10 SSC CGL Quantitative Aptitude previous year questions on Algebra — options free on every question; 1 include the answer & explanation free, the rest unlock with PYQ Pass.
Q1 FREE PREVIEW
PYQ
The sum of three numbers is 252 . If the first number is thrice the second and third number is two-third of the first, then the second number is
a41
b21
c42
d84
✓ Correct answer: c) 42
ExplanationAssume that the three numbers be a, b and c a+b+c=252 ..............................(i) Now, a=3b and using (i) & (ii), we get 3b + b + 2b = 252 6b = 252 b = 42
Q2
PYQ
If the expression px3-2x2-qx+18 is completely divisible by (x2-9), then what is the ratio between p and q respectively?
a1 : 9
b1 : 3
c3 : 1
d9 : 1
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q3
PYQ
If the expression px3-qx2-7x-6 is completely divisible by x2-x-6, then what is the value of p and q respectively?
a0,1
b1,0
c2,1
d1,2
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q4
PYQ
The difference between the cubes of two given natural numbers is 6272 , while the positive difference between the two given numbers is 8 . What is the sum of the cubes of the two given numbers?
a9728
b9684
c8000
d9600
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q5
PYQ
The sum of the two numbers is 98 .The difference between the two numbers is 28 .Find one of the two numbers.
a32
b62
c58
d35
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q6
PYQ
The difference between the cubes of two given natural numbers is 6272 , while the positive difference between the two given numbers is 8 . What is the product of the two given numbers?
a160
b240
c200
d320
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q7
PYQ
The sum of the cubes of two given natural numbers is 9728 , while the sum of the two given numbers is32. What is the positive difference between the cubes of the two given numbers?
a7272
b5832
c4662
d7904
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q8
PYQ
For what value of m will the system of equations 17x+my+102=0 and 23x+299y+138=0 have infinite number of solutions?
a221
b223
c220
d219
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q9
PYQ
The sum of the cubes of two given natural numbers is 9728 , while the sum of the two given numbers is 32 . What is the product of the two given numbers?
a160
b320
c240
d200
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Q10
PYQ
The square of 72 is equal to the product of 216 and a number. Find the number.
a36
b18
c24
d48
🔒
Answer & explanation — PYQ Pass
Options are free to see. Unlock the correct answer and full explanation with Pass.
Unlock · ₹149
Practice more SSC CGL Quantitative Aptitude PYQs
Browse every Quantitative Aptitude chapter, or explore the full SSC CGL question bank.