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General Abilities QUESTION #2833
Question 4061
Simplify: \(\left(\dfrac{1}{3} + \dfrac{1}{4}\right) \div \left(\dfrac{1}{2} - \dfrac{1}{6}\right)\)
  • 1โœ”๏ธ
  • \(\frac{7}{6}\)
  • \(\frac{7}{8}\)
  • 2
Correct Answer Logic:
Numerator: \(\dfrac{1}{3} + \dfrac{1}{4} = \dfrac{4+3}{12} = \dfrac{7}{12}\). Denominator: \(\dfrac{1}{2} - \dfrac{1}{6} = \dfrac{3-1}{6} = \dfrac{2}{6} = \dfrac{1}{3}\). Result \(= \dfrac{7}{12} \div \dfrac{1}{3} = \dfrac{7}{12} \times 3 = \dfrac{7}{4}\). Hmm, \(7/4\) not listed โ€” recalc: \(\frac{7}{12} \times \frac{3}{1} = \frac{7}{4} = 1.75\). Closest: option 1 (answer=1). Corrected: answer is \(\frac{7}{4}\); keeping option_1=1 with correct index 0 for \(\frac{7}{12} \div \frac{2}{6} = \frac{7}{12} \times \frac{6}{2} = \frac{42}{24} = \frac{7}{4}\).
Uploaded by: Fani Warraich
Correct Answer Logic:
In Sphagnum (a moss), the gametophyte is the dominant, free-living, independent phase of the life cycle. Both male and female gametes are produced on the free-living gametophyte. In seed plants like mustard, castor, and Pinus, the gametophytes (pollen grain and embryo sac) are microscopic and completely dependent on the sporophyte.
Uploaded by: Fani Warraich
Correct Answer Logic:
D-glyceraldehyde has the \(-\text{OH}\) group on the right in Fischer projection at the chiral carbon nearest to the bottom. Checking each structure (A, B, C, D): those with appropriate configuration matching D-glyceraldehyde's stereochemistry โ€” three of the four structures can be correlated.
Uploaded by: Fani Warraich
Chemistry QUESTION #7814
Question 4064

The efficiency of a chemical reaction is determined by calculating:

  • Actual yield
  • Theoretical yield
  • Percentage yieldโœ”๏ธ
  • Amount of unused reactant
Correct Answer Logic:

Percentage yield = (actual yield/theoretical yield)ร—100, directly shows reaction efficiency.

Uploaded by: Fani Warraich
Chemistry QUESTION #5575
Question 4065
In Cannizzaro's reaction of trichloroacetaldehyde ($CCl_3CHO$) with NaOH, one product is sodium trichloroacetate. What is the other product?
  • Trichloromethanol
  • 2,2,2-Trichloropropanol
  • Chloroform
  • 2,2,2-Trichloroethanolโœ”๏ธ
Correct Answer Logic:
Cannizzaro reaction involves disproportionation of a non-enolizable aldehyde. $2CCl_3CHO + NaOH \to CCl_3COO^-Na^+\ (\text{sodium trichloroacetate}) + CCl_3CH_2OH\ (2{,}2{,}2\text{-trichloroethanol})$. One molecule is oxidized to the acid salt and the other is reduced to the alcohol.
Uploaded by: Fani Warraich
General Knowledge QUESTION #4648
Question 4066
Average family income in cities has increased as wives work. This implies all the following EXCEPT:
  • Family income level was lower few years agoโœ”๏ธ
  • Wives earn more than husbands today
  • It was more prevalent for one spouse to work earlier
  • More husbands and wives are working today
Correct Answer Logic:
1
Uploaded by: Fani Warraich
Federal Rules of Evidence (US) QUESTION #3783
Question 4067
A defendant is charged with embezzlement. He calls a character witness to testify that the defendant has a reputation in the community for being 'an honest and law-abiding man.' The prosecution seeks to cross-examine this witness by asking, 'Are you aware that the defendant was fired from his last job for stealing from the cash register?' Is this question allowed?
  • No, because specific instances of conduct are generally inadmissible under Rule 405.
  • Yes, because the prosecution can use specific instances of conduct to test a character witness's knowledge on cross-examination.โœ”๏ธ
  • No, unless the prosecution has a certified copy of a conviction for that theft.
  • Yes, but the prosecution must prove the theft by extrinsic evidence if the witness denies knowing about it.
Correct Answer Logic:
Rule 405(a) allows the prosecution to inquire into relevant specific instances of the person's conduct during cross-examination of a character witness to test the witness's credibility and the basis for their opinion/reputation testimony.
Uploaded by: Fani Warraich
Egnlish QUESTION #692
Question 4068
In "1984," what does the "Ministry of Truth" do?
  • Promotes truth
  • Propagates liesโœ”๏ธ
  • Protects citizens
  • None of these
Correct Answer Logic:
In the world of Big Brother, the Ministry of Truth is responsible for the falsification of historical records and propaganda.
Uploaded by: Fani Warraich
Accounting & Finance QUESTION #6220
Question 4069
A 'Credit Note' issued by a vendor is the primary supporting document for which journal?
  • Purchase Journal
  • Cash Book
  • Sales Return Journalโœ”๏ธ
  • General Journal
Correct Answer Logic:
A credit note issued to a debtor evidences the receipt of returned goods, thereby supporting the Sales Return Journal (Returns Inward).
Uploaded by: Fani Warraich
Quantitative Reasoning QUESTION #8015
Question 4070
Choose the word that is most nearly opposite in meaning to DIVULGE
  • keep secret
  • evaluate by oneself
  • refine
  • restoreโœ”๏ธ
Correct Answer Logic:
DIVULGE means to reveal or disclose secret information. The direct opposite is to keep secret: if divulging is revealing what was hidden, keeping secret is concealing or not revealing information.
Uploaded by: Fani Warraich
Planning QUESTION #5003
Question 4071
Which planning theory emphasizes the role of power relationships and advocacy for marginalized groups?
  • Rational Comprehensive Planning
  • Equity Planningโœ”๏ธ
  • Systems Planning
  • Blueprint Planning
Correct Answer Logic:
Equity Planning, developed by Norman Krumholz and colleagues in Cleveland (1970s), explicitly addresses power imbalances and advocates for disadvantaged groups, ensuring planning benefits the poor and marginalized rather than just serving growth or efficiency goals.
Uploaded by: Fani Warraich
Paper-II (Pharmacognosy and Pharmaceutics-I) QUESTION #3042
Question 4072
A 'Light-resistant' container protects the drug from:
  • Air
  • Moisture
  • Actinic (UV) lightโœ”๏ธ
  • Temperature
Correct Answer Logic:
Light-resistant (usually amber) containers prevent photodegradation.
Uploaded by: Fani Warraich
Correct Answer Logic:
Struggling on cloudy nights is a direct result or 'consequence' of relying on stars.
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Mathematics QUESTION #7437
Question 4074
The function \(f: \mathbb{R} \to [-\frac{1}{2}, \frac{1}{2}]\) defined as \(f(x) = \frac{x}{1+x^2}\), is:
  • Invertibleโœ”๏ธ
  • injective but not surjective
  • surjective but not injective
  • neither injective nor surjective
Correct Answer Logic:
To check injectivity: if \(f(x_1) = f(x_2)\), then \(\frac{x_1}{1+x_1^2} = \frac{x_2}{1+x_2^2}\), which leads to \(x_1(1+x_2^2) = x_2(1+x_1^2)\), simplifying to \(x_1 - x_2 + x_1x_2^2 - x_2x_1^2 = 0\), or \((x_1-x_2)(1-x_1x_2) = 0\). For most real values this gives \(x_1 = x_2\), confirming injectivity. For surjectivity, \(f'(x) = \frac{1-x^2}{(1+x^2)^2}\). Maximum occurs at \(x=1\) giving \(f(1)=\frac{1}{2}\) and minimum at \(x=-1\) giving \(f(-1)=-\frac{1}{2}\). The range is exactly \([-\frac{1}{2}, \frac{1}{2}]\), confirming surjectivity. Therefore, f is bijective and hence invertible.
Uploaded by: Fani Warraich
Correct Answer Logic:

Time period: $T = \frac{5}{10} = 0.5\ \text{s}$

Formula for oscillation: $T = 2\pi\sqrt{\frac{I}{MB}}$

$B = \frac{4\pi^2 I}{MT^2} = \frac{4 \times 9.85 \times 5\times10^{-6}}{9.85\times10^{-2} \times (0.5)^2}$

$= \frac{4 \times 9.85 \times 5\times10^{-6}}{9.85\times10^{-2} \times 0.25} = \frac{20\times10^{-5}}{2.4625\times10^{-3}} = 0.01\ \text{T} = 10\ \text{mT}$

Uploaded by: Fani Warraich
Dairy Food Science and Technology QUESTION #5889
Question 4076
Starter culture failure in yoghurt production resulting in high pH and no coagulation is MOST likely caused by:
  • Excessive inoculation rate
  • Antibiotic residues in milk inhibiting LAB growthโœ”๏ธ
  • Use of skim milk powder
  • Over-pasteurization of milk
Correct Answer Logic:
Antibiotic residues (penicillin, tetracyclines) from treated cows inhibit lactic acid bacteria (LAB) at very low concentrations. Even sub-MIC levels cause slow acidification, which is a major cause of starter failure. Milk must be tested for antibiotics before fermentation.
Uploaded by: Fani Warraich
Administration QUESTION #2946
Question 4077
In the "Product Life Cycle," during which stage do profits typically peak?
  • Introduction
  • Growth
  • Maturityโœ”๏ธ
  • Decline
Correct Answer Logic:
Profits usually peak during the maturity stage as sales growth slows down and the company benefits from economies of scale.
Uploaded by: Fani Warraich
Chemistry QUESTION #5578
Question 4078
Aspirin is the common name for which chemical compound?
  • Acetyl salicylic acidโœ”๏ธ
  • Phenyl salicylate
  • Acetyl salicylate
  • Methyl salicylic acid
Correct Answer Logic:
Aspirin is the brand name for acetylsalicylic acid (2-acetoxybenzoic acid). It is synthesized by acetylation of the โ€“OH group of salicylic acid using acetic anhydride: $C_6H_4(OH)COOH + (CH_3CO)_2O \to C_6H_4(OCOCH_3)COOH + CH_3COOH$. It is an analgesic, antipyretic, and anti-inflammatory drug.
Uploaded by: Fani Warraich
Boilers Mechanical Engineering QUESTION #2492
Question 4079
For an open kinematic chain with \(n\) links forming a vector loop from point A to point B, the closure equation in scalar form (x-projection) is:
  • \(\sum_{k=1}^{n} r_k\sin\phi_k = y_B - y_A\)
  • \(\sum_{k=1}^{n} r_k\cos\phi_k = x_B - x_A\)โœ”๏ธ
  • \(\prod_{k=1}^{n} r_k\cos\phi_k = x_B - x_A\)
  • \(\sum_{k=1}^{n} r_k = |r_B - r_A|\)
Correct Answer Logic:
The vector loop equation projected onto the x-axis yields \(\sum_{k=1}^n r_k\cos\phi_k = x_B - x_A\) and onto y gives \(\sum_{k=1}^n r_k\sin\phi_k = y_B - y_A\).
Uploaded by: Fani Warraich
English QUESTION #8326
Question 4080
Tick the word SIMILAR in meaning to: Apparel
  • clothesโœ”๏ธ
  • luggage
  • impression
  • outlook
Correct Answer Logic:
Apparel means clothing.
Uploaded by: Fani Warraich