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Quantitative Aptitude Quiz For SBI / RBI Main Exam | 15-04-2020

Priyanka Mahendras





Dear Readers,




Mahendras has started special quizzes for SBI / RBI Main Exam so that you can practice more and more to crack the examination. This SBI / RBI Main Exam quiz series will mold your preparations in the right direction and the regular practice of these quizzes will be really very helpful in scoring good marks in the Examination. Here we are providing you important question of Quantitative aptitude for SBI / RBI Main Exam.




Q-(1 – 5) In each of the given question below, there are two equations as I and II. You have to solve both equations and give answer-

नीचे दिए गए प्रत्येक प्रश्न में, I और II के रूप में दो समीकरण हैं। आपको दोनों समीकरणों को हल करना होगा और उत्तर देना होगा-

Q. 1. I. x2 + 3x – 4 = 0 II. 3y2 – 10y + 8 = 0

(1) If x > y

(2) If x < y

(3) If x > y

(4) If x < y

(5) If x = y or no relation between x and y can be established / यदि x = y या x और y के मध्य सम्बन्ध स्थापित नहीं किया जा सकता

Q. 2. I. 3x2 – 10x + 7 = 0 II. 15y2 – 22y + 8 = 0

(1) If x > y

(2) If x < y

(3) If x > y

(4) If x < y

(5) If x = y or no relation between x and y can be established / यदि x = y या x और y के मध्य सम्बन्ध स्थापित नहीं किया जा सकता


Q. 3. I. 20x2 – 17x + 3 = 0 II. 20y2 – 9y + 1 = 0


(1) If x > y

(2) If x < y

(3) If x > y

(4) If x < y

(5) If x = y or no relation between x and y can be established / यदि x = y या x और y के मध्य सम्बन्ध स्थापित नहीं किया जा सकता


Q. 4. I. 20x2 + 31x + 12 = 0 II. 21y2 – 23y + 6 = 0

(1) If x > y

(2) If x = y or no relation between x and y can be established / यदि x = y या x और y के मध्य सम्बन्ध स्थापित नहीं किया जा सकता

(3) If x > y

(4) If x < y

(5) If x < y


Q. 5. I. 4x2 – 8x + 3 = 0 II. 2y2 – 13y + 15 = 0

(1) If x > y

(2) If x < y

(3) If x > y

(4) If x < y

(5) If x = y or no relation between x and y can be established / यदि x = y या x और y के मध्य सम्बन्ध स्थापित नहीं किया जा सकता


Q. 6. The ratio of efficiency of A, B and C is 7: 5: 8 together they can complete a work in 42 days. B and C worked together for 21 days and A did the remaining work alone, then find how long it took to complete the work?

A, B और C की दक्षता का अनुपात 7: 5: 8 है एक साथ मिलकर वे किसी काम को 42 दिनों में पूरा कर सकते हैं| B और C ने 21 दिनों तक एक साथ कार्य किया और शेष कार्य A ने अकेले पूरा किया तो ज्ञात कीजिए कार्य पूरा होने में कितना समय लगा?
(1) 102
(2) 81
(3) 87
(4) 75
(5) None of these/इनमे से कोई नही|


Q. 7. Ram and Vinod start a business and invest Rs. 8000 and Rs. 16000 respectively. After 6 months, Ram doubles his investment and Vinod increases his investment by 50%. The business earns an annual profit of Rs. 6912 which is distributed between them. By how much more profit earned by Vinod than that earned by Ram?


राम और विनोद एक व्यवसाय शुरू करते हैं और क्रमशः रु. 8000 और रु. 16000 निवेश करते हैं । 6 महीने बाद, राम ने अपने निवेश को दोगुना कर दिया और विनोद ने अपना निवेश 50% बढ़ा दिया। व्यवसाय में रु. 6912 का वार्षिक लाभ प्राप्त होता है जो उनके बीच वितरित किया जाता है। विनोद द्वारा अर्जित किया गया लाभ राम द्वारा अर्जित लाभ कितना अधिक है?

(1) Rs. 1472

(2) Rs. 4320

(3) Rs. 1728

(4) Rs. 1872

(5) Rs. 1724


Q. 8. There are 100 students in 3 class VI, VII and VIII of a School. The average weight of all the three class taking together is 42 kg. The average weight of XI and XII is 43.75 kg and the average weight of VI is 35. The number of students in VI is-

एक स्कूल की तीन कक्षाओं VI, VII और VIII में 100 छात्र हैं | सभी कक्षाओं को एकसाथ लेने पर औसत भार 42 किग्रा. है | कक्षा VII और VIII का औसत भार 43.75 किग्रा. है और कक्षा VI का औसत भार 35 किग्रा. है | वर्ग VI में व्यक्तियों की संख्या क्या है?

(1) 20

(2) 35

(3) 30

(4) 25

(5) 24

Q. 9. A shopkeeper sold an article for Rs. 18200 with a discount of 9% and gained 13.75%. If no discount was allowed, what would be his profit percentage?

एक दुकानदार ने 9% की छूट के साथ और 13.75% के लाभ पर 18200 रुपये में एक वस्तु को बेचा । यदि कोई छूट नहीं दी गई, तो उसका लाभ प्रतिशत क्या होगा?

(1) 35%

(2) 40%

(3) 42%

(4) 25%

(5) 30%


Q. 10. If the difference of compound interest and simple interest at 12.5% on certain sum of money for third year Rs. 1275. Find the sum of money.

यदि किसी निश्चित धन पर 12.5% की दर से तीसरे वर्ष के चक्रवृद्धि ब्याज और साधारण ब्याज का अंतर 1275 रूपये है, तो मूलधन ज्ञात कीजिये ।

(1) Rs.38600

(2) Rs.36400

(3) Rs.34600

(4) Rs.34800

(5) Rs.38400

Answer Key-
Q-(1) Sol-(2)

I. x2 + 3x – 4 = 0
x = 1, – 4
II. 3y2 – 10y + 8 = 0
y = 2, 1.33
Hence, y > x

Q-(2) Sol-(1
)
I. 3x2 – 10x + 7 = 0
3x2 – 3x – 7x + 7 = 0
3x (x – 1) – 7(x – 1) = 0
(3x – 7) (x – 1) = 0
x = 1, 7/3
II. 15y2 – 22y + 8 = 0
15y2 – 10y – 12y + 8 = 0
5y (3y – 2) – 4 (3y – 2) = 0
(5y – 4) (3y – 2) = 0
y = 4/5, 2/3
Hence, x > y

Q-(3) Sol-(3)
I. 20x2 – 17x + 3 = 0
20x2 – 12x – 5x + 3 = 0
4x (5x – 3) – 1 (5x – 3) = 0
(4x – 1) (5x – 3) = 0
x = 1/4, 3/5
II. 20y2 – 9y + 1 = 0
20y2 – 4y – 5y + 1 = 0
4y (5y – 1) – 1(5y – 1) = 0
(4y – 1) (5y – 1) = 0
y = 1/4, 1/5
Hence, x > y

Q-(4) Sol-(5)

I. 20x2 + 31x + 12 = 0
20x2 + 15x + 16x + 12 = 0
5x (4x + 3) + 4 (4x + 3) = 0
(5x + 4) (4x + 3) = 0
x = – 4/5, – ¾
II. 21y2 – 23y + 6 = 0
21y2 – 9y – 14y + 6 = 0
3y (7y – 3) – 2 (7y – 3) = 0
(3y – 2) (7y – 3) = 0
y = 2/3, 3/7
Hence, y > x

Q-(5) Sol-(4)
I. 4x2 – 8x + 3 = 0
4x2 – 6x – 2x + 3 = 0
2x (2x – 3) – 1 (2x – 3) = 0
(2x – 1) (2x – 3) = 0
x = 1/2, 3/2
II. 2y2 – 13y + 15 = 0
2y2 – 10y – 3y + 15 = 0
2y(y – 5) – 3(y – 5) = 0
(2y – 3) (y – 5) = 0
y = 5, ½
Hence, x < y

Q-(6) Sol-(2)

20x × 42 = 840x
13x × 21 = 273x
840x – 273x = 567x
567x/7 = 81
21 + 81 = 102



Q-(7) Sol-(3)

Ratio between equivalent profit = (8000 × 6 + 16000 × 8) : (16000 × 6 + 24000 × 6)
= 144000 : 240000
= 3 : 5
Required % = Rs. 1728

Q-(8) Sol-(1)
Number of persons in category VI = x
Number of persons in categories VII and VIII = (100 – x)
x × 35 + (100 – x) × 43.75 = 42 × 100
35x + 43.75 × 100 – 43.75x = 4200
4375 – 8.75x = 4200
8.75x = 175
x = 20

Q-(9) Sol-(4)
S.P. = Rs. 18200 = 91%
M.P. = 100% = Rs. 20000
C.P. = Rs. 16000
If no discount is allowed, then
Profit % = 4000×100/16000= 25%

Q-(10) Sol-(5)
Let the sum of money be Rs. 512.
According to the question,
8 + 8 + 1 = 1275
17 = 1275
1 = 75
Sum of money = 75 × 512 = Rs. 38400



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