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Correct answer: D
Let ages be $3x,7x$. $\frac{3x+2}{7x+2}=\frac{5}{9}\Rightarrow 27x+18=35x+10\Rightarrow x=1$. Ages are 3 and 7. After 10 years: $13:17$.
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Correct answer: B
$0.56\times T=98\Rightarrow T=\frac{98}{0.56}=175$.
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Correct answer: C
$1.20\times1.25\times1.30=1.95$, i.e. a 95% increase.
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Correct answer: B
$80\,SP=100\,CP\Rightarrow SP=1.25\,CP$. Gain $=\frac{20}{80}\times100=25\%$.
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Correct answer: A
Interest for 2 years $=568-520=48\Rightarrow$ 24/yr. $P=520-5\times24=400$.
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Correct answer: B
$\pi r^2=2\pi r\Rightarrow r=2$, so diameter $=4$.
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Correct answer: A
Area $=\frac12 d_1 d_2\Rightarrow 240=\frac12\times16\times d_2\Rightarrow d_2=30$. Half-diagonals 8 and 15 give side $=\sqrt{8^2+15^2}=17$. Perimeter $=4\times17=68$ cm.
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Correct answer: B
Negative $x$, positive $y$ lies in the second quadrant.
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Correct answer: A
Treating the listed values $\frac{x}{5},\frac{x}{4},\frac{x}{3},\frac{x}{2}$, the median (middle of ordered data) is taken as $\frac{x}{3}=8\Rightarrow x=24$.
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Correct answer: C
365 days $=52$ weeks $+1$ extra day; that day is Sunday with probability $\frac17$.
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Correct answer: A
$\frac{2}{10}\times\frac{5}{9}\times\frac{3}{8}=\frac{30}{720}=\frac{1}{24}$.
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Correct answer: B
Total $=12\times15=180$; first two $=28$; remaining 10 sum $=152$; average $=15.2$.
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Correct answer: C
Let fare $f$, reservation $r$. $f+r=525$. One full + one half $=(f+r)+(\tfrac{f}{2}+r)=850\Rightarrow\tfrac{f}{2}+r=325$. Subtract: $\tfrac{f}{2}=200\Rightarrow f=400,\ r=125$.
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Correct answer: C
$\tan\theta=\frac{\text{height}}{\text{shadow}}=\frac{h}{h/\sqrt3}=\sqrt3\Rightarrow\theta=60^\circ$.
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Correct answer: B
Cone volume $V=\frac13\pi r^2 h$ is proportional to $h$. Doubling $h$ doubles $V$, an increase of 100%.
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Correct answer: C
2-day work $=\frac19+\frac1{12}=\frac{7}{36}$. After 5 cycles (10 days) $=\frac{35}{36}$. Remaining $\frac{1}{36}$ done by A in $\frac{1/36}{1/9}=\frac14$ day. Total $=10\frac14$ days.
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Correct answer: B
In km/h: 50 m/s=180, 50 m/min=3, 70 km/h=70, 5 km/min=300. Least is 50 m/min.
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Correct answer: D
$\text{LCM}(4,6,32)=96=2^5\times3$. Smallest perfect square multiple needs even powers: $2^6\times3^2=576=24^2$.
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Correct answer: D
Exterior angle $120^\circ = \angle A + \angle B = 50^\circ + x \Rightarrow x = 70^\circ$.
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Correct answer: D
$a=3,d=4$. $n=\frac{407-3}{4}+1=\frac{404}{4}+1=102$.
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Correct answer: B
Blue=Fish(III), White=Milk(IV), Yellow=Oil-seeds(II), Green=Crop yield(I).
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Correct answer: A
The difference/relationship between merchandise imports and exports is the Balance of Trade.
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Correct answer: C
Abhinav Bindra (shooting gold) was a Beijing 2008 medallist and did not compete/medal in Tokyo 2020; the others won medals in Tokyo.
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Correct answer: B
Mercury is a metal (liquid at room temperature); the others are non-metals.
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Correct answer: B
VitB→Beri-Beri(II), VitA→Night blindness(IV), Iron→Anaemia(I), Iodine→Goitre(III).
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Correct answer: C
Natural gas is predominantly methane ($\ce{CH4}$).
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Correct answer: B
Charge→Coulomb(II), Force→Newton(I), Power→Watt(IV), Energy→Joule(III).
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Correct answer: A
Insulin→Diabetes(III), Protein→Kwashiorkor(I), Thyroxin→Goitre(IV), VitC→Scurvy(II).
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Correct answer: C
A constitution defines governance and distributes powers (I correct); it does not exist to maintain relations with neighbouring countries (II incorrect).
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Correct answer: D
Rabindranath Tagore won the Nobel Prize in Literature (1913) for Gitanjali.
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Correct answer: C
Dr. S. Radhakrishnan authored 'Indian Philosophy'.
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Correct answer: B
India Wins Freedom→Azad(III), The Guide→R K Narayan(I), India from Midnight to Millennium→Shashi Tharoor(IV), Conquest of Self→Gandhi(II).
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Correct answer: B
Mahanadi→Cuttack(II), Godavari→Nasik(IV), Sutlej→Ludhiana(I), Gomti→Lucknow(III).
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Correct answer: A
Nagpur→Orange City(III), Surat→Diamond City(I), Jaisalmer→Golden City(IV), Jaipur→Pink City(II).
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Correct answer: C
Ladakh is a Union Territory (since 2019), not a state.
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Correct answer: C
Khorana→Genetic composition(II), Raman→Scattering of light(III), J C Bose→plant growth(IV), Aryabhata→Zero(I).
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Correct answer: D
Har Gobind Khorana shared the 1968 Nobel Prize in Physiology or Medicine.
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Correct answer: A
Explorer was a US satellite; APPLE, Bhaskar and INSAT are Indian satellites.
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Correct answer: D
Quit India→Compelled British to leave(II), Civil Disobedience→Refusal to obey laws(III), Non-Cooperation→resign titles/boycott(IV), Home Rule→self-government/political representation(I).
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Correct answer: B
The Bhoodan (land-gift) and Gramdan movement was started by Acharya Vinoba Bhave in 1951.
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Correct answer: D
Major (Army) is a rank above Lieutenant; analogously, the Air Force rank below Squadron Leader (excluding Flight Lieutenant) is Flying Officer.
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Correct answer: C
Four right triangles each with one dot reassemble into a square split by its two diagonals into 4 dotted triangles, matching option 3.
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Correct answer: B
The third column uses the parallelogram shape; completing the pattern gives a parallelogram divided with A above B (option 2).
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Correct answer: D
$363\bmod 7 = 6$. Saturday $+\,6$ days $=$ Friday.
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Correct answer: C
$C=15$, $A=C-3=12$, $D=A-1=11$, $B=D-1=10$? Recheck: D one year older than B ⇒ $B=D-1=10$. But also D=4 less than C ⇒ $D=11$, consistent. So $B=10$. However A is one year older than D gives $D=11$ and $B=D-1=10$.
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Correct answer: B
Mirror time $=11{:}60-\text{shown}=11{:}60-3{:}30=8{:}30$.
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Correct answer: B
7 pm to 2 am is 7 hours; hour hand moves $30^\circ/\text{hr}\times7=210^\circ$.
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Correct answer: B
Each letter position +8: L(12)→20, I(9)→17, G(7)→15, H(8)→16, T(20)→28 ⇒ 20-17-15-16-28.
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Correct answer: B
INTERMEDIATE (12 letters): halves INTERM | EDIATE. Reverse 2nd half ETAIDE, place first: ETAIDEINTERM. 10th from right = 3rd from left = A; 2nd to its right = 5th letter = D.
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Correct answer: B
'prot' means India. 'All India Radio' must contain 'prot' plus two new (unknown) words; only 'Kud prot nid' fits with two fresh words and 'prot'.
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Correct answer: A
East displacement $=2+4=6$; North-South $=-6+14=+8$. Distance $=\sqrt{6^2+8^2}=10$ km.
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Correct answer: C
Doctors not married = inside triangle but outside square. Region 1 (triangle only, also outside circle) represents doctors who are not married.
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Correct answer: C
Opposite faces (3 pairs) can share a colour; adjacent faces differ, so 3 colours suffice.
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Correct answer: A
Key → Lock → Door → Room, i.e. A, C, B, D.
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Correct answer: B
In 431, 831 and 232 the first and last digits relate consistently (e.g. odd numbers / digit pattern), whereas 162 breaks the pattern, making it the odd one out.
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Correct answer: C
First letters D,F,H,J (+2) → L. Numbers 4,9,20,43 follow $\times2+1,+2,+3$: $43\times2+4=90$. Last letters T,R,P,N (−2) → L. So L 90 L.
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Correct answer: B
Failed in at least two = $10+12+12+5=39$. Percentage $=\frac{39}{500}\times100=7.8\%$.
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Correct answer: B
Total $=17+17-1=33$.
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Correct answer: B
B from left $=40-9+1=32$. C $=32-4=28$. Children between A(13) and C(28) $=28-13-1=14$.
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Correct answer: C
Neither conclusion is definitely true, but conclusions I and II are complementary (some blacks are lions / no black is lion), so either I or II follows.
Original question paper source: National Testing Agency (NTA), CUET (UG) 2023. Reproduced for educational use. Answers & explanations by UniDrill.