RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: 6 people meet for a ceremony. Each person shakes hands once with each other person present. How many handshakes take place?
A.30
B.21
C.18
D.15
Answer: D.15
Explanation: Let's look at the logic.
Every person shakes hand with other '5'. So, 6 people shake hands with 6X5= 30 people
But in this 30 we have counted two times the total handshakes (s shakes hand with t and t shakes hand with s)
So just divide 30/2= 15 total handshakes
Answer is D
Question: Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
A.12 years
B.19 years
C.26 years
D.24 years
Answer: D.24 years
Explanation: Explanation:
Let the present ages of Sameer and Anand be 5x years and 4x years respectively.
Then,5x +3/4X+3=11/9
9(5x + 3) = 11(4x + 3)
45x + 27 = 44x + 33
45x - 44x = 33 - 27
x = 6.
Anand's present age = 4x = 24 years.
Answer: D
Question: A sum of money at simple interest amounts to Rs. 2240 in 2 years and to Rs. 2600 in 5 years. What is
the principal amount
A.1000
B.1500
C.2000
D.2500
Answer: C.2000
Explanation: Explanation:
SI for 3 year = 2600-2240 = 360
SI for 2 year 360/3 * 2 = 240
principal = 2240 - 240 = 2000
Answer:C
Question: Solve 7x – 5 = 4x + 11
A.5(1/3)
B.6(1/3)
C.7(1/3)
D.8(1/3)
Answer: A.5(1/3)
Explanation: Sol.
7x – 5 = 4x + 11
=> 7x – 4x = 11 + 5
=> 3x = 16 => x = 16/3 = 5(1/3).
Answer A
Question: What quantity of water should taken out to concentrate 12 liters of 40% acidic liquid to 60% acidic liquid?
A.4liters
B.10liters
C.15liters
D.8liters
Answer: A.4liters
Explanation: Required answer is = 12(60-40)/60 = 4 liters
Answer is A
Question: A team scored a total of 98 points. If each player on the team scored at least 14 points, then what is the greatest possible number of players on the team?
A.A)6
B.B)7
C.C)8
D.D)9
Answer: B.B)7
Explanation: 98/14=7 plus remainder.
The answer is B.
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
A.26 sec
B.28 sec
C.48 sec
D.22 sec
Answer: C.48 sec
Explanation: Relative speed = 60 + 90 = 150 km/hr.
= 150 * 5/18 = 125/3 m/sec.
Distance covered = 1.10 + 0.9 = 2 km = 2000 m.
Required time = 2000 * 3/125
= 48 sec.
Answer:C
Question: Susan drives from city A to city B. After two hours of driving she noticed that she covered 80 km and calculated that, if she continued driving at the same speed, she would end up been 15 minutes late. So she increased her speed by 10 km/hr and she arrived at city B 36 minutes earlier than she planned.
Find the distance between cities A and B.
A.223
B.376
C.250
D.378
Answer: C.250
Explanation: Let xx be the distance between A and B. Since Susan covered 80 km in 2 hours, her speed was V=802=40V=802=40 km/hr.
If she continued at the same speed she would be 1515 minutes late, i.e. the planned time on the road is x40−1560x40−1560 hr. The rest of the distance is (x−80)(x−80) km. V=40+10=50V=40+10=50 km/hr.
So, she covered the distance between A and B in 2+x−80502+x−8050 hr, and it was 36 min less than planned. Therefore, the planned time was 2+x−8050+36602+x−8050+3660.
When we equalize the expressions for the scheduled time, we get the equation:
x40−1560=2+x−8050+3660x40−1560=2+x−8050+3660
x−1040=100+x−80+3050x−1040=100+x−80+3050
x−104=x+505x−104=x+505
5x−50=4x+2005x−50=4x+200
x=250x=250
So, the distance between cities A and B is 250 km.
Answer:C
Question: ? x 240 = 173 x 240
A.173
B.685
C.865
D.495
Answer: A.173
Explanation: Let y x 240 = 173 x 240
Then y = (173 x 240) / 240
=173
ANSWER :A
Question: Two trains running in opposite directions cross a man standing on the platform in 67 seconds and 17 seconds respectively and they cross each other in 73 seconds. The ratio of their speeds is:
A.3/2
B.3/9
C.3/6
D.3/1
Answer: A.3/2
Explanation: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 23 ==> 27 x + 17 y = 23 x + 23 y ==> 4 x = 6 y ==> x/y = 3/2.
Answer:A
Question: A manâ€™s current age is (2/5) of the age of his father. After 12 years, he will be (1/2) of the age of his father. What is the age of father at now?
A.60
B.45
C.38
D.50
Answer: A.60
Explanation: Let, fatherâ€™s current age is A years.
Then, Manâ€™s current age =[ (2/5)A ]years.
Therefore, [ (2/5)A + 12 ]= (1/2)(A + 12)
2(2A + 60) = 5(A + 12)
A = 60
A
Question: If one positive integer is greater than another positive integer by 3, and the difference of their cubes is 63, what is their sum?
A.5
B.4
C.3
D.2
Answer: A.5
Explanation: 1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 64
The two numbers are 1 and 4.
The answer is A.
Question: If the number 571 * 269 is completely divisible by 9, then the smallest whole number in place of * will b
A.4
B.6
C.7
D.8
Answer: B.6
Explanation: Sum of digits = (5 + 7 + 1 + x + 2 + 6 + 9) = (30 + x), which must be divisible by 9.
x = 6.
B)
Question: Find the roots of the quadratic equation: 2x2 + 3x - 9 = 0?
A.3, -3/2
B.3/2, -3
C.-3/2, -3
D.3/2, 3
Answer: B.3/2, -3
Explanation: Explanation:
2x2 + 6x - 3x - 9 = 0
2x(x + 3) - 3(x + 3) = 0
(x + 3)(2x - 3) = 0
=> x = -3 or x = 3/2.
ANSWER IS B
Question: If (A-B-C+D = 13) and (A+B-C-D = 3), what is the value of (B-D)^2?
A.4.
B.8.
C.12.
D.25.
Answer: D.25.
Explanation: EQ1: A - B - C + D = 13
EQ2: A + B - C - D = 3
(1) Subtract EQ1 from EQ2
A - B - C + D = 13
- A +B - C - D = 3
------------------------
-2B + 2D = 10
(2) Simplify
-B + D = 5
B - D = -5
(B-D)^2 = (-5)^2 = 25
My answer: D
Question: Complete the series:
16, 06 , 68 , 88 , ? , 98
A.L8
B.B6
C.S5
D.E8
Answer: A.L8
Explanation: A
L8
To know why, just read the number series upside down and you will find that the numbers are 91, 90, 89, 88, __, 86
So L8 when read upside down reads as 87.
Question: If x + | x | = 0, which of the following must be true?
A.x > 0
B.x≥0
C.x < 0
D.x≤0
Answer: D.x≤0
Explanation: Manipulate the equations:
x + | x | = 0
|x| = -x
-x > 0 OR -x = 0
This means x could be 0 or x is less than 0.
D. x≤0
E. x=0
Answer: D
Question: To furnish a room in a model home an interior decorator is to select 2 chairs and 2 tables from the collection of chairs and tables in a warehouse that are all different from each other. If there are 5 chairs in the warehouse and if 150 different combinations are possible, how many tables r are there in the warehouse?
A.6
B.8
C.10
D.15
Answer: A.6
Explanation: Total number of ways to choose 2 chairs from 5 r= 5C2=10
Total number of combination=150
That means we need get 15 combinations from the selection of tables....
Screening through the answers.... 6C2=15..... 15*10=150
Answer is 6... A
Question: if x/4-x-3/6=1,then find the value of x.
A.2
B.4
C.6
D.8
Answer: C.6
Explanation: (x /4)-((x-3)/6)=1= (3x-2(x-3) )/12 = 1 = 3x-2x+6=12 = x=6
Answer is C.
Question: The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is
A.1/2
B.1
C.3/4
D.3/5
Answer: A.1/2
Explanation: Sol. Required probability = Pg.) x P(B) = (1— D x(1 —I) =: x 1=1/2
Ans.(A)
Question: 8 friends decides to eat pizza. 4 friends eat type 1 pizza which cost 100 each. Remaining friend buy pizza having off on it and saves 100 and each of them pay equal money .Total bill is 800. what is actual cost of each pizza having off on it.
A.135
B.115
C.120
D.125
Answer: D.125
Explanation: Solution: D.8 friend = 800. per friend 100. Saves 100 and each of them paid 100 and saved 100/4=25. so pizza had a 20% off so actual cost is 125 for each pizza having discount.
Question: Look at this series: 7, 10, 8, 11, 9, 12, 10, 13, 11, 14, 12, ... What number should come next?
A.12
B.13
C.14
D.15
Answer: D.15
Explanation: This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.
The answer is D.
Question: A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
A.338
B.277
C.350
D.881
Answer: C.350
Explanation: D = 72 * 5/18 = 25 = 500 – 150 = 350
Answer: C
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
A.18%
B.19%
C.28%
D.38%
Answer: A.18%
Explanation: 1500 ---- 270
100 ---- ? => 18%
Answer: A
Question: Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
A.72
B.62
C.12
D.72
Answer: C.12
Explanation: Explanation:
T = 9/45 * 60 = 12
Answer: Option C
Question: A car traveling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. What is the actual speed of the car?
A.30km/hr
B.35km/hr
C.25km/hr
D.40km/hr
Answer: B.35km/hr
Explanation: Explanation:
time =1 hr 40 min 48 sec
=1 hr +4060 hr +48/3600 hr
=1+2/3+1/75=126/75hr
distance =42 km
speed=distance/time=42(126/75) =42Ã—75/126=25 km/hr=25 km/hr
â‡’57 of the actual speed =25
â‡’ Actual speed =25Ã—7/5=35 km/hr
ANSWER IS B
Question: A and B can do a piece of work in 18 days; Band C can do it in 24 days A and C can do it in 36 days. In how many days will A, Band C finish it together?
A.15 days
B.12 days
C.8 days
D.16 days
Answer: D.16 days
Explanation: Sol. (A + B)'s 1 day's work = (1/18) (B + C)'s 1 day's work = (1/24)
and (A + C)'s 1 day's work = (1/36)
Adding, we get: 2 (A + B + C)'s 1 day's work =¬(1/18 + 1/24 + 1/36)
=9/72 =1/8
(A +B + C)'s 1 day's work =1/16
Thus, A, Band C together can finish the work in 16 days.
Ans: D
Question: P and Q started a business with respective investments of Rs. 4 lakhs and Rs. 10 lakhs. As P runs the business, his salary is Rs. 5000 per month. If they earned a profit of Rs. 2 lakhs at the end of the year, then find the ratio of their earnings?
A.1:5
B.1:0
C.1:3
D.1:1
Answer: D.1:1
Explanation: Ratio of investments of P and Q is 2 : 5
Total salary claimed by P = 12 * 5000 = Rs. 60000
Total profit = Rs. 2 lakhs.
Profit is to be shared = Rs. 140000
Share of P = (2/7) * 140000 = Rs. 400000
Share of Q = Rs. 100000
Total earnings of P = (60000 + 40000) = Rs. 100000
Ratio of their earnings =1:1
Answer: D
Question: A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
A.10
B.100
C.1000
D.10000
Answer: C.1000
Explanation: Along one edge, the number of small cubes that can be cut
= 100/10 = 10
Along each edge 10 cubes can be cut. (Along length, breadth and height). Total number of small cubes that can be cut = 10 * 10 * 10 = 1000
Answer: Option C
Question: in a tennis tournment there are 137 players .to decide the winner among them how many matches should be played among them.such that if a player losts the match he is not eligible for the next round
A.116
B.126
C.136
D.146
Answer: C.136
Explanation: 1 match = 1 player out.
2 match = 2 player out.
Like that,
136 match = 136 players out.
ANSWER:C
Question: Because of weight limits, a lorry can carry a maximum of 20 crates of apples. The weight of a crate of oranges is 3434 the weight of a crate of apples. If 10 crates of apples were loaded into the lorry, what is the maximum number of crates of oranges that the lorry can still accommodate?
A.8
B.9
C.12
D.13
Answer: D.13
Explanation: There's still room for 10 crates of apples. The weight of 10 crates of apples is the same as the weight of 10∗(4/3)=13 1/3 crates of oranges. Because the number of crates has to be an integer, the lorry can accommodate a maximum of 13 crates of oranges.
Answer: D
Question: A certain restaurant offers 8 different salads, 5 different main courses, 6 different desserts. If customers choose one salad, one main course and two different desserts for their meal, how many different meals are possible?
A.120
B.240
C.480
D.600
Answer: D.600
Explanation: In order to select x things from group of n things can be written as nCx
8C1*5C1*6C2= 8*5*15=600 answer is D
Question: A and B together can do a piece of work in 6 days and A alone can do it in 9 days. In how many days can B alone can do it?
A.12 days
B.15 days
C.18 days
D.21 days
Answer: C.18 days
Explanation: Explanation:
A and B can do work 1/6 in 1 day
A alone can do 1/9 work in 1 day
B alone can do (1/6 -1/9) =1/18 work in 1 day
=> complete work can be done in 18 days by B
Answer: Option C
Question: The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 Km/hr. At what time will they meet?
A.10
B.07
C.08
D.11
Answer: D.11
Explanation: Explanation :
Assume that they meet x hours after 8 a.m.
Then, train1,starting from A , travelling towards B, travels x hours till the trains meet
⇒Distance travelled by train1 in x hours = Speed ×Time = 60x
Then, train2, starting from B , travelling towards A, travels (x-1) hours till the trains meet
⇒Distance travelled by train2 in (x-1) hours = Speed ×Time = 75(x-1)
Total distance travelled = Distance travelled by train1 + Distance travelled by train2
=> 330 = 60x + 75(x-1)
=> 12x + 15(x-1) = 66
=> 12x + 15x - 15 = 66
=> 27x = 66 + 15 = 81
=> 3x = 9
=> x = 3
Hence the trains meet 3 hours after 8 a.m., i.e. at 11 a.m.
Answer : D
Question: What was the day of the week on 17th June 1998?
A.Monday
B.Sunday
C.Wednesday
D.Friday
Answer: C.Wednesday
Explanation: Explanation :
17 Jun 1998 = (1997 years + period from 1-Jan-1998 to 17-Jun-1998)
We know that number of odd days in 400 years = 0
Hence the number of odd days in 1600 years = 0 (Since 1600 is a perfect multiple of 400)
Number of odd days in the period 1601-1900
= Number of odd days in 300 years
= 5 x 3 = 15 = 1
(As we can reduce perfect multiples of 7 from odd days without affecting anything)
Number of odd days in the period 1901-1997
= 73 normal years + 24 leap year
= 73 x 1 + 24 x 2 = 73 + 48 = 121 = (121 - 7 x 17) = 2 odd days
Number of days from 1-Jan-1998 to 17-Jun-1998
= 31 (Jan) + 28 (Feb) + 31 (Mar) + 30 (Apr) + 31(may) + 17(Jun)
= 168 = 0 odd day
Total number of odd days = (0 + 1 + 2 + 0) = 3
3 odd days = Wednesday
Hence 17th June 1998 is Wednesday. Answer : Option C
Question: From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is?
A.1/26
B.1/23
C.1/22
D.1/97
Answer: A.1/26
Explanation: Let E1 be the event of drawing a red card.
Let E2 be the event of drawing a king .
P(E1 ∩ E2) = P(E1) . P(E2)
(As E1 and E2 are independent)
= 1/2 * 1/13
= 1/26
Answer:A
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
A.120 cm2
B.112 cm2
C.776 cm2
D.666 cm2
Answer: A.120 cm2
Explanation: The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.
Area of the triangle = 1/2 * 24 * 10 = 120 cm2
Answer: A
Question: Find the area of a parallelogram with base 60 cm and height 16 cm?
A.960 cm2
B.240 cm2
C.480 cm2
D.45 cm2
Answer: A.960 cm2
Explanation: Area of a parallelogram
= base * height
= 60 * 16
= 960 cm2
Answer: A
Question: Anand and Deepak started a business investing Rs. 27,500 and Rs. 85,000 respectively. Out of a total profit of Rs. 45,800, Deepak's share is?
A.Rs. 9400
B.Rs. 34604.4
C.Rs. 8400
D.Rs. 3400
Answer: B.Rs. 34604.4
Explanation: Ratio of their shares = 27500: 85000 = 11 : 34
Deepak's share = 45800* 34/45 = Rs. 34604.4
Answer:B
Question: In a fuel station the service costs $2.20 per vehicle and every liter of fuel costs $0.70. Assuming that you fill up 4 mini-vans and 2 trucks, what will be the total cost, if a mini-van's tank is 65 liters and a truck's tank is 120% bigger and they are all empty?
A.$382.10
B.$395.40
C.$404.30
D.$416.80
Answer: B.$395.40
Explanation: The service cost of 4 vans and 2 trucks is 6*2.20 $13.20
The fuel in 4 vans is 4*65 = 260 liters
The fuel in 2 trucks is 2*65*2.2 = 286 liters
The total fuel (vans + trucks) = 546 liters
The total fuel cost is 546*0.7 = $382.20
The total cost is $382.20 + $13.20 = $395.40
The answer is B.
Question: John has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar bills. If John needs to pay exactly $128, what is the least number of bills he will need to use?
A.14
B.16
C.17
D.19
Answer: B.16
Explanation: Any combination of ten-dollar and five-dollar bills cannot add up to amount ending with 8. John has to use at least 3 one-dollar bills. To gather the rest, $125, John needs to use a minimum of 13 bills: 12 ten-dollar bills and 1 five-dollar bill.
Answer: B
Question: Find the largest number of four digits exactly divisible by 12,15,18 and 27.
A.9720
B.8720
C.9870
D.9950
Answer: A.9720
Explanation: The Largest number of four digits is 9999.
Required number must be divisible by L.C.M. of 12,15,18,27 i.e. 540.
On dividing 9999 by 540,we get 279 as remainder .
Therefore, Required number = (9999-279) = 9720.
Answer is A.
Question: Two pipes P and Q can fill a tank in 5 hours and 6 hours respectively. If both pipes are opened simultaneously, how much time will be taken to fill the tank?
A.4 hours 20 min
B.2 hours 44 min
C.3 hours 50 min
D.3 hours 22 min
Answer: B.2 hours 44 min
Explanation: Explanation:
Part filled by P in 1 hour = 1/5
Part filled by Q in 1 hour = 1/6
Part filled by (P + Q) in 1 hour = ( 1/5 + 1/6) = (11/30)
Time taken to fill the tank is (30/11) = 2 hours 44 min
ANSWER B
Question: One red flower, three white flowers and two blue flowers are arranged in a line such that
I. No two adjacent flowers are of the same colour.
II. The flowers at the two ends of the line are of different colours.
In how many different ways can the flowers be arranged?
A.6
B.4
C.10
D.12
Answer: A.6
Explanation: The total possibilities are W@W@W@ (or) @W@W@W, where 2 blue and 1 red flowers occupy the space marked as @. Hence, the Total number of permutations is 2 x (3! / 2!) = 6.
ANSWER:A
Question: A and B together have Sterling 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
A.Sterling 132
B.Sterling 484
C.Sterling 234
D.Sterling 823
Answer: B.Sterling 484
Explanation: B
Sterling 484
4/15A = 2/5B
A = (2/5 x 15/4)B
A = 3/2 B
A/B = 3/2
A : B = 3 : 2.
B's share = Sterling (1210 x 2/5) = Sterling 484.
Question: A man’s basic pay for a 40 hours’ week is Rs. 200. Overtimes is paid at 25% above the basic rate. In a certain week, he worked overtime and his total was Rs. 300. He therefore, worked for a total of (in hours):
A.56 hrs
B.55 hrs
C.57 hrs
D.59 hrs
Answer: A.56 hrs
Explanation: Basic pay = Rs 200 for 40 hrs or Rs 5 per hour
Overtime rate = 5*1.25= Rs 6.25 per hour.
He recd. Rs 100 extra for additional 100/6.25 = 16 hrs.
so he worked for total 40+16= 56 hrs in the week.
ANSWER:A
Question: A student's mark was wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by 1/2. What is the number of students in the class?
A.40
B.30
C.35
D.29
Answer: A.40
Explanation: Tot no of students = x
the avg marks increased 1/2 due to an increase of 83-63=20 marks
tot increase in the marks = 1/2*x=x/2
hence we can write as x/2 = 20
x=20*2=40
ANSWER A
Question: For every $10 that a billionaire spends, a millionaire spends the equivalent of 10 cents. For every $5 that a millionaire spends, a yuppie spends the equivalent of $1. The ratio of money spent by a yuppie, millionaire, and billionaire can be expressed as
A.1 : 5 : 100
B.1 : 5 : 500
C.20 : 4 : 1
D.100 : 4 : 1
Answer: B.1 : 5 : 500
Explanation: B.........M........Y
10.....0,10......Y
B.........5........1
What I did first was to turn 0.10 to 1 (by multiplying by 10), so that it is easy to find the LCM. This led me to this:
B.........M........Y
100.....1.........Y
B........50......10
Then I multiplied every row by 50 (the LCM of 1 and 50), which led me to this:
B.........M........Y
5000...50.......10
Then I got rid of the extra zero, and in the correct order this is Y:M:B=1:5:500
ANS B
Question: The sum of the two digits of a number is 10. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number?
A.20
B.24
C.28
D.32
Answer: C.28
Explanation: Any two digit number can be written as (10P + Q), where P is the digit in the tens place and Q is the digit in the units place.
P + Q = 10 ----- (1)
(10Q + P) - (10P + Q) = 54
9(Q - P) = 54
(Q - P) = 6 ----- (2)
Solve (1) and (2) P = 2 and Q = 8
The required number is = 28
C)
Question: What will come in place of the x in the following Number series? 5,28,57,88,125
A.134
B.154
C.166
D.178
Answer: C.166
Explanation: 28=23+5
57=29+28
88=31+57
125=37+88
166=41+125
=166
C
Question: A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is?
A.31
B.41
C.51
D.61
Answer: A.31
Explanation: LCM = 30 => 30 + 1 = 31
ANSWER:A
Question: Sum of the numbers from 1 to 18 is
A.210
B.171
C.220
D.105
Answer: B.171
Explanation: Explanation: Sum of first n natural numbers = 1 + 2 + 3 + ..... n = n(n+1)/2
Substitute n = 18.
So S20=18Ã—19/2=171
Correct Option: B
Question: A certain factory produces buttons and buckles at a uniform weight. If the total weight of 2 buttons and 2 buckles is one third of 11 buckles and 3 buttons, then the weight of 3 buttons and 2 buckles is how many times that of 6 buckles and 6 buttons?
A.7/16.
B.4/9.
C.6/11.
D.5/9.
Answer: A.7/16.
Explanation: 2buttons + 2buckles = 1/3(11buckles + 3buttons)
6buttons + 6buckles = 11buckles + 3buttons
3buttons = 5buckles
Weight of 3buttons and 2buckles = 5buckles + 2buckles = 7buckles
Weight of 6buttons and 5buckles = 10buckles + 6buckles = 16buckles
(3buttons and 2buckles) = x * (6buttons and 5buckles)
7 = x*16
x = 7/16
Answer: A
Question: Select the number that is equal to the square root of 8?
A.1.9
B.2.8
C.2.6
D.5.0
Answer: B.2.8
Explanation: The correct answer is 2.8
Let us take squares of all numbers
2.8*2.8=7.84
2.6*2.6=6.76
Difference
8 - 7.84=0.16
8 - 6.76=1.24
Since 0.16 is lesser of the both, 2.8 is closer
Answer is B
Question: Cheese, bologna, and peanut butter sandwiches were made for a picnic in a ratio of 5 to 7 to 8. If a total of 240 sandwiches were made, how many bologna sandwiches
were made?
A.84
B.30
C.38
D.42
Answer: A.84
Explanation: For deciding such task we should calculate all parts 5 + 7 + 8 = 20 parts
and we should calculate how many sandwiches holds 1 part:
240 / 20 = 12 sandwiches in one part
For bologna we have 7 parts so:
7 *12 = 84
Answer is A
Question: A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
A.1350
B.1971
C.9676
D.1679
Answer: A.1350
Explanation: Area = (l + b +2d) 2d
= (75 + 55 +2.5 * 2) 2*2.5 => 675
675 * 2 = Rs.1350
Answer:A
Question: If B and C are digits and 8BC is a 4-digit number that is divisible by 4, which of the following is a possible product of B and C?
A.1
B.2
C.5
D.6
Answer: D.6
Explanation: Try with the options -
A. If BC = 1 , both B and C must be 1
B. If BC = 2 , either B or C must be 1 or 2 ; In that case sum of the digits will be 8 + 1 + 2 = 11 which is not divisible by 3
C. If BC = 5 , either B or C must be 1 or 5 ; In that case sum of the digits will be 8 + 1 + 5 = 14 which is not divisible by 3
D. If BC = 6 , then we can have the following possibilities
i. Either B or C must be 2 or 3 ; In that case sum of the digits will be 8 + 2 + 3 = 13 which is not divisible by 3
ii. Either B or C must be 1 or 6 ; In that case sum of the digits will be 8 + 1 + 6 = 15 which is divisible by 3
E. If BC = 14 , then either B or C must be 2 or 7 ; In that case sum of the digits will be 8 + 2 + 7 = 17 which is not divisible by 4
Thus answer is (D)