In December 2017, India signed a financing agreement for an IBRD loan of USD 250 million (equivalent) for which one of the following projects ?
UPSC CISF-AC-EXE
42. Which one of the following statements about the Directive Principles o
Which one of the following statements about the Directive Principles of State Policy is not correct ?
Statement A is correct as DPSPs aim to promote social and economic justice and welfare.
Statement B is correct as principles similar to DPSPs are found outside Part IV (e.g., promotion of Hindi language, claims of SC/STs to services).
Statement D is correct as DPSPs are intended to achieve the objective of socio-economic justice, contributing to the establishment of a welfare state.
Statement C is incorrect because DPSPs are non-justiciable, meaning they cannot be enforced by courts. Their sanction is primarily moral and political, dependent on public opinion and the ruling government’s commitment.
43. Which one among the following is responsible for the command, control
Which one among the following is responsible for the command, control and operational decisions of nuclear weapons in India ?
44. Which among the following countries in not a founder member of Shangha
Which among the following countries in not a founder member of Shanghai Cooperation Organization ?
45. 25 writers, 20 doctors, 18 dentists and 12 bank employees spent altoge
25 writers, 20 doctors, 18 dentists and 12 bank employees spent altogether ₹ 1,330 in a hotel. However, it was found that 5 writers spent as much as 4 doctors, that 12 doctors spent as much as 9 dentists, and that 6 dentists spent as much as 8 bank employees. Out of the four professional groups, which group spent the maximum amount ?
We are given the following relationships:
1. 5 writers spend as much as 4 doctors: $5w_s = 4d_s \implies w_s = \frac{4}{5}d_s$
2. 12 doctors spend as much as 9 dentists: $12d_s = 9t_s \implies 4d_s = 3t_s \implies t_s = \frac{4}{3}d_s$
3. 6 dentists spend as much as 8 bank employees: $6t_s = 8b_s \implies 3t_s = 4b_s$
Substitute $t_s$ from (2) into (3): $3(\frac{4}{3}d_s) = 4b_s \implies 4d_s = 4b_s \implies d_s = b_s$
So, we have $w_s = \frac{4}{5}d_s$, $t_s = \frac{4}{3}d_s$, and $b_s = d_s$.
The total amount spent is ₹ 1330: $25w_s + 20d_s + 18t_s + 12b_s = 1330$
Substitute the values in terms of $d_s$: $25(\frac{4}{5}d_s) + 20d_s + 18(\frac{4}{3}d_s) + 12d_s = 1330$
$20d_s + 20d_s + 24d_s + 12d_s = 1330$
$76d_s = 1330 \implies d_s = \frac{1330}{76} = 17.5$
Now calculate the amount spent per person for each group:
$d_s = 17.5$
$w_s = \frac{4}{5} \times 17.5 = 14$
$t_s = \frac{4}{3} \times 17.5 = \frac{70}{3} \approx 23.33$
$b_s = 17.5$
Total amount spent by each group:
Writers: $25 \times 14 = 350$
Doctors: $20 \times 17.5 = 350$
Dentists: $18 \times \frac{70}{3} = 6 \times 70 = 420$
Bank Employees: $12 \times 17.5 = 210$
Comparing the total amounts, the Dentists group spent the maximum amount (₹ 420).
46. Find the missing letter. – The question contains a table which is not
Find the missing letter.
– The question contains a table which is not rendered here.
47. Find the odd one out of the following items : EF22, JK42, GH24, VW90,
Find the odd one out of the following items :
EF22, JK42, GH24, VW90, IJ38
– EF: E is the 5th letter, F is the 6th. 5 + 6 = 11. 11 * 2 = 22. (Matches EF22)
– JK: J is the 10th letter, K is the 11th. 10 + 11 = 21. 21 * 2 = 42. (Matches JK42)
– GH: G is the 7th letter, H is the 8th. 7 + 8 = 15. 15 * 2 = 30. The number given is 24. (Does not match GH24)
– VW: V is the 22nd letter, W is the 23rd. 22 + 23 = 45. 45 * 2 = 90. (Matches VW90)
– IJ: I is the 9th letter, J is the 10th. 9 + 10 = 19. 19 * 2 = 38. (Matches IJ38)
All items except GH24 follow this pattern.
48. Delhi is bigger than Pune, Kanpur is bigger than Raipur. Jhansi is not
Delhi is bigger than Pune, Kanpur is bigger than Raipur. Jhansi is not as big as Pune, but is bigger than Kanpur. Which one of the following is the smallest city ?
1. Delhi is bigger than Pune: Delhi > Pune
2. Kanpur is bigger than Raipur: Kanpur > Raipur
3. Jhansi is not as big as Pune (i.e., smaller than Pune): Jhansi < Pune 4. Jhansi is bigger than Kanpur: Jhansi > Kanpur
Let’s combine these inequalities:
From (3) and (4): Pune > Jhansi and Jhansi > Kanpur. Combining these gives Pune > Jhansi > Kanpur.
From (2) and the result above (Jhansi > Kanpur): Jhansi > Kanpur > Raipur.
From (1) and the result Pune > Jhansi: Delhi > Pune > Jhansi.
Combining all the relationships, we get a clear order of size:
Delhi > Pune > Jhansi > Kanpur > Raipur.
The city at the smaller end of this chain is Raipur.
Delhi > Pune
Pune > Jhansi (from Jhansi < Pune) Jhansi > Kanpur
Kanpur > Raipur
Combining these gives Delhi > Pune > Jhansi > Kanpur > Raipur.
49. How many times in a day are the hour hand and the minute hand of a wal
How many times in a day are the hour hand and the minute hand of a wall clock straight (i.e., the angle between them is 180°)?
The hands are 180° apart once in every hour interval, except for the interval between 6 o’clock and 7 o’clock, where they are 180° apart exactly at 6 o’clock. The 6 o’clock position is counted in both the 5-6 interval and the 6-7 interval if we consider specific time points, but considering distinct occurrences in a 12-hour cycle, it happens 11 times.
For example, between 12 pm and 12 am, the hands are opposite at approximately 12:33, 1:38, 2:44, 3:49, 4:55, 6:00, 7:05, 8:11, 9:16, 10:22, 11:27. (These are approximate times, the exact times are fractions). This is 11 distinct times in a 12-hour period.
A full day is 24 hours, which consists of two 12-hour periods.
Therefore, in 24 hours, the hands will be straight (180° apart) 11 times + 11 times = 22 times.
For the hands to be straight, $\theta = 180^\circ$.
$t = \frac{2}{11} (30H \pm 180)$.
Let’s check for H from 1 to 12.
For H=6, $t = \frac{2}{11} (180 \pm 180)$. $t = \frac{2}{11} (360) \approx 65.45$ min (past 6) or $t = \frac{2}{11} (0) = 0$ min (past 6). This confirms 6:00 is one time.
For H=5, $t = \frac{2}{11} (150 \pm 180)$. $t = \frac{2}{11} (330) = 60$ min (past 5, which is 6:00) or $t = \frac{2}{11} (-30)$ (not valid in this hour).
The hands are exactly opposite at 6:00. This instance is the boundary point that is counted only once in a 12-hour period when counting the intervals between hours.
The number of times the hands are 180° apart is 11 in 12 hours, and 22 in 24 hours.
50. In a bag, there are notes of ₹ 10, ₹ 20 and ₹ 50 in the ratio of 1 : 2
In a bag, there are notes of ₹ 10, ₹ 20 and ₹ 50 in the ratio of 1 : 2 : 3. If the total money is ₹ 1,000, how many notes of ₹ 10 are there ?
Let the number of ₹10 notes be x.
Then, the number of ₹20 notes is 2x.
And the number of ₹50 notes is 3x.
The total value of the money in the bag is the sum of the values of each type of note:
Value from ₹10 notes = x * ₹10 = 10x
Value from ₹20 notes = 2x * ₹20 = 40x
Value from ₹50 notes = 3x * ₹50 = 150x
Total money = 10x + 40x + 150x = 200x.
We are given that the total money is ₹1,000.
So, 200x = 1000.
Solving for x:
x = 1000 / 200
x = 5.
The number of ₹10 notes is x, which is 5.
Number of ₹20 notes = 2 * 5 = 10 (Value = 10 * ₹20 = ₹200)
Number of ₹50 notes = 3 * 5 = 15 (Value = 15 * ₹50 = ₹750)
Total value = ₹50 + ₹200 + ₹750 = ₹1000. This confirms the calculation.