SSC GD & MTS Quiz : Quantitative Aptitude | 08-01-2021

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) If the product of two numbers is 320 and their ratio is 1 : 5, what is the difference between the squares of these two numbers?

दो संख्याओं का गुणक 320 है और उनका अनुपात 1: 5 है, इन दोनों संख्याओं के वर्गों के बीच का अंतर क्या है?

(A) 1430

(B) 1536

(C) 1516

(D) None of these

(2) In an examination, there were 1500 boys and 1100 girls. 60% the boys and 50 % of girls are passed. Find the percent of the candidates of failed?

एक परीक्षा में 1500 लड़के और 1100 लड़कियाँ है 60 % लड़के और 50 % लड़कियाँ पास हो जाते है तो कितने प्रतिशत उम्मीदवार फ़ैल हुए ?

(A) 44.23 %

(B) 36.36 %

(C) 39.58 %

(D) 49.6 %

(3) Radheysyam’s salary is 20% more than that of Mohan salary. If Radheysyam saves Rs. 720 which is 4 % of his salary, then Mohan salary is?

राधे श्याम की आय मोहन की आय से 20 % अधिक है यदि राधे श्याम 720 रुपए बचाता है जो की उसकी आय का 4 % है तो मोहन की आय क्या है?

(A) रू. 15000

(B) रू. 12000

(C) रू. 10000

(D) रू. 1500

(4) A trader bought 10 kg of apples for Rs. 415 out of which 2 kg apples were found to be rotten. If he wishes to make a profit of 20% , at which rate should he sell the remaining apples per kg?

एक व्यापारी 10 किलोग्राम सेब 415 रुपए के खरीदता है जिसमें से 2 किलोग्राम सेब ख़राब हो जाते है यदि वो 20 % का लाभ कमाना चाहता है तो उसे बचे हुए सेबों को कितने रुपए किलोग्राम से बेचने चाहिए ?

(A) 50

(B) 55.33

(C) 5.53

(D) 49.50

(5) A person bought 76 cows and sold 20 cows at 15% profit, 40 cows at 19% profit and remaining 16 cows at 25% and got a profit of Rs.7300 as a whole. Find the cost price of each cow?

एक आदमी 76 गाये खरीदता है 20 गायों को वो 15 % के लाभ पर बेचता है 40 गायो को 19 % के लाभ पर और बचे हुए 16 गायो को 25 % के लाभ पर और उसे 7300 का कुल लाभ होता है तो एक गाय का क्रय मूल्य ज्ञात कीजिये ?

(A) Rs. 450

(B) Rs. 480

(C) Rs 420

(D) Rs 500

(6) The average temperature of Monday, Tuesday and Wednesday was 30^oC and that of Tuesday, Wednesday and Thursday is 33^oC. If the temperature on Monday was 32^oC, then the temperature on Thursday was?

सोमवार, मंगलवार और बुधवार के औसत तापमान था 30^o C और मंगलवार, बुधवार और गुरुवार 33^o C तो सोमवार को 32^o C तापमान था तो गुरुवार को तापमान रहा था?

(A) 33^oC

(B) 39^oC

(C) 41^oC

(D) 30^oC

(7) 600 amount to Rs. 740 in 5 years at a certain rate of simple interest. If the rate of interest is increased by 3 % . what will be the amount then ?

600 रुपए की राशि 5 वर्षो में 740 हो जाती है यदि ब्याज की दर को 3 % बढ़ाया जाता है तो अब राशि ज्ञात कीजिये।

(A) 800

(B) 856

(C) 930

(D) 830

(8) Rs. 16820 is divided between two brothers of age 27 years and 25 years. They invested their money at 5% per annum compound interest in such a way that both will receive equal money at the age of 40 years. Find the share of elder brother?

1680 रुपए को दो भाइयों के बीच में बाँटा जाता है जिनकी आयु 27 वर्ष तथा 25 वर्ष है वह 5 % के वार्षिक चक्र वृद्धि ब्याज पर अपनी राशि इस तरह लगाते है की 40 वर्ष बाद उन्हें बराबर राशि मिलती है तो बड़े भाई का हिस्सा ज्ञात कीजिये ?

(A) 8280

(B) 8820

(C) 8000

(D) 8410

(9) In a mixture of three varieties of pulses, the ratio of their weight is 4 : 5 : 8. If 5 kg of pulses of the first variety, 10 kg of the second variety and some quantity of pulses of the third variety are added to the mixture, the ratio of the weights of three varieties of pulses becomes as 5 : 7 : 9 . in the final mixture, find the quantity of third variety of pulses was: ?

तीन प्रकार की दालें जिनके भारों का अनुपात 4 : 5 : 8. यदि 5 किलोग्राम पहली प्रकार की दाल, 10 किलोग्राम की दूसरी दाल और कुछ मात्र की तीसरी दाल मिले जाती है तो भार का अनुपात 5 : 7 : 9 . हो जाता है तीसरी मिलाये गए दाल की मात्रा ज्ञात कीजिये?

(A) 42

(B) 48

(C) 40

(D) 45

(10) A person started his journey in the morning. At 11.a.m he covered 3/8 of the jouney and on the same day at 4.30 p.m. he covered 5/6 of the journey. He started his jouney at ?

एक व्यक्ति अपनी यात्रा सुबह प्रारम्भ करता है 11 बजे तक वह अपनी यात्रा का 3/8 हिस्सा तय करता है और शाम को 4.30 तक वह अपनी यात्रा का 5 /6 हिस्सा पूरा करता है तो उसने यात्रा कितने बजे प्रारम्भ की ?

(A) 6.00 a.m.

(B) 3.30 a.m.

(C) 7.00 a.m.

(D) 6.30 a.m.

Answer Key-

1-Sol-(B)

x ×5 x = 320

x2 = 64

x= 8

Req. diff. = 40² - 82

= 48 × 32 = 1536

2-Sol-(A)

Total candidates = 1500 + 1100 = 2600

Total failed candidates = 2600 – 1450 =1150

Required percentage = 1150/2600×100=44.23%

3-Sol-(A)

Let Radheysyam’s salary be x .

x=18000
Mohan’s salary is = = Rs.15000

4-Sol-(B)

selling price of 10 apples =

Remaining apples = 10-1 = 9

So the remaining apples per kg cost =498/9 =Rs 55.33

5-Sol-(D)

Let cost price of each cow is Rs. x.

According to question,

x= Rs. 500

6-Sol-(C)

Difference between temperature on Monday and Thursday = 9^oC

Temperature on Thursday = temperature on Monday + difference between temperature

7-Sol-(D)

New amount = original amount + extra interest

Extra interest due to increment of 3 % rate of interest

740+90= Rs. 830

8-Sol-(B)

Let the share of elder brother be x and the share of younger brother be y

According to question

9-Sol-(D)

Let the ratio of initial quantity be x i.e 4x ,5x ,and 8x. Let a be quantity of extra pulses.

 So according to question,

So, 4x+5=5y

5x+10=7y

8x+a=9y

On solving (i) and (ii) we get x = 5 and y = 5

So a = 45 kg

10-Sol-(D)


Clearly the person started at 6.30 a.m.