last time Rahul bought Diwali cards, he found that the four types of cards that he liked were priced Rs.2.00, Rs.3.50, Rs.4.50 and Rs.5.00 each. As Rahul wanted 30 cards, he took five each of two kinds and ten each of the other two, putting down the exact number of 10 rupees notes on the counter payment. How many notes did Rahul give?
A.8
B.9
C.10
D.11
Answer: D.11
Explanation: Explanation :
Let the four cards be a, b ,c and d. 'x' be the number of notes.
Then, according to the question,
=> 5a + 5b + 10c + 10d = 10*x.
=> a + b + 2(c+d) = 2 * x . -----------------------------(i)
Since, a + b = 3.5 + 4.5 = 8 .
And,
=> c + d = 2 + 5 = 7 .
Putting these values in (i), we get :-
=> 8 + 2 * 7 = 2 * x.
=> x = 11 .
Answer : D
Question: In a neighborhood having 90 households, 11 did not have either a car or a bike. If 16 households had a both a car and a bike and 44 had a car, how many had bike only?
A.30
B.35
C.20
D.18
Answer: B.35
Explanation: {Total}={Car}+{Bike}-{Both}+{Neither} --> 90=44+{Bike}-16+11 --> {Bike}=51 --> # those who have bike only is {Bike}-{Both}=51-16=35.
Answer: B.
Question: A wheel that has 8 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 28 revolutions, then the number of revolutions mad by the larger wheel is:
A.15
B.16
C.17
D.14
Answer: B.16
Explanation: B
16
Let the required number of revolutions made by larger wheel be x.
Then, More cogs, Less revolutions (Indirect Proportion)
14 : 8:: 28: x <-> 14 x x = 8 x 28
x = (8x 28)/14
x = 16
Question: Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?
A.2400
B.2888
C.277
D.271
Answer: A.2400
Explanation: First persons investment = x
Second persons investment = x + 1000
Third persons investments = x + 2000
x + x + 1000 + x + 2000 = 9000
3x = 6000
x = 2000
Ratio = 2000 : 3000 : 4000
2:3:4
4/9 * 54000 = 2400
Answer: A
Question: The radius of a cylinder is 12 m, height 21 m. the lateral surface area of the cylinder is:
A.1584
B.1854
C.1458
D.1485
Answer: A.1584
Explanation: Lateral surface area = 2πrh
= 2 × 22/7 × 12 × 21
= 44 × 36
= 1584 m(power2)
Answer is A.
Question: The sum of two consecutive integers is 21. Find the numbers.
A.17, 18
B.7, 8
C.10, 11
D.1, 2
Answer: C.10, 11
Explanation: n + (n + 1) = 21
2n + 1 = 21
2n = 20
n = 10
Answer: C
Question: A scientist was researching into animal behavior in his laboratory. He was very interested in studying the behavior of bears. He travelled a mile to the north and reached the north pole. There he saw a bear. He then followed the bear for an 1 hour to the east with a speed of 2km/hr. After that he travelled south and reached his laboratory in 2 hours. What was the colour of the bear?
A.Black
B.White
C.Red
D.Blue
Answer: B.White
Explanation: This question is based on bear on poles so it should be polo bear and the color of polo bear is white.
ANSWER:B
Question: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
A.1:2
B.1:7
C.1:9
D.1:5
Answer: A.1:2
Explanation: T = 192/32 = 6 h
T = 6 - 3 = 3
Time Ratio = 6:3 = 2:1
Speed Ratio = 1:2
Answer: A
Question: Solve the quickfire maths brain teaser √9% = ?
A.30%
B.40%
C.85%
D.19%
Answer: A.30%
Explanation: A
30%
√9%
=> √9/√100
=> 3/10
=> 30/100
=> 30%
Question: Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Six years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
A.A)24
B.B)48
C.C)67
D.D)56
Answer: B.B)48
Explanation: Let the present ages of Sameer and Anand be 5x years and 4x years respectively.
Then,	(5x + 6/4x + 6)=11/9
9(5x + 6) = 11(4x + 6)
45x + 54 = 44x + 66
45x - 44x = 66 - 54
x = 12.
Anand's present age = 4x = 48 years.
Answer:B
Question: A train covers a distance of 12 km in 12 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
A.177
B.168
C.100
D.120
Answer: C.100
Explanation: Speed = (12/12 * 60) km/hr = (60 * 5/18) m/sec = 16.6 m/sec.
Length of the train = 16.6 * 6 = 100 m.Answer:C
Question: Three rugs have a combined area of 212 square meters. By overlapping the rugs to cover floor area of 140 square meters, the area that is covered by exactly two layers of rug is 24 square meters. What is the area that is covered with three layers of rug ?
A.18 square meters
B.20 square meters
C.24 square meters
D.28 square meters
Answer: C.24 square meters
Explanation: Total = Rug1 + Rug2 + Rug3 - {overlap of exactly 2 rugs} - 2*{overlap of exactly 3 rugs}
140 = 212 - 24 - 2*{overlap of exactly 2 rugs} --> {overlap of exactly 3 rugs} = 24.
Answer: C.
Question: Evaluate 28% of 650 + 45% of 280
A.232
B.308
C.252
D.262
Answer: B.308
Explanation: Explanation:
= (28/100) * 650 + (45/100) * 280
= 182 + 126 = 308
Answer: Option B
Question: A carpenter worked alone for 1 day on a job that would take him 7 more days to finish. He and another carpenter completed the job in 4 more days. How many days would it have taken the second carpenter to do the complete job working alone?
A.16
B.7
C.9
D.14
Answer: A.16
Explanation: A carpenter worked only 1 day on something that takes him 7 MORE days.
Means;
Carpenter finishes his work in 8 days.
Let his buddy finish the same task in x days.
Respective rates per day:
1/8 AND 1/x
To complete 1 work:
First guy worked for 5 days @ rate=1/8 per day.
Second one worked for 4 days @ rate=1/x per day
Expression:
Days*Rate=Work
5*1/8+4*1/x=1
5x+32=8x
2x=32
x=16 days.
Ans:A
Question: How many four letter words are formed using the letters of the word COMPUTER?
A.1680
B.1789
C.1678
D.1899
Answer: A.1680
Explanation: The number of letters in the given word is four.
The number of three letter words that can be formed using these four letters is 8P4
= 8 * 7 * 6 * 5 = 1680.
Answer: A
Question: Sum of two numbers prime to each other is 14 and their L.C.M. is 45. What are the numbers?
A.6 and 5
B.8 and 5
C.9 and 5
D.8 and 5
Answer: C.9 and 5
Explanation: As two numbers are prime,satisfies all
but option C will make the product of numbers i.e 45
ANSWER:C
Question: If a certain manager had received a 5% raise instead of the 8% raise that she actually received, her salary would have been $60,500. What was her actual salary after the raise?
A.55,000
B.58,806
C.59,290
D.62228.52
Answer: D.62228.52
Explanation: No need of getting involved with decimals ..just work in fractions ..
salary(let X) included 5% increase can be written as
(1+5/100)X=60500
X=60500/1.05------>57619.05
if there is 8% rise in 57619.05
then the salary now is 8% of 57619.05
8*57619.05/100=4609.52
then toal salary after increment=57619.05+4609.52----->62228.52
Ans D
Question: How many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth (units digit) is divisible by 4, and the digit 2 can be used only once?
A.20
B.150
C.225
D.300
Answer: C.225
Explanation: 4 options for the first digit: 2, 4, 6, 8;
5 options for the second digit: 1, 3, 5, 7, 9;
4 options for the third digit: 2, 3, 5, 7;
3 options for the fourth digit: 0, 4, 8.
Four digit # possible without the restriction (about the digit 2): 4*5*4*3=240
Numbers with two 2-s, 2X2X 1*5*1*3=15.
Thus there are 240-15=225 such numbers.
Answer: C.
Question: From a pack of 52 cards, 1 card is drawn at random. What is the probability that a king is drawn?
A.1/4
B.4/13
C.1/13
D.3/26
Answer: C.1/13
Explanation: The total number of cards is 52.
The number of kings is 4.
P(king) = 4/52 = 1/13
The answer is C.
Question: The average age of 28 students in a group is 12 years. When teacherâ€™s age is included to it, the average increases by one. What is the teacherâ€™s age in years?
A.31
B.36
C.41
D.51
Answer: C.41
Explanation: Sol.
Age of the teacher = ( 29 Ã— 13 â€“ 28 Ã— 12 ) years = 41 years.
Answer C
Question: In how many Q ways can the letters of the word JUPITER be arranged in a row so that the vowels appear in alphabetic order?
A. 736
B. 768
C. 792
D. 840
Answer: D. 840
Explanation: three letters can be arranged in 3! ways.
only one combination EIU is required.
7 letters can be arranged in 7! ways.
thus Q=7!/ 3! * 1 = 840.
D
Question: The LCM and HCF of two numbers are 100 and 10 respectively. Find the larger of the two numbers if their sum is 110.
A.100
B.12
C.35
D.466
Answer: A.100
Explanation: There are 2 approaches in solving this.
Methode 1.
HCF * LCM = The Actual Number.
100* 10= 1000
So the answer which we are looking for has to be a factor of 1000.
So among the options shortlist the answers by eliminating those numbers which is not divisible by 1000. and then take the highest number as the answer as the question asks abt the highest number.
answer is A