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CGL PYQ Articles & Notes

Explore Vitorr Classes CGL PYQ articles, bilingual notes, exam-focused explanations and current updates for SSC, Railway, UPSC and other competitive exams.

22 published articles • Updated as new material is published
From a sample of 200 software engineers, determine the ratio of those proficient in Python to those proficient in Java using the given information.
13 Jun 2026 • CGL PYQ

From a sample of 200 software engineers, determine the ratio of those proficient in Python to those proficient in Java using the given information.

 A and B start a business. A invests ₹80,000 for 9 months, and B invests ₹1,20,000 for 6 months. What is B's share of a ₹45,000 profit?
13 Jun 2026 • CGL PYQ

A and B start a business. A invests ₹80,000 for 9 months, and B invests ₹1,20,000 for 6 months. What is B's share of a ₹45,000 profit?

 The average of 15 numbers is 80. The average of the first 6 numbers is 72. The average of the next 6 numbers is 25% more than the average of the first 6 numbers. The 13th number is 8 more than the 15th number, and the 14th number is 10 less than the 15th number. What is the average of the 13th and 14th numbers?
14 Jun 2026 • CGL PYQ

The average of 15 numbers is 80. The average of the first 6 numbers is 72. The average of the next 6 numbers is 25% more than the average of the first 6 numbers. The 13th number is 8 more than the 15th number, and the 14th number is 10 less than the 15th number. What is the average of the 13th and 14th numbers?

 An amount is said to double in 5 years with compound interest. How many years will it take for the amount to grow to 8 times its original value?
14 Jun 2026 • CGL PYQ

An amount is said to double in 5 years with compound interest. How many years will it take for the amount to grow to 8 times its original value?

 Suman purchased 25 liters of milk at ₹45 per liter and another 15 liters of milk at ₹50 per liter. She combined both quantities and then sold the entire mixture at ₹48 per liter. What was her total profit or loss?
14 Jun 2026 • CGL PYQ

Suman purchased 25 liters of milk at ₹45 per liter and another 15 liters of milk at ₹50 per liter. She combined both quantities and then sold the entire mixture at ₹48 per liter. What was her total profit or loss?

 A retailer marks an air conditioner 80% above its cost price
15 Jun 2026 • CGL PYQ

A retailer marks an air conditioner 80% above its cost price

 A 40-liter mixture contains juice and water in the ratio 5:3. How much water (in liters) must be added to this mixture to change the ratio of juice to water to 2:3?
15 Jun 2026 • CGL PYQ

A 40-liter mixture contains juice and water in the ratio 5:3. How much water (in liters) must be added to this mixture to change the ratio of juice to water to 2:3?

 Two oils priced at ₹90 per kg and ₹150 per kg are blended and sold at ₹144 per kg, achieving a profit margin of 20%. What is the ratio of the two oils in the mixture?
15 Jun 2026 • CGL PYQ

Two oils priced at ₹90 per kg and ₹150 per kg are blended and sold at ₹144 per kg, achieving a profit margin of 20%. What is the ratio of the two oils in the mixture?

 Three pipes A, B, and C can fill a tank in 6, 8, and 12 hours respectively. When all three pipes are opened together, they work for 2 hours before pipe C is closed. How much additional time will it take to completely fill the tank after that?
15 Jun 2026 • CGL PYQ

Three pipes A, B, and C can fill a tank in 6, 8, and 12 hours respectively. When all three pipes are opened together, they work for 2 hours before pipe C is closed. How much additional time will it take to completely fill the tank after that?

 A bullet train covers a fixed distance in 30 minutes at an average speed of 240 km/h. Due to track maintenance, it needs to be diverted, increasing the distance by 20%. If the train needs to arrive at its destination on time (i.e., in 30 minutes), what should its new average speed be in km/h?
15 Jun 2026 • CGL PYQ

A bullet train covers a fixed distance in 30 minutes at an average speed of 240 km/h. Due to track maintenance, it needs to be diverted, increasing the distance by 20%. If the train needs to arrive at its destination on time (i.e., in 30 minutes), what should its new average speed be in km/h?

 Two cars, X and Y, start from points 360 km apart and travel at constant speeds. If they move towards each other, they meet in 4 hours. If they move in the same direction, they meet in 12 hours. What is the speed of car X? (Assume X is the faster car.)
15 Jun 2026 • CGL PYQ

Two cars, X and Y, start from points 360 km apart and travel at constant speeds. If they move towards each other, they meet in 4 hours. If they move in the same direction, they meet in 12 hours. What is the speed of car X? (Assume X is the faster car.)

 A bicycle wheel has a radius of 35 cm. What percentage of its circumference is covered in a quarter turn?
15 Jun 2026 • CGL PYQ

A bicycle wheel has a radius of 35 cm. What percentage of its circumference is covered in a quarter turn?

 The line y = m x + 5 passes through the point ( 1 , 8 ) . Find m
15 Jun 2026 • CGL PYQ

The line y = m x + 5 passes through the point ( 1 , 8 ) . Find m

 Simplify: ( 2 1 2 + 3.6 ) − 1.9
13 Jun 2026 • CGL PYQ

Simplify: ( 2 1 2 + 3.6 ) − 1.9

 A ring-shaped disc has outer radius 10 cm and inner radius 7 cm. What is the approximate ratio of the ring's area to the whole outer circle?
15 Jun 2026 • CGL PYQ

A ring-shaped disc has outer radius 10 cm and inner radius 7 cm. What is the approximate ratio of the ring's area to the whole outer circle?

 Evaluate: 31 3 + 18 3 − 37 3 + 210
15 Jun 2026 • CGL PYQ

Evaluate: 31 3 + 18 3 − 37 3 + 210

 Arrange the fractions 5/9 , 4/7 , 3/5 ​ and 2/3 ​ in ascending order.
13 Jun 2026 • CGL PYQ

Arrange the fractions 5/9 , 4/7 , 3/5 ​ and 2/3 ​ in ascending order.

 Evaluate: 7 1/4 − [ 5/6 ÷ { 1/3 − ( 1/2 × ( 3/4 − 1/2 ) ) } ]
13 Jun 2026 • CGL PYQ

Evaluate: 7 1/4 − [ 5/6 ÷ { 1/3 − ( 1/2 × ( 3/4 − 1/2 ) ) } ]

 What is the average of all integers between 100 and 250 that are exactly divisible by 11?
14 Jun 2026 • CGL PYQ

What is the average of all integers between 100 and 250 that are exactly divisible by 11?

 A sum becomes ₹6,600 in 2 years and ₹7,920 in 3 years at compound interest. What is the original principal?
14 Jun 2026 • CGL PYQ

A sum becomes ₹6,600 in 2 years and ₹7,920 in 3 years at compound interest. What is the original principal?

 A circular pizza having a radius of 21 cm. If 75% of it is eaten, what is the area of pizza remaining?
15 Jun 2026 • CGL PYQ

A circular pizza having a radius of 21 cm. If 75% of it is eaten, what is the area of pizza remaining?

 A toy manufacturer produced 1200 toy cars at a total cost of ₹90,000. He donated 200 cars to a charity event. For the remaining cars, he announced a 10% discount on the market price of ₹120 per car. He also offered 2 toy cars free for every 8 toy cars purchased. If all 1200 toy cars were distributed, what is his overall gain or loss percentage?
14 Jun 2026 • CGL PYQ

A toy manufacturer produced 1200 toy cars at a total cost of ₹90,000. He donated 200 cars to a charity event. For the remaining cars, he announced a 10% discount on the market price of ₹120 per car. He also offered 2 toy cars free for every 8 toy cars purchased. If all 1200 toy cars were distributed, what is his overall gain or loss percentage?