এই ভিডিওতে ডব্লিউবিসিএস ২০২৩ এর মেন্স পেপার 4 এ আসা, সমস্ত বীজগণিতের অংক গুলি সমাধান করা আছে মোট ১৭ টা কোশ্চেন বীজগণিত থেকে এসেছিল সেগুলো সব কয়টা এখানে ডিটেলসে বোঝানো আছে।
কোশ্চেনগুলো হল,
Algebra & Simplification (বীজগণিত ও সরলীকরণ)
Q1. If x, y, z are real and (x-2)^2+x^2+y^2+2z^2=0, then the value of (x+y+z) is:
2
8
6
10
Q25. x+1/x=31, x^3-1=?
0
1
-1
2
Q26. The present population of a city is 180000. If it increases at the rate of 10% per annum, its population after 2 years will be:
207800
227800
217800
237800
Q34. 1/(a+b+x)=1/a+1/b+1/x, x≠0, x=?
a
b
-a, -b
a, b
Q38. $(++)$ simplifies to:
16-√3
4-√3
2-√3
2+√3
Q43. If (6^n×3^5×(27)^3)/(3×(81)^4 )=27, then value of n is:
0
2
3
4
Q57. The value of 1/(√1+√2)+1/(√2+√3)+⋯+1/(√80+√81) is:
9
7
8
√80
Q73. The remainder, when (x^3+3x^2+3x+1) is divided by (x-1), is:
1
0
2
8
Q81. The product of $(2-)(2+)(4+2)=7(-2)$:
1
2
3
4
Q88. If 4×5^x=500 then the value of x is:
8
1
64
27
Q91. The roots of the quadratic equation 5x^2+13x+k=0 are reciprocal to each other, then value of k will be:
5
0
4
6
Q97. The H.C.F. of two natural numbers a and b is h and their L.C.M. is L, then value of a{2}+b{2} is (given h+L=a+b):
h{3}+L{3}
h+L
h{2}+L{2}
h{3}-L{3}
Q98. If a=2024, b=2023, c=2022, then the value of (a^2+b^2+c^2-ab-bc-ca) is:
0
3
4024
2012
Q99. _{i=1}^{10}(10x_{i})=70 ...
650
450
550
750
Q110. If 2^(x+2)=2^(2x+3)+2 then value of x is:
-1
2
-2
2
Q150. The roots of the equation: x^2/x=6:
0
6
0, 6
-6
Q175. If x-y 1/z, y-z 1/x, z-x 1/y, then sum of three variation constants is:
-1
0
1
Q176. The value of a machine depreciates @25% p.a. If its present value is Rs. 14,400, what will be its worth after 2 years?
Rs. 8,100
Rs. 9,216
Rs. 10,200
Rs. 10,800
Q200. The simplified value of (2-1/3)(2-3/5)(2-5/7).…(2-997/999) is:
5/999
1001/999
1001/3
501/999
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