Quantitative Aptitude Quiz
Quantitative Aptitude Quiz for Railway and SSC covers an important part of the exam and hence it must be prepared thoroughly. SSC, Railways & many other government job exams are scheduled to be held in the upcoming months. It needs complete understanding of the basic concepts along with thorough understanding. This page will provide you all the quizzes of the Arithmetic section of various exams such as RRB NTPC, SSC CHSL, SSC MTS etc. Practice the quantitative aptitude quizzes given below and surpass the high cut off marks in the exam.
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Quantitative Aptitude Quiz: Set 100
1.A and B together can do a piece of work in 9 days. If A does thrice the work of B in a given time, the time A alone will take to finish the work is
a. 4 days
b. 6 days
c. 8 days
d. 12 days
d. 12 days Explanation: (A + B)’s efficiency= 100/9 (= 11.11%). Suppose, the efficiency of B= x%; hence, the efficiency of A= 3x; x + 3x= 100/9; x= (25/9)%. => The efficiency of A= (25/3)%. A will do this work in = 100/(25/3) = 12 days;
2.The diameters of two cylinders are in the ratio 3:2 and their volumes are equal. The ratio of their heights is
a. 2:3
b. 3:2
c. 9:4
d. 4:9
d. 4:9Â Explanation: Volume1: Volume2 = (pi*r12h1): (pi* r22h2); Since, volumes of both cylinders are equal; (r1/r2)2=(h2/h1); => h1/h2 =4: 9;
3.A trader sold a cycle at a loss of 10%. If the selling price had been increased by Rs. 200, there would have been a gain of 6%. The cost price of the cycle is
a. Rs.1200
b. Rs.1205
c. Rs.1250
d. Rs.1275
c. Rs.1250 Explanation: Suppose that the cost price of the cycle= Rs. x; x —–(sold at a loss of -10% )—-> 0.90x; 0.90x————(Rs. 200 increase)——> 0.90x + 200; As per the stated condition, 0.90x + 200 = 1.06x; x = Rs. 1250;
4.In a city, 40% of the people are illiterate and 60% are poor. Among the rich, 10% are illiterate. The percentage of the illiterate poor population is
a. 36
b. 60
c. 40
d. 50
b. 60 Explanation: Let Total number of people =100;
Total poor people = 60% of 100 =(60*100)/100=60=(60*100)/100=60;
Therefore, rich people = 40% of 100 =(40*100)/100=40=40;
Total illiterate people = 40% of total people =(40*100)/100=40;
Among rich, 10% are illiterate = 10% of 40 =(10*100)/40=4;
The number of the illiterate poor population =40−4=36;
Therefore, illiterate poor =36, total population =100;
Required percentage =(36*100)/100=36%.
5.In what time will a 100 metres long train running with a speed of 50 km/hr cross a pillar?
a. 7.0 sec
b. 72 sec
c. 7.2 sec
d. 70 sec
c. 7.2 sec Explanation: Speed = Distance/Time; Time= Distance/ Speed; => Time = 100/(50*5/18) = 7.2 sec.
6.If l + m + n = 9 and l2 + m2 + n2 = 31, then the value of lm + mn + nl will be
a. 22
b. 50
c. 25
d. -25
c. 25 Explanation: (l + m + n)2= l2 + m2 + n2+2(l*m + m*n + n*l); Hence, lm + mn + nl = 92 – 31 = 50/2= 25;
7.The centroid of a triangle is the point where
a. the medians meet
b. the altitudes meet
c. the right bisectors of the sides of the triangle meet
d. the bisectors of the angles of the triangle meet
a. the medians meet
8.In a triangle PQR, the side QR is extended to S. ∠QPR = 72° and ∠PRS = 110°, then the value of ∠PQR is:
a. 38°
b. 32°
c. 25°
d. 29°
a. 38°
9.In a trapezium ABCD, AB || CD, AB < CD, CD = 6 cm and distance between the parallel sides is 4 cm. If the area of ABCD is 16 cm2, then AB is
a. 1 cm
b. 2 cm
c. 3 cm
d. 8 cm
b. 2 cm
10.If tanθ + cotθ = 5, then the value of tan2 θ+ cot2 θ is
a. 22
b. 25
c. 23
d. 27
c. 23 Explanation: tanθ + cotθ = 5; (given) Square both sides- tan2 θ+ cot2 θ + 2 = 25; tan2 θ+ cot2 θ = 23;
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