RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: In how many V ways can a four-letter password be chosen, using the letters A, B, C, D, E, and/or F, such that at least one letter is repeated within the password?
A.720
B.864
C.900
D.936
Answer: D.936
Explanation: Total number of four letter passwords = 6*6*6*6= 1296 ------(1)
Total number of passwords in which no letter repeats = 6C4*4!= 15*24=360------(2)
therefore required value V= (1)-(2)= 1296-360=936.D
Question: The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by 3 months .Find the age of the teacher.
A.22
B.25
C.8
D.27
Answer: B.25
Explanation: Sum of the ages of the students = 39×15 = 585
New average = 15 years 3 months = 15 + 1414 year
Sum of the ages of students and teacher = 40×15141514 = 40×614614 = 610
Teacher age = 610 – 585 = 25 years.
Answer:B
Question: x+(1/x) = 4 find x^2 + (1/x^2)
A.2.25
B.3.25
C.4.25
D.14
Answer: D.14
Explanation: squaring on both sides (x+1/x)^2=4^2
x^2+1/X^2=16-2
x^2+1/X^2=14
ANSWER:D
Question: 24 oz of juice P and 25 oz of juice Q are mixed to make smothies X and Y . The ratio of p to Q in smothie X is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie X?
A.5
B.10
C.15
D.20
Answer: D.20
Explanation: Easy way to solve this question is start from the answer and then conform the information provided in the question.
we can start from option D i.e 20 ... as a quantity of juice P in X because it is the only one option that gets divided by 4 is 20 ... since in the X the juice P to Q ratio is 4:1
this gives us that quantity of juice P in X = 20 therefore quantity of Juice V will be 5 ... hence ratio = 4:1
This will lead to quantity of juice P in X = 4 and quantity of Juice V = 20 ... hence ratio 1:5
if we calculate total Juice P = 24 and total of juice Q = 25
it fits because totals are same as what mentioned in the question ...
thus ans is D
Question: The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?
A.7%
B.5%
C.9%
D.1%
Answer: C.9%
Explanation: (30 * 30)/100
= 9% decrease
Answer:C
Question: An amount of Rs. 75000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?
A.s. 46875; Rs. 28125
B.s. 62500; Rs. 37500
C.s. 72500; Rs. 27500
D.s. 82500; Rs. 17500
Answer: A.s. 46875; Rs. 28125
Explanation: Let the sum invested at 9% be Rs. x and that invested at 11% be Rs. (75000 - x). Then,
(x * 9 * 1)/100 + [(75000 - x) * 11 * 1]/100 = (75000 * 39/4 * 1/100)
(9x + 825000 - 11x)/100 = 39000/4 = 14625/2
x = 46875
Sum invested at 9% = Rs. 46875
Sum invested at 11% = Rs. (75000 - 46875) = Rs. 28125.
ANSWER:A
Question: A can do a half of certain work in 70 days and B one third of the same in 35 days. They together will do the whole work in.
A.17 days
B.97 days
C.19 days
D.60 days
Answer: D.60 days
Explanation: A = 140 days
B = 105 days
1/140 + 1/105 = 7/420 = 1/60
=>60 days
Answer: D
Question: A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
A.399
B.788
C.350
D.888
Answer: C.350
Explanation: Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 39 = 50/3
3(x + 300) = 1950 è x = 350m. Answer: C
Question: Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 50. What is the value of x?
A. 50
B. 100
C. 200
D. 140
Answer: D. 140
Explanation: y = 50% of 50% 0f x
= x/4
and
y/100 of x = 50
y /100 *4y =50
y = 35
and x= 140
Answer - D
Question: Which of the following values of A satisfies the inequality?
A(A – 2) = 5A – 10
A.A > 5 or A < 2
B.2 < A < 5
C.2 < A = 5
D.A = 5, A = -2
Answer: C.2 < A = 5
Explanation: Explanation:
A ( A – 2) = 5 A – 10
A( A – 2) = 5 ( A – 2)
A = 5 if A – 2 > 0
A = 5, A > 2
i.e. 2 < A = 5
ANSWER: C
Question: In year Y imported machine tools accounted for 25 percent of total machine-tools sales in the United States, and Japanese imports accounted for 25 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?
A.9x/80
B.13x/20
C.80/9x
D.16x
Answer: D.16x
Explanation: Sales of imported tools = 25% of the total sales = 0.25*{total} = {total}/4;
Sales of Japanese tools = 25% of the sales of imported tools = 0.25*{total}/4 = 1/4*{total}/4 = 1*{total}/16.
Since the sales of of Japanese tools was x, then 1*{total}/16 = x --> {total} = 16x.
Answer: D.
Question: Mysoon collects glass ornaments. Ten more than 1/6 of the ornaments in her collection are handmade, and 1/2 of the handmade ornaments are antiques. If 1/3 of the ornaments in her collection are handmade antiques, how many ornaments are in her collection?
A.20
B.60
C.108
D.144
Answer: A.20
Explanation: The number of ornaments = a
Ten more than 1/6 of the ornaments in her collection are handmade => Handmade = 10+a/6
1/2 of the handmade ornaments are antiques => Handmade ornaments = 1/2*(10+a/6) = 5 + a/12
1/3 of the ornaments in her collection are handmade antiques => Handmade ornaments = a/3
=> 5 + a/12 = a/3 => a = 200
Ans: A
Question: If (x +3 )^2 = 144, which of the following could be the value of 2x?
A.–26
B.–22
C.–30
D.12
Answer: C.–30
Explanation: You can also get to the answer by backsolving using answer choices
Starting with x = -15
(x + 3)^2 = 144
(-15+3)^2 = 144 =====> (-12)^2 = 144 Bingo, Clearly, among the answer choices only -15 will result in 144 in the equation so x must be -11,
Then 2x = 2 * -15 = -30
Answer: C
Question: Solve:-
333 x 333 x 333 + 555 x 555 x 555 = ?(333 x 333 - 333 x 555 + 555 x 555)
A.888
B.333
C.555
D.988
Answer: A.888
Explanation: Given Exp. = (a3 + b3) = (a + b) = (333 + 555) = 888(a2 - ab + b2)
Answer A
Question: The average speed of a bus from Koyambedu to Salem is 57 km per hour. The bus is scheduled to leave Koyambedu Bus station at 10 pm and reach Salem at 4.35 am on the next day. The distance between Salem and Koyambedu bus station is 342 km. On the way in between Koyambedu and Salem a halt is scheduled compulsorily. Find out the duration of this halt scheduled?
A.45 minutes
B.35 minutes
C.60 minutes
D.cannot be determined
Answer: B.35 minutes
Explanation: Actual time takes= 342/57 = 6 hrs
Duration of journey frm 10pm to 4.35am= 6 hrs 35 min
duration of halt scheduled= 35min
ANSWER:B
Question: If a and t are positive integers, at + a + t cannot be
A.5
B.6
C.7
D.8
Answer: B.6
Explanation: Let at + t + a = x
Add 1 on both sides:
at + t + a + 1 = x + 1
t(a + 1) + a + 1 = x + 1
(a + 1)(t + 1) = x + 1
Minimum value of (a + 1) = 2
Minimum value of (t + 1) = 2
Hence x + 1 cannot be prime
Substitute x from the given options: 6 + 1 = 7 --> prime -->at + t + a cannot be 6
Answer: B
Question: A train running at a speed of 36 km/h passes an electric pole in 14 seconds. In how many seconds will the whole train pass a 350-meter long platform?
A.43
B.45
C.47
D.49
Answer: D.49
Explanation: Let the length of the train be x meters.
When a train crosses an electric pole, the distance covered is its own length x.
speed = 36 km/h = 36000 m / 3600 s = 10 m/s
x = 14 * 10 = 140 m.
The time taken to pass the platform = (140 +350)/ 10 = 49 seconds
The answer is D.
Question: The cross-section of a river bank is a trapezium in shape. If the river bank is 12 m wide at the top and 8 m wide at the bottom and the area of cross-section is 500 sq m, the depth of river bank is?
A.20 m
B.60 m
C.40 m
D.50 m
Answer: D.50 m
Explanation: 1/2 * d (12 + 8) = 500
d = 50
ANSWER:D
Question: A, B and C enter into a partnership in the ratio 7/2:4/3:6/5.After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then B's share in the profit is:
A.Rs. 2100
B.Rs. 2400
C.Rs. 3600
D.Rs. 4000
Answer: D.Rs. 4000
Explanation: Explanation:
Ratio of initial investments =(7/2:4/3:6/5)=105 : 40 : 36.
Let the initial investments be 105x, 40x and 36x.
A : B : C =(105 X4+150/100X105X8):(40X X 12):(36x x 12)
= 1680x : 480x : 432x = 35 : 10 : 9.
Hence, B's share = Rs.(21600 X 10/54)=Rs. 4000.
ANSWER IS D
Question: What is the tens digit of 7^957?
A.0
B.1
C.2
D.3
Answer: D.3
Explanation: 7^1 = 7
7^2 = 49
7^3 = 343
7^4 = 2401
7^5 = 16807
7^6 = 117649
We should see this as pattern recognition . We have a cycle of 4 . (We can multiply the last 2 digits only as we care about ten's digit )
0 , 4 , 4 , 0 .
957= 4*239 + 1
The ten's digit will be 0 .
Answer D
Question: If a quarter kg of potato costs 60 paise, how many paise does 200 gm cost?
A.65 paise
B.70 paise
C.52 paise
D.48 paise
Answer: D.48 paise
Explanation: Explanation:
(Chain Rule)
Let 200 gm potato costs x paise
Cost of 14 Kg potato = 60 Paise
=> Cost of 250 gm potato = 60 Paise (∵1/4 kg=1000/4 gm=250 gm)
More quantity, More Paise (direct proportion)
Hence we can write as
(Quantity) 200 : 250 :: x : 60
⇒200×60=250 × x
⇒4×60=5 × x
⇒4×12= x
⇒x=48
Answer: Option D
Question: A man watched his wife run around the neighborhood block 4 times. He was curious how fast she was running. Each block is 500 meters and she ran the distance in one hour. How fast was his wife running in kilometers per hour?
A.3
B.1
C.2
D.4
Answer: C.2
Explanation: The distance of each block was 500 meters.
She made the roundtrip 4 times.
Multiply 4 by 500 to get 2000 meters or 2 km.
Because it took her one hour to run the distance the answer is already in kilometers per hour.
Correct answer is 2km/hour
Question: Having scored 95 runs in the 19th inning, a cricketer increases his average score by 4. What will be his average score after 19 innings?
A.28
B.27
C.23
D.22
Answer: C.23
Explanation: Explanation :
Let the average score of the first 18 innings be n
18n + 95 = 19(n+4)=> n = 19
So, Average score after 19th innings = x+4 =23.
Answer : C
Question: Joan gave harvey 60 out of 500 nuts. He then gave Joan 66 out of the remainder. What will be the percentage increase in the ratio of nust given to nuts owned?
A.A) 22%
B.B) 60%
C.C) .8%
D.D) 80%
Answer: D.D) 80%
Explanation: Ratio in 1st instance: 6/50
Ratio in the 2nd instance:66/(500-60)= 66/440 =(6/40)
percentage increase is (difference/initial quantity)*100
(6/50)/(6/40 )* 100= 80%
Correct answer is D
Question: A and B together can do a work in7 days. If A alone can do it in 14 days. In how many days can B alone do it?
A.14
B.10
C.21
D.20
Answer: A.14
Explanation: A
14
1/7 â€“ 1/14 = 1/14 => 14
Question: A trained covered x km at 90 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.
A.22
B.99
C.27
D.66
Answer: C.27
Explanation: Total time taken = x/90 + 2x/20 hours
= x/9 hours
Average speed = 3x/(x/9) = 27 kmph
Answer: C
Question: All factors of a positive integer A are multiplied and the product obtained is A^3. If A is greater than 1, how many factors does A have?
A.2
B.3
C.5
D.6
Answer: D.6
Explanation: Answer = D = 6
Number ................ Factors ........................ Product
2 ............................. 1, 2 ................................. 2
3 ............................... 1, 3 ............................... 3
4 ................................ 1, 2, 4 ............................... 8
5 ............................... 1, 5 .................................. 5
6 ............................... 1, 2, 3, 6 ......................... 36
7 ................................ 1, 7 ................................. 7
8 ................................. 1, 2, 4, 8 ........................... 64
9 ............................... 1, 3, 9 ............................ 27
10 ................................ 1, 2, 5 ............................ 10
11.................................... 1, 11 ........................... 11
12 ................................... 1, 2, 3, 4, 6, 12 ................. 12 * 12 * 12
Number which we are looking for = 12
Answer = D
Question: Three-twentieths of the members of a social club are retirees who are also bridge players, nine-twentieths of the members are retirees, and one-half of the members are bridge players. If 120 of the members are neither retirees nor bridge players, what is the total number of members in the social club?
A.150
B.300
C.360
D.400
Answer: A.150
Explanation: {Total} = {Retirees} + {Bridge players} - {Both} + {Neither}
x = 9/20*x + x/2 - 3/20*x + 120
20x = 9x + 10x - 3x + 120*20 (multiply by 20)
16x = 120*20
x = 150
Answer: A
Question: In the following sequence: [x, y, z, 6, 8, 16, 28] each number is equal to the sum of the three numbers preceding it. What is x+y?
A.2
B.3
C.4
D.5
Answer: C.4
Explanation: lets start from z, as per the question stem
z + 6 + 8 = 16
-->> z= 2
similarly, y +2 + 6 = 8
--> y = 0
similarly,, x + 0 + 2 = 6
--> x = 4
hence , x+y = 4-0 = 4 --> x+y=4
ANSWER:C
Question: A certain sum becomes three times itself at simple interest in five years. the sum become 1200 after 9 year.calculate the principal amount.
A.250
B.260.86
C.288.6
D.265.66
Answer: B.260.86
Explanation: Let the sum be Rs. x, then it becomes Rs. 3x in five years Rs. 2x is the interest on x for five years.
R = (100 * 2x)/(x * 5) = 40 %
s.i=p*r*t/100=x*40*9/100=3.6x
x+3.6x=1200=4.6x=1200,x=1200/4.6=260.86
ANSWER:B
Question: A is 25% bigger than B B is 20% less than C then the relation between A, B, C ?
A.5:4:5
B.5:4:6
C.5:4:7
D.5:4:8
Answer: A.5:4:5
Explanation: Assume C = 100 Then
B is 20%less than C
Therefore, 20*100/100 = 20 ;
B= 100-20 = 80
B =80
A = 25% more than B :
So,
A = B + 25% of B
= 80 + 20
= 100
So, the proportion are 100:80:100 = 5:4:5
ANSWER:A
Question: The cost of the paint is Rs. 36.50 per kg. If 1 kg of paint covers 16 square feet, how much will it cost to paint outside of a cube having 8 feet each side.
A.Rs. 850
B.Rs. 860
C.876 RUPEES
D.Rs. 886
Answer: C.876 RUPEES
Explanation: Explanation:
We will first calculate the Surface area of cube, then we will calculate the quantity of paint required to get answer.
Here we go,
Surface area =6a2=6∗8(2)=384sq feet
Quantity required =38416=24kg
Cost of painting =36.50∗24= Rs.876
Option C
Question: A boy has Rs. 560 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
A.90
B.105
C.140
D.130
Answer: B.105
Explanation: Let number of notes of each denomination be x.
Then x + 5x + 10x = 560
16x = 560
x = 35.
Hence, total number of notes = 3x = 105.
B
Question: A group of men decided to do a work in 17 days, but 8 of them became absent. If the rest of the group did the work in 21days, Find the original number of men?
A.15
B.20
C.42
D.25
Answer: C.42
Explanation: Original number of men = 8*21 / (21-17) = 42
Answer is C
Question: A business school club, Friends of Foam, is throwing a party at a local bar. Of the business school students at the bar, 40% are first year students and 60% are second year students. Of the first year students, 50% are drinking beer, 20% are drinking mixed drinks, and 30% are drinking both. Of the second year students, 30% are drinking beer, 30% are drinking mixed drinks, and 20% are drinking both. A business school student is chosen at random. If the student is drinking beer, what is the probability that he or she is also drinking mixed drinks?
A.1
B.4/7
C.10/19
D.7/24
Answer: C.10/19
Explanation: Suppose there are 100 students
Group A : 40% = 40 students
50% drink beer = 20
30% mixed = 12
20% both = 8
Group B 60% = 60
30% beer= 18
30% mixed = 18
20% both= 12
now we need both ( beer + mixed = both)
probability = total beer drinker = 20+18 =38 and both = 20
thus 20/38 = 10/19
Hence C
Question: An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
A.4082.89
B.4082.49
C.4082.477
D.4082.4
Answer: D.4082.4
Explanation: Length of the first carpet = (1.44)(6) = 8.64 cm
Area of the second carpet = 8.64(1 + 40/100) 6 (1 + 25/100)
= 51.84(1.4)(5/4) sq m = (12.96)(7) sq m
Cost of the second carpet = (45)(12.96 * 7) = 315 (13 - 0.04) = 4095 - 12.6
= Rs.4082.40
Answer: D
Question: A man swims downstream 100 km and upstream 30 km taking 10 hours each time; what is the speed of the current?
A.2.5
B.3.5
C.4.5
D.5.3
Answer: B.3.5
Explanation: 100 --- 10 DS = 10
? ---- 1
30 ---- 10 US = 3
? ---- 1 S = ?
S = (10 - 3)/2 = 3.5
Answer: B
Question: In what ratio must rice of Rs.54per kg be mixed with rice of Rs.35 per kg so that cost of mixture is Rs.42 per kg?
A.9:7
B.7:12
C.12:7
D.5:6
Answer: B.7:12
Explanation: (42-35)/(54-42)=7/12=7:12
ANSWER:B
Question: Find the area of circle whose radius is 3m?
A.18.57
B.15.84
C.17.27
D.28.28
Answer: D.28.28
Explanation: 22/7 * 3 * 3
= 28.28
Answer:D
Question: total dinning bill of 9 people was $139.00 and 10% tip divided the bill evenly ?what is the bill amount each person shared .
A.21.84
B.12.84
C.16.98
D.24.84
Answer: C.16.98
Explanation: dinner bill of 9 person = 139 + 10% tip
so,
10% of 139 = (139*10)/100 = 13.9
So, the actual total amount = 139+13.9 = $ 152.9
so per head bill = 152.9/9 = $ 16.98
ANSWER:C
Question: A train 350 m long, running with a speed of 63 km/hr will pass a tree in?
A.18 sec
B.20 sec
C.76 sec
D.15 sec
Answer: B.20 sec
Explanation: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 350 * 2/35 = 20 sec
Answer:B
Question: The ages of two persons differ by 16 years. 3 years ago, the elder one was 3 times as old as the younger
one. What are their present ages of the elder person
A.15
B.20
C.25
D.27
Answer: D.27
Explanation: Explanation:
Let's take the present age of the elder person = x
and the present age of the younger person = x � 16
(x � 3) = 3 (x-16-3)
=> x � 3 = 3x � 57
=> 2x = 54
=> x = 54/2 = 27
Answer: Option D
Question: What is the volume of a cube?
I. The area of each face of the cube is 64 square metres.
II. The length of one side of the cube is 8 metres.
A.I alone sufficient while II alone not sufficient to answer
B.II alone sufficient while I alone not sufficient to answer
C.Either I or II alone sufficient to answer
D.Both I and II are not sufficient to answer
Answer: C.Either I or II alone sufficient to answer
Explanation: EXPLANATION
Let each edge be a metres. Then,
I. a2 = 64 a = 8 m Volume = (8 x 8 x 8) m3 = 512 m3.
Thus, I alone gives the answer.
II. a = 8 m Volume = (8 x 8 x 8) m3 = 512 m3.
Thus, II alone gives the answer.
Correct answer is (C).
Question: Ajit opened a shop investing Rs. 30000. Sujeet joined him 2 months later, investing Rs. 45000. They earned a profit of Rs. 54000 after completion of one year. What will be Sujeet's share of profit ?
A.27000
B.24000
C.30000
D.36000
Answer: C.30000
Explanation: Explanation :
Ajit : Sujeet = 30000*12 : 45000*10 = 4 : 5.
Sujeet's share = Rs. 54000 * (5/9) = Rs. 30000.
Answer : C
Question: Insert the missing number.
2, 6, 12, 20, 30, 42, 56, 72, 90 (....)
A.110
B.38
C.72
D.66
Answer: A.110
Explanation: Explanation:
The pattern is 1 x 2, 2 x 3, 3 x 4, 4 x 5, 5 x 6, 6 x 7, 7 x 8,8 x 9, 9 x 10.
So, the next number is 10 x 11 = 110.
Answer: A) 110
Question: A train 700 meters long is running with a speed of 50 kmph. The time taken by it to cross a tunnel 160 meters long is?
A.29
B.18
C.48
D.62
Answer: D.62
Explanation: D = 700 + 160 = 860
S = 50 * 5/18 = 13.89 mps
T = 860/13.89 = 62 sec
Answer: D
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
A.16 seconds
B.15 seconds
C.14 seconds
D.12 seconds
Answer: D.12 seconds
Explanation: Speed of the boat downstream = 15 + 3
= 18 kmph
= 18 * 5/18 = 5 m/s
Hence time taken to cover 60 m = 60/5
= 12 seconds.
Answer:D
Question: If the average (arithmetic mean) of seven consecutive integers is 20, then the product of the greatest and least integer is
A.343
B.393
C.363
D.391
Answer: D.391
Explanation: n = smallest number
n+6 = largest number
(n + n + 6)/2 = 20
=> (2n+6)/2 = 20
=> n + 3 = 20
=> n = 17
So Product of n and n+6 = (17) (23)
= 391
Answer - D
Question: A sum fetched a total simple interest of 4034.25 at the rate of 9 %.p.a. in 5 years. What is the sum?
A.5768
B.8925
C.8965
D.6474
Answer: C.8965
Explanation: Principal = (100 x 4034.25)/(9 x 5)
= 403425/45
= 8965.
ANSWER C
Question: The average of six numbers is 3.95. The average of two of them is 3.6, while the average of the other two is 3.85. What is the average of the remaining two numbers?
A.4.4
B.4.6
C.4.7
D.4.8
Answer: A.4.4
Explanation: Sum of the remaining two numbers
= (3.95 × 6) – [(3.6 × 2) + (3.85 × 2)]
= 23.70 – (7.2 + 7.7)
= 23.70 – 14.9 = 8.80
∴ Required average = (8.8⁄2) = 4.4
Answer A
Question: In how many different ways can the letters of the word "CORPORATION" be arranged in such a way that no two vowels are together?
A.6!/2!∗C57∗5!3!
B.4!/2!∗C57∗5!3!
C.6!/2!∗C57∗6!3!
D.3!/2!∗C57∗5!3!
Answer: A.6!/2!∗C57∗5!3!
Explanation: Step 1: Separate consonants with 7 empty slots *C*R*P*R*T*N*.
Step 2: 6 consonants CRPRTN can be arranged in 6!/2! ways (6 letters with two R's);
Step 3: we have 5 vowels OOAIO. Choose 5 slots out of 7 for them (this way no two vowels will be together): C57
Step 4: 5 vowels in their slots can be arranged in 5!/3! ways (5 letters with three O's).
Total = 6!/2!∗C57∗5!3!
Answer: A
Question: A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 3:00 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?
A.10.18 p.m
B.10.29 p.m
C.10.00 p.m
D.10.38 p.m
Answer: C.10.00 p.m
Explanation: D = 70 * 1 ½ = 105 km
RS = 85 – 70 = 15
T = 105/15 = 7 h
3.00 + 7 h = 10.00 p.m.
Answer:C
Question: Kingfisher company plans to assign identification numbers to its employees. Each number is to consist of four different digits from 0 to 9, inclusive, except that the first digit cannot be 0. How many different identification numbers are possible?
A. 3,024
B. 4,536
C. 5,040
D. 9,000
Answer: B. 4,536
Explanation: Kingfisher company plans to assign identification numbers to its employees.The first digit can take 9 values from 1 to 9 inclusive;
The second digit can also take 9 values (9 digits minus the one we used for the first digit plus 0);
The third digit can take 8 values;
The fourth digit can take 7 values.
Total = 9*9*8*7 = something with the units digit if 6.
Answer: B.
Question: Length of a rectangular plot is 16 mtr more than its breadth. If the cost of fencing the plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
A.58 m
B.60 m
C.80 m
D.82 m
Answer: A.58 m
Explanation: Let breadth = x metres.
Then, length = (x + 16) metres.
Perimeter = 5300 m = 200 m.
26.50
2[(x + 16) + x] = 200
2x + 16 = 100
2x = 84
x = 42.
Hence, length = x + 16 = 58 m
A
Question: What is the smallest number which when increased by 7 is divisible by 25, 49, 15, and 21?
A.3,551
B.3,668
C.3,733
D.3,822
Answer: B.3,668
Explanation: First factor each of 25, 49, 15, and 21 into primes:
25=5*5; 49=7*7; 15=3*5; 21=3*7
the smallest number divisible by each of the numbers is 3*5*5*7*7 = 3,675
3,675-7 = 3,668 thus 3,668 + 7 is the smallest number divisible by 25, 49, 15, and 21
B
Question: The reciprocal of the hcf and lcm of two are 1/16 and 1/312 .if one of the number is 24 then other no. is
A.126
B.136
C.146
D.208
Answer: D.208
Explanation: reciprocal of the hcf and lcm of two are 1/16 and 1/312
so, HCF = 16 , LCM = 312
LCM * HCF = product of two numbers = a*b => b = LCM * HCF / a
so, other = 16*312 / 24 = 208
ANSWER:D
Question: A sum of money deposited at C.I. amounts to Rs.3650 in 2 years and to Rs.4015 in 3 years. Find the rate percent?
A.10%
B.15%
C.20%
D.25%
Answer: A.10%
Explanation: Explanation:
3650 -------- 365
100 -------- ? (10%)
Answer: Option A
Question: Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is?
A.80
B.85
C.96
D.125
Answer: C.96
Explanation: I II III
120 125 100
125----------120
100-----------? => 96%
ANSWER C