SSC GD & MTS Quiz : Quantitative Aptitude | 22-11-2021

Dear Readers,

As SSC GD & MTS notification is out and candidates have started their preparation for this exam. Mahendras also has started special quizzes for this examination. This series of quizzes are based on the latest pattern of the SSC GD & MTS examination. Regular practice of the questions included in the quizzes will boost up your preparations and it will be very helpful in scoring good marks in the examination.

(1) is equal to –

के बराबर है -

(A) 2 cos θ

(B) 2 sec θ

(C) 2 tan θ

(D) 2 cot θ

(2) If a: b = 4: 5 and a: c = 3: 4, then find b: c.

यदि a: b = 4: 5 और a: c = 3: 4 हैं, तो b: c ज्ञात कीजिये ।

(A) 15: 16

(B) 3: 5

(C) 5: 4

(D) 13: 14

(3) LCM and HCF of two numbers are 120 and 3 respectively. One of these numbers is 24. What is the second number?

दो संख्याओं का ल.स. और म.स. क्रमशः 120 और 3 हैं । इन संख्याओं में से एक संख्या 24 है । दूसरी संख्या क्या है?

(A) 30

(B) 15

(C) 20

(D) 60

(4) A, B, C and D are points on the circle with center O. The radius AC and BD on E intersect each other inside the circle. The lines AB and CD is drawn. BAE = 37^o and ACD = 83^o. What is the value of BEC?

A, B, C और D केंद्र O के साथ वृत्त पर बिंदु हैं । E पर त्रिज्या AC और BD वृत्त के अन्दर एक दूसरे को परस्पर काटती है । AB और CD रेखा खींची जाती है । BAE = 37^o और ACD = 83^o है । BEC का मान क्या है?

(A) 120o

(B) 140o

(C) 130o

(D) 110o

(5) If a – = 7, then what is the value of?

यदि a – = 7 है, तो का मान क्या है?

(A) 322

(B) 364

(C) 357

(D) 343

(6) Any sum invested for 3.5 years at 12% annual interest, at maturity becomes Rs. 994. What was the original amount invested?

12% वार्षिक ब्याज पर 3.5 वर्ष के लिए निवेश की गयी कोई धनराशि, परिपक्वता पर रु. 994 हो जाती है । निवेश की गयी मूल धनराशि कितनी थी?

(A) Rs. 700

(B) Rs. 750

(C) Rs. 725

(D) Rs. 720

(7) The length and width of a rectangular piece of ground are 80 m and 36 m respectively. A pit 40 m long, 18 m. wide and 12 m. deep was dug in one corner of this ground. The soil extracted from the pit was evenly spread over the remaining ground. How much did it increase the height of the land?

जमीन के एक आयताकार टुकड़े की लम्बाई और चौड़ाई क्रमशः 80 मी. और 36 मी. है । इस जमीन के एक कोने में 40 मी. लंबा, 18 मी. चौड़ा और 12 मी. गहरा एक गड्ढा खोदा गया । गड्ढे से निकाली गयी मिट्टी को बची हुई जमीन पर समान रूप से फैला दिया गया । इससे जमीन की ऊँचाई में कितनी वृद्धि हुई?

(A) 2 m.

(B) 3 m.

(C) 4 m.

(D) 5 m.

(8) P, Q and R started a business with their investment in the ratio of 1: 3: 5. After 4 months, P invested the same amount as before and Q as well as R withdrew half of their investments. The ratio of their respective profits at the end of the year was:

P, Q और R अपने व्यापार की शुरूआत में पूंजी 1: 3: 5 के अनुपात में लगाते हैं। 4 माह बाद, P पहले के समान राशि निवेश करता है और Q के साथ ही साथ R अपने निवेशों का आधा निकाल लेते हैं। उनके लाभों का क्रमशः अनुपात वर्ष के अन्त में था-

(A) 5: 6: 10

(B) 6: 5: 10

(C) 10: 5: 6

(D) 4: 3: 5

(9) The compound interest on a certain sum of money at a certain rate per annum for two years is 4100 and the simple interest on the same rate for 3 years is Rs. 6000. Then the sum of money is-

एक निश्चित धनराशि पर दो वर्षों में एक निश्चित ब्याज की दर से चक्रवृद्धि ब्याज 4100 रू. है और उसी ब्याज दर से 3 वर्ष का साधारण ब्याज 6000 रू. है। धनराशि है-

(A) Rs. 20000

(B) Rs. 30000

(C) Rs. 40000

(D) Rs. 50000

(10) 54 ÷ 3² × 6 + 3 =?

(A) 4

(B) 39

(C) 2/3

(D) 54

Answer Key-

1-Sol. (C)

=

=

= = 2 tan θ

2-Sol. (A)

a: b = 4: 5 = 12: 15

a: c = 3: 4 = 12: 16

a: b: c = 12: 15: 16

b: c = 15: 16

3-Sol. (B)

120 × 3 = 24 × X

X = 15

4-Sol. (A)

BAE = 37^o = BDC

In DCDE,

CED = 180^o – 83^o– 37^o = 180^o – 120^o = 60o

BEC = 180^o – 60^o = 120o

5-Sol. (A)

a – = 7

343 = – 3 × 7

= 343 – 21 = 322

6-Sol. (A)

(994 – P) × 100 = P × 3.5 × 12

994000 – 1000P = 420P

1420P = 994000

P = Rs. 700

7-Sol. (C)

Area of the rectangular field = 80 × 36 = 2880 m.2

Volume of the pit = 40 × 18 × 12 = 8640 m.3

Area of the remaining field = 2880 – (40 × 18) = 2880 – 720 = 2160 m.2

According to the question,

2160 × x = 8640

x = 4 m.

8-Sol. (A)

Required ratio = (1 × 4 + 2 × 8): :

= 20: 24: 40 = 5: 6: 10

9-Sol. (C)

Simple interest for 1 year = 6000 ÷ 3 = 2000

Compound interest for first year = 2000

Compound interest for second year = 2100

According to the question,

100 =

R = = 5%

P = = 40000

10-Sol. (B)

54 ÷ 3² × 6 + 3 =?

54 ÷ 9 × 6 + 3 =?

6 × 6 + 3 =?

? = 39