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Accounting & Finance QUESTION #6059

A machine has an original cost of Rs. 19,00,000 and installation charges of Rs. 1,00,000. Its useful life is 5 years and residual value is Rs. 40,000. Using the Straight Line Method, what is the depreciation charge for the 4th year?

Rs. 372,000
Rs. 400,000
Rs. 392,000✔️
Rs. 352,000

Correct Answer Logic:

Total cost $= 19{,}00{,}000 + 1{,}00{,}000 = Rs.\ 20{,}00{,}000$

Depreciable amount $= 20{,}00{,}000 - 40{,}000 = Rs.\ 19{,}60{,}000$

Annual depreciation (SLM) $= \dfrac{19{,}60{,}000}{5} = Rs.\ 3{,}92{,}000$

Under the Straight Line Method, depreciation is equal every year. So the 4th year's depreciation is also Rs. 3,92,000. There is no change between years in SLM.

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Disaster Management QUESTION #6549

Question 2

In the context of DRR financing, what makes performance-based allocation more effective than traditional budget distribution?

It provides more money
It links funding to demonstrated outcomes, encouraging accountability and effective implementation✔️
It's simpler to administer
It reduces corruption automatically

Correct Answer Logic:

Sections 9.1 and 9.4 propose performance-based mechanisms that incentivize effective DRR implementation. Linking allocations to measurable outcomes (risk reduction, preparedness levels) encourages accountability, innovation, and efficient resource use compared to automatic entitlements.

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Chemistry QUESTION #446

Question 3

Alkanes containing __________ carbon atoms are waxy solids.

up to 4
5 to 17
18 or more✔️
None of these

Correct Answer Logic:

Alkanes with 18+ carbons are waxy solids

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General Abilities QUESTION #2822

Question 4

If 15 workers can complete a job in 24 days, how many workers are needed to complete it in 9 days?

30
35
40✔️
45

Correct Answer Logic:

Using inverse proportion: $\text{Workers} \times \text{Days} = \text{constant}$. $15 \times 24 = x \times 9$. $x = \dfrac{15 \times 24}{9} = \dfrac{360}{9} = 40$ workers.

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Civil / Architecture QUESTION #2367

Question 5

In open channel hydraulics, the specific energy $E$ at a cross-section with depth $y$, velocity $V$, and discharge per unit width $q$ is given by $E = y + \dfrac{V^2}{2g}$. The critical depth $y_c$ for a rectangular channel, at which specific energy is minimum for a given discharge $q$, is:

$y_c = \sqrt[3]{\dfrac{q}{g}}$
$y_c = \sqrt[3]{\dfrac{q^2}{g}}$✔️
$y_c = \sqrt{\dfrac{q^2}{g}}$
$y_c = \left(\dfrac{q^2}{g}\right)^{2/3}$

Correct Answer Logic:

Critical depth for a rectangular channel: $y_c = \left(\dfrac{q^2}{g}\right)^{1/3} = \sqrt[3]{\dfrac{q^2}{g}}$. At critical depth, the Froude number $Fr = \dfrac{V}{\sqrt{gy}} = 1$. For $y < y_c$: supercritical flow ($Fr > 1$); for $y > y_c$: subcritical flow ($Fr < 1$). The minimum specific energy $E_{min} = \dfrac{3}{2} y_c$.

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Home Economics QUESTION #6283

Question 6

Which type of floor plan features the living room, dining room, and kitchen in one continuous space?

Closed Floor Plan
Open Floor Plan✔️
Split-level Plan
Traditional Plan

Correct Answer Logic:

Open floor plans eliminate partition walls to create a sense of space and connectivity.

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Chemistry QUESTION #5525

Question 7

Match the drugs with their correct pharmacological classification: (A) Norethindrone → ?, (B) Ofloxacin → ?, (C) Equanil → ?; Options: (P) Antibiotic, (Q) Anti-fertility, (R) Hypertension, (S) Analgesic

$(A)\to(Q);\ (B)\to(R);\ (C)\to(S)$
$(A)\to(Q);\ (B)\to(P);\ (C)\to(R)$✔️
$(A)\to(R);\ (B)\to(P);\ (C)\to(S)$
$(A)\to(R);\ (B)\to(P);\ (C)\to(R)$

Correct Answer Logic:

Norethindrone is a synthetic progesterone used as an anti-fertility (contraceptive) drug → (Q). Ofloxacin is a fluoroquinolone antibiotic → (P). Equanil (meprobamate) is a tranquilizer used to control anxiety and hypertension → (R). Correct match: $A \to Q,\ B \to P,\ C \to R$.

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Math (Module-1) QUESTION #5464

Question 8

For the linear function $f$, the table shows: $x=0, f(x)=29$; $x=1, f(x)=32$; $x=2, f(x)=35$. Which equation defines $f(x)$?

$f(x) = 3x + 29$✔️
$f(x) = 29x + 32$
$f(x) = 35x + 29$
$f(x) = 32x + 35$

Correct Answer Logic:

The slope is $\frac{32-29}{1-0} = 3$ and the $y$-intercept is $29$ ($f(0)=29$).

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Physics QUESTION #7846

Question 9

Momentum of a moving photon is:

mc²
λ/h
h/λ✔️
zero

Correct Answer Logic:

p = E/c = hν/c = h/λ.

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Chemistry QUESTION #7535

Question 10

25 mL of an HCl solution reacts completely with 30 mL of 0.1 M Na$_2$CO$_3$. What volume of the same HCl solution is needed to titrate 30 mL of 0.2 M NaOH?

25 mL
75 mL
50 mL
12.5 mL✔️

Correct Answer Logic:

Step 1 — Find molarity of HCl:
$\text{Na}_2\text{CO}_3 + 2\text{HCl} \to 2\text{NaCl} + \text{H}_2\text{O} + \text{CO}_2$
Moles Na$_2$CO$_3 = 0.030 \times 0.1 = 3\times10^{-3}\ \text{mol}$
Moles HCl needed $= 2 \times 3\times10^{-3} = 6\times10^{-3}\ \text{mol}$
$M_{\text{HCl}} = \dfrac{6\times10^{-3}}{0.025} = 0.24\ \text{M}$

Step 2 — Volume for NaOH:
$\text{NaOH} + \text{HCl} \to \text{NaCl} + \text{H}_2\text{O}$
Moles NaOH $= 0.030 \times 0.2 = 6\times10^{-3}\ \text{mol}$
$V_{\text{HCl}} = \dfrac{6\times10^{-3}}{0.24} = 0.025\ \text{L} = \mathbf{25\ \text{mL}}$

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Math (Module-1) QUESTION #5458

Question 11

What percentage of $300$ is $75$?

$25\%$✔️
$50\%$
$75\%$
$225\%$

Correct Answer Logic:

$\frac{75}{300} \times 100\% = 25\%$

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Logical Reasoning QUESTION #4430

Question 12

The virus spreads rapidly in the town. It infected the people — First day: $8$, Second day: $16$, Third day: $32$. What will the number of infected people be on the next day?

44 people
56 people
64 people✔️
74 people

Correct Answer Logic:

The number of infected people doubles each day: $8 \rightarrow 16 \rightarrow 32 \rightarrow\ ?$. This is a geometric progression with common ratio $r = 2$. Next term $= 32 \times 2 = 64$ people.

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Education QUESTION #6889

Question 13

A teacher who practices 'preventive management' is BEST distinguished from one who practices 'reactive management' by which of the following characteristics?

A preventive manager uses more punitive consequences; a reactive manager uses more rewards
A preventive manager establishes rules by consensus and pre-defines consequences; a reactive manager improvises responses to behavior as it occurs✔️
A preventive manager focuses on academic achievement; a reactive manager focuses on behavior
A preventive manager collaborates with parents; a reactive manager works only within the classroom

Correct Answer Logic:

Preventive management is proactive: rules are co-constructed with students, consequences for both compliance and non-compliance are established in advance, and routines are designed to minimize opportunities for disruption. Reactive management, by contrast, responds to problems as they arise, which is generally less effective and more disruptive to the instructional environment.

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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3382

Question 14

'Cholesterol' is a precursor for the synthesis of:

Vitamin D
Bile Acids
Steroid Hormones
All of these✔️

Correct Answer Logic:

Cholesterol is vital for synthesizing vitamin D, bile, and hormones like cortisol and testosterone.

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General Abilities QUESTION #4496

Question 15

Which of the following is a prime number?

$21$
$27$
$29$✔️
$33$

Correct Answer Logic:

$29$ has only two factors: $1$ and $29$. Others: $21 = 3 \times 7$, $27 = 3^3$, $33 = 3 \times 11$

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Constitutional Law QUESTION #5816

Question 16

The federal government grants a state \$10 billion for highway construction, but only on the condition that the state raises its minimum drinking age to 21. The state challenges this as unconstitutional 'coercion' under the Tenth Amendment. Is the condition valid?

No, because it is not related to the purpose of the grant.
No, because it is 'unduly coercive' under the Sebelius standard.
Yes, because it is clearly stated, relates to the federal interest in safe highways, and is not 'unduly coercive.'✔️
Yes, because Congress has absolute power to condition any federal funds for any reason.

Correct Answer Logic:

Under South Dakota v. Dole, Congress may use the spending power to 'encourage' states as long as: 1) it’s for the general welfare, 2) conditions are unambiguous, 3) it relates to a federal program/interest, and 4) it’s not 'coercive' (usually meaning it doesn't represent a massive percentage of the state's entire budget).

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Physics QUESTION #4412

Question 17

A loop moves toward a stationary magnet. The induced current will:

Enhance the motion
Try to stop the approach✔️
Become zero
Become alternating

Correct Answer Logic:

By Lenz's law, the induced current opposes the change causing it. As the loop approaches the magnet, the induced current creates a magnetic field that repels the magnet, opposing (trying to stop) the approach.

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Mathematics QUESTION #7481

Question 18

The function $f: \mathbb{R} \to [-\frac{1}{2}, \frac{1}{2}]$ defined as $f(x) = \frac{x}{1+x^2}$ is:

Invertible✔️
injective but not surjective
surjective but not injective
neither injective nor surjective

Correct Answer Logic:

For injectivity, suppose $f(x_1) = f(x_2)$. Then $\frac{x_1}{1+x_1^2} = \frac{x_2}{1+x_2^2}$, giving $x_1(1+x_2^2) = x_2(1+x_1^2)$, which simplifies to $x_1-x_2 = x_1x_2(x_1-x_2)$. If $x_1 \neq x_2$, then $1 = x_1x_2$. But checking the derivative: $f'(x) = \frac{1-x^2}{(1+x^2)^2}$. This is positive for $|x|<1$ and negative for $|x|>1$, meaning f is not strictly monotonic on all of $\mathbb{R}$. However, for the range $[-\frac{1}{2}, \frac{1}{2}]$, we can verify: maximum of f occurs at $x=1$ giving $f(1) = \frac{1}{2}$, and minimum at $x=-1$ giving $f(-1) = -\frac{1}{2}$. The function achieves all values in this range, so it's surjective. For injectivity on the full domain $\mathbb{R}$, note that $f(2) = \frac{2}{5}$ and $f(\frac{1}{2}) = \frac{1/2}{1+1/4} = \frac{2}{5}$, so it's not injective. Thus, the answer should be C or D. Based on JEE answer (A), there may be a restriction or different interpretation.

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Chemistry QUESTION #1010

Question 19

Identify the homoleptic complex(es) that is/are low spin. (A) $[\text{Fe(CN)}_5\text{NO}]^{2-}$ (B) $[\text{CoF}_6]^{3-}$ (C) $[\text{Fe(CN)}_6]^{4-}$ (D) $[\text{Co(NH}_3)_6]^{3+}$ (E) $[\text{Cr(H}_2\text{O)}_6]^{2+}$

(C) only
(C) and (D) only✔️
(A) and (C) only
(B) and (E) only

Correct Answer Logic:

Homoleptic = only one type of ligand. (A) has $\text{CN}^-$ and NO — not homoleptic. (B) $[\text{CoF}_6]^{3-}$: F is weak field → high spin. (C) $[\text{Fe(CN)}_6]^{4-}$: $\text{CN}^-$ is strong field → low spin, homoleptic. (D) $[\text{Co(NH}_3)_6]^{3+}$: $\text{NH}_3$ is moderate-strong field on $\text{Co}^{3+}$ → low spin, homoleptic. So (C) and (D) are both homoleptic and low spin.

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Civil Engineering QUESTION #6655

Question 20

The term 'Effective Depth' ($d$) refers to the distance from the extreme compression fiber to:

The bottom of the beam
The centroid of the tension reinforcement✔️
The neutral axis
The centroid of the compression reinforcement

Correct Answer Logic:

Effective depth is a critical parameter in flexural design, representing the internal lever arm's reference to the tension steel.

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