SSC CHSL Quiz : Quantitative Aptitude

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Q.1) If the side of an equilateral triangle is cm. and inradius of the same triangle is x cm. Find the value of x.

यदि समबाहु त्रिभुज की भुजा का मान सेमी. है और इसकी अंतःत्रिज्या का मान x सेमी. है, तो x का मान ज्ञात कीजिए?

(A) 1

(B) 2

(D) 10

Q.2) In an isosceles Δ ABC, AB=AC = 15 cm and the height of triangle is 12 cm. Find the length of base (in cm.) of the triangle?

एक समद्धिबाहु Δ ABC, AB=AC = 15 सेमी. है, यदि त्रिभुज की ऊँचाई 12 सेमी. है, तो इसके आधार की लंबाई (सेमी) में ज्ञात कीजिए?

(A) 9

(B) 18

(C) 16

(D) 8

Q.3) If tan7θ.tan3 θ = 1. Then find the value of tan (θ+36^o).

यदि tan7θ.tan3θ = 1तो tan (θ+36^o) का मान ज्ञात कीजिए?

(A)0

(B)1

(C)

(D)

Q.4) If secθ + cosθ=3 then find the value of tan2θ – sin2θ =?

यदि secθ + cosθ=3 तो tan2θ – sin2 का मान ज्ञात कीजिए?

(A) 3

(B) 4

(D)11

Q.5) If the income of a person is 25% more than the income of another person then how much percent the income of another person is less than the income of first person?

यदि एक व्यक्ति की आय दूसरे व्यक्ति की आय से 25% अधिक है, तो दूसरे व्यक्ति की आय पहले व्यक्ति की आय से कितने प्रतिशत कम है?

(A)   10%

(B)   16.66%

(C)   20%

(D)   25%

Q.6) From a point on circular track 5 km long A,B,C. Started running in the same direction at the same time with the speeds of 2.5 km/h, 3km/h and 2 km/h respectively. Then on the starting point all three will meet again after-

एक वृत्ताकार मार्ग के एक बिन्दु से A, B और C 5 किमी. की दूरी में समान दिशा तथा समान समय में क्रमशः 2.5 किमी./घण्टा, 3 किमी./घण्टा और 2 किमी./घण्टा की चाल से चलना शुरू करते हैं, तो प्रारंभिक बिन्दु पर कितने समय बाद तीनों मिल जायेंगे?

(A) 30 hour

(B) 6 hour

(C) 10 hour

(D) 20 hour

Q.7) The selling price of article is Rs. 450 what was the marked price of an article if it is sold at a discount of 16?

एक वस्तु को 16

की छूट देने के बाद 450 रू. में बेचा जाता है तो वस्तु का अंकित मूल्य ज्ञात कीजिए?

(A) 520

(B) 540

(C) 550

(D) 560

Q.8) A man purchased two types of egg one 3 dozen egg at the rate of Rs. 32 per dozen and another 5 dozzen egg at the rate of Rs. 40 per dozen. He mixed them at what price (in Rs.) per dozen should he sell the all egg to make a profit of 20% in the transaction?

एक आदमी दो प्रकार के, एक 32 रू. प्रति दर्जन की दर से 3 दर्जन एवं अन्य 40 रू. प्रति दर्जन की दर से 5 दर्जन अण्डे खरीदता है एवं दोनों को मिला देता है, वह सभी अण्डों को कितने रूपये प्रति दर्जन की दर से बेचे कि उसे 20% लाभ हो?

(A) 355.2

(B) 350

(D) 44.4

Q.9) The average marks obtained by 20 students was calculated to 35. Further it was found that the marks of one students was wrongly read as 45 instead of 85. The correct average is-

एक कक्षा में 20 विद्यार्थियों का औसत अंक 35 ज्ञात किया जाता है लेकिन बाद में यह पाया जाता है कि एक बच्चे के अंक 85 के स्थान पर 45 पढ़ लिया जाता है, तो सही औसत है-

(A) 37

(B) 33

(D) 37.5

Q.10) Rs. 770 is to be divided among A, B and C in such a way that A gets 2/9 of B and C together get. Find A's share.

रू. 770 को A, B और C में इस प्रकार विभाजित किया जाता है, कि A को B एवं C के कुल भाग का 2/9 भाग मिलता है, तो । का भाग ज्ञात कीजिए।

(A) 1400

(B) 140

(D) 300

ANSWERS :

Q.1) (A)

X =

=1

Q.2) (B)
SSC CHSL Quiz : Quantitative Aptitude | 14 - 03 - 18

Q.3) (B)

We know that
tan7q.tan3 q= 1
tan7q = cot3q
tan7q = tan(90–3q)
7q = 90–3q
10q = 90
q=9o
So, tan(q +36^o) = tan(9+36)=tan45^o= 1.

(A) .16.66%
(B) 20%
(C) 25%
(D) 33.2%

Q.4) (C)

secq + cosq = 3
Squaring both side
(secq + cosq)2 = (3)2
sec2q + cos2q + 2 =9. Þsec2q + cos2q = 7
tan2q -sin2q = (sec2q - 1) - (1-cos2q)
sec2q –1 – 1+ cos2q
= 7 – 2 = 5

Q.5)(C)

SSC CHSL Quiz : Quantitative Aptitude | 14 - 03 - 18