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 89
1.The angle of elevation of a ladder leaning against a wall is 60 degrees and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is
a. 2.3 m
b. 4.6 m
c. 9.2 m
d. 7.8 m
c. 9.2 m
2.The product of two 2-digit numbers is 2160 and their H.C.F. is 12. The numbers are
a. (12, 60)
b. (72, 30)
c. (36, 60)
d. (60, 72)
c. (36, 60)
3.The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Rs. 1. The sum (in Rs.) is:
a. 620
b. 630
c. 640
d. 625
d. 625
4.In a mixture of 25 liters, the ratio of milk to water is 4:1. Another 3 liters of water is added to the mixture. The ratio of milk to water in the new mixture is
a. 5:1
b. 5:2
c. 5:3
d. 5:4
b. 5:2
5.If p = 99, then the value of p(p2 +3p+3) will be
a. 999999
b. 1000000
c. 1000001
d. 999998
a. 999999 Explanation: p(p2 +3p+3)= p(p2 +2p+p+1 + 2) = p[(p+1)2+(p+2)]; = 99*[(99+1)2 + 99+2] = 99*[10000+101]= 990000+9999 = 999999;
6.If a-b=1 and a3-b3 = 61, then the value of ab will be
a. -20
b. 20
c. 30
d. 60
b. 20 Explanation: (a-b)2 = a2+b2-2ab =1; —-eq.(i) (a3-b3)=(a-b)( a2+b2+ab) = a2+b2+ab =61;——-eq.(ii) Subtract eq.(i) from eq.(ii)- 3ab = 60; =>ab=20;
7.The point where the 3 medians of a triangle meet is called
a. centroid
b. Incentre
c. Circumcentre
d. orthocentre
a. centroid Explanation: The centroid of a triangle is the intersection of the three medians of the triangle (each median connecting a vertex with the midpoint of the opposite side). It lies on the triangle’s Euler line, which also goes through various other key points including the orthocenter and the circumcenter.
8. ΔABC a right angled triangle has ∠B = 90° and AC is hypotenuse. D is its circumcentre and AB = 3 cms, BC = 4 cms. The value of BD is
a. 3 cms
b. 4 cms
c. 2.5 cms
d. 5.5 cms
c. 2.5 cms
9. ΔABC is an equilateral triangle and D, E are midpoints of AB and BC respectively. Then the area of Δ ABC : the area of the trapezium ADEC is
a. 5:3
b. 4:1
c. 8:5
d. 4:3
d. 4:3
10.If x=aCosθCosΦ, y = aCosθSinΦ and z= aSinθ, then the value of x2 + y2 + z2 is
a. 2a2
b. 4a2
c. 9a2
d. a2
d. a2 Explanation: x2 + y2 + z2 = (acosθcosΦ)2 +( aCosθSinΦ)2+(asinθ)2; = (acosθ)2[cos2Φ+sin2Φ]+ (asinθ)2; =a2[cos2θ+sin2θ]=a2
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