Jharkhand Police Constable (Paper-II) Mock Test - 6 - Jharkhand Police Constable MCQ

1st term = 120
2nd term = 120-21 = 99
3rd term = 99-19 = 80
4th term = 80 - 17 = 63
5th term = 63 - 15 = 48

⇒ For every next term , preious term is substracteed in the order: -21, -19, -17, -15, -13,.....

So, missing term = 48 - 13 = 35

Efficiency of A = 100 / 12 = 8.33%
Efficiency of B = 100 / 15 = 6.66%
Combined efficiency of A and B = 8.33 + 6.66 = 15%
Number of days taken by A and B, when working together = 100 / 15 = 
Note : Efficiency x Time period = Fixed amount of work
Also, in terms of percentage total work to be done is considered as 100% (in fraction it is 1), unless otherwise stated.
Alternatively : It can be done through unitary method, also.

Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively.
Then, 14x : 8y : 7z = 5 : 7 : 8.
Now,

(x+40/s) + 5/4 = 40/s + 5x/4s — — — 1
(x+40/s) + 1 = 80/s + 5(x-40)/4s — — — 2
s = 40

X+x+2+x+4 = 40+(x+x+2+x+4)/3
3x+6 = 40+ (3x+6)/3
(9x+18 – 3x-6)/3= 40
6x + 12 = 120
X = 108/6 = 18
18+2 = 20

Let (17)^3.5 x (17)^x = 17⁸.

Then, (17)^{3.5 + x} = 17⁸.

∴ 3.5 + x = 8

⇒ x = (8 – 3.5)

⇒ x = 4.5

Required average = (3 + 5 + 7 + 11 + 13 + 17 + 19
+ 23 + 29 + 31)/10 = 158/10 = 15.8.

The given sequence is a combination of two series:

• 13, 24, 35, 46, 57
• 32, 43, ?, 65, 76

In both series are in A.P. with common difference of 11.

So, missing term = 43 + 11 = 54.

1st term = 6
2nd term = (6 * 2) + 1 = 13
3rd term = (13 * 2) -1 = 25
4th term = (25 * 2) +1 = 51
5th term = (51 * 2) - 1 = 101
6th term = ?

⇒ For every even position term, the previous term is multiplied by 2 and then  1 is added and for the odd positioned term, the previous term is multiplied by 2 and 1 is substracted

So, missing term = (101 * 2) + 1 = 203.

∴ Number of days required by Asha to finish the work alone = 20
  ► ∴ (4 x = 4 x 5)
(Alternatively, from percentage change graphic, number of days taken by Asha will be 20% less than Usha, if efficiency of Asha is 25% more than Usha)
Now, since Asha and Usha did work together for last 5 days = 5 x 9 = 45%
(Since efficiency of Asha = 5% and Usha's efficiency = 4%)
It means Asha completed 55% work alone
∴ Number of days taken by Asha to complete 55% work = 55 / 5 = 11

A : B : C
= (20,000 × 24) : (15,000 × 24) : (20,000 × 18)
= 4 : 3 : 3.
So B's Share
total share 4+3+3 = 10
B share would be 3/10

First car : 5,12,17
Second Car: 4,3,17

In 8 years, the interest earned = 200% Thus, per year interest rate = 200/8 = 25% To become 8 times we need a 700% increase 700/25 = 28 years.

1st term = 2 x 3 = 6
2nd term = 6 x 3 = 18
3rd term = 18 x 3 = 54,.....
⇒ Series is a G.P. in which a = 2, r = 3.

∴ 8th term = ar^8-1 = ar⁷ = 2 x 3⁷ = (2 x 2187) = 4374.

Let the amount invested by Q = q.

12*x = x/2(2*4+(x-1)*1)
X= 17
D = 17*12 =204

Akbars’ share should be such that at 4% p.a. compound interest it should become equal to Amar’s share in 2 years. Checking thorugh the options it is clear that option (a) fits perfectly as 1875 would become 2028 in 2 years @4% p.a. compound interest.

a³ + b³– a² + b² + 2a – 3b
(-2)³ + (-5)³ – (-2)² + (-5)² + 2(-2) – 3(-5) = -8 -125-4+25-4+15 = -101

5^a = 3125    ⇔    5^a = 5⁵

⇒ a = 5.

∴ 5^{(a – 3)} = 5^{(5 – 3)} = 5² = 25.

The sum of the first n odd numbers = n². In this case n = 10 → Sum = 10² = 100.
Required average = 100/10 = 10.

Let Length = 100, Breadth =100 Hence, Area = 10000

Now, Length =130, Breadth = 75 Hence, Area = 130 x 75 = 9750 

Clearly the pattern is:

► 90 = 30 x 3,
► 180 = 6 x 30,
► 12 = 2 x 6,
► 50 = 25 x 2,
► 100 = 4 x 25,
► 200 = 50 x 4.

So, missing term = 3 x 50 = 150.

Alternatively,

The pattern is the combination of 2 series:

• 90, 180, 12, 50, 100, 200, ?
• 3, 50, 4, 25, 2, 6, 30, 3

after reversing 2nd series, i.e. 3, 30, 6, 2, 25, 4, 50, 3
on dividing term of the same position would give next term of reversed series.
i.e.

► 90/3 = 30
► 180/30 = 6
► 12/6 = 2
► 50/2 = 25
► 100/25 = 4
► 200/ 4 =50
► ?/50 = 3

So, missing term = 3 x 50 = 150.

Laissez-faire is an economic theory that advocates minimal government intervention in economic affairs, including trade. It suggests that free markets should operate without restrictions, and the government should not interfere with the pricing, production, or distribution of goods and services.

The New Economic Policy emphasized privatization, reducing government intervention, and promoting market-oriented reforms.

The manufacturing industry involves the production of goods on a large scale using machines, tools, and skilled labor. It is an essential part of economic development and provides finished products for consumption.