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11. How many such pairs of letters are there in the word SENDING, each of which has as many letters between its two letters as there are between them in the English alphabets?

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Solution:
Only Three such pairs,
I(N)G
D(IN)G and
S(ENDI)N
12. A lad was asked his age by his friend . The lad said, "The number you get when you subtract 25 times my age from twice the square of my age will be thrice your age". If the friend's age is 14, then the age of the lad is :

Discuss
Solution:
Option Checking :
Considering option 3,
2 *(14)2 - 25*14 = 3*14.

Alternatively :

Let the age of the lad be x then,
2x2 -25x = 42.
2x2 -25x-42 = 0.
Either solve the quadratic equation or put the options to get the value.Option 3 is correct.
13. A Parking lot Contains 160 Vehicles. Each Vehicle is either a car or a truck, and each vehicle is either red or green. 70 vehicles are red, and 120 vehicles are cars. If there are 18 green trucks, how many red cars are there?

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Solution:
Total number of Vehicles = 160
There are 70 red vehicles thus rest 90 are green vehicles,
out of which 18 are green trucks then we get,
Green cars = 90 - 18 = 72.
Given, Number of cars = 120.
Then, number of red cars,
= 120 - 72
= 48 Red cars.
14. Grass in lawn grows equally thick and in a uniform rate. It takes 24 days for 70 cows and 60 days for 30 cows to eat the whole of the grass. How many cows are needed to eat the grass in 96 days?

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Solution:
Let initially X grass was present there,and it is increasing by Y grass per day, then for the first condition We get,
X+24*y = 24*70 ----(1)
For the 2nd condition, we have,
X+60*Y = 60*30----(2) Now, On solving equation (1) and (2), we get
X = 1600 and
Y = 10 /3
Third Condition,
X+96*Y = 96 *N -----(3) [N = Number of Cows required]
Putting the values of X and Y in equation (3), We get
N = 20.
15. Mohan is older than Prabir. Suresh is younger than Prabir. Mihir is older than Suresh, but younger than Prabir. Who among the four is youngest?

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Solution:

Mohan is older than Prabir.

Prabir < Mohan

Suresh is younger than Prabir means Prabir is older than Suresh.

Suresh < Prabir < Mohan

Mihir is older than Suresh but younger than Prabir.

Suresh < Mihir < Prabir < Mohan

Suresh is the youngest.

16. A man is 24 years, older than his son. In two years, his age will be twice the age of his son. The present age of his son is

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Solution:

Let the present age of his son be X years.

So, present age of his father = X+24 (as he is 24 years older than his son)

After 2 years, father's age become (X+24+2) years and Son's age will be (X+2).
Now, according to question,
X+24+2 = 2*(X +2)
Or, X = 22 years.
Son's present age = 22 years.

17. A family went for a vacation. Unfortunately, it rained daily for 13 days when they were there. But whenever it rained in the mornings, they had clear afternoons and vice versa. In all, they enjoyed 11 mornings and 12 afternoons. How many days in all did they stay there?

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Solution:

Total days of rainfall = 13.
11 Mornings enjoyed and 12 Afternoons enjoyed, so it means there was rain on 6 mornings and 7 afternoons.
So, extra days without rain are 5 days (11-6 or 12-7).
Total no of day they live,
= No. of days of rain + Days without rain,
Or, 13 + 5 = 18days.

18. M scores more run than N but less than P. Q scores more than N but less than M. Who is the lowest scorer?

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Solution:

M scores more run than N.(M > N)M scores less than P. (P >M >N) Q scores more than N but less than M. So,Sequence of scoring run is P >M>Q>N. So, N is the lowest scorer.

19. Harish sits on the right of Satish. Satish sits between Manish and Girish. Who sits farthest to the right?

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Solution:

Sequence of seating from right to left is:
Harish, Manish, Satish and Girish.
So, Girish sits farthest to right.

20. If we substitute 1 to 24 indicating hours on the dial of a clock day and night by the letters of the English alphabet their order starting with C which letter will represent 16 hours?

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Solution:

The alphabet starting with C, so
1st Hour = C
2nd Hour = D
3rd Hour = E, and So on. Then we get,
16th Hour = R.
16 hour is represented by letter R.

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