Quantitative Aptitude Quiz For IBPS & SBI Exam

Q-(1-5) In the following questions two equations I and II are given. You have to solve both the equations and give answer.

निम्नलिखित प्रश्नों में दो समीकरण (I) और (II) दिये गये है दोनों समीकरण हल कीजिए और सही सम्बन्ध ज्ञात कीजिये-

(1) (I) 2x2 - 11x + 15 = 0

(II) 2y2 - 15y + 28 = 0

(1) If x>y

(2) If x>y

(3) If x<y

(4) If x<y

(5) If x=y or relationship cannot be established

(2) 

(II) 16y2 - 40y + 25 = 0

(1) If x>y

(2) If x>y

(3) If x<y

(4) If x<y

(5) If x=y or relationship cannot be established

(3) (I) 4x2 + 9 - 12x = 0

(II) 64y2 - 80y + 25 = 0

(1) If x>y

(2) If x>y

(3) If x<y

(4) If x<y

(5) If x=y or relationship cannot be established

(4) (I) 34x2 + 11x = 3

(II) 51y2 - 77y + 12 = 0

(1) If x>y

(2) If x>y

(3) If x<y

(4) If x<y

(5) If x=y or relationship cannot be established

(5) (I) 3x2 - 16x + 21 = 0

(II) 6y2 - 25y + 21 = 0

(1) If x>y

(2) If x>y

(3) If x<y

(4) If x<y

(5) If x=y or relationship cannot be established

(6) The ratio of the incomes of A and B is 5 : 4 and the ratio of their expenditures is 3 : 2. If at the end of the year, each saves Rs. 1600, then the income of A is :

A और B के आय का अनुपात 5 : 4 है इनके खर्च का अनुपात 3 : 2 है। वर्ष के अंत में प्रत्येक 1600 रू. बचाते है। तो A का आय बताओ।

(1) Rs. 3400

(2) Rs. 3600

(3) Rs. 4000

(4) Rs. 4400

(5) None of these

(7) A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, the ratio of gold and copper in C will be :

A और B दो मिश्र धातुएँ सोने तथा ताँबे को क्रमशः 7 : 2 और 7 : 11 के अनुपात में मिलाकर बनाई जाती है। यदि मिश्र धातुओं को समान मात्रा में मिलाकर एक तीसरी मिश्र धातु C बनायी जाती है तो, मिश्र धातु C में सोने तथा ताँबे का अनुपात है-

(1) 5 : 7

(2) 5 : 9

(3) 7 : 6

(4) 9 : 5

(5) None of these

(8) A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water ?

धारा की दिशा में चल रही एक नाव 16 किमी. की दूरी 2 घंटें में तय करता है जब कि इतनी ही दूरी धारा के विपरीत तय करने में उसे 4 घंटे लगते हैं नाव की शांत जल में चाल क्या है ?

(1) 4 km/hr

(2) 6 km/hr

(3) 8 km/hr

(4) Data inadequate

(5) None of these

Q-(9-10) What will come in the place of question mark (?) in the following number series?

निम्न संख्या श्रृंखलाओं में प्रश्नचिन्ह (?) के स्थान पर क्या आयेगा ?

(9) 25 51 157 794 5574 ?

(1) 61339

(2) 56018

(3) 64888

(4) 58902

(5) 63388

(10) 1 3 11 58 410 4515 ?

(1) 85701

(2) 58701

(3) 62581

(4) 26581

(5) 26585

Answer Key-

Q-(1) Sol-(3)

(I) 2x2 - 6x - 5x + 15 = 0

2x(x-3) -5(x-3) = 0

x = 3,2.5

(II) 2y2 - 8y - 7y + 28= 0

2y(y-4) -7(y-4) = 0

y = 4,3.5

x < y

Q-(2) Sol-(1)


Q-(3) Sol-(1)



Q-(4) Sol-(4)


Q-(5) Sol-(5)


Relation can't be established.

Q-(6) Sol-(3)

Let the income of A and B be Rs. 5x and Rs.4x respectively and let their expenditures be Rs. 3y 

and Rs. 2y respectively.

Then, 5x - 3y = 1600 .. (i) and 4x-2y = 1600

on multiplying (i) by 2, (ii) by 3 and subtracting . We get : 2x = 1600

x = 800

A's income = Rs. 5x = Rs. (5 × 800)

= Rs. 4000

Q-(7) Sol-(5)



Q-(8) Sol-(2)


Q-(9) Sol-(1)

×2+1, ×3+4, ×5+9, ×7+16, ×11+25

Q-(10) Sol-(2)

×2+1,×3+2,×5+3,×7+4,×11+5,×13+6



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