TCS NQT Questions on Ration Proportions and Averages Quiz 1

Let the fourth term be x.

Thus 18, 81, 4, x are in proportion.

Product of extreme terms = 18\times x

Product of mean terms = 81\times 4

Since, the numbers make up a proportion

18\times x = 81\times 4

x = 18

Hence fourth term = 18



Video solution:

Sum of the terms of the ratio = 3 + 4 = 7

Sum of total numbers = 63

Therefore, first number = \frac{3}{7} × 63 = 27

Second number = \frac{4}{7} × 63 = 36

Therefore, Mini got 27 chocolates



Video solution:

let ratio be x.

Hence no. of coins be 5x ,9x , 4x respectively

Now given total amount = Rs.206

=> (.50)(5x) + (.25)(9x) + (.10)(4x) = 206

we get x = 40

=> No. of 50p coins = 200

=> No. of 25p coins = 360

=> No. of 10p coins = 160



Video solution:

Let the price of a chair be c and table be t

given, half the price of a chair is equal to twice the price of a table

\frac{1}{2} c = 2 t

\frac{c}{t} = 4



Video solution:

Let the people in the city be 100
Congress supporters = 60% of 100 = \frac{60}{100}\times 100= 60
40% are BJP=40% of 100= \frac{40}{100}\times 100 = 40
out of 60,75% voted for congress=75%(60)= \frac{75}{100}\times 60 =45
out of 40, 20% voted for congress=20%(40) = \frac{20}{100}\times 40=8
Total=45 + 8 = 53
Total percent= \frac{53}{100}\times 100

=53%



Video solution:

A+B+C=20706
A=\frac{10}{123} (B+C)
C=\frac{1}{10} (A+B)
to find out C-
solve using the equation of C i.e C=\frac{1}{10} (A+B)
=> A+B=10C
Substitute A+B=10C into the main equation i.e A+B+C=20706
Thus, 10C+C=20706
=> 11C=20706
=> C=1882.36 which is approximately 1882



Video solution:

\frac{5x - 1000}{4x - 1000} = \frac{14}{11}

=> x=3000. hence, Income of A = 5x = 5*3000 = 15000.



Video solution:

ratio of sheep: horse= 4x:7x
food for 1 horse = 230
food for 7x horses = 230*7x= 1610x

total quantity of horse food per day  = 12880

to calculate x:   1610x = 12880

x=12880/1610
x=8
no of sheep = 4x=4*8=32



Video solution:

Total amount=60 cm long .
He gives Raja \frac{1}{2} of it i.e

=\frac{1}{2}*60

=30 cm long.
left with Hari now=60-30=30
Again he gives Gopal \frac{1}{4}th of what is left i.e=\frac{1}{4}*30=7.5
NOw left=30-7.5=22.5
Now let he gave Sahil=x,
Then According to question, 22.5-x=\frac{1}{10}*60
After solving this we get x=16.5 cm which is required.



Video solution:

adults=x
teenagers=30x

\frac{x + 5}{30x + 50} = \frac{1}{25}
x=15



Video solution: