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SSC MTS Quiz : Quantitative Aptitude | 07- 09 - 19

Mahendra Guru
SSC MTS Quiz : Quantitative Aptitude | 07- 09 - 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 MTS exam.


Q. 1. If p + q + r = 14 and p2 + q2 + r2 = 96, then (pq + qr + rp) = ?

рдпрджि p + q + r = 14 рдФрд░ p2 + q2 + r2 = 96, рддो (pq + qr + rp) = ?


(A) 51
(B) 55
(C) 50
(D) 65


Q. 2. In the given figure, A, B, C and D are concyclic points. Find the value of x. 


рджिрдпे рдЧрдП рдЪिрдд्рд░ рдоें, A, B, C рдФрд░ D рдЪрдХ्рд░ीрдп рдмिрди्рджु рд╣ैं । x рдХा рдоाрди рдЬ्рдЮाрдд рдХीрдЬिрдпे ।


ssc-maths-quiz-07-09-19
(A) 50o
(B) 60o
(C) 70o
(D) 80o


Q. 3. In an asymmetrical distribution, if the mean and median of the distribution are 34.4 and 35.3 respectively, then the mode is 


рдПрдХ рд╡िрд╖рдо рд╡िрддрд░рдг рдоें, рдпрджि рд╡िрддрд░рдг рдХा рдоाрдз्рдп рдФрд░ рдоाрдз्рдпिрдХा рдХ्рд░рдорд╢ः 34.4 рдФрд░ 35.3 рд╣ै, рддो рдмрд╣ुрд▓рдХ рд╣ै


(A) 35.7
(B) 35.1
(C) 34.1
(D) 37.1


Q. 4. The radius of a sphere is 6 cm. It is melted down and drawn into a wire of radius 0.2 cm. The length of the wire is 


рдПрдХ рдЧोрд▓े рдХी рдд्рд░िрдЬ्рдпा 6 рд╕ेрдоी рд╣ै। рдЗрд╕े рдкिрдШрд▓ाрдХрд░ 0.2 рд╕ेрдоी рдд्рд░िрдЬ्рдпा рдХे рддाрд░ рдоें рдкрд░िрд╡рд░्рддिрдд рдЬाрддा рд╣ै। рддाрд░ рдХी рд▓ंрдмाрдИ рд╣ै


(A) 81 m. /рдоी.
(B) 80 m. /рдоी.
(C) 75 m. /рдоी.
(D) 72 m. /рдоी.


Q. 5. A line of the form y – b = 0 is


y – b = 0 рдк्рд░рдХाрд░ рдХी рд░ेрдЦा рд╣ै 


(A) Parallel to y – axis at a distance of b units left of the origin/ y – рдЕрдХ्рд╖ рдХे рд╕рдоाрдиांрддрд░ b рдЗрдХाрдИ рдХी рджूрд░ी рдкрд░ рдоूрд▓ рдмिрди्рджु рдХे рдмाрдИं рдУрд░
(B) Parallel to y – axis at a distance of b units right of the origin/ y – рдЕрдХ्рд╖ рдХे рд╕рдоाрдиांрддрд░ b рдЗрдХाрдИ рдХी рджूрд░ी рдкрд░ рдоूрд▓ рдмिрди्рджु рдХे рджाрдИं рдУрд░
(C) Parallel to x – axis at a distance of b units below of the origin/x – рдЕрдХ्рд╖ рдХे рд╕рдоाрдиांрддрд░ b рдЗрдХाрдИ рдХी рджूрд░ी рдкрд░ рдоूрд▓ рдмिрди्рджु рд╕े рдиीрдЪे
(D) Parallel to x – axis at a distance of b units above of the origin/ x – рдЕрдХ्рд╖ рдХे рд╕рдоाрдиांрддрд░ b рдЗрдХाрдИ рдХी рджूрд░ी рдкрд░ рдоूрд▓ рдмिрди्рджु рд╕े рдКрдкрд░


Q. 6. If ssc-maths-quiz-07-09-19, then the value of ssc-maths-quiz-07-09-19 


рдпрджि ssc-maths-quiz-07-09-19, рддो ssc-maths-quiz-07-09-19рдХा рдоाрди рд╣ै 


(A) ssc-maths-quiz-07-09-19
(B) ssc-maths-quiz-07-09-19
(C) ssc-maths-quiz-07-09-19
(D) ssc-maths-quiz-07-09-19 


Q. 7. Two containers of equal capacity are full of mixture of milk and water. In the first, the ratio of milk to water is 4: 7 and in the second, it is 7: 11. Now, both the mixtures are mixed in a bigger container. What is the resulting ratio of milk and water?


рд╕рдоाрди рдХ्рд╖рдорддा рдХे рджो рдХंрдЯेрдирд░ рджूрдз рдФрд░ рдкाрдиी рдХे рдоिрд╢्рд░рдг рд╕े рднрд░े рд╣ुрдП рд╣ैं। рдкрд╣рд▓े рдоें, рджूрдз рдФрд░ рдкाрдиी рдХा рдЕрдиुрдкाрдд 4: 7 рд╣ै рдФрд░ рджूрд╕рд░े рдоें, 7: 11 рд╣ै। рдЕрдм, рджोрдиों рдоिрд╢्рд░рдг рдПрдХ рдмрдб़े рдХंрдЯेрдирд░ рдоें рдоिрд▓ाрдП рдЧрдП рд╣ैं। рджूрдз рдФрд░ рдкाрдиी рдХा рдкрд░िрдгाрдорд╕्рд╡рд░ूрдк рдЕрдиुрдкाрдд рдХ्рдпा рд╣ै?


(A) 149: 247
(B) 247: 149
(C) 143: 241
(D) 241: 143


Q. 8. If ssc-maths-quiz-07-09-19(a > 0), then the value of ssc-maths-quiz-07-09-19is


рдпрджि ssc-maths-quiz-07-09-19(a > 0), рддो ssc-maths-quiz-07-09-19рдХा рдоाрди рд╣ै 


(A) 29
(B) 5
(C) 27
(D) 25


Q. 9. What is the sum of the dimensions (length, breadth and height respectively) of a cuboid with volume 720 cu cm, surface area 484 sq. cm and the area of the base 72 sq. cm?


рдПрдХ рдШрдиाрдн рдХे рдЖрдпाрдо (рд▓ंрдмाрдИ, рдЪौрдб़ाрдИ рдФрд░ рдКंрдЪाрдИ) рдХा рдпोрдЧ рдХ्рдпा рд╣ै рдЬिрд╕рдХा рдЖрдпрддрди 720 рдШрди рд╕ेрдоी, рдкृрд╖्рда рдХ्рд╖ेрдд्рд░рдлрд▓ 484 рд╡рд░्рдЧ рд╕ेрдоी рдФрд░ рдЖрдзाрд░ рдХा рдХ्рд╖ेрдд्рд░рдлрд▓ 72 рд╡рд░्рдЧ рд╕ेрдоी рд╣ै?


(A) 27 cm. / рд╕ेрдоी
(B) 28 cm. / рд╕ेрдоी
(C) 32 cm. / рд╕ेрдоी
(D) 44 cm. / рд╕ेрдоी


Q. 10. If nP3 = 9240, then find the value of n.


рдпрджि nP3 = 9240, рддो n рдХा рдоाрди рдЬ्рдЮाрдд рдХीрдЬिрдпे ।


(A) 20
(B) 21
(C) 22
(D) 23


Answers:


1. Sol. (C)
(p + q + r)2 = p2 + q2 + r2 + 2 (pq + qr + rp)
196 = 96 + 2 (pq + qr + rp)
2 (pq + qr + rp) = 100
(pq + qr + rp) = 50


2. Sol. (A)
Angle/рдХोрдг ADC = 130o (Interior opposite angle/рд╕рдо्рдоुрдЦ рдЖрди्рддрд░िрдХ рдХोрдг)
x + 130o – 180o
x = 180o – 130o
x = 50o


3. Sol. (D)
Mode/рдмрд╣ुрд▓рдХ = 3 × 35.3 – 2 × 34.4
= 105.9 – 68.8
= 37.1


4. Sol. (D)
ssc-maths-quiz-07-09-19
H = 7200 cm. /рд╕ेрдоी.
H = 72 m. /рдоी.


5. Sol. (D)
Parallel to x – axis at a distance of b units above of the origin/ x – рдЕрдХ्рд╖ рдХे рд╕рдоाрдиांрддрд░ b рдЗрдХाрдИ рдХी рджूрд░ी рдкрд░ рдоूрд▓ рдмिрди्рджु рд╕े рдКрдкрд░


6. Sol. (B)
ssc-maths-quiz-07-09-19
4 cos q – 2 sin q = 2 cos q + sin q
 2 cos q = 3 sin q
cot q = ssc-maths-quiz-07-09-19
ssc-maths-quiz-07-09-19= cot q
= ssc-maths-quiz-07-09-19 


7. Sol. (A)
Required ratio/рдЕрднीрд╖्рдЯ рдЕрдиुрдкाрдд = ssc-maths-quiz-07-09-19
= 149: 247


8. Sol. (C)
ssc-maths-quiz-07-09-19
a2 – 5a – 1 = 0
ssc-maths-quiz-07-09-19
52 = ssc-maths-quiz-07-09-19– 2  
ssc-maths-quiz-07-09-19= 27             

    
9. Sol. (A)
According to the question/рдк्рд░рд╢्рдиाрдиुрд╕ाрд░,
l b h = 720 … (I)
lb + bh + hl = 242 … (II)
lb = 72 … (III)
From (I), (II) and (III), we get/ (I), (II) рдФрд░ (III) рд╕े, рд╣рдо рдк्рд░ाрдк्рдд рдХрд░рддे рд╣ैं
l + b + h = 27 cm. / рд╕ेрдоी 


10. Sol. (C)
nP3 = 9240
ssc-maths-quiz-07-09-19
n (n – 1) (n – 2) = 22 × 21 × 20
n = 22

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