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SSC Quiz : Quantitative Aptitude | 28- 10 - 19

Mahendra Guru
SSC Quiz : Quantitative Aptitude | 28- 10 - 19

In SSC exam, quantitative Aptitude section is more scoring and easy, if you know the shorts tricks and formulas of all the topics. So, it is important to know the basic concepts of all the topics so you can apply the short tricks and solve the question with the new concepts in lesser time while giving the quiz. It will help you to score more marks from this section in less time period. Quantitative Aptitude section basically measures your mathematical and calculation approach of solving the question. SSC Quiz of quantitative Aptitude section helps you to analyse your preparation level for the upcoming SSC examination. Mahendra Guru provides you Quantitative Aptitude Quiz for SSC examination based on the latest pattern so that you can practice on regular basis. It will definitely help you to score good marks in the exam. It is the most important section for all the govt exams like Insurance, SSC-MTS, SSC CPO, CGL, CHSL, State Level, and other Competitive exams.
So, here we will provide you a set of 10 questions of Quantitative Aptitude, important for SSC  exam.
Q. 1. If x = maths-ssc-quiz-28-10-19+ 2 then find the value ofmaths-ssc-quiz-28-10-19

(A) 5
(B) 8
(C) 0.625
(D) 0.785
Q. 1. यदि x = maths-ssc-quiz-28-10-19+ 2 तो maths-ssc-quiz-28-10-19का मान ज्ञात कीजिये । (A) 5
(B) 8
(C) 0.625
(D) 0.785


Q. 2. Two circles having radii 'a' units intersect each other in such a way that each of them passes through the centre of the other. Then find the length of their common chord. 


(A) maths-ssc-quiz-28-10-19 units
(B)  a units
(C) maths-ssc-quiz-28-10-19 units
(D) maths-ssc-quiz-28-10-19units 


Q. 2. दो वृत्तों जिनकी त्रिज्याएँ 'a' मात्रक हैं, एक दूसरे को इस तरह से प्रतिच्छेदित करते हैं कि उनमें से प्रत्येक दूसरे के केंद्र से होकर जाता है। तो उनकी उभयनिष्ठ जीवा की लम्बाई ज्ञात कीजिये। 


(A) maths-ssc-quiz-28-10-19 मात्रक
(B)  a मात्रक
(C) maths-ssc-quiz-28-10-19 मात्रक
(D) maths-ssc-quiz-28-10-19 मात्रक 


Q. 3. If x variable takes discrete values x + 4, x – 3.5, x – 2.5, x – 3, x – 2, x + 0.5, x + 5 and x – 0.5 where x > 0, then the median of the data set is:


(A) x – 2.5
(B) x – 1.25
(C) x – 1.5
(D) x – 0.75


Q. 3. यदि एक चर x असतत मान x + 4, x – 3.5, x – 2.5, x – 3, x – 2, x + 0.5, x + 5 और x – 0.5 ग्रहण करता है जहां x > 0, तो आंकड़ों के सेट की माध्यिका है:


(A) x – 2.5
(B) x – 1.25
(C) x – 1.5
(D) x – 0.75


Q. 4. The diagonal of a rectangular field is 50 m and one of the sides is 40 m. If the cost of cutting the grass of the field is Rs. 27 per square metre then the total cost of cutting all grass of the rectangular field is


(A) Rs.8420
(B) Rs.32400
(C) Rs.34200
(D) Rs.43200


Q. 4. The diagonal of a rectangular field is 50 m and one of the sides is 40 m. If the cost of cutting the grass of the field is Rs. 27 per square metre then the total cost of cutting all grass of the rectangular field is


एक आयताकार क्षेत्र का विकर्ण 50 मीटर और भुजाओं में से एक 40 मीटर है। यदि खेत की घास काटने की लागत रु. 27 प्रति वर्ग मीटर तो आयताकार क्षेत्र की पूरी घास काटने की कुल लागत है


(A) रु.8420
(B) रु.32400
(C) रु.34200
(D) रु.43200


Q. 5. In the figure given below, AB is parallel to CD. maths-ssc-quiz-28-10-19ABC = 65o, maths-ssc-quiz-28-10-19CDE = 15o and AB = AE. What is the value of maths-ssc-quiz-28-10-19AEF? \
maths-ssc-quiz-28-10-19
(A) 30o
(B) 35o
(C) 40o
(D) 45o 


Q. 5. नीचे दिये गए चित्र में, AB, CD के समान्तर है । maths-ssc-quiz-28-10-19ABC = 65o, maths-ssc-quiz-28-10-19CDE = 15o और AB = AE. maths-ssc-quiz-28-10-19AEF का मान क्या है? maths-ssc-quiz-28-10-19
(A) 30o
(B) 35o
(C) 40o
(D) 45o
Q. 6. If maths-ssc-quiz-28-10-19, find the value of maths-ssc-quiz-28-10-19. (A) maths-ssc-quiz-28-10-19
(B) maths-ssc-quiz-28-10-19
(C) maths-ssc-quiz-28-10-19
(D) maths-ssc-quiz-28-10-19
Q. 6. यदि maths-ssc-quiz-28-10-19तो maths-ssc-quiz-28-10-19का मान ज्ञात कीजिये | (A) maths-ssc-quiz-28-10-19
(B) maths-ssc-quiz-28-10-19
(C) maths-ssc-quiz-28-10-19
(D) maths-ssc-quiz-28-10-19 


Q. 7. If a certain number of two digits is divided by the sum of its digits, the quotient is 6 and the remainder is 3 and reverse of this number divided by the sum of the digits, the quotient is 4 and the remainder is 9. The difference of the digits of the number is-


(A) 4
(B) 3
(C) 2
(D) 5


Q. 7. एक द्विअंकीय संख्या को जब इसके अंकों के योग से विभाजित किया जाता है, भागफल 6 है और शेषफल 3 है एवं अंकों को आपस में बदल दिया जाय तथा परिणामी संख्या को इसके अंकों के योग से विभाजित किया जाय तो भागफल 4 और शेषफल 9 आता है। संख्या के अंकों का अन्तर है-


(A) 4
(B) 3
(C) 2
(D) 5


Q. 8. A sum on compound interest amounts to Rs.77440 in 2 years and Rs.85184 in 3 years. Find the sum.


(A) Rs.64000
(B) Rs.68000
(C) Rs.72000
(D) Rs.68400


Q. 8. एक धनराशि चक्रवृद्धि ब्याज पर 2 वर्ष में रू.77440 हो जाती है और 3 वर्षो में रू. 85184 हो जाती है। धनराशि ज्ञात कीजिए । 


(A) रु.64000
(B) रु.68000
(C) रु.72000
(D) रु.68400


Q. 9. A train passes two bridges of length 400 m and 200 m in 50 seconds and 30 seconds respectively. The length of the train is


(A) 40 m.
(B) 45 m.
(C) 75 m.
(D) 100 m.


Q. 9. एक ट्रेन दो पुलों जिनकी लम्बाईयाँ 400 मी. और 200 मी. हैं. को 50 से. और 30 से. में पार करती हैं | ट्रेन की लम्बाई है


(A) 40 मी.
(B) 45 मी.
(C) 75 मी.
(D) 100 मी. 


Q. 10. If maths-ssc-quiz-28-10-19th part of a journey takes 20 minutes, then to complete maths-ssc-quiz-28-10-19th of that journey, it will take


(A) 80 minutes
(B) 90 minutes
(C) 96 minutes
(D) 72 minutes
Q. 10. यदि एक यात्रा का maths-ssc-quiz-28-10-19भाग तय करने में 20 मिनट का समय लिया जाता है, तो यात्रा का maths-ssc-quiz-28-10-19भाग तय करने में कितना समय लगेगा?


(A) 80 मिनट
(B) 90 मिनट
(C) 96 मिनट
(D) 72 मिनट



Answers: 

1. Sol. (A)

http://onlinespeedtest.mahendras.org/Images/148647072526988.jpg
http://onlinespeedtest.mahendras.org/Images/148647148521426.jpg
2. Sol. (D)
http://onlinespeedtest.mahendras.org/Images/148664230838169.jpg
OC = OD = (a/2) units
AC = a units
In ΔAOC,
maths-ssc-quiz-28-10-19
maths-ssc-quiz-28-10-19
AB = 2 × OA = 2 × maths-ssc-quiz-28-10-19
= maths-ssc-quiz-28-10-19

3. Sol. (B)
Arranging the values in ascending order, we get
x – 3.5, x – 3, x – 2.5, x – 2, x – 0.5, x + 0.5, x + 4, x + 5
Median = ½ (x – 2 + x – 0.5)
= x – 1.25

4. Sol. (B)
B2 + 402 = 502
B2 + 1600 = 2500
B2 = 900
B = 30
Total cost = Rs. (30 × 40 × 27) = Rs. 32400

5. Sol. (B)
maths-ssc-quiz-28-10-19ABC = maths-ssc-quiz-28-10-19AEB = 65o (Angles opposite to equal sides)
maths-ssc-quiz-28-10-19DCE = maths-ssc-quiz-28-10-19ABC = 65o (Alternate angles as AB || CD)
maths-ssc-quiz-28-10-19CDE = 15o
In D CDE,
 maths-ssc-quiz-28-10-19CED = 180o – 15o – 65o = 100o
maths-ssc-quiz-28-10-19AEF = 100o – 65o = 35o

6. Sol. (C)
http://onlinespeedtest.mahendras.org/Images/14857722783299.jpg
6x2 + 1= 15x
http://onlinespeedtest.mahendras.org/Images/148577231193833.jpg

7. Sol. (C)
Let number be 10x + y.
First case:
10x + y = 6(x + y) + 3
10x + y = 6x + 6y + 3
4x – 5y = 3 ...(I)
Second case:
10y + x = 4(x + y) + 9
10y + x = 4x + 4y + 9
6y - 3x = 9
2y – x = 3 ...(II)
On solving above two equations, we get
x = 7, y = 5
Required difference = 7 – 5 = 2

8. Sol. (A)
Interest on Rs 77440 in 1 years
= 85184 – 77440 = 7744
Rate = maths-ssc-quiz-28-10-19=10% p.a.
Let the sum be Rs x, then
x × maths-ssc-quiz-28-10-19=77440
x = 77440 × maths-ssc-quiz-28-10-19= Rs. 64000

9. Sol. (D)
Let the length of the train be x m.
According to the question,
http://onlinespeedtest.mahendras.org/Images/148578903987021.jpg

10. Sol. (C)
http://onlinespeedtest.mahendras.org/Images/148579303145684.jpg
Time taken in completing (1/8) part = 20 minutes
Time taken in completing (3/5) part = 20 × (3/5) × 8
= 96 minutes

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