Test: Quantitative Techniques- 3 - CLAT MCQ

Solution:

Let's assume the number is x

- According to the given information, one-ninth of the number exceeds its one-tenth by 4.
- This can be represented as: x/9 - x/10 = 4
- Simplifying the equation, we get: (10x - 9x) / 90 = 4
- Solving the equation, we find: x = 360

Therefore, the number is 360. Hence, the answer is B: 360.

As we know that A coin has two faces head and tail.
Total (Exhaustive) number of cases = 2³ = 8
Possible outcomes = (HHH, HHT, HTH, THH, HTT, TTH, THT, TTT)
Favourable number of cases = 3

Required probability = 3/8

Let the angles be x°
Then,
We know sum of all interior angles of a triangle is 180° so According to problem we must have to find out the value of x° to be correct.

3x + 4x + 5x = 180
⇒ 12x = 180
⇒    x = 180/12
⇒    x = 15

Therefore x° = 15

Here the largest in ratio is 5 so we can write that 5x is the largest angle.

5x = 5×15 = 75°

So second no. (B) =

Reduction in area = πr²−πr²​/4 =3πr²/4

% reduction = 3πr²/(4 x πr²) x 100

= 75%

 The work requires 12 persons x 4 days = 48 person-days.

A work that is 8 times that size will need 48x*8 = 384 person-days.

Now if the work is to be done in 4/2 days or 2 days, we need

384/2 = 192 persons.

Let the capacity of the tank be 60 units (LCM of 15, 20 & 30).
Pipe A fills = 60/15​=4 units / hour
Pipe B fills = 60​/20=3 units / hour
Pipe A fills = 60/20​=2 units / hour
(A + B + C)'s together per hour work = (4+3−2)=5 units/hour
Time taken by all three to fill an empty tank = 60/5​=12 hours.

Let the C.P. of each article be 1 Rs. 

∴ CP of 9 article = 9 Rs. 

∴ SP of 9 article = 8 Rs. 

∴ Loss = 1 Rs.

We'll apply the divisiblity rule for 11

Odd place: 7+∗+9+5=21+∗

Even place: 8+3+4=15

(21 + *) - (15) = either 11 or 0

(21 + *) - 15 = 11

21 + * = 26

* = 5

Milk : water = 2 : 1

let ratio be 2a and a

so, 2a + a = 45       

a = 15

∴ Milk=2×15=30 litres

 Water=1×15=15 litres 


60 = 15 + x

x = 45 litres

(A+B)’s 1 day’s work = 1/10
A’s 1 day’s work = 1/30
∴ B’s 1 day’s work = 1/10 - 1/30
=2/30 = 1/15

Hence B can alone complete the work in 15 days.
 

Let the original price of the tea be Rs 100.
The price of the tea is increased by 20%.
Increased price of the tea = 100 + (20% of 100) = 100 + 20 = Rs 120.
Increase in price = 120 - 100 = Rs 20
Tea of cost Rs 20 is to decreased out of the increased cost of Rs 120.
Percentage decrease = (20/120) x 100 = 100/6 = 

31²=961

32²=1024

33²=1089

34²=1156

Least number of four digits = 1000.

(32)² is more than 1000 by 24.

So, the least number to be added to 1000 is 24.

1000 + 24 = 1024

Therefore, the smallest four digit number which is a perfect square is 1024.

Ist Discount = 30%

Net two successive Discount =

20+10−(20×10)/100
= 2%
So difference = 2% of 550 = Rs 11

According to question 

MP = 50,000

Let the length of the train be x metres 

Then Speed of the train in passing through the platform 

and speed of the train in passing the man = 

Since both the speeds are the same,

∴ speed of the train = 

7^x = 1/343

7^x = 1/(7³)

7^x = 7^{(- 3)}

x = - 3

Given, The average of runs scored by a player in 10 innings = 50
Let the number of runs scored in 11th innings be n.
According to question ,
∴ 10 × 50 + n = 11 × 52
⇒ 500 + n = 572
⇒ n = 572 – 500 = 72 runs