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# SSC CPO : Quantitative Aptitude Quiz | 04- 09 - 18

Mahendra Guru

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.

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Q.1. If the three sides of a triangle be 2n + 1, 2n2 + 2n + 1 and 2n(n + 1), then the triangle is

यदि एक त्रिभुज की तीनों भुजायें 2n + 1, 2n2 + 2n + 1 और 2n(n + 1) है, तो त्रिभुज है -

(A) Equilateral/समबाहु

(B) Right angled/समकोण

(C) Isosceles/समद्विबाहु

(D) Obtuse-angled/अधिक कोण

Q.2. If x = then the value of is

यदि x = तो का मान है

(A) 1

(B) 4

(C) 3

(D) 2

Q.3. If a = 3 + 2then the value of  is

यदि a = 3 + 2 तो का मान है

(A) 164

(B) 184

(C) 204

(D) 244
Q.4. If xy (x + y) = 1, then

यदि xy (x + y) = 1 है तो  का  मान है-

(A) 0

(B) 1

(C) 3

(D) – 3
Q.5. Given that a2 – 4a – 1 = 0, the value of  is

दिया है कि a2 – 4a – 1 = 0, तो  का मान है-

(A) 26

(B) 28

(C) 30

(D) 16

Q.6. If xya = (3x + y) 2 – (3x – y) 2, then the value of a is

यदि xya = (3x + y) 2 – (3x – y) 2, है तो a का मान है-

(A) 12

(B) 6

(C) 0

(D) 18

Q.7. If the simple interest on a sum of money at 5% per annum for 3 years is Rs. 1,200, the compound interest on the same sum for the same period at the same rate is

यदि किसी धनराशि पर 5 प्रतिशत प्रति वर्ष की दर से 3 वर्ष के लिये साधारण ब्याज 1200 रू. है। तो उसी धनराशि पर उसी दर से उसी समय के लिये चक्रवृद्धि ब्याज क्या है?

(A) Rs.1261

(B) Rs.1263

(C) Rs.1265

(D) Rs.1267

Q.8. A boy travels 600 km to his house partly by train and partly by car. He takes 8 hours if he travels 120 km by train and the rest by car. He takes 20 minutes more if he travels 200 km by train and rest by car. Find the respective speeds of the train and the car.

एक लड़का 600 किमी. की कुछ दूरी ट्रेन से और शेष दूरी कार से यात्रा करता है। वह 8 घण्टे का समय लेता, यदि 120 किमी. ट्रेन से और शेष कार से यात्रा करता है। वह 20 मिनट अधिक समय लेता, जब वह 200 किमी. ट्रेन से और शेष कार से यात्रा करता है। तो ट्रेन और कार की चाल क्रमशः ज्ञात कीजिए-

(A) 60, 80 km/hr./किमी./घंटा

(B) 60, 70 km/hr./किमी./घंटा

(C) 80, 70 km/hr./किमी./घंटा

(D) 80, 60 km/hr./किमी./घंटा

Q.9. If 15% of 40 is greater than 25% of a number by 4, then the number is

यदि 40 का 15%, एक संख्या के 25% से 4 अधिक है तो संख्या क्या है

(A) 8

(B) 16

(C) 24

(D) 32

Q.10. The average weight of 45 boys in a school is 50 kg. If the weight of 5 girl students is added, the average is reduced by half-a-kilogram. What is the average weight in kg of the girl students?

एक स्कूल में 45 लड़कों का औसत भार 50 किग्रा. है। यदि 5 लड़कियों का भार जोड़ दिया जाता है तो औसत में आधा किग्रा. की कमी हो जाती है। लड़कियों का औसत भार किग्रा. में ज्ञात कीजिए-

(A) 45

(B) 44.5

(C) 46.5

(D) 45.5

1. Sol. (B)
(2n2 + 2n + 1)2 = 4n4 + 4n2 + 1 + 8n3 + 4n + 4n2
= 4n4 + 8n2 + 8n3 + 4n + 1
(2n+1)2 = 4n2 + 1 + 4n
(2n2 + 2n) = 4n4 + 4n2 + 8n3
(2n2 + 2n + 1)2 = (2n + 1)2 + (2n2 + 2n) 2
Triangle is a right angled triangle/त्रिभुज एक समकोण त्रिभुज है ।

2. Sol. (D)

=
=

3. Sol. (C) a = 3 + 2

= 6

= 198 + 6 = 204

4. Sol. (C
) xy (x + y) = 1

= x3 + y3 + 3xy (x + y) – x3 – y3)
= 3 × 1 = 3

5. Sol. (C) a2- 4a - 1 = 0
a2 – 1 = 4a

= 18 + 3 × 4 = 30

6. Sol. (A) xya = (3x + y) 2 – (3x – y) 2
xya = 9x2+ y2 + 6xy – 9x2 – y2 + 6xy
xya = 12 xy
a = 12

7. Sol. (A)
P = Rs. 8000
Compound interest/चक्रवृद्धि ब्याज =
= 9261 – 8000 = Rs.1261

8. Sol. (A) Let the speed of the train be x km/hr. and speed of the car y km/hr.
माना ट्रेन की चाल x किमी./घंटा और कार की चाल y किमी./घंटा है ।
......... (I)
and/और
..... (II)
y = 80 km/hr./किमी./घंटा
x = 60 km/hr./किमी./घंटा

9. Sol. (A)

x = 8

10. Sol. (A) Let the total weight of the 5 girl/माना 5 लड़कियों का कुल भार = x
45 × 50 + x = 50 × 49.5
2250 + x = 2475
x = 225
Required average weight/अभीष्ट औसत भार = = 45