Your Answer : (Not Answered)

Correct Answer : D

Neither 1 nor 2 is correct.

Work is workers times days and stays constant for the same task.

\[ \begin{aligned} 5 \times 12 &= 60 \Rightarrow \tfrac{60}{10} = 6 \text{ days, not } 5 \\ 8 \times 14 &= 112 \Rightarrow \tfrac{112}{4} = 28 \text{ days, not } 30 \end{aligned} \]

Both statements misstate the result of an inverse proportion: doubling the workforce halves the time (12 to 6), and halving it doubles the time (14 to 28).

Your Answer : (Not Answered)

Correct Answer : C

The journey took 4 hours 25 minutes.

Count on from the start time:

\[ \begin{aligned} 16{:}50 \to 17{:}00 &= 10\ \text{min} \\ 17{:}00 \to 21{:}00 &= 4\ \text{h} \\ 21{:}00 \to 21{:}15 &= 15\ \text{min} \end{aligned} \]

Total: 4 hours and 10 + 15 = 25 minutes. As a check, 16:50 plus 4 hours is 20:50, and 25 more minutes reaches 21:15. The other options miscount either the minutes or the hours.

Your Answer : (Not Answered)

Correct Answer : D

The rate of interest is 7.8 per cent per annum. With simple interest the amount grows by the same sum every year. From 3 years to 6 1/2 years is 3 1/2 years, and the amount rises by 18084 - 14808 = 3276, so the yearly interest is \[\frac{3276}{3.5} = 936\] The principal is the amount at 3 years minus 3 years of interest: 14808 - 2808 = 12000. Rate: \[\frac{936}{12000} \times 100 = 7.8\ \%\] Options such as 8.4 and 8.5 per cent do not give these amounts: 12000 at 8.4 per cent would give 12000 + 3024 = 15024 after 3 years.

Your Answer : (Not Answered)

Correct Answer : A

In each number, the middle digit is the difference of the outer two.

• 835: \( 8 - 5 = 3 \) ✓
• 734: \( 7 - 4 = 3 \) ✓
• 642: \( 6 - 2 = 4 \) ✓
• 853: \( 8 - 3 = 5 \) ✓
• 981: \( 9 - 1 = 8 \) ✓
• 532: \( 5 - 2 = 3 \) ✓
• 751: \( 7 - 1 = 6 \neq 5 \) ✗

So 751 is the odd one out.

Your Answer : (Not Answered)

Correct Answer : B

\[ \text{Amount} = \text{PW}\left(1 + \frac{RT}{100}\right), \qquad \text{TD} = \text{Amount} - \text{PW} \]

\[ \text{PW} = \frac{2200}{1 + \dfrac{10 \times 1}{100}} = \frac{2200}{1.1} = \text{Rs. } 2000 \]

\[ \text{gain} = 2000 - 1950 = \text{Rs. } 50 \]

The headline difference of Rs. 250 overstates the profit: Rs. 200 of it merely compensates for waiting a year at 10%. Only the Rs. 50 remainder is genuine gain.

Your Answer : (Not Answered)

Correct Answer : C

The two sources of growth act in the same year, so combine them into a single annual rate.

\[ 4\% + 1\% = 5\% \text{ per annum} \]

Population growth compounds, so over two years:

\[ (1.05)^{2} = 1.1025 \]

\[ \text{increase} = 10.25\% \]

Simply doubling the 5% would give 10%; the extra 0.25% is the second year's growth on the first year's addition.

Your Answer : (Not Answered)

Correct Answer : B

Correct answer: 16 litres

Let the original quantity be \( 5x \) litres, containing \( 4x \) of A and \( x \) of B. Removing 10 litres of the mixture removes A and B in the ratio 4 : 1, that is 8 litres of A and 2 of B, leaving \( 4x - 8 \) and \( x - 2 \). Adding 10 litres of B brings B to \( x - 2 + 10 = x + 8 \). The new ratio gives \[ \frac{4x - 8}{x + 8} = \frac{2}{3} \;\Rightarrow\; 12x - 24 = 2x + 16 \;\Rightarrow\; 10x = 40 \;\Rightarrow\; x = 4. \] So A was originally \( 4x = 16 \) litres. Checking: 16 of A and 4 of B; removing 10 litres takes 8 and 2, leaving 8 and 2; adding 10 of B gives 8 and 12, which is 2 : 3. The essential step is that the removed portion carries both liquids in their current proportion.

Your Answer : (Not Answered)

Correct Answer : A

Let the ages of children be \(x, (x + 3), (x + 6), (x + 9)\) and \((x+12)\) years

Then \(x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50\)

\(\Rightarrow \) \(5x=20\)

\(\Rightarrow\) \(x=4\)

\(\therefore \) Age of the youngest child \(=x=4\) years

Your Answer : (Not Answered)

Correct Answer : A

Correct answer: Only assumption I is implicit

One does not tell a man the shortest way to Jammu unless one supposes he wants to go there - assumption I. Assumption II, that A advises everybody, is a claim about A’s habits that this single piece of advice does not require. Only I is implicit.

Your Answer : (Not Answered)

Correct Answer : B

Correct answer: Son

The father of my mother is X’s maternal grandfather; his only daughter is X’s mother. X is male, so he is her son.

Your Answer : (Not Answered)

Correct Answer : B

The mass number is the sum of the number of protons and neutrons present in the nucleus.

The mass number A counts the nucleons: A = Z + N, where Z is the number of protons (the atomic number) and N the number of neutrons. For carbon-12, 6 protons and 6 neutrons give A = 12.

The mass number is never less than the atomic number, because it includes the protons, and for hydrogen-1 the two are equal. It is a whole number, not a fraction, since it counts particles. It is not 'always more than the atomic weight': the atomic weight is an average over isotopes and can lie above or below the mass number of a given isotope (chlorine-35 has mass number 35, below chlorine's atomic weight of 35.45).

Your Answer : (Not Answered)

Correct Answer : C

Displacement is the shortest distance covered in a definite direction.

It is the straight-line vector from start to finish, so it has both magnitude and direction, and can be zero even after a long journey if the body returns to where it began. Distance is the scalar length of the actual path and can only increase.

Your Answer : (Not Answered)

Correct Answer : C

The India–Pakistan match at Jaipur on 2 October 1983 introduced the rule that no-balls and wides are debited to the bowler's analysis.

Before this the extras were charged to the team but not to the bowler who conceded them, so his figures flattered him.

Your Answer : (Not Answered)

Correct Answer : B

John Logie Baird invented television.

The Scottish engineer gave the first demonstration of a moving televised image in 1925 and of a recognisable human face in 1926, using a mechanical scanning disc. His system was later displaced by all-electronic television.

Your Answer : (Not Answered)

Correct Answer : B

Sulphuric acid is used in refining crude petroleum, in the treating stages that remove sulphur compounds, unsaturated hydrocarbons and gums from the distilled fractions.

The separation of the crude into fractions is done by distillation; the acid treatment is what cleans those fractions up afterwards.

Your Answer : (Not Answered)

Correct Answer : C

Narendra Modi is the 14th Prime Minister of India.

The count runs from Jawaharlal Nehru and treats a person's separate terms as one entry, so Modi, who took office in May 2014, is the fourteenth individual to hold the post.

Your Answer : (Not Answered)

Correct Answer : B

1, 3 and 4 are his.

Qiran-us-Sadain, Miftah-ul-Futuh and Nuh Sipihr are all by Amir Khusrau. Tahqiq-i-Hind, better known as Kitab-ul-Hind, is Alberuni's.

Your Answer : (Not Answered)

Correct Answer : A

Mount Everest, at 8,849 m, is the highest point on Earth, standing on the Nepal–Tibet border in the Greater Himalaya.

K2 in the Karakoram is second at 8,611 m, Kilimanjaro is Africa's highest at 5,895 m, and the Ellsworth Mountains hold Antarctica's highest peak.

Your Answer : (Not Answered)

Correct Answer : B

Central assistance for state and UT plans is not non-plan expenditure.

It was plan expenditure by definition, being the Centre's contribution to the states' plan outlays. Subsidies, defence and interest payments were all non-plan. The plan and non-plan classification was itself dropped from the budget in 2017.

Your Answer : (Not Answered)

Correct Answer : B

Correct answer: The Narmada

The Narmada flows west into the Arabian Sea; the other three flow east into the Bay of Bengal. The reason is structural. The Deccan plateau tilts gently eastward, so almost every peninsular river - the Mahanadi, Godavari, Krishna and Kaveri - rises near the western coast and crosses the entire peninsula to the east, building a large delta at its mouth. The Narmada and the Tapi are the exceptions, and both flow through rift valleys - the Narmada between the Vindhya and Satpura ranges - troughs formed by faulting. They follow a fracture in the crust rather than the regional slope. That also explains a second difference: both form estuaries rather than deltas, because they carry little silt and discharge into a subsiding coast with strong tides. The Narmada is about 1,312 km long, rises at Amarkantak, and carries the Sardar Sarovar dam.