SSC CGL Mains Mix Questions : 10th July_00.1
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SSC CGL Mains Mix Questions : 10th July

Dear aspirants,

As you all know, the upcoming months are lined up with various important exams like SSC CGL Mains 2018, so we are here to help you with the subject that is common to all of the given exams. We are providing daily quantitative aptitude quizzes, practice which will help you to score good marks in this section. We aim to provide the best study material to our readers with exam level questions to help them get used to the recent pattern. Attempt this quiz and check your preparation.

Q1. Three numbers A, B and C are in the ratio of 12 : 15 : 25. If sum of these numbers is 312, ratio between the difference of B and A and the difference of C and B is-
तीन संख्या A, B और C 12: 15: 25 के अनुपात में हैं. यदि इन संख्याओं का योग 312 है, तो B और A के अंतर और C और B के अंतर के बीच का अनुपात क्या है?
(a) 3 : 7
(b) 10 : 3
(c) 3 : 10
(d) 5 :1
SSC CGL Mains Mix Questions : 10th July_50.1

Q2. Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
तीन भागीदारों ने 5: 7: 8 के अनुपात में एक व्यवसाय में लाभ साझा किया। उन्होंने क्रमशः 14 महीने, 8 महीने और 7 महीने के लिए साझेदारी की थी। उनके निवेश का अनुपात क्या था?
(a) 5 : 7 : 8
(b) 28 : 49 : 64
(c) 38 : 28 : 21
(d) None of these/इनमें से कोई नहीं
SSC CGL Mains Mix Questions : 10th July_60.1

Q3. Ratio of the fares of First, Second and Third class category of a train between two stations is 10 : 7 : 2 and the ratio of passenger travelling in these category is 4 : 9 : 17 respectively. If the fare is increased by ¼ in First class, 1/8 in Second class and decreased by 10% in Third class so that the ratio of number of passenger in the category remains same. If the new collection is received of Rs. 60590, then find the total amount received from third class category.
दो स्टेशनों के बीच ट्रेन के पहले, दूसरे और तीसरे वर्ग श्रेणी के किराये का अनुपात 10 : 7 : 2 है। इन श्रेणियों में यात्रा कर रहे यात्रियों का अनुपात क्रमशः 4 : 9 : 17 है। यदि पहले वर्ग में किराए में ¼ की वृद्धि होती है, दूसरे वर्ग में 1/8 की वृद्धि होती है और तीसरे वर्ग में 10% की कमी होती है इसी प्रकार श्रेणी में यात्री की संख्या का अनुपात समान रहता है। यदि 60590 रु. का नया संचय प्राप्त हो रहा है, तो तीसरी वर्ग श्रेणी से प्राप्त कुल राशि ज्ञात कीजिये।
(a) 13280
(b) 15400
(c) 12240
(d) 12000
Ans.(c)
Sol. Let fares of different class,
First class = 10x
Second class = 7x
Third class = 2x
Then increased fares;
First class = 10x+1/4×10x=12.5x
Second class = 7x+1/8×7x=63/8 x
third class =2x-(10×2x)/100=1.8x
Ratio of passengers = 4 : 9 : 17
Assume passengers in first class, second class and third class are 4y,9y and 17y respectively
Then total fare = 4y×12.5x+9y×63/8 x+17y×1.8x
60590=50xy+70.875xy+30.6xy
60590=151.475xy
⇒ xy=400
Amount received from third class =17y×1.8x=12240

Q4. X and Y are partners in a business. X contributed 1/3 of the capital for 9 months and Y received 2/5 of the profits. For how long was Y’s money used in the business?
X और Y एक व्यवसाय में भागीदार हैं। X ने 9 महीनों के लिए पूंजी का 1/3 योगदान दिया और Y को लाभ का 2/5 प्राप्त हुआ। व्यवसाय में Y के धन का उपयोग कब तक किया जाता है?
(a) 2 months /महीने
(b) 3 months/महीने
(c) 4 months/महीने
(d) 5 months/महीने
SSC CGL Mains Mix Questions : 10th July_70.1

Q5. The ratio of a two digit natural number to a number formed by reversing its digit is 4:7 which of the fallowing is the sum of all the numbers of all such pairs?
एक दो अंकों की प्राकृतिक संख्या का इसके अंकों को उल्टा कर के बनाई गई संख्या से अनुपात 4: 7 है. निम्न में से कौन सा ऐसे सभी युग्म की संख्याओं का योग है?
(a)120
(b)280
(c)330
(d)90
Ans.(c)
Sol. Let the number = 10x + y
(10x+y)/(10y+x)=4/7
70x + 7y = 40y + 4x
x/y=1/2
Number of all such pairs = (12, 21), (24, 42), (36, 63), (48, 84)
Sum = 12 + 21 + 24 + 42 + 36 + 63 + 48 + 84
= 330

Q6. The ratio of males and females in a village is 7 : 8 respectively and the percentage of children among males and females is 25% and 20% respectively. If the number of adult females in the village is 235200, what is the total population of village?
गांव में पुरुषों और महिलाओं का अनुपात क्रमश: 7: 8 है और पुरुषों और महिलाओं में बच्चों का प्रतिशत क्रमशः 25% और 20% है. यदि गांव में वयस्क महिलाओं की संख्या 235200 है, तो गांव की कुल आबादी कितनी है?
(a) 367500
(b) 551250
(c) 594000
(d) 376500
Ans.(b)
Sol. Total population of town =15x
(Number of males)/(Number of females)=7/8
∴ Number of males and females = 7x and 8x
Number of male children = 25% of 7x
= 25/100×7x=1.75x
Number of adult females = 8x – 1.6x = 6.4x
⇒6.4x=235200
⇒x=235200/6.4=36750
∴ Total population of town = 15×36750
=551250

Q7. A and B started a business with initial investments in the respective ratio of 18 : 7. After four months from the start of the business, A invested Rs. 2000 more and B invested Rs. 7000 more. At the end of one year, if the profit was distributed among them in the ratio of 2 : 1 respectively, what was the total initial investment with which A and B started the business?
A और B ने 18: 7 के अनुपात में प्रारंभिक निवेश के साथ एक व्यवसाय शुरू किया। व्यापार की शुरुआत से चार महीने बाद, A ने 2000 रुपये अधिक निवेश किये और B ने 7000 रूपए अधिक निवेश किये। वर्ष के अंत में, यदि लाभ क्रमशः 2: 1 के अनुपात में उनके बीच वितरित किया गया था, तो A और B ने व्यवसाय शुरू करने पर दोनों का कुल प्रारंभिक निवेश क्या था?
(a) Rs. 50000
(b) Rs. 25000
(c) Rs. 150000
(d) Rs. 75000
Ans.(a)
Sol. Let the initial investment of A and B is 18x & 7x.
According to the question.
⇒ ((18x×12)+16000)/((12x×7)+56000)=2/1
x = 2000
Total initial investment of A And B
= (18 + 7) × 2000 = Rs. 50000

Q8.What is the fourth proportional to 189, 273 and 153?
189, 273 और 153 का चौथा आनुपातिक क्या है?
(a) 117
(b) 299
(c) 221
(d) 187
Ans.(C)
Sol.
189/273=153/x ⇒x=221

Q9. Rs 11,550 has to be divided between X, Y & Z such that X gets 4/5 of what Y gets and Y gets 2/3 of what Z gets. How much more does Z get over X (in Rs)?
11,550 रुपये को X, Y & Z के बीच इस प्रकार विभाजित करना होगा, जैसे कि X को Y द्वारा प्राप्त राशि का 4/5 प्राप्त हो और Y को Z द्वारा प्राप्त राशि का 2/3 मिलता है। Z (रुपये में) को X से कितना अधिक मिलता है?
(a) 7200
(b) 1800
(c) 1139
(d) 2450
SSC CGL Mains Mix Questions : 10th July_80.1

Q10. Before a battle the ratio of tanks to planes in an army was 5 : 3. During the war 1000 tanks were destroyed and 800 planes were destroyed. The ratio of tanks to planes became 2 : 1. What is the number of tanks after the war.
एक लड़ाई से पहले एक सेना में टैंक और विमानों का अनुपात 5: 3 था. युद्ध के दौरान 1000 टैंक नष्ट हो गए थे और 800 विमान नष्ट हो गए थे. टैंकों और विमानों का अनुपात 2:1 हो गया. युद्ध के बाद टैंकों की संख्या कितनी है?
(a) 2000
(b) 1000
(c) 3000
(d) 4000
SSC CGL Mains Mix Questions : 10th July_90.1

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