NTSE - MAT-2016

In each term the first element moves 3 steps forward to obtain corresponding element of next term, second element is multiplied by 3 to obtain the corresponding element of next term, third element moves 4 step backward to obtain corresponding element of next term and fourth element is decreased by 13 to obtain corresponding element of next term. Thus term obtained is P243I52.

Cube of 0.8 is 0.512
Therefore cube of 0.04 is 0.000064

A takes the 3^rd period.

The one who teaches Sanskrit takes the 4^th period.

The 5^th period is taken by D, who does not teach Hindi or Sanskrit.

There are two periods after and two periods before the lecture of Mathematics.

The lecture of Hindi is between the lectures of Science and Mathematics.

B teaches Science.

E takes the period just before D's period.

So, the final arrangement is as given below:

A takes the 3^rd period.

The one who teaches Sanskrit takes the 4^th period.

The 5^th period is taken by D, who does not teach Hindi or Sanskrit.

There are two periods after and two periods before the lecture of Mathematics.

The lecture of Hindi is between the lectures of Science and Mathematics.

B teaches Science.

E takes the period just before D's period.

So, the final arrangement is as given below:

A takes the 3^rd period.

The one who teaches Sanskrit takes the 4^th period.

The 5^th period is taken by D, who does not teach Hindi or Sanskrit.

There are two periods after and two periods before the lecture of Mathematics.

The lecture of Hindi is between the lectures of Science and Mathematics.

B teaches Science.

E takes the period just before D's period.

So, the final arrangement is as given below:

After interchanging the symbols the expression will be:
- 33 + 11 - 9 + 28 ÷ 4 × 5
= - 22 - 9 + 35 = - 31 + 35 = 4

R (-2) = P, E (+2) = G, A (-2) = Y, S (+2) = U, O (-2) = M, N (+2) = P
Similarly, DIRECT is coded as BKPGAV.

Least number of days = Zeba, 3 days

Pritam, Zeba and Anu is the required order.

Required price = (0.6) (0.4) (1000) = Rs. 240.

Guitar produces music and knowledge comes from book.

Let Zoha's age be x years.
Rita's age = (x + 3) years
Reena's age = (x + 5) years
According to the question: 2x +5 = 3(x – 2)
2x + 5 = 3x - 6
x = 11 years
After solving, we get Rita's age = 14 years.

First we conduct 4 races of 4 sets of horses taking 4 horses in each set.
Let F1, F2 , F3 and F4 and S1, S2 , S3 and S4 be the first 4 and second 4 horses, respectively.
Then the 5^th race will be conducted with all top 4 (F1, F2 , F3 , F4). So, we get the 2 top rankers. For example, take F1 and F2.
So, the final 6^th race will be conducted with F1 and F2 and second rankers of their groups S1 and S2. So, the total number of races conducted is 6.

If we assign number to the alphabets according to their sequence then it will be as 2, 3, 5, 7, 11, ?, 17, 19
We observe that it is series of prime number therefore in place of question mark 13 will come.

We have,
T – S means T is the wife of S
S x B means S is the son of B
B – M means B is the wife of M
S is son of B not daughter of B.

9 + 14 = 23, 23 + 28 = 51, 51 + 56 = 107, 107 + 112 = 219, 219 + 224 = 443
Hence, 107 has to be there in the place of 106.

From first line Ronald is elder to Veena
Ronald > Veena .....(1)
From line: Amilia and Shree are elder to Parul, whose age lies between those of Ronald and Amilia and if Amilia is elder to Veena
Shree > Amila > Parul > Ronald > Veena ...(2)

1² + 5² + 7² = 75
9² + 7² + 8² = 194
Similarly, 8² + 3² + 4² = 89

For 8 beats it takes 7 intervals
7 intervals = 8 seconds
1 interval = 8/7 seconds
10 intervals = 8/7 × 10 seconds = 11.43 seconds

From C and E
Ramesh is shortest and plays volleyball.
From B and D
Neither Kamal nor Shyam is tallest and do not play Kabaddi
From A and F
Kamal > Tarun > Prem
From above information it is clear that Shyam cannot be tallest and shortest and Tarun is taller than Shyam.
Therefore, Shyam is taller than Ramesh.
Combining all statements we get information given below:
Boys are according to the decreasing order of their height.
Umesh > Kamal > Tarun > Prem > Shyam > Ramesh

From C and E
Ramesh is shortest and plays volleyball.
From B and D
Neither Kamal nor Shyam is tallest and do not play Kabaddi
From A and F
Kamal > Tarun > Prem
From above information it is clear that Shyam cannot be tallest and shortest and Tarun is taller than Shyam.
Therefore, Shyam is taller than Ramesh.
Combining all statements we get information given below:
Boys are according to the decreasing order of their height.
Umesh > Kamal > Tarun > Prem > Shyam > Ramesh
 

From C and E
Ramesh is shortest and plays volleyball.
From B and D
Neither Kamal nor Shyam is tallest and do not play Kabaddi
From A and F
Kamal > Tarun > Prem
From above information it is clear that Shyam cannot be tallest and shortest and Tarun is taller than Shyam.
Therefore, Shyam is taller than Ramesh.
Combining all statements we get information given below:
Boys are according to the decreasing order of their height.
Umesh > Kamal > Tarun > Prem > Shyam > Ramesh

As A is present in STAT, RAT and SAY and common code is "δ"
There are two 'T's' in STAT and common code is "θ"
S is common in STAT and SAY and common code is "γ"
Y is common in SAY and common code is "ε"
R is coded as "β"
Therefore, TRAY is coded as θβδε.

Let the amount of work done by 1 worker in 1 day is 1 unit
Total work = 20 x 25 units = 500 units
In first 5 days work done = 5 x 10 units = 50 units
In next 5 days work done = 5 x 15 units = 75 units
In next 5 days work done = 5 x 20 units = 100 units
In next 5 days work done = 5 x 25 units = 125 units
In next 5 days work done = 5 x 30 units = 150 units
So Total 25 days are required to complete the work