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Solution (x² + 2y) × (x³ – 2xy + y³)= x²(x³ – 2xy + y³) + 2y(x³ – 2xy + y³)= x⁵ – 2x³y + x²y³ + 2x³y – 4xy² + 2y⁴= x⁵ + x²y³ – 4xy²+ 2y⁴Put x = 1 and y = -1= (1)⁵ + (1)² (-1)³ – 4(1)(-1)2 + 2(-1)4= 1 + […]
(1) 4500 (2) 4600 (3) 4680 (4) 4710 Solution: Let average production of a company in 9 months be x items :. Accordingto question, 4375 = 3*4000*+9*x/12 or, 4375*12= 12*1000+ 9*x :. 9*x = 12 (4375- 1000) = 12*3375 :. x =12*3375/9 = 4500 Then the option is (1) 4500
Solution L = 20cm , B = 15cm , H = 10cmSurface area of cuboid = 2(lb + bh + hl)= 2(20×15+15×10+10×20)cm²= 2(300 + 150 + 200)cm²= 2(650)cm² = 1300cm²
(1)30∘ (2) 45∘ (3) 60∘ (4) 45∘ or 60∘ Solution: tan2θ- √3 tan θ -tan θ +√3=0 = tan θ (tan θ -√3) -1(tan θ -√3) =0 = (tan θ -1) (tan θ -√3)=0 = tan θ =1=tan 45∘ = θ = 45∘ Again, tan θ -√3 =0 ⇒ tan θ =√3 = tan 60∘ ⇒ θ = 60∘
If 0∘ < θ < 90∘, and tan2θ-(√3+1) tan θ+√3=0, then θ=? Read More »
Solution Given,x(x + 1) + 8 = (x + 2) (x – 2)x²+x+8 = x²-2² [By algebraic identities]Cancel x² both the sides.x+8=-4x+12=0Since, this expression is not in the form of ax²+bx+c, hence it is not a quadratic equation.
Check if x(x + 1) + 8 = (x + 2) (x – 2) is in the form of quadratic equation. Read More »
Solution For any polyhedron,F + V – E = 2Given here, F = 7, V = 10, E = ?Substituting the values, we get;7 + 10 – E = 217 – E = 2E = 17 – 2E = 15
A polyhedron has 7 faces and 10 vertices. How many edges does the polyhedron have? Read More »
Solution Given: scale of map = 1 : 80000000Thus, 1 unit on map shows 80000000 units in the real world.If A and B are 3 cm apart on map,Actual distance = 3cm × 80000000= 240000000= 2400 kmIf C and D are at a distance of 32km apart, then3200km = 3200 × 1000 × 100cm= 320000000
(1) 135 (2) 90 (3) 60 (4) 140 Solution: Sachin : Sourav = 3 : 2 Sourav : Vinod = 3 : 2 Ratio of the runs scored by Sachin, Sourav and Vinod respectively = 3*3 : 2*3 : 2*2 = 9: 6: 4 ;. Runs scored by Sachin = 9/19*285=135 Then the option is
Solution Let the total number of matches played be x.The team won around 10 matches, and the team’s winning percentage was 40%.40/100 × x = 1040x = 10 × 10040x = 1000x = 1000/40= 100/4= 2Hence, the team played 25 matches.
(1) 21 years (2) 24 years (3) 30years (4) 40 years Solution: Let Maya’s present age be 6x years and Chhaya’s present age be 5x years. After 15 years, 6x+15/5x+15 = 9/8 ⇒ 48x + 120 = 45x + 135 ⇒ 48x – 45x = 135 – 120 ⇒ 3x= 15 ⇒ x=5 :. Maya’s present age =
