UPSC Insta–DART (Daily Aptitude and Reasoning Test) 7 Apr 2026

Answer: (a)

Explanation:
The first box can contain at most 35 books.
The second box cannot contain less than 20 books and more than 50 books, so it can contain from 20 to 50 books.

For Statement I:
Even if the first box contains 0 books, the second box must contain at least 20 books.
So the total can never be less than 20.
Hence, Statement I is correct.

For Statement II:
Maximum total = 35 + 50 = 85 books.
So together, the two boxes cannot contain more than 90 books.
Hence, Statement II is incorrect.

So the correct answer is (a).

Answer: (b)

Explanation:
Since D and C are at the ends, and E is on the immediate left of D, D cannot be at the left end. So D must be at the right end and C at the left end.

Arrangement starts as:
C _ _ E D

Now, B is between E and A. So B must be immediately to the left of E, and A must be to the left of B.

Thus, the arrangement becomes:
C A B E D

C is at the left end. The second to the right of C is B.
Hence, the correct answer is (b).

Answer: (c)

Explanation:
Let
p + 2 = q – 1 = r + 4 = s – 3 = k

Then,
p = k – 2
q = k + 1
r = k – 4
s = k + 3

Comparing all four numbers:
r = k – 4 is the smallest.

Hence, the correct answer is (c).

Answer: (b)

Explanation:
Order from lowest to highest: _ _ _ _ _

Given:

• B > D and B < C ⇒ D < B < C
• A > B, but A is neither highest nor second highest ⇒ A must be in middle position (3rd)
• C is not highest

So arrangement becomes:
D < B < A < C < E

Now:

• 2nd least = 52 ⇒ B = 52
• 2nd highest = 94 ⇒ C = 94

So A lies between 52 and 94

Hence, A = 60 is possible

Answer: (b)

Explanation:

Start with 100%.

First, 40% is painted green.
Remaining = 60%.

Now 50% of 60% is painted white.
That is 30%.

So total painted = 70%.

Remaining = 30%.

Now 50% of this 30% is painted blue.
That is 15%.

So total painted = 85%.

Uncoloured part = 15%.

This 15% is 30 cm.

So total length = 30 × 100 / 15 = 200 cm

Coloured part = 85% of 200 = 170 cm