WBJEE-JENPAS-UG SERIES Mathematics
Types Of Differential Equations
22 previous year questions.
Volume: 22 Ques
Yield: High
High-Yield Trend
2
2026 11
2023 9
2022 Chapter Questions 22 MCQs
01
PYQ 2022
hard
mathematics ID: wbjee-je
The inner and outer radius of a ring-shaped iron sheet of thickness 1 cm is 8 cm and 10 cm respectively. When it is melted to make a solid iron ball, its diameter will be 1 cm
1
3 cm
2
6 cm
3
12 cm
4
18 cm
02
PYQ 2022
easy
mathematics ID: wbjee-je
If three times of a number is, 3 less than three times of its square, then the number will be
1
2
3
4
03
PYQ 2022
medium
mathematics ID: wbjee-je
ABCD is a square whose diagonal AC is 4√2 cm. Then the circumference of its inscribed circle is
1
12 cm
2
12.57 cm
3
12.75 cm
4
13 cm
04
PYQ 2022
medium
mathematics ID: wbjee-je
If a ∞ b and b ∞o c, then which of the following is/are correct?
1
a3+b3+c3 ∞ ab
2
a2+ b2∞ ab
3
a + b ∞ ab
4
05
PYQ 2022
medium
mathematics ID: wbjee-je
Which of the following is/are correct?
1
1°<1°
2
1°=1°
3
3750" 1°2′ 30′′
4
06
PYQ 2022
medium
mathematics ID: wbjee-je
If 0<θ≤90°, then the minimum value of 4cot2θ +9 tan2 θ is
1
0
2
12
3
-12
4
13
07
PYQ 2022
medium
mathematics ID: wbjee-je
If sin θ= , then tan θ+secθ =
1
/div>
2
3
/div>
4
/div>
08
PYQ 2022
medium
mathematics ID: wbjee-je
log4 log3, log2 x = 1, then x =
1
2
3
4
09
PYQ 2022
medium
mathematics ID: wbjee-je
If a2 + b2 = 14ab, then log ( )=
1
(log a+ log b)
2
log (a)+ log (b)
3
log
4
log
10
PYQ 2023
hard
mathematics ID: wbjee-je
If , where p, q are integers and q ≠ 0, then = ?
1
2
3
4
11
PYQ 2023
medium
mathematics ID: wbjee-je
If and , , then
1
1:2:3
2
3:-2:9
3
4:-10:9
4
4:2:9
12
PYQ 2023
medium
mathematics ID: wbjee-je
A tower stands vertically on the ground and on the same ground there is a house of height 10 m and the distance between the house and the tower is 15 m. If the angle of elevation of the top of the tower is found to be 45° from the roof of the house, then what is the height of the tower ?
1
10 m
2
15 m
3
20 m
4
25 m
13
PYQ 2023
medium
mathematics ID: wbjee-je
If x4+y4=18x2y2, then which of the following is/are correct?
1
log(x²+y²) = 2 log 2 + logx + logy
2
log(x²-y²) = 2 log 2 + logx + logy
3
4
14
PYQ 2023
medium
mathematics ID: wbjee-je
Consider two triangles △ABC and △DEF, where . Then which is correct?
1
∆АВС ~ ∆DEF
2
∆ABC~ ∆EDF
3
∆ABC~ ∆EFD
4
∆ABC ~ ∆DFE
15
PYQ 2023
medium
mathematics ID: wbjee-je
If tan then cos² A-sin² A = ?
1
2
3
4
16
PYQ 2023
medium
mathematics ID: wbjee-je
The value of is
1
0
2
1
3
-1
4
None of these
17
PYQ 2023
medium
mathematics ID: wbjee-je
If , then
1
sec² A
2
sec² B
3
4
18
PYQ 2023
medium
mathematics ID: wbjee-je
If , a, b, c ≠ 0, then their equivalent ratio is / are
1
2
3
x if x=y
4
-y if x=y
19
PYQ 2023
medium
mathematics ID: wbjee-je
If θ+Φ=90°,θ-Φ=30°,then sin θ+sin Φ=
1
sin θ+cos θ
2
sin Φ+cos Φ
3
sin θ+cos Φ
4
cos θ+cos Φ
20
PYQ 2023
medium
mathematics ID: wbjee-je
1
1
2
8
3
4
21
PYQ 2026
medium
mathematics ID: wbjee-je
The population of a certain mouse species follows
If , then the time at which population becomes zero is:}
1
2
3
4
22
PYQ 2026
medium
mathematics ID: wbjee-je
If
then is equal to:
1
2
3
4