SSC CGL PYQ 2024 Quantitative Aptitude
Q1–10 of 25At present Ranveer is 15 years older than Deepika. 5 years later Deepika will be 10 years old. What is the Present age of Ranveer (in years)?
Five years later, Deepika will be 10 years old, so her present age = 10 − 5 = 5 years.Ranveer is 15 years older than Deepika at present.So, Ranveer’s present age = 5 + 15 = 20 years.
Correct answer: (b) 20
Two numbers are in the ratio 4 : 5. If their HCF is 16, then the sum of these two numbers is
If HCF = 16, the numbers are 16×4 = 64 and 16×5 = 80.
So, their sum = 64 + 80 = 144 (Option a)
Which of the following statement is true?
The correct statement is (b): LCM of two natural numbers is divisible by their HCF.
(Other statements are incorrect based on HCF–LCM properties.)
In what ratio should coffee costing Rs. 2800/kg be mixed with coffee costing Rs. 1750/kg so that the cost of the mixture is Rs. 2150/kg.
Using alligation:
Ratio = (2150−1750) : (2800−2150) = 400 : 650 = 8 : 13 (Option a)
The number 45789 is divisible by which of the single digit numbers
Sum of digits of 45789 = 4+5+7+8+9 = 33, which is divisible by 3 and 9. So, 45789 is divisible by both 3 and 9 → Option (b)
210102 can be divided exactly by
Sum of digits of 210102 = 6, so it is divisible by 3 → Correct answer (b)
In an examination, 54% of the candidates passed in science and 42% failed in mathematics. If 32% failed in both subjects,what percentage passed in both subjects?
Failed in science = 100 – 54 = 46
Total failed = 14 + 32 + 10 = 56
Passed in Both = 100 –56 = 44% ( option d) is correct.
In ∆ PQR, M, N, and S are the mid-points of sides PQ, PR and QR, respectively. If the area of the ∆ PQR is 46 cm², what is the area (in cm²) of the quadrilateral MNRQ?
Area of medial triangle = 1/4 of Area of the original triangle.
Step 1: Area of medial triangle MNS
=1/4 × 46 = 11.5cm²
Step 2: Understand quadrilateral MNRQ
Quadrilateral MNRQ consists of:
. The whole triangle PQR
. minus the small medial triangle MNS
Area of MNRQ=46−11.5=34.5
Among the given options, the closest and correct value is:
✅ Answer: 34 (Option D)
The Value of the expression (1.55² + 0.55² + 1.55 x 0.55)
Use the identity:
a² + ab + b² = a³ - b³
1.55² + 0.55²+(1.55 x 0.55)=1.55³ - 0.55³
Correct Answer: Option B
A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km/h and 11 km/h, respectively. What is the distance (in metres) between them after 9 minutes?
Relative speed = 11−10=1 km/h
= 1000/60 =16.67 m/min
In 9 minutes, gap closed
=16.67×9≈150 m
Remaining distance
=200−150=50 m
✅ Answer: 50 m (Option b)