RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Which of the following expressions CANNOT have a negative value
A.|a + b| – |a – b|
B.|a + b| – |a|
C.|2a + b| + |a + b|
D.a^2 - b^2 – 2|ab|
Answer: C.|2a + b| + |a + b|
Explanation: Whenever you are required to find if the equation is a perfect square or not, try to bring everything in the form of a perfect square as they are always positive.
Of the given options, only option D can be written in from of a perfect square.
|2a + b| + |a + b|
This will always be positive.
Correct Option: C
Question: The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:
A.3500
B.4000
C.4050
D.5000
Answer: B.4000
Explanation: EXPLANATION
Let P, Q and R represent their respective monthly incomes. Then, we have:
P + Q = (5050 x 2) = 10100 …. (i)
Q + R = (6250 x 2) = 12500 …. (ii)
P + R = (5200 x 2) = 10400 …. (iii)
Adding (i), (ii) and (iii), we get: 2(P + Q + R) = 33000 or P + Q + R = 16500 …. (iv)
Subtracting (ii) from (iv), we get P = 4000.
P’s monthly income = Rs. 4000.
Answer B
Question: P can do a work in 24 days. Q can do the samework in 9 days & R can do the same work in 12 days. Q & R start the work and leave after 3 days. P finishes the remaining work in how many days.
A.8
B.10
C.14
D.16
Answer: B.10
Explanation: Work done by P in 1 day = 1/24
Work done by Q in 1 day = 1/9
Work done by R in 1 day = 1/12
Work done by Q and R in 1 day = 1/9 + 1/12 = 7/36
Work done by Q and R in 3 days = 3×7/36 = 7/12
Remaining work = 1 – 7/12 = 5/12
Number of days in which P can finish the remaining work = (5/12) / (1/24) = 10
B
Question: Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
A.18 sec
B.70 sec
C.21 sec
D.20 sec
Answer: D.20 sec
Explanation: Relative speed = (42 + 30) * 5/18 = 4 * 5
= 20 mps.
Distance covered in passing each other
= 120 + 280 = 400 m.
The time required = d/s
= 400/20
= 20 sec.
Answer: D
Question: 4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 10 mat-weavers in 10 days?
A.25
B.19
C.39
D.61
Answer: A.25
Explanation: Let the required number of bottles be x.
More weavers, More mats (Direct Proportion)
More days, More mats (Direct Proportion)
Wavers	4	:	10 :: 4 : x
Days	4:10
4 * 4 * x = 10 * 10 * 4
x =	(10 * 10 * 4)/(4 x 4)
x = 25.
Answer is A.
Question: A grocer wants to arrange 13 fruits in a line among which 3 are mangoes, 4 are apples, 2 are oranges, 1 pineapple and remaining are guavas. In how many different ways can he do so, if fruits of one kind are identical?
A.13!/{(2!)(3!^2)(4!)}
B.13!/{(2!)(3!^2)}
C.13!/{(2!)(4!)}
D.13!
Answer: A.13!/{(2!)(3!^2)(4!)}
Explanation: The total number of ways in which a total N items, out of which p are identical of one type, q are identical of another type and rest are different, can be arranged in a line is N!/{p!q!}
Here we have 13 fruits out of which there are 3 alike mangoes, 4 alike apples, 2 alike oranges, 3 alike guavas and 1 pineapple.
Hence the number of ways in which he can arrange these in a line are 13!/(3!4!2!3!) = 13!/{(2!)(3!^2)(4!)}
Ans A
Question: In how many ways 6 persons can be formed from 8 men and 7 women?
A.5005
B.6452
C.4516
D.2313
Answer: A.5005
Explanation: Total number of persons = 15
Required number of ways = 15C6 = 5005
Answer is A
Question: If x = 4 and y = −2, what is the value of (x − 2y)^y?
A.−100
B.0.015
C.0.25
D.4
Answer: B.0.015
Explanation: Quickly we can spot that answer is neither integer nor negative. Eliminate A, DE
by inversing and squaring 0.015
Answer: B
Question: At a certain college there are twice as many Economics majors as history majors and three times as many Economics majors as mathematics majors. What is the ratio of the number of history majors to the number of mathematics majors?
A.6 to 1
B.6 to 4
C.2 to 3
D.1 to 5
Answer: B.6 to 4
Explanation: This is how I translated the question:
At a certain college there are twice as many economics majors as history majors
E = 2H
and three times as many economics majors as mathematics majors.
E = 3M
What is the ratio of the number of history majors to the number of mathematics majors?
What is H:M?
Just set E equal to each other to get the ratio in terms of H and M.
2H = 3M
H/M = 3/2
The answer is 6:4
Answer : B
Question: Simplify: 6005-6000+10
A.4505
B.4509
C.5405
D.4508
Answer: C.5405
Explanation: 6005-6000+10
=6005-(6000/10)
=6005-600
=5405.
Answer is C
Question: The total age of A and B is 16 years more than the total age of B and C. C is how many year younger than A
A.A)11
B.B)12
C.C)13
D.D)16
Answer: D.D)16
Explanation: Explanation:
Given that A+B = 16 + B + C
=> A – C = 16 + B – B = 16
=> C is younger than A by 16 years
Answer: Option D
Question: If selling price of 12 pens is equal to the cost price of 18 pens, find the profit percent.
A.40%
B.33.3%
C.50%
D.25%
Answer: C.50%
Explanation: Explanation:
Selling price of 12 pens = cost price of 18 pens
Therefore, the profit is 6 pens and cost price is 12 pens.
% profit = profit/cost price * 100
= 6/12 * 100
= 50%
ANSWER C
Question: Eggs are sold in packages of six or eleven only. If Doris bought 70 eggs exactly, what could be the number of large packs Doris bought?
A.6.
B.2.
C.3
D.5.
Answer: B.2.
Explanation: Let number of packs of six = s
let number of packs of eleven = e
6s + 11e = 70
Now , we need to test for values of e .
Since sum 70 is even and 6s will always be even , e can't be odd .
Now , we can test for values e = 2 , 4 and 6
11*2 + 6*8 = 22 + 48 = 70
Answer B
Question: If p and q are positive integers each greater than 1, and 17(p+1)=25(q+1), what is the least possible value of p+q?
A.36
B.42
C.40
D.46
Answer: C.40
Explanation: 17(p+1)=29(q+1) --> (p+1)/(q+1) = 29/17 --> the least positive value of p+1 is 25, so the least value of p is 24 and the least positive value of q+1 is 17, so the least value of q is 16 --> the least value of p+q is 24+16=40.
Answer: C.
Question: In case N is the only individual sewing on committee B, which among the following shouldserve on committee A?
A.V and U
B.V and T
C.U and S
D.O and P
Answer: D.O and P
Explanation: O and P should serve on A
ANSWER:D
Question: What percent is 350 gm of 1 kg?
A.25%
B.40%
C.35%
D.8%
Answer: C.35%
Explanation: 1 kg = 1000 gm
350/1000 Ã— 100 = 35000/1000
=35 %
Answer is C
Question: If in a certain sequence of consecutive multiples of 100, the median is 650, and the greatest term is 1000, how many terms that are smaller than 650 are there in the sequence?
A.6
B.4
C.8
D.12
Answer: B.4
Explanation: Since the median is 650 we know there must be a even number of integers
So the list around 625 must go. 600 ( 650) 700 800 900 1000
Since we know there are 4 numbers greater than 650 then there must be 4 numbers less then 650.
B
Question: Three bodies D, E and F start moving around a circular track of length 240m from the same point simultaneously in the same direction at speeds of 6 m/s, 10 m/s and 18 m/s respectively. When will they meet for the first time after they started moving?
A.120 seconds
B.60 seconds
C.30 seconds
D.20 seconds
Answer: B.60 seconds
Explanation: If they all meet after T seconds, it means they covered the distances 6T, 10T, and 18T respectively.
Since they all arrive to the same spot, it means that the differences taken pairwise between the distances must be positive integer multiples of the length of the track, which is 240m. So, 4T, 8T, and 12T must all be multiples of 240. 4T multiple of 240 means T multiple of 60. The smallest T with this property is 60 and is on the list of answers.
Answer B.
Question: If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 7 kmph, then the speed of the boat in still water is :
A.2.5 km/hr
B.4.5 km/hr
C.5 km/hr
D.10.5 km/hr
Answer: B.4.5 km/hr
Explanation: Solution
Speed of stream = 1/2 (17-8) km/hr= 4.5kmph . Answer B
Question: A trader sells 80 meters of cloth for Rs. 9000 at the profit of Rs. 23.5 per metre of cloth. What is the cost price of one metre of cloth?
A.22
B.89
C.90
D.78
Answer: B.89
Explanation: SP of 1m of cloth = 9000/80 = Rs. 112.5
CP of 1m of cloth = SP of 1m of cloth - profit on 1m of cloth
= Rs. 112.5 - Rs. 23.5 = Rs. 89.
Answer: B
Question: A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?
A.10.39
B.10.36
C.10.3
D.10.33
Answer: C.10.3
Explanation: D = 70 * 1 ½ = 105 km
RS = 85 – 70 = 15
T = 105/15 = 7 h
3.30 + 7 h = 10.30 p.m.
Answer: C
Question: 55 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be :
A.84 m
B.88 m
C.120 m
D.70 m
Answer: D.70 m
Explanation: Sol.
Let the length of the wire b h.
Radius = 1/2 mm = 1/20 cm. Then,
22/7 * 1/20 * 1/20 * h = 55 ⇔ = [55 * 20 * 20 * 7 / 22] = 7000cm = 70 m.
Answer D
Question: What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?
A.1245
B.1683
C.1773
D.1650
Answer: B.1683
Explanation: Explanation:
LCM of 5, 6, 7 and 8 = 840
Hence the number can be written in the form (840k + 3) which is divisible by 9.
If k = 1, number = (840 × 1) + 3 = 843 which is not divisible by 9.
If k = 2, number = (840 × 2) + 3 = 1683 which is divisible by 9.
Hence 1683 is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder.
Answer: Option B
Question: Solve 2x – 5 = 1
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: Sol.
2x – 5 = 1
=> 2x = 1 + 5
=> 2x = 6
=> x = 3.
Answer : C
Question: A room is 4 meters 37 cm long and 3 meters 23cm broad. It is required to pave the floor with minimum square slabs. Find the number of slabs required for this purpose?
A.485
B.431
C.391
D.381
Answer: C.391
Explanation: HCF of 323, 437 = 19
323 * 437 = 19 * 19 * x
x = 391
ANSWER:C
Question: The guidelines at a certain college specify that for the introductory English class, the professor may choose one of six specified novels, and choose two plays from a list of 5 specified plays. Thus, the reading list for this introductory class has one novel and two plays. How many different reading lists could a professor create within these parameters?
A.50
B.55
C.60
D.65
Answer: C.60
Explanation: 6C1*5C2 = 6*10 = 60
The answer is C.
Question: A certain clock marks every hour by striking a number of times equal to the hour,and the time required for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stroke and the end of the last stroke is 55 seconds. at 12:00 ,how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
A.A.72
B.B.115
C.C.48
D.D.46
Answer: B.B.115
Explanation: At 6:00 it'll chime 6 times. If we assume that the time taken to chime is x, then time between chimes is also x. So you have 6 chimes, which is 6x and 5 time intervals between chimes. This means that 11x = 55 seconds. Thus x = 5 seconds.
By a similar logic, at 12:00, there are 12 chimes and 11 intervals so the total time is (12+11)x = 23x = 115 seconds.
Answer B
Question: The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
A.7m
B.8m
C.3m
D.2m
Answer: D.2m
Explanation: Let the sides of the rectangle be l and b respectively.
From the given data,
(√l2 + b2) = (1 + 108 1/3 %)lb
=> l2 + b2 = (1 + 325/3 * 1/100)lb
= (1 + 13/12)lb
= 25/12 lb
=> (l2 + b2)/lb = 25/12
12(l2 + b2) = 25lb
Adding 24lb on both sides
12l2 + 12b2 + 24lb = 49lb
12(l2 + b2 + 2lb) = 49lb
but 2(l + b) = 28 => l + b = 14
12(l + b)2 = 49lb
=> 12(14)2 = 49lb
=> lb = 48
Since l + b = 14, l = 8 and b = 6
l - b = 8 - 6 = 2m.
Answer: D
Question: A car mechanic purchased four old cars for Rs. 1 lakh. He spent total 2 lakh in the maintenance and repairing of these four cars. what is the average sale price of the rest three cars to get 70% total profit if he has already sold one of the four cars at Rs. 1.2 lakh?
A.1.8 lakh
B.1.3 lakh
C.1.9 lakh
D.8.1 lakh
Answer: B.1.3 lakh
Explanation: Explanation:
Total cost of 4 cars = 1+2 = 3 lakh
Total SP of 4 cars = 3 x 1.7 = 5.1 lakh
SP of 1 car = 1.2 lakh
SP of rest 3 cars = 5.1 - 1.2 = 3.9 lakh
Average SP of all the 3 cars = 1.3 lakh
Answer: B)
Question: A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 12% microphotonics; 24% home electronics; 15% food additives; 29% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
A.43°
B.10°
C.18°
D.36°
Answer: A.43°
Explanation: Here all percentage when summed we need to get 100% . As per data 12+24+15+29+8 = 88%.
So remaining 12% is the balance for the astrophysics.
Since this is a circle all percentage must be equal to 360 degrees.
100% ---- 360 degrees
Then 12% will be 43 degrees..
IMO option A.
Question: Calculate the percentage gain if a trader bought a bicycle for Rs.640 and sold it for Rs.720?
A.14.5%
B.11.5%
C.15.5%
D.12.5%
Answer: D.12.5%
Explanation: C.P. = 640
S.P. = 720
Gain = 720-640 ---- 80
% Gain => 80/640*100 => 12.5%
Answer:D
Question: Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
A.1:2
B.2:3
C.3:4
D.3:5
Answer: B.2:3
Explanation: Req = 60:90 = 2:3
ANSWER B
Question: A tank with a volume of 30 cubic feet has one inlet pipe and 2 outlet pipes. The inlet pipe fills water into the tank at the rate of 5 cubic inches/min and the 2 outlet pipes empty it out at the rates of 9 cubic inches/min and 8 cubic inches/min respectively. If all 3 pipes are opened when the tank is full, how many minutes does it take to empty the tank? (1 foot = 12 inches)
A.1440
B.2340
C.3240
D.4320
Answer: D.4320
Explanation: The tank is emptied at this rate: 9 + 8 - 5 = 12 cubic inches/min
The tank has a volume of 30*12*12*12 = 51840 cubic inches.
The time it takes to empty the tank is 51840/12 = 4320 minutes.
The answer is D.
Question: A square of side 8 cm has been made to a rectangle by combining it with a rectangle of dimensions of length 8cm and breadth 4cm. What is the perimeter of the newly formed rectangle?
A.10
B.20
C.40
D.60
Answer: C.40
Explanation: Dimensions of newly formed rectangle, length= 8+4 = 12cm breadth= 8cm
Perimeter of the new rectangle= 2x(12=8)= 40cm
Answer: C
Question: If X = 2 + 1/(1+1/(1-1/2))then the value of 2x+7/3?
A.9 2/3
B.10 1/3
C.7
D.11 2/3
Answer: C.7
Explanation: X = 2 + 1/(1+1/(1-1/2))
= 2 + 1/(1+2)
= 2 + 1/3
X = 7/3 ==> 2X + 7/3 => 2(7/3) + 7/3
==> 14/3 + 7/3
==> 21/3
==> 7.
C)
Question: In a 5 digit ID number, what is the probability of exactly three digits are the digit 0?
A.12/2507
B.9/2500
C.11/9800
D.13/2500
Answer: B.9/2500
Explanation: Total number of 5 digit numbers = 99999-10000+1=90,000
No. of ways of arranging 3 digits as 0 = 4C3=4.
Arrangements are as follows. Here X can be any digit other than 0
1) X000X ==> no. of ways - 81
2) XX000 ==> no. of ways - 81
3) X0X00 ==> no. of ways - 81
4) X00X0 ==> no. of ways - 81
Probability = (81*4)/90000
=9/2500
Ans - B
Question: There are 9 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair. what is the number of pair that can be formed.
A.62
B.70
C.72
D.71
Answer: C.72
Explanation: First of all you should remember that there is a difference in left and right sock.
now no. of way to select any of the sock = 9
and for second = 8
so total methods = 9*8 = 72
ANSWER:C
Question: The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 524 different signs. If the company used 522 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 524 signs?
A.46
B.248
C.2092
D.15,128
Answer: C.2092
Explanation: # of 2-letter codes possible from 524 different signs = 524*524.
# of 2-letter codes possible from 522 different signs = 522*522.
The difference = 524^2 - 522^2 = (524 -522)(524 + 522) = 2092.
Answer: C.
Question: The mean of 50 observations was 40. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is
A.40.46
B.36.1
C.36.5
D.39.1
Answer: A.40.46
Explanation: Sol.
Therefore correct sum
= ( 40 × 50 + 48 – 23)
= 2023.
Therefore correct mean
= 2023 / 50
= 40.46.
Answer A
Question: A baker filled with a measuring cup with 1/3 cup water. He poured 1/2 of the water into the batter, and then spilled 1/8 of the water on the floor. How much water will the baker needed to add what is left in the cup to have 50% more than what he started with?
A.1/8 cup
B.3/8 cup
C.11/24 cup
D.1/2 cup
Answer: C.11/24 cup
Explanation: 1/3 is the original water in cup .half in batter.So left is 1/6 out which 1/8 is spilled out.So again left with 1/24.
so 50% more than what he started was = 1/3+1/2*(1/3)=1/2
Amount of water needed to add = 1/2 - 1/24=11/24
C
Question: A certain taxi company charges $2.80 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?
A.15.6
B.16.0
C.18.4
D.18.7
Answer: C.18.4
Explanation: A certain taxi company charges $2.80 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?
A. 15.60
B. 16.00
C. 17.50
D. 18.70
E. 19.10
1/5 miles = 0.2 miles.
The cost of 8 miles long ride would be $2.80 for the first 0.2 miles plus (8-0.2)/0.2*0.4 = $2.8 + $15.6 = $18.4.
Answer: C.
Question: What is the least possible value that can be subtracted from 2^586 so that the result is a multiple of 7?
A.2
B.3
C.5
D.7
Answer: A.2
Explanation: We need to subtract something to make 2^586 a multiple of 7.
So let us try to write 2^586 in a from from which we can convert it in terms of 7
We know that 2^3 = 8 and 8 = (7+1)
Hence we will write 2^586 in powers of 8
2^586 = 2*2^585 = 2*8^195 = 2*(7+1)^195
All of the terms of (7+1)^195 will be multiple of 7 apart from the last term - "1"
Hence 2*(7+1)^195 = 2(Multiples of 7 + 1) = 2*Multiples of 7 + 2
Therefore we need to subtract 2 to make 2^586 a multiple of 7
ANSWER:A
Question: In a psychology school the grade of the students is determined by the following method: At the end of the first year the grade equals to twice the age of the student. From then on, the grade is determined by twice the age of the student plus half of his grade from the previous year. If Joey’s grade at the end of the first year is 30, what will be his grade at the end of the third year?
A.44
B.56
C.64
D.75
Answer: C.64
Explanation: Cool question!
There's a lot of information given here, so let's eat slow here.
Joey scores a 30 at the end of his first year. That means that he's currently 15 years old (since given per instruction, after the first year one's grade is determined by doubling his/her age).
Now, come next year, or his second year at this psychology school, he's technically 16 years old. To find out the second year's grade, we want to double his age PLUS half of his previous grade.
Well, his second year is then going to be 16(2) + 15 = 41.
Now let's tackle the main question: what's his grade going to be the third year?
Well, he will be at an age of 17 on his third year at this school. Again, to find out his third year's grade, you're going to double his age (17x2), plus half of his previous year's grade (as calculated for his second year, his grade is 41; therefore, 41/2)
Having said that, the final answer would be 17(2) + 41/2 = 34 + 20.5 = 64.5 ~= 64--> (C)
Question: A student is to take her final exams in two subjects. The probability that she will pass the first subject is 3/4 and the probability that she will pass the second subject is 2/3. What is the probability that she will pass one exam or the other exam?
A.5/12
B.1/2
C.7/12
D.5/7
Answer: A.5/12
Explanation: Let the two subjects be X (probability of passing 3/4) and Y (probability of passing 2/3)
The probability of passing in X only is 3/4 times 1/3 (failing in Y) = 1/4
The probability of passing in Y only is 2/3 times 1/4 (failing in X) = 1/6
Therefore the total probability = 1/4 + 1/6 = 5/12
Hence A
Question: In 1995, the Johny spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Johny cut back their water usage. By how much must the Johny have reduce their 1996 water usage to pay exactly the same amount in 1996 as they paid in 1995?
A.a)	33 1/3 %
B.b)	40 %
C.c) 50 %
D.d)	66 2/3 %
Answer: A.a)	33 1/3 %
Explanation: Let x be the water usage and c be the cost water of Johny
We have
xc =800, c=800/x
Y(1.5c)=800 where Y is the water usage in 1996
Y= 800/ (1.5*800/x)= 1/1.5x=2/3x
Thus reduction will be x-2/3x=1/3x=A
Question: Pipes A can fill a tank in 5 hours and Pipe B can fill it in 6 hours . If the two pipes are opened together, then the tank will be filled in:
A.3 4/11 hours.
B.2 8/11 hours.
C.2 3/11 hours.
D.5 2/11 hours.
Answer: B.2 8/11 hours.
Explanation: Explanation:
Pipes A can fill the tank in 5 hours . Therefore,
part filled by pipe A in 1 hour =1/5 Pipe B can fill the tank in 6 hours. Therefore,
part filled by pipe B in 1 hour = 1/6
Net part filled by Pipes A,B together in 1 hour
=1/5+1/6=11/30
i.e., the tank can be filled in 30/11=2 8/11 hours.
Answer: Option B
Question: If M is the sum of consecutive even integers w, x, y, and z, where w < x < y < z, all of the following must be true EXCEPT
A.z - w = 3(y - x)
B.M is divisible by 8
C.The average of w, x, y, and z is odd
D.M is divisible by 4
Answer: B.M is divisible by 8
Explanation: Just assume that the numbers are 2a, 2a+2, 2a+4 and 2a+6.
M = 2a + 2a+2 + 2a+4 + 2a+6 = 8a + 12
Focus on the easiest options first. You see that M is not divisible by 8. Answer (B)
Question: The population of a town increased from 1,24,300 to 1,62,400 in a decade. The average percent increase of population per year is:
A.4.37%
B.4%
C.2.3%
D.3.75%
Answer: C.2.3%
Explanation: Explanation: Increase in 10 years = (162400 - 124300) = 87500.
Increase% = (38100/162400x 100)% = 23%.
Required average = (23/10)% = 2.3%.
Answer: Option C
Question: if log 4 = 0.60205, the number of digits in 4128 is
A.22
B.39
C.78
D.28
Answer: C.78
Explanation: Explanation:
log(4128) = 128log(4) = 128 × 0.60205 ≈ 77.06
ie, its characteristic = 77
Hence, number of digits in 2128 = 77+1 = 78
Answer: Option C
Question: What is the place value of 3 in the numeral 3259
A.2800
B.2900
C.2970
D.3000
Answer: D.3000
Explanation: Option 'D'
3 * 1000 = 3000
Question: In a regular week, there are 5 working days and for each day, the working hours are 8. A
man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns
Rs. 432 in 4 weeks, then how many hours does he work for ?
A.160
B.175
C.180
D.195
Answer: B.175
Explanation: The man works overtime for x hours.
Now, working hours in 4 weeks = (5 x 8 x 4) = 160.
160 x 2.40 + x x 3.20 = 432
3.20x = 432 - 384 = 48
x = 15.
Hence, total hours of work = (160 + 15) = 175 Answer: Option B
Question: A train covers a distance of 12 km in 10 min. If it takes 8 sec to pass a telegraph post, then the length of the train is?
A.178 m
B.168 m
C.120 m
D.160 m
Answer: D.160 m
Explanation: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec
= 20 m/sec.
Length of the train = 20 * 8
= 160 m.
Answer: D
Question: Fill in the missing number:
18 ? 12 11 10.5 10.25
A.10.1
B.10.4
C.10.2
D.14
Answer: D.14
Explanation: 14
Divide each number by 2 and then add 5 to it.
ANSWER D