A father is 30 times older than his son. 18 years later, he will be only thrice as old as his son. Father's present age in years is
F = 30 S
or, S = F/30
Also, F + 18 = 3(S + 18)
∴ F + 18 = 3( F/30 + 18)
or, F + 18 = F/10 + 54
or, F - F/10 = 36 or, 9/10 F = 36
or, F = 36 x 10/9 = 40 yrs
The difference between S.I and C.I on certain amount of money for 2 years at 4% is Rs 8. Find the sum
CI2 - SI2 = PR2 /(100)2
⇒ 8 = P(16) /(100)2
⇒ 80000/16 = P
⇒ P = Rs 5000
If x = cos2θ + sec2 θ then
0 ≤ cos2 θ ≤ 1;
1 ≤ sec2 θ ≤ ∞
Hence sec2 θ + cos2 θ ≥ 2
sin (270o + θ)=
2.375 × 5.22 ÷ .87 - 1.425 × .02 = ?
ABCD is a cyclic quadrilateral. Diagonals AC and BD meets at P. If ∠APB = 110o and ∠CBD = 30o, then ∠ADB measures
∠BPC = 180o - 110o = 70o = ∠APD
∵ ∠DBC = ∠CAD = 30o
∴ ∠ADB = 180o - (70o + 30o) = 180o - 100o = 80o
Replication of influenza A virus is blocked by a three ringed compound named as
If + means -, - means ×, × means ÷ and ÷ means +, then
36×2+8÷8=?
A cistern is filled in 5 hrs and it takes 6 hrs when there is a leak in its bottom. If the cistern is full, in what time shall the leak empty it?
Let the leak empties the tank in x hours
Then 1/5 - 1/x = 1/6
1/x = 1/5 - 1/6 = 1/30
∴ The leak will empty the tank in 30 hours
6.25 ÷ 0.0025 = ?
If a - b = 3 and a2+b2 = 29, find the value of ab.
The square root of 4.9/12.1 is
Let PQ = 64 km A man starts from P and walks 32 km on first day, on second day he walks only 16 km, on third day he walks 8 km, on fourth day he walks just half, i.e. 4 km. He will reach Q in
Distance between PQ = 64 km
Distance covered on the 1st day = 64/2 = 32 km
Distance covered on the 2nd day = 32/2 = 16 km
Like wise Total distance covered = 32 + 16 + 8 + 4 + ..........
This is an infinite geometric series whose first term is 32 and common ratio = 1/2
∴ Sum of the infinite series = a/1 - r
Where a is the first term and r common ratio = 32/1/2 = 64
Hence the man will never reach Q
A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?
B's 10 day's work = 10 x 1/15 = 2/3
Remaining work = 1 - 2/3 = 1/3
1/3 work is done by A in = 18 x 1/3 = 6 days
The Ambanies were recently on vacation and bought each of their four children (one of who is Madhuri) a stuffed animal as a souvenir. Hoping to avoid confusion and squabbles, they bought four animals which were clearly different types (one was hippo) and different colours (one was yellow). Using the following clues, can you find each child’s are (no two children are the same age and the ages are all one year apart, expressed in whole number of years) and the type and colour of the stuffed animal which each Ambani Child received?
1. Karim was so excited by her present that the ripped off the wrapping from her package first, followed by the three-year-old. Next the bunny unwrapped and finally the blue toy was uncovered.
2. The eldest child (who was not Ravikant) received an orange animal as a gift.
3. Sandeep, who did not received the teddy bear, is a year younger than the child who received the lamb (which was not blue).
4. The two-year-old’s toy was soon forgotten when a bright red toy was unwrapped immediately after it.
Q. What was the colour of the animal that the youngest Ambani got is gift?
The Ambanies were recently on vacation and bought each of their four children (one of who is Madhuri) a stuffed animal as a souvenir. Hoping to avoid confusion and squabbles, they bought four animals which were clearly different types (one was hippo) and different colours (one was yellow). Using the following clues, can you find each child’s are (no two children are the same age and the ages are all one year apart, expressed in whole number of years) and the type and colour of the stuffed animal which each Ambani Child received?
1. Karim was so excited by her present that the ripped off the wrapping from her package first, followed by the three-year-old. Next the bunny unwrapped and finally the blue toy was uncovered.
2. The eldest child (who was not Ravikant) received an orange animal as a gift.
3. Sandeep, who did not received the teddy bear, is a year younger than the child who received the lamb (which was not blue).
4. The two-year-old’s toy was soon forgotten when a bright red toy was unwrapped immediately after it.
Q. Which of the following statements is not correct?
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