SSC CGL Undated PYQs

Question 1

A milkman buys milk at Rs 24 per litre. He adds 1/5 of water to it and sells the mixture at Rs 32 per litre. What will be his gain (in %)?

Accepted Answer

Let he buys 5L milk for Rs 120 (24x5). He adds 1L water, making it 6L. Selling price = 6 x 32 = Rs 192. Profit = 192 - 120 = 72. Profit % = (72/120) x 100 = 60%.

Question 2

At 30% discount the selling price of an article is Rs 1050. What is the selling price (in Rs) if the discount is 15%?

Accepted Answer

Let Marked Price be MP. 70% of MP = 1050, so MP = 1500. The new selling price at a 15% discount is 85% of 1500, which equals 1275.

Question 3

A shopkeeper by selling 6 items, earns a profit equal to the selling price of 1 item. What is his profit percentage?

Accepted Answer

Let the SP of 1 item be 1. Total SP = 6, Profit = 1. Cost Price (CP) = SP - Profit = 6 - 1 = 5. Profit % = (1/5) × 100 = 20%.

Question 4

Which of the following type of car has the highest increase in sales from 2009 to 2012?

Accepted Answer

By comparing the sales data for each car type between 2009 and 2012 from the given chart, the absolute difference is maximum for SUVs, making it the highest increase.

Question 5

What is the simpliﬁed value of (1– sin A cos A)(sin A + cos A)?

Accepted Answer

Use the identity a³ + b³ = (a + b)(a² + b² - ab). Since sin² A + cos² A = 1, the expression matches (sin A + cos A)(sin² A + cos² A - sin A cos A), which equals sin³ A + cos³ A.

Question 6

The length of diagonal of a square is 9√2 cm. The square is reshaped to form a triangle. What is the area (in cm2) of largest incircle that can be formed in that triangle?

Accepted Answer

Square side is 9, so perimeter is 36. For the largest incircle, form an equilateral triangle of side 12. Inradius = 12/(2√3) = 2√3. Area = π(2√3)² = 12π.

Question 7

Select the related word from the given alternatives. Lips : Smile:: Eyes : ?

Accepted Answer

Just as lips are used to form a smile, eyes are used to wink. Both represent specific facial expressions or actions associated with those body parts.

Question 8

Priya cycles 5 km North, then turns East and cycles 4 km, then turns South and cycles 5 km, then turns to her right and cycles 6 km. Where is she now with reference to her starting position?

Accepted Answer

Priya goes 5 km North, 4 km East, then 5 km South (she is now 4 km East of start). Turning right (West), she goes 6 km. Final position: 6 - 4 = 2 km West.

Question 9

Whose recommendation is mandatory to impeach the President of India from his ofﬁce before the completion of his/her term?

Accepted Answer

Under Article 61, the President can be impeached for violating the Constitution. This requires a resolution passed by a special two-thirds majority in both houses of the Parliament.

Question 10

If the diameter of a hemisphere is 21 cm, then what is the volume (in cm3) of hemisphere?

Accepted Answer

The radius is 21/2 cm. The volume of a hemisphere is (2/3)πr³. Calculating (2/3) × (22/7) × (21/2)³ gives exactly 2425.5 cm³.

Question 11

Δ DEF is right angled at E. If m∠D = 30°, what is the length of DE (in cm), if EF = 6√3 cm?

Accepted Answer

In right ΔDEF, tan(30°) = EF / DE. Substituting the values, 1/√3 = 6√3 / DE. Solving this gives DE = 6√3 × √3 = 18 cm.

Question 12

Six year ago Parvez’s age was same as the present age of Manish. If the present age of Parvez is one-fourth more than that of Manish's present age, then in how many years will Parvez’s age become double of Manish’s present age?

Accepted Answer

Let Manish's age be M. Parvez's age P = M + 6. Also, P = 5/4 M. Solving gives M = 24 and P = 30. Double of M is 48. Parvez needs 48 - 30 = 18 years.

Question 13

Who has recently launched his autobiography titled 'An Unsuitable Boy'?

Accepted Answer

'An Unsuitable Boy' is the autobiography of Indian film director Karan Johar, co-authored with Poonam Saxena. It details his childhood, entry into Bollywood, and personal life.

Question 14

If sin 3θ sec 2θ = 1, then what is the value of [3 tan2 (5θ/2) – 1]?

Accepted Answer

sin 3θ sec 2θ = 1 means sin 3θ = cos 2θ, so 3θ + 2θ = 90°, giving 5θ = 90°. Then 3 tan²(45°) - 1 = 3(1) - 1 = 2.

Question 15

Improve the bracketed part of the sentence. By rescuing the child from fire, the local resident (added another feather to his cap.)

Accepted Answer

The idiom 'add another feather to one's cap' means to achieve something significant that one can be proud of. Therefore, 'made a significant achievement' is the correct meaning.

Question 16

A shopkeeper by selling 5 items, earns a profit equal to the selling price of 1 item. What is his profit percentage?

Accepted Answer

Let SP of 1 item be 1. SP of 5 items is 5, and profit is 1. So, CP = 5 - 1 = 4. Profit % = (1/4) × 100 = 25%.

Question 17

In the following question, select the related number from the given alternatives. 48 : 63 : : 80 : ?

Accepted Answer

The pattern follows n² - 1 for consecutive numbers. 48 = 7² - 1, 63 = 8² - 1, and 80 = 9² - 1. The next number is 10² - 1 = 99.

Question 18

Which of the following rivers flows from India to Pakistan?

Accepted Answer

The Satluj river originates in Tibet, enters India through Himachal Pradesh, and flows westward into Pakistan to join the Chenab river, eventually meeting the Indus.

Question 19

Who pioneered diagnostic ultrasound?

Accepted Answer

Ian Donald, a Scottish physician, pioneered the use of diagnostic ultrasound in medicine during the 1950s, revolutionizing obstetrics and gynecology by allowing safe fetal imaging.

Question 20

Who discovered Sodium?

Accepted Answer

Sir Humphry Davy discovered sodium in 1807 by the electrolysis of molten sodium hydroxide (caustic soda). He also discovered potassium using the same method.