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Thursday, 26 July 2018

SSC CPO : Quantitative Aptitude Quiz | 26- 07 - 18

Mahendra Guru : Online Videos For Govt. Exams
SSC CPO : Quantitative Aptitude Quiz | 26- 07 - 18
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 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.

Mahendra Guru also provides you important notes and study material for all subject and test through its website, Mahendra Guru App and YouTube channel apart from it Speed Test Portal. Most of these preparation products are also available for purchase on my shop. You can also visit Mahendras.org to get more information about our endeavour for your success. You can also study in details through our E-Mahendras Facebook and Mahendra Guru YouTube channel of Quantitative Aptitude.

Q.1. A phone is sold for Rs. 860 at a loss of 20% for how much should it be sold gain 10%?

एक फोन 860 रूपए में बेचने पर 20% की हानि होती है उस 10% लाभ कमाने के लिए उसे कितने में बेचना चाहिए?
(A) Rs.1182.5
(B) Rs.1168.5
(C) Rs.1092.5
(D) Rs.1220.5

Q.2. 20 buckets of water fill a tank when the capacity of each bucket is 14.5 litres. How many buckets will be required to fill the same tank if the capacity of each bucket is 10 litres?

पानी की 20 बाल्टियां एक टंकी को भर देती हैं, जबकि प्रत्येक बाल्टी की धारिता 14.5 लीटर है यदि प्रत्येक बाल्टी की धारिता 10 लीटर हो तो टंकी को भरने के लिए कितनी बाल्टियों की आवश्यकता होगी?
(A) 31
(B) 29
(C) 32
(D) 30

Q.3. A man can row with the stream at 9 km/hr. and against the stream at 3 km/hr. His speed in still water is -

एक व्यक्ति की धारा के अनुकूल चाल 9 किमी/घं. है और धारा के प्रतिकूल चाल 3 किमी/घं. है स्थिर पानी में उसकी चाल क्या है?
(A) 12 km/hr./किमी/घं. 
(B) 5 km/hr./किमी/घं. 
(C) 10 km/hr./किमी/घं. 
(D) 6 km/hr./किमी/घं. 

Q.4. The average age of x and y is 18 years. If z is equal to 9 years the average of x, y and z is -

x और y की औसत आयु 18 वर्ष है और z की 9 वर्ष है तो x, y और z की औसत आयु है-
(A) 24 years/वर्ष 
(B) 15 years/वर्ष 
(C) 18 years/वर्ष 
(D) 20 years/वर्ष 

Q.5. In a circle PA and PB are tangents such that PA = 5 cm and APB = 600, then the length of chord AB

एक वृत्त में PA और PB स्पर्श रेखाएं इस प्रकार हैं कि PA = 5 सेमी और ∠APB = 600, तो जीवा AB की लम्बाई है-
(A)
(B)
(C) 5
(D) 7.5 

Q.6. If three circles with centers A, B, C respectively touches each other externally. If AB = 5cm, BC = 7 cm and CA = 6 cm, then the radius of the circle with center A is-

यदि तीन वृत्त जिनके केंद्र क्रमशः A, B, C हैं एक दूसरे को बाह्यतः स्पर्श करते हैं यदि AB = 5 सेमी. BC = 7 सेमी और CA = 6 सेमी तो केंद्र A वाले वृत्त की त्रिज्या है-
(A) 2 cm./सेमी. 
(B) 4 cm./सेमी. 
(C) 3 cm./सेमी. 
(D) 1 cm. /सेमी. 

Q.7. If (cosecθ – sinθ) = a3 and (secθ – cosθ) = b3 then a2 b2 (a2 + b2 )=?
       यदि (cosecθ – sinθ) = a3 और (secθ – cosθ) = b3 तो a2 b2 (a2 + b2 )=?
(A) 1
(B) – 1 
(C) 0
(D) cosq + sinq 

Q.8. If sinq + cosq = sinq (90 - q) then cotq = ?

यदि sinq + cosq = sinq (90 - q) तो cotq = ?
(A) – 1 
(B)
(C) + 1 
(D) 1 –

Q.9. AB is a chord to a circle and ∠PAT is the tangent to the circle at A. If ∠BAT = 75o and ∠BAC= 45o, C being a point on the circle then, ∠ABC is equal to-

AB एक वृत्त की जीवा है और ∠PAT वृत्त की A पर स्पर्श रेखा है यदि ∠BAT =75और ∠BAC= 45o, C वृत्त पर एक बिंदु है तो ∠ABC है -
(A) 75o
(B) 45o
(C) 60o
(D) 120o

Q.10. D is any point on side AC of triangle ABC if P,Q,X,Y are the mid-points of AB,BC,AD and DC respectively, then the ratio of PX and QY is -

त्रिभुज ABC की भुजा AC पर कोई बिंदु D है यदि P,Q,X,Y क्रमशः AB,BC,AD और DC के मध्यबिंदु हैं तो PX और QY का अनुपात है-
(A) 1: 1
(B) 2: 1
(C) 1: 2
(D) 2: 3

ANSWER KEY:
Q1. (A) Required selling price/अभीष्ट विक्रय मूल्य = = 1182.5

Q2. (B) Required number of buckets/अभीष्ट बाल्टियों की संख्या = = 29

Q3. (D) Speed of the man in still water/व्यक्ति की स्थिर पानी में चाल = (9 + 3) = 6 km/hr./किमी/घं.

Q4. (B) x + y = 36 and/और z = 9
= 15 

Q5. (C) 
AP = BP = 5 cm. /सेमी.
PAB = PBA
PAB + PBA + APB = 180o
PAB =
PAB = 600
APB is equilateral triangle/APB समबाहु त्रिभुज है ।
AB = 5 cm. /सेमी. 

Q6. (A) 
Let the radius of the three circles be x, y, z/माना तीनों वृत्तों की त्रिज्याएँ x, y, z है ।
x + y = 5, z + y = 7, x + z = 6
x + y + z = 9, 
x = 9 – 7, x = 2 cm./सेमी. 

Q7. (A) a3 =
a =
b3 =
b =
a2b2 (a2+b2) = a4b2 + a2b4
= a3(ab2) + (a2b)b3
=
=
=
= 1 

Q8. (C) sinq + cosq = sinq (90 –?)
sinq + cosq = cosq
1 + cotq = cotq
cotq ( – 1) = 1
cotq =
cotq =
cotq =

Q9. (C) 
∠BAT = ∠ACB (by theorem/प्रमेय से) 
∠ABC = 180o– 75o – 45o600

Q10. (A) 
In ABD/ABD में,
P and X is the mid - point of AB and AD respectively/ P और X क्रमशः AB और CD के मध्य बिंदु हैं ।
PX = _________ (I)
similarly/इसी प्रकार,
In CBD/CBD में,
QY = _________ (II)
From (I) and (II)/ (I) और (II) से,
PX = QU
= 1:1

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