1. Two boys begin together to write out a booklet containing 535 lines. The first boy starts with the first line, writing at the rate of 100 lines an hour; and the second starts with the last line then writes line 534 and so on, backward proceeding at the rate of 50 lines an hour. At what line will they meet?
Answer: 357th line
Explanation:Writing ratio = 100:50= 2:1
Since equal quantities are taken,
Therefore in a given time, first boy will be writing the line number
2/3 * 535
=> 356 2/3 or 357th line.
Hence, both of them shall meet on 357th line.
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2. The day on 5th March of a year is the same day on what date of the same year?
Answer: 5th Nov
Explanation:Since any date in March is the same day of the week as the
corresponding date in November of that year.
So, the same day falls on 5th November.
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3. Three vehicle speed ratio is 1:2:3 & time ratio is 3:2:1. What is the distance ratio?
Answer:
Explanation:Speed, let ratio be x................x : 2x : 3x
Time, let ratio be y..................3y : 2y : y
since distance = speed * time =3xy : 4xy :3xy = 3:4:3
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4. A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km downstream in 6 hours and 30 minutes. The speed of the stream is
Answer:
Explanation:if speed of the boat be x and stream speed be y
from the given question,
24/(x-y) + 28/(x+y) = 6
30/(x-y) + 21/(x+y) = 6.5
Taking 1/(x-y) as X and 1/(x+y) as Y
24X + 28Y = 6
30X + 21Y = 6.5
solving for X and Y==>
X = 1/6 and Y = 1/14
so x-y = 6 and x+y = 14
hence
x = 10 kmph and y = 4kmph
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5. In a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is :
Answer:
Explanation:Let no of cows be x, no of hens be y.
So heads=x+y
Legs=4x+2y
Now, 4x+2y = 2(x+y)+ 14
2x = 14
x = 7.
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6. If 8 men and 6 boys can dig a well in 2 days, and 6 men and 2 boys can do it in 3 days, how long will 5 men and 3 boys take to do it?
Answer:
Explanation:Let 1 man's 1 day's work = x and 1 boy's 1 day's work = y.
so 8x+6y=1/2,& 6x+2y=1/3 on solving these two equation we get x=1/20 and y=1/60 days..5 men(x)+3 boy(y) 1 days work =(5/20+3/60)=3/10
so they will complete the work in 3.33 days.
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7. Find the difference of minimum number of number required to form every number from 1 to 1234 and 1 to 4321.
Answer:
Explanation:In 1234
Unit place 1 to 1234 can be formed using 0 to 9 digits. i.e., 10 digits.
10's can be formed using 0 to 9 digits. i.e., 10 digits.
100's can be formed using 0 to 9 digits. i.e., 10 digits.
1000's can be formed using only one digit, 1. i.e., 1 digit.
total no of numbers required is 10 + 10 + 10 + 1 = 31.
in 4321 it is 10 + 10 + 10 + 4 = 34.
34-31=3
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8. The ratio of the ages of Mona and Sona is 4:5. Twelve years hence, their ages will be in the ratio of 5:6. What will be Sona's age after 6 years?
Answer:
Explanation:Let their present ages be 4x & 6x
Then (4x + 12)/(5x + 12) = 5/6 ; x=12
Sona's age after 6 years = (5x +6) = 66 years
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9. 2 corner most boxes of a chess board(diagonally opposite) haven been cut out there's a rectangular block = 2 sqaures of chess board , how many such blocks can be placed on the chess board ?
Answer:
Explanation:chess board has 64 squares.so we can place 32 rectangular blocks,but 2 are cut off from the corner.
hence 32-2=30 blocks
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10. A dealer professing to sell his goods at cost price, uses a 900 gm weight for a kilogram. His gain percent is
Answer:
Explanation:formula is: error/(truevalue-error)*100
so 100/(1000-100)*100=100/900*100 = 11 1/9
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