• facebook
  • whatsapp
  • telegram

QUADRATIC EQUATIONS

Directions (1-5): Given question is followed by information given in two statements named as Quantity I and Quantity II. You have study the information along with the question and compare the value derived from Quantity I and Quantity II then answer the questions.
1. Sum of 8 consecutive even numbers is S1. (SBI PO - 2018)
Quantity I: Sum of second number and eighth number in S1.
Quantity II: Sum of third number and sixth number in S1.
Ans: Quantity I > Quantity II 
Explanation:
Let the numbers be x, x + 2, x + 4, x + 6, x + 8, x + 10, x + 12 and x + 14
Quantity I: x + 2 + x + 14 = 2x + 16
Quantity II: x + 4 + x + 10 = 2x + 14
∴ Quantity I > Quantity II

 

2. The cost price of 2 items A and B is same. The shopkeeper decided to mark the price 40% more than the CP of each item. A discount of 25% was given on item A and discount of 20% was given on item B. Total profit earn on both item was Rs.34.
Quantity I: CP of the items.
Quantity II: CP of any item which was sold at 12.5% profit and profit earned on it was Rs. 25.
Ans: Quantity I = Quantity II
Explanation:
Let the Cost Prices of A & B be Rs.100 each. Marked prices of each item will be Rs.140
SP of A = 75% of 140 = 105
SP of B = 80% of 140 = 112
Total profit on A & B = 217 - 200 = Rs.17
If the profit is Rs.17,
The cost price is Rs.100 each.
If the profit is Rs.34,
The cost price of each item is Rs.200.
Quantity I: Rs.200
Quantity II: 12.5% (profit) = Rs.25
100% (CP) =  × 25 = Rs.200
∴ Quantity I = Quantity II

 

3. There are 63 cards in a box numbered from 01 to 63. Every card is numbered with only 1 number.
Quantity I: Probability of picking up a card whose digits, if interchanged, result in a number which is 36 more than the number picked up.
Quantity II: Probability of picking up a card, the number printed on which is a multiple of 8 but not that of 16.
Ans: Quantity I > Quantity II 
Explanation:
Quantity I: When interchange the digits, number is 36 more than the original number
Possibilities are (04, 15, 26, 37, 48 and 59)
Probability = 
Quantity II: Multiple of 8 but not multiple of 16
Possibilities are (8, 24, 40 and 56)
Probability = 
∴ Quantity I > Quantity II

4. A girl walked to school at a speed of 3 miles per hour. Once she reached the school, she realized that
she forgot to bring her books, so rushed back home at a speed of 6 miles per hour. She then walked
back to school at a speed of 4 miles per hour. All the times, she walked in the same route.
Quantity I: Her average speed over the entire journey.
Quantity II: 4 mph.
Ans: Quantity I = Quantity II or No relation can be established
Explanation:
Quantity I: Let the distance between home and school be 'x' miles and times taken to travel three times to this distance be t1, t2 and t3

⇒ 4 mph
Quantity II: 4 mph
∴ Quantity I = Quantity II

5. If a speed of boat is 500% more than the speed of a current. (SBI PO - 2018)
Quantity I: If boat can travel a distance of 63 km in 3 hrs, in downstream then 'x' is the speed of the
boat in upstream (kmph).
Quantity II: 15 km/hr.
Ans: Quantity I = Quantity II or No relation
Explanation:
Quantity I: Let the speed of current = x
Speed of boat = x + 5x
Downstream speed = x + x + 5x = 7x
∴   = 3 ⇒ x = 3
Upstream speed = 6x - x = 5x = 15 kmph
Quantity II: 15 kmph
∴ Quantity I = Quantity II

6. Given question is followed by information given in two statements named as Quantity I and Quantity II. You have to study the information along with the question and compare the value derived from
Quantity I and Quantity II then answer the question.
Quantity I- x: x2 + x - 6 = 0
Quantity II- y: y2 + 7y + 12 = 0 (SBI PO - 2018)
Ans: Quantity I  Quantity II 
Explanation:
Quantity I: x2 + x - 6 = 0
⇒ (x + 3)(x - 2) = 0
⇒ x = -3, 2
Quantity II: y2 + 7y + 12 = 0
⇒ (x + 4)(x + 3) = 0
⇒ x = -4, -3
∴ x  y

Posted Date : 10-02-2021

గమనిక : ప్రతిభ.ఈనాడు.నెట్‌లో కనిపించే వ్యాపార ప్రకటనలు వివిధ దేశాల్లోని వ్యాపారులు, సంస్థల నుంచి వస్తాయి. మరి కొన్ని ప్రకటనలు పాఠకుల అభిరుచి మేరకు కృత్రిమ మేధస్సు సాంకేతికత సాయంతో ప్రదర్శితమవుతుంటాయి. ఆ ప్రకటనల్లోని ఉత్పత్తులను లేదా సేవలను పాఠకులు స్వయంగా విచారించుకొని, జాగ్రత్తగా పరిశీలించి కొనుక్కోవాలి లేదా వినియోగించుకోవాలి. వాటి నాణ్యత లేదా లోపాలతో ఈనాడు యాజమాన్యానికి ఎలాంటి సంబంధం లేదు. ఈ విషయంలో ఉత్తర ప్రత్యుత్తరాలకు, ఈ-మెయిల్స్ కి, ఇంకా ఇతర రూపాల్లో సమాచార మార్పిడికి తావు లేదు. ఫిర్యాదులు స్వీకరించడం కుదరదు. పాఠకులు గమనించి, సహకరించాలని మనవి.

 

mains

Previous Papers

 

విద్యా ఉద్యోగ సమాచారం

 

Model Papers

 

లేటెస్ట్ నోటిఫికేష‌న్స్‌