A motorboat covers 30 km downstream in the same time as it covers 18 km upstream. If the speed of the stream is 3 km/h, what is the speed of the boat in still water?

A. 10 km/h
B. 12 km/h
C. 14 km/h
D. 15 km/h

Let the speed of the boat in still water be b km/h.
Downstream speed = b + 3
Upstream speed = b – 3
Given equal time:$$\frac{30}{b+3}=\frac{18}{b-3}$$
Cross-multiplying:$$30(b-3)=18(b+3)$$$$30b-90=18b+54$$$$12b=144$$$$b=12$$So, the speed of the boat in still water is 12 km/h.
✅ Answer: B. 12 km/h

Aman starts from Point A and moves 14 km east, then 9 km north, then 6 km west, then 9 km south, and finally 2 km east. How far and in which direction should he move to return to Point A?

A. 10 km west
B. 10 km east
C. 8 km west
D. 12 km west

✅ Answer: B. 10 km East
Track the movement step by step:
Start at A
14 km east → +14 east
9 km north
6 km west → net east becomes 8 km
9 km south → north and south cancel out
2 km east → net east becomes 10 km
So Aman is 10 km east of Point A.
To return to Point A, he must move 10 km west.

Why others are wrong:
He is not west of A, so eastward options are incorrect.
8 km west and 12 km west do not match the net displacement.

In a code language:
A ÷ B means A is the father of B
A + B means A is the mother of B
A – B means A is the brother of B
A × B means A is the sister of B
How is S related to P if S ÷ K + P?

A. Maternal grandfather
B. Paternal grandmother
C. Maternal uncle
D. Paternal aunt

✅ Answer: A. Maternal Grandfather
Given:
S ÷ K = S is the father of K
K + P = K is the mother of P
So S is the father of P’s mother. That makes S the maternal grandfather of P.

Why others are wrong:
Paternal grandmother is female, but S is male.
Maternal uncle and paternal aunt do not match the chain of relationships.

From a point on the ground 15 m away from the foot of a tower, the angle of elevation of the top is 60°. What is the height of the tower?

A. 24 m
B. 26 m
C. 28 m
D. 30 m

Why we use Tan here: Because there is asked only about height and base, not hypotenuse.
The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side:
$tan (60\degree) = \frac{opposite}{adjacent}$
Using:$$\tan 60^\circ = \frac{\text{height}}{15}$$$$\sqrt{3}=\frac{h}{15}$$$$h=15\sqrt{3}\approx 25.98 \approx 26 \text{ m}$$So, the height of the tower is 26 m.
✅ Answer: B. 26 m

In a code language, BARY is coded as 2746 and VARY is coded as 6749. What is the code for V?

A. 6
B. 7
C. 4
D. 9

BARY → 2746
VARY → 6749
Common letter = V appears in both? No
Look at A, R and Y
From first word: A = 7, R = 4, Y = 6
From second word: A = 7, R = 4, Y = 9
👉 So mapping is NOT fixed per position
👉 But value must be same
Look both have these but different positions assigned.
BARY → 2746
VARY → 6749
The question is not about position but what is the value of V. We can see clearly the in first code the only value and number unique is (B = 2). The same way in second code the unique is (V =9).
✅ Answer: D. 9

Find the mean of the following distribution:

A. 58
B. 59
C. 60
D. 61

Calculation (Shortcut)
Compute the weighted mean:$$\text{Mean}=\frac{\sum fx}{\sum f}$$$$\sum fx=(42\times3)+(56\times5)+(68\times4)+(74\times2)$$$$=126+280+272+148=826$$$$\sum f=3+5+4+2=14$$$$\text{Mean}=\frac{826}{14}=59$$So, the mean is 59.
✅ Answer: B. 59

Which pair of India’s neighbours has a combined land border with India of more than 7,000 km?

A. Bangladesh and Pakistan
B. Bangladesh and Nepal
C. Pakistan and Myanmar
D. Nepal and Bhutan

According to the Ministry of Home Affairs, India shares land borders of about 4,096.70 km with Bangladesh and 3,323 km with Pakistan. Together, they make 7,419.70 km, which is more than 7,000 km.
✅ Answer: A. Bangladesh and Pakistan

What is the maximum value of A so that the 8-digit number 816304A4 is divisible by 4?

A. 5
B. 7
C. 8
D. 9

For divisibility by 4, only the last two digits matter.
The number is 816304A4, so the last two digits are A4.
Possible values:
04, 24, 44, 64, 84 are divisible by 4
So A can be 0, 2, 4, 6, 8
The maximum value is 8.
✅ Answer: C. 8

Who is deemed as the Father of Artificial Intelligence?

A. Charles Babbage
B. Howard J. Stark
C. John McCarthy
D. Ruby Fainne

✅ Answer: C. John McCarthy

In a certain code, each letter is shifted forward by 1, 2, 3, 4, and 5 respectively. How is PLANT coded?

A. QNDRY
B. QNDRZ
C. QNERY
D. RNDQY

The pattern is:
1st letter +1
2nd letter +2
3rd letter +3
4th letter +4
5th letter +5
or PLANT:
P → Q
L → N
A → D
N → R
T → Y
So the code is QNDRY.
✅ Answer: A. QNDRY

Three of the following four letter clusters follow the same rule. Which one does not belong to the group?

A. DXR
B. CZU
C. BLF
D. ASM

Trick:
The last two letters in option A, C, D. Look closely the difference is -6 in next letter.
A. X (-6) = R
B. Z (-5) = U
C. L (-6) = F
D. S (-6) = M
👉 Only option B is -5, so it does not belong here.
✅ Answer: B

Read the statements and conclusions carefully.
Statements:
– Some jars are bottles.
– All bottles are cans.
– Some cans are boxes.
Conclusions:
(I) Some jars are cans.
(II) Some boxes are bottles.

A. Only conclusion (I) follows
B. Only conclusion (II) follows
C. Both conclusions follow
D. Neither conclusion follows

From the statements:
– Some jars are bottles.
– All bottles are cans.
So, the jars that are bottles are also cans. Therefore, some jars are cans follows.
But some boxes are bottles does not follow, because there is no direct link between boxes and bottles.
So only conclusion (I) follows.
✅ Answer: A. Only conclusion (I) follows

Which state is building the world’s largest data centre?

A. Karnataka
B. Hyderabad
C. Gujrat
D. Madhya Pradesh

✅ Answer: C. Gujrat

Evaluate: (−18) + 7 × (−4) − (−12) ÷ 3

A. -42
B. -38
C. -34
D. -46

Solution$$(-18) + 7 \times (-4) – (-12) \div 3$$First do multiplication and division:$$7 \times (-4) = -28$$$$(-12) \div 3 = -4$$So,$$-18 + (-28) – (-4) = -18 – 28 + 4 = -42$$
✅ Correct answer: A. -42

Who is the Chief of the Army Staff in India as of February 2026?

A. General Dinesh Tripathi
B. General Anil Chauhan
C. General Upendra Dwivedi
D. General AP Singh

✅ Answer: C. General Upendra Dwivedi

Seven people J, K, L, M, N, O, and P are sitting around a circular table facing the centre of the table. M sits second to the right of O. M sits third to the left of J. N sits third to the left of P. K is an immediate neighbour of both O and J. How many people sit between L and K when counted from the left of L?

A. One
B. Two
C. Three
D. Zero

Key Points:
– “right of” goes clockwise.
– “left of” goes anti-clockwise
– Circular table like a clock: 1,2,3,4,5,6,7.
– There are total 7: J,K,L,M,N,O,P.
– All we have to do is to fit them in position to solve.

Let’s begin.
1 = O
2 = N
3 = M
4 = L
5 = P
6 = J
7 = K
✅ Now Check Conditions (Fast Trick Method):
1. M → O (2nd to right of O)
O → ? → M → ? → ? → ? → ? → O… ✔️ (The circle starts from O to O)

2. M → J (3rd left of J)
O → ? → M → ? → ? → J → ? → O… ✔️

3. N → P (Hard to predict right now, so wait for next)
O → ? → M → ? → ? → J → ? → O… ✔️

4. K → O, J (middle of W and F)
O → ? → M → ? → ? → J → K → O… ✔️

3. N → P (3rd left of P)
O → N → M → ? → P → J → K → O… ✔️

Now only one left which will be H.
O → N → M → L → P → J → K → O… ✔️
The question asked:
👉 How many people have sit Between H and G (left of H)
O → N → M → L → P → J → K → O… ✔️
Left of H:
L → M → N → O → K → J → P → L… ✔️
👉 Answer C: Three

A population of deer in a reserve has a carrying capacity of 2,000. The current population is 1,400. What is the most likely trend?

A. The population will grow faster and faster without limit.
B. The population will decline immediately to zero.
C. The growth rate will slow and the population will level off near carrying capacity.
D. The population will remain exactly 1,400 forever.

In logistic growth, population growth slows as the population approaches the environment’s carrying capacity. Khan Academy states that in logistic growth, the per-capita growth rate gets smaller as the population nears the maximum supported by limited resources.
So the deer population will slow down and level off near carrying capacity.
✅ Answer: C. The growth rate will slow and the population will level off near carrying capacity.

Which element is primarily responsible for the yellow, orange, or red color of the parasitic plant Cuscuta (Dodder)?

A. Hemiparasites
B. Holoparasite
C. Root Parasites
D. Stem parasite

✅ Answer: D. Stem parasite

Three friends X, Y and Z start a business by investing money in the ratio 3 : 4 : 5. Z invests ₹24,000. After 8 months, X withdraws one-third of his capital. If the total annual profit is ₹49,000, what is the difference between X’s and Y’s profits?

A. ₹4,800
B. ₹5,600
C. ₹6,200
D. ₹7,000

Solution
Investment ratio = 3 : 4 : 5
Z invests ₹24,000, so:
X = ₹14,400
Y = ₹19,200
Z = ₹24,000
Now calculate time-weighted investments:
X:
8 months at ₹14,400
4 months at $\frac{2}{3}\times 14{,}400 = 9{,}600$
So X’s capital-months:$$14{,}400 \times 8 + 9{,}600 \times 4 = 115{,}200 + 38{,}400 = 153{,}600$$
Y:$$19{,}200 \times 12 = 230{,}400$$
Z:$$24{,}000 \times 12 = 288{,}000$$
Profit ratio:$$153600 : 230400 : 288000$$Divide by 9600:$$16 : 24 : 30$$Total parts:$$16+24+30=70$$
Total profit = ₹49,000, so one part =$$49000 \div 70 = 700$$
X’s profit:$$16 \times 700 = 11200$$
Y’s profit:$$24 \times 700 = 16800$$
Difference:$$16800 – 11200 = 5600$$
✅ Answer: B. 5,600

At present, Mira is three times as old as her son, and her daughter is 2 years younger than her son. Three years ago, the sum of their ages was 64 years. What is Mira’s present age?

A. 42 years
B. 45 years
C. 48 years
D. 51 years

Let son’s present age be $x$.
Then Mira’s present age = $3x$.
Daughter’s present age = $x – 2$.
Three years ago, their ages were:
Mira: $3x – 3$
Son: $x – 3$
Daughter: $x – 5$
Given:$$(3x – 3) + (x – 3) + (x – 5) = 64$$$$5x – 11 = 64$$$$5x = 75$$$$x = 15$$So Mira’s present age is 3 times the x, hence we multiply 15 by 3:$$3x = 45$$
🎯 FINAL ANSWER: B. 45 years​

Below are given two sets of numbers. In each set, a certain mathematical operation on the first number results in the second number, then the second to the third, and so on. Which option follows the same set of operations?
5 – 15 – 20 – 40
7 – 21 – 26 – 52

A. 9 – 27 – 32 – 64
B. 9 – 28 – 33 – 66
C. 8 – 24 – 29 – 58
D. 6 – 18 – 23 – 46

Pattern:
×3, +5, ×2
Let’s check:
5, 15 (5×3), 20 (15+5), 40 (20×2)
7, 21 (7×3), 26 (21+5), 52 (26×2)
Options A: 9, 27 (9×3), 32 (27+5), 64 (32×2)
Check options → only A fits
✅ Answer: A. 9 – 27 – 32 – 64

Find the area of a regular hexagon whose side measures 10√3 cm.

A. 300√3 cm²
B. 450√3 cm²
C. 500√3 cm²
D. 600√3 cm²

Hexagon area: $\frac{3\sqrt{3}}{2} a^2$
We have given: $a = 10\sqrt{3}$
Let’s put in:
$\frac{3\sqrt{3}}{2}\ \times \ (10\sqrt{3})^2 \\ \frac{3\sqrt{3}}{2}\ \times \ ((10)^2(\sqrt{3})^2) \\ \frac{3\sqrt{3}}{2}\ \times \ (100\times3) \\ \frac{3\sqrt{3}}{2}\ \times \ 300 \\ 3\sqrt{3}\ \times \ 150 \\ 150\ \times \ 3\sqrt{3} \\ 450\sqrt{3}$
✅ Answer: B

What is the theme of National Safe Motherhood Day 2026 (April 11)?

A. “Equity To Maternal: Praise To All Mothers”
B. “Nurture Maternal Land: Give Soul To Bharat Mata”
C. “Equality in Safety And Healthcare: Praise All Mothers”
D. “Equity in Maternal Healthcare: Leaving No Mother Behind”

✅ Answer: D. “Equity in Maternal Healthcare: Leaving No Mother Behind”

By selling an article at 3/5 of its actual selling price, Rishi incurs a loss of 25%. If he sells it at 90% of its actual selling price, then the profit percentage is:

A. 10%
B. 12.5%
C. 15%
D. 18%

Let the actual selling price be $S$S.
Given, selling at $\frac{3}{5}S$ causes a 25% loss.
So cost price:$$CP = \frac{3}{5}S \div 0.75 = \frac{3}{5}S \times \frac{4}{3} = \frac{4}{5}S$$
Now if sold at 90% of actual selling price:$$SP = 0.9S$$
Profit:$$0.9S – 0.8S = 0.1S$$
Profit percentage:$$\frac{0.1S}{0.8S}\times 100 = 12.5\%$$
✅ Answer: B. 12.5%

If $\alpha$ and $\beta$ are the roots of the equation$$4x^2 – 12x + 5 = 0,$$find the value of $\alpha^2 + \beta^2$.

A. 13/2
B. 6
C. 7
D. 15/2

Solution
For the quadratic equation$$4x^2 – 12x + 5 = 0$$
if $\alpha$ and $\beta$ are roots, then:$$\alpha + \beta = \frac{12}{4} = 3$$$$\alpha\beta = \frac{5}{4}$$
Now,$$\alpha^2 + \beta^2 = (\alpha+\beta)^2 – 2\alpha\beta$$$$= 3^2 – 2\left(\frac{5}{4}\right)$$$$= 9 – \frac{10}{4} = 9 – \frac{5}{2} = \frac{18}{2} – \frac{5}{2} = \frac{13}{2}$$
✅ Answer: A. 13/2