IBPS PO 2017 Quantitative aptitude Practice Quiz 21

1 . A.   16 : 17 B.   17 : 16 C.   23 : 21 D.   21 : 23 2 . 2.What is the approximate per cent increase in the number of ball bearings manufactured by Company P in the year 2013, from the previous year? A.   143% B.   157% C.   122% D.   59% 3 . 3.What is the average number of ball bearings manufactured by all companies together in the year 2009? A.   3360000 B.   336000000 C.   3360000000 D.   None of these 4 . 4. The number of ball bearings manufactured by Company Q in the year 2009 is approximately what per cent of the total number of ball bearings manufactured by it in all the years together? A.   24% B.   32% C.   11% D.   17% 5 . 5. How many more ball bearings need to be manufactured by Company S in the year 2013 to make the ratio of the number of ball bearings manufactured by Company S to that of those manufactured by Company U in the year 2013 as 54 : 83? A.   80000000 B.   2500000 C.   34000000 D.   5000000 6 . Directions (Q. 6-10): In each of the following questions two equations are given. You have to solve them and give answer as: I. ${2p^2}$ - 7p + 3 = 0 II. ${4q^2}$ + 3q - 1= 0 A.   if p < q B.   if p > q C.   if p ≤q D.   if p = q or no relation can be established 7 . I. ${2p^2}$ - 169 = 0 II.${q^2}$ - 289 + 195 = 0 A.   if p < q B.   if p > q C.   if p ≤ q D.   if p = q or no relation can be established 8 . I.${p^2}$-5p+6=0 II. q${q^2}$ - 3q + 2 = 0 A.   if p < q B.   if p > q C.   if p ≤ q D.   if p ≥ q 9 . I. 4${p^2}$ - p - 3 = 0 II. 2${q^2}$ + q - 1 = 0 A.   if p < q B.   if p > q C.   if p ≥ q D.   if p = q or no relation can be established 10 . I. ${p^2}$ + 11p + 30 = 0 II. ${q^2}$- 11q + 30 = 0 A.   if p < q B.   if p > q C.   if p ≥q D.   if p = q or no relation can be established

Answers & Solutions 1 .     Answer : Option B Explanation : The required ratio=$32\over30.4$=$323\over304$=$17\over16$=17:16 2 .     Answer : Option A Explanation : The required percent increase=$53.0-21.8\over21.8$x100≈143% 3 .     Answer : Option B Explanation : The required average (in crores) =$36.6+18.1+38.7+43.6+24.1+40.5\over6$=$201.6\over6$ = 33.6 crores = 33,60,00,000 4 .     Answer : Option D Explanation : The required per cent $36.5\over51.6+36.5+43.5+18.1+23.5+35.35.7$x100 =$36.5X100\over208.9$≈17.4% 5 .     Answer : Option D Explanation : To get the ratio (as mentioned in the question part) the total production of the company S in 2013 needs to be =$41.5\over83$x54=27 crores Hence, (27 cr - 26.5 cr =) 0.5 crore more ball bearings need to be manufactured by the company S in the year 2013. 6 .     Answer : Option B Explanation : p > q I. ${2p^2}$ - 6p - p + 3 = 0 2p(p - 3) -1(p - 3) = 0; (2p - 1)(p- 3) = 0 p = $1\over2$,3 p > q II.${4q^2}$+ 4q - q - 1 = 0; 4q(q + 1) -1(q + 1) = 0 (4q - 1)(q + 1) = 0; q = $1\over4$,-1 7 .     Answer : Option C Explanation : I. p ≤q; ${2p^2}$ = 169 p = ± 13  ; II. q${2q^2}$ - 15q - 13q + 195 = 0 q(q - 15) - 13(q - 15) = 0 (q - 13)(q - 15) = 0 q = 13, 15 8 .     Answer : Option D Explanation : p ≥q I. ${p^2}$ - 3p - 2p + 6 = 0 p(p - 3) -2(p - 3) = 0 (p - 2)(p - 3) = 0; p = 2, 3 II. ${q^2}$ - 2q - q + 2 = 0 q(q - 2) -1(q - 2) = 0 (q - 1)(q - 2) = 0 q = 1, 2 9 .     Answer : Option D Explanation : I. 4${p^2}$ - 4p + 3p - 3 = 0 4p(p -1)+ 3(p - 1) = 0 (4p + 3) (p - 1) = 0 p = 1, $-3\over4$  II. 2${q^2}$ + 2q - q - 1 = 0 2q(q + 1) -1(q + 1) = 0 (q + 1)(2q - 1) = 0; q = $1\over2$,-1 10 .     Answer : Option A Explanation : p < q ${p^2}$ + 6p + 5p + 30 = 0 p(p + 6) +5(p + 6) = 0 (p + 5) (p + 6) = 0 p = -5, -6 II. ${q^2}$ - 6q - 5q + 30 = 0 q(q - 6) -5(q - 6) = 0 (q - 6) (q - 5) = 0; q = 5, 6 Also read Age Calculator for Bank exams IBPS SSC IBPS PO Recruitment latest bank recruitment notification ssc recruitment notification IBPS PO Notifications