URVASHI GARG

Question: There are 7 students sitting on the bleachers and 33 students sitting on the floor. What is the ratio of the number of students sitting on the floor to the number of students sitting on the bleachers?(1) 33:7(2) 7:33(3) 33:40(4) 40:33 Solution: Find the number of students sitting on the floor and the number […]

Question: Write 1/4 as a decimal number.(1) 0.15(2) 0.25(3) 0.14(4) 0.23 Solution: Write an equivalent fraction with 100 as the denominator. Then write the decimal number.1/4 = 1*25/4*25= 25/100= 0.25 Our Social Media Presence –https://youtube.com/@rankmadeeasyhttps://www.facebook.com/groups/rankmadeeasyhttps://www.facebook.com/RankMadeEasyhttps://www.instagram.com/rankmadeeasy1https://twitter.com/rankmadeeasy

Question: What is the median?5, 8, 4, 5, 3 (1) 3(2) 4(3) 4.5(4) 5 Solution: First, arrange the numbers from least to greatest:3 4 5 5 8Now find the number in the middle.3 4 5 5 8The number in the middle is 5.The median is 5.Then the option is (4) 5 Our Social Media Presence

Question: A choir teacher is dividing 15 sopranos and 6 altos into singing groups. He wants each group to have the same combination of sopranos and altos, with no singers left over. What is the greatest number of groups he can make? (1) 2 (2) 3 (3) 5 (4) 2.5 Solution Write the prime factorisation

Solution: Sequence of numerators ⇒1,3,5,7,9 Sequence of denominators ⇒2,4,8,16,32 :. Next fraction = 9/32 Then the option is (4) 9/32

(1) 30cm2   (2) 60cm2 (3) 30√2cm2 (4) 60√2cm2 Solution: Semi-perimeter, s=9+10+11/2 = 15cm Area of triangle = √s(s-a)(s-b)(s-c) =√15(15-9)(15-10)(15-11) =√15*6*5*4 = 30√2cm2 Then the option is (3) 30√2cm2

(1) 0 (2) 1 (3) 2 (4) 5 Solution: (2b+1/b)2 = 4b2+1/b2+2*2b*1/b =2 + 4 = 6 ⇒ 2b+1/b =√6 .’. 8b3+1/b3  = (2b+1/b)3 -3*2b*1/b(2b+1/b) = (√6)3 -6(√6) = 6(√6) – 6(√6) =0 Then the option is (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

(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∘

(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