PGEE 04 || APTITUDE AND MATHEMATICS || 2026

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Question 1

The minister's speech was replete with _______ statements; though forceful in delivery, the content

was logically _______ and factually tenuous.

  • bombastic ... cogent

  • pellucid ... incoherent

  • grandiloquent ... specious

  • laconic ... verbose

Question 2

In how many ways can the letters of the word "EQUATION" be arranged such that all vowels always appear together?

  • 720

  • 2880

  • 4320

  • 1440

Question 3

A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 360 m long?

  • 54 seconds

  • 60 seconds

  • 48 seconds

  • 66 seconds

Question 4

A vessel contains a mixture of milk and water in the ratio 5:3. If 16 litres of the mixture is removed and replaced with 16 litres of pure milk, the new ratio becomes 9:3. Find the original volume of the mixture

  • 48 litres

  • 64 litres

  • 72 litres

  • 56 litres

Question 5

A trader buys two varieties of rice — Type A and Type B — in the ratio 3 : 5 (by quantity). He buys Type A at ₹40/kg and Type B at ₹60/kg. He then mixes them and sells the mixture at a price that gives him a 25% profit on his total cost. However, due to a billing error, 15% of the total quantity is sold at ₹10/kg below the selling price. What is the approximate overall profit percentage on the entire transaction?

  • 20%

  • 30%

  • 32%

  • 22%

Question 6

If 1st January 2021 was a Friday, then what day of the week was 15th August 2024?

  • Monday

  • Tuesday

  • Sunday

  • Thursday

Question 7

If a positive real x satisfies the equation: log₂(x) + log_{√2}(x) = 48, then the value of x is:

  • 216

  • 416

  • 214

  • 414

Question 8

Select the number that will come next in the following series: 2,5,14,41,122,?

  • 350

  • 365

  • 371

  • 356

Question 9

Four words are given. Three share a common trait. Identify the ODD ONE OUT:

Equivocate — Prevaricate — Palter — Expatiate

  • Equivocate

  • Prevaricate

  • Palter

  • Expatiate

Question 10

PHILATELIST : STAMPS :: NUMISMATIST : ? — Which analogy best extends this pattern?

(A) Numismatist : Gold (B) Numismatist : Coins (C) Numismatist : Antiques (D) Numismatist :

Medals

  • Gold

  • Coins

  • Antiques

  • Medals

There are 24 questions to complete.

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