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8 173
1) Answer: c)
Let the yellow ball be x,
Probability of getting one yellow ball = 1/7
xC1/(12 + x)C1 = 1/7
x/(12 + x) = 1/7
7x = 12 + x
6x = 12
x = 2
Yellow balls in bag A = 2 balls
Total probability = 14C3
The probability of getting at least one pink ball
= > 1 – P(none is pink ball)
Probability of getting none is pink ball
= >11C3 /14C3 = 165/364
The probability of getting at least one pink ball
= > 1 – (165/364) = 199/364
2) Answer: a)
Let the white ball be X,
Probability of getting one yellow ball = 1/3
5C1/(12 + X)C1 = 1/3
5/(12 + X) = 1/3
15 = 12 + X
X = 3
The total white balls in bag C = 3
Total probability = 15C4
Required probability = 3C1 and 5C1 and 4C1 and 3C1
The probability of getting different color balls
= > [3C1 and 5C1 and 4C1 and 3C1]/15C4
= > 12/91
3) Answer: d)
Let the black ball be X,
Probability of getting one yellow ball = 1/5
4C1/(15 + X)C1 = 1/5
4/(15 + X) = 1/5
20 = 15 + X
X = 5
Total number of black balls = 5
Total probability = 20C4
Required probability = 5C2 and 15C2
The probability of getting 2 pink balls from bag D
= > (5C2 and 15C2)/20C4
= > 70/323
4) Answer: b)
Let the pink ball in bag B be X,
Probability of getting one yellow ball = 3/10
6C1/(13 + X)C1 = 3/10
6/(13 + X) = 3/10
13 + X = 20
X = 7
The total number of pink ball in bag B = 7 balls
Total balls in bag B = 5 + 6 + 7 + 2 = 20
Let the yellow ball in bag E be Y,
Probability of getting one yellow ball = 1/5
YC1/(12 + Y)C1 = 1/5
Y/(12 + Y) = 1/5
5Y = 12 + Y
4Y = 12
Y = 3
The total number of yellow ball in bag E = 3 balls
Total balls in bag E = 3 + 3 + 5 + 4 = 15
Required ratio = 20 : 15 = 4 : 3
5) Answer: a)
Let the pink ball in bag B be X,
Probability of getting one yellow ball = 3/10
6C1/(13 + X)C1 = 3/10
6/(13 + X) = 3/10
13 + X = 20
X = 7
The total number of pink ball in bag B = 7 balls
Total number of pink balls in all the bags together
= > 3 + 7 + 4 + 5 + 5 = 24
Let the yellow ball in bag A be Y,
Probability of getting one yellow ball = 1/7
YC1/(12 + Y)C1 = 1/7
Y/(12 + Y) = 1/7
7Y = 12 + Y
6Y = 12
Y = 2
Yellow balls in bag A = 2 balls
Let the yellow ball in bag E be Z,
Probability of getting one yellow ball = 1/5
ZC1/(12 +Z)C1 = 1/5
Z/(12 + Z) = 1/5
5Z = 12 + Z
4Z = 12
Z = 3
The total number of yellow ball in bag E = 3 balls
Total number of yellow balls in all the bags together
= > 2 + 6 + 5 + 4 + 3 = 20
Required % = (24/20)*100 = 120 %
8 173
1) If 3 balls are taken out randomly from bag A, then find the probability of getting at least one pink ball from bag A?
यदि बैग A से यादृच्छिक रूप से 3 गेंदें निकाली जाती हैं, तो बैग A से कम से कम एक गुलाबी गेंद मिलने की प्रायिकता ज्ञात कीजिए?
a) 247/425
b) 78/217
c) 199/364
d) 123/289
e) None of these
2) If 4 balls are taken out randomly from bag C, then find the probability of getting different color balls from bag C?
यदि बैग C से यादृच्छिक रूप से 4 गेंदें निकाली जाती हैं, तो बैग C से अलग-अलग रंग की गेंदें मिलने की प्रायिकता ज्ञात कीजिए?
a) 12/91
b) 45/77
c) 33/125
d) 127/245
e) None of these
3) If 4 balls are taken out randomly from bag D, then find the probability of getting 2 pink balls from bag D?
यदि बैग D से 4 गेंदें यादृच्छया निकाली जाती हैं, तो बैग D से 2 गुलाबी गेंदें मिलने की प्रायिकता ज्ञात कीजिए?
a) 56/121
b) 123/285
c) 92/157
d) 70/323
e) None of these
4) Find the ratio between the total number of balls in bag B to that of bag E?
बैग B में गेंदों की कुल संख्या और बैग E की गेंदों की कुल संख्या के बीच का अनुपात ज्ञात कीजिए?
a) 5 : 6
b) 4 : 3
c) 7 : 8
d) 5 : 4
e) None of these
5) Total number of pink balls in all the bags together is what percentage of total number of yellow balls in all the bags together?
सभी बैगों में मिलाकर गुलाबी गेंदों की कुल संख्या, सभी बैगों में मिलाकर पीली गेंदों की कुल संख्या का कितना प्रतिशत है?
a) 120 %
b) 80 %
c) 150 %
d) 100 %
e) 90 %
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8 173
The following table shows the number of 4 different color balls in 6 different bags.
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8 173
6) Answer: a)
The total number of fortune magazine readers of Kerala and MP in the year 2017
= >36000 + 28000 = 64000
The total number of fortune magazine readers of Maharashtra and Karnataka in the year 2018
= >26000 + 30000 = 56000
Required ratio = 64000 : 56000 = 8 : 7
7) Answer: d)
The total number of fortune magazine readers of Andhra in both the years together
= >25000 + 32000 = 57000
The total number of fortune magazine readers of Maharashtra in both the years together
= >32000 + 26000 = 58000
Required difference = 58000 – 57000 = 1000
8) Answer: b)
The average number of fortune magazine readers of all the given states in the year 2018
= >(32000 + 38000 + 44000 + 26000 + 30000) / 5
= > 170000/5 = 34000
9) Answer: e)
Total number of fortune magazine readers of Andhra and Karnataka in the year 2018
= >32000 + 30000 = 62000
Total number of fortune magazine readers of Kerala and Maharashtra in the year 2017
= >36000 + 32000 = 68000
Required % = (62000 / 68000) * 100 = 91.17 % = 91 %
10) Answer: c)
The total number of fortune magazine readers of Kerala in both the years together
= >36000 + 38000 = 74000
The total number of fortune magazine readers of MP in both the years together
= >28000 + 44000 = 72000
Required % = [(74000 – 72000) / 72000] * 100 = 2.77 % = 3 % more
8 173
6) Find the ratio between the total number of fortune magazine readers of Kerala and MP in the year 2017 to that of the total number of fortune magazine readers of Maharashtra and Karnataka in the year 2018?
वर्ष 2017 में केरल और मध्य प्रदेश के फॉर्च्यून पत्रिका के पाठकों की कुल संख्या का वर्ष 2018 में महाराष्ट्र और कर्नाटक के फॉर्च्यून पत्रिका पाठकों की कुल संख्या से अनुपात ज्ञात कीजिए?
a) 8 : 7
b) 11 : 9
c) 13 : 10
d) 25 : 22
e) None of these
7) Find the difference between the total number of fortune magazine readers of Andhra to that of Maharashtra in both the years together?
दोनों वर्षों में आंध्र के फॉर्च्यून पत्रिका के पाठकों की कुल संख्या और महाराष्ट्र के पाठकों की कुल संख्या के बीच अंतर ज्ञात कीजिए?
a) 3000
b) 5000
c) 2000
d) 1000
e) None of these
8) Find the average number of fortune magazine readers of all the given states in the year 2018?
वर्ष 2018 में दिए गए सभी राज्यों के फॉर्च्यून पत्रिका के पाठकों की औसत संख्या ज्ञात कीजिए?
a) 32000
b) 34000
c) 33000
d) 35000
e) None of these
9) Total number of fortune magazine readers of Andhra and Karnataka in the year 2018 is approximately what percentage of total number of fortune magazine readers of Kerala and Maharashtra in the year 2017?
वर्ष 2018 में आंध्र और कर्नाटक के फॉर्च्यून पत्रिका के पाठकों की कुल संख्या, वर्ष 2017 में केरल और महाराष्ट्र के फॉर्च्यून पत्रिका पाठकों की कुल संख्या का लगभग कितना प्रतिशत है?
a) 103 %
b) 78 %
c) 66 %
d) 117 %
e) 91 %
10) The total number of fortune magazine readers of Kerala in both the years together is approximately what percentage more/less than the total number of fortune magazine readers of MP in both the years together?
दोनों वर्षों में केरल के फॉर्च्यून पत्रिका के पाठकों की कुल संख्या, दोनों वर्षों में मिलाकर मध्य प्रदेश के फॉर्च्यून पत्रिका के पाठकों की कुल संख्या से लगभग कितने प्रतिशत अधिक/कम है?
a) 15 % more
b) 15 % less
c) 3 % more
d) 27 % more
e) 3 % less
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8 173
The following bar graph shows the total number of fortune magazine readers (In thousands)in the year 2017 and 2018 in 5 different states.
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8 173
6) Answer: a)
The total number of males working in department A
= > 1500 * (52/100)
The total number of females working in department D
= > 2000 * (54/100)
Required ratio = [1500 * (52/100)] : [2000 * (54/100)]
= > 13 : 18
7) Answer: d)
The total number of unmarried males in department B and E together
= > 1200 * (48/100) * (13/32) + 2300 * (42/100) * (1/3)
= > 234 + 322 = 556
8) Answer: b)
The average number of females working in department B, C and D together
= > [1200 * (52/100) + 1800 * (46/100) + 2000 * (54/100)]/3
= > [624 + 828 + 1080]/3
= > 2532/3 = 844
9) Answer: a)
Total number of females working in department A and E together
= > 1500 * (48/100) + 2300 * (58/100)
= > 720 + 1334 = 2054
Total number of males working in department C and D together
= > 1800 * (54/100) + 2000 * (46/100)
= > 972 + 920 = 1892
Required % = (2054/1892) * 100 = 108.56 % = 109 %
10) Answer: c)
Total number of employees working in department A and B together
= > 1500 + 1200 = 2700
The total number of employees working in department E = 2300
Required % = [(2700 – 2300) / 2300] * 100 = 17.39 % = 17 % more
8 173
6) Find the ratio between the total number of males working in department A to that of total number of females working in department D?
विभाग A में काम करने वाले पुरुषों की कुल संख्या और विभाग D में काम करने वाली महिलाओं की कुल संख्या के बीच का अनुपात ज्ञात कीजिए?
a) 13 : 18
b) 27 : 35
c) 22 : 29
d) 11 : 15
e) None of these
7) Find the total number of unmarried males in department B and E together, if the ratio between the total number of married males to that of unmarried males is 19 : 13 and 2 : 1 respectively?
विभाग B और E में मिलाकर अविवाहित पुरुषों की कुल संख्या ज्ञात कीजिए, यदि अविवाहित पुरुषों की कुल विवाहित पुरुषों की संख्या का अनुपात क्रमशः 19:13 और 2:1 है?
a) 584
b) 632
c) 678
d) 556
e) None of these
8) Find the average number of females working in department B, C and D together?
विभाग B, C और D में मिलाकर काम करने वाली महिलाओं की औसत संख्या ज्ञात कीजिए?
a) 812
b) 844
c) 878
d) 926
e) None of these
9) Total number of females working in department A and E together is approximately what percentage of total number of males working in department C and D together?
विभाग A और E में मिलाकर काम करने वाली महिलाओं की कुल संख्या विभाग C और D में मिलाकर काम करने वाले पुरुषों की कुल संख्या का लगभग कितना प्रतिशत है?
a) 109 %
b) 125 %
c) 142 %
d) 95 %
e) 156 %
10) Total number of employees working in department A and B together is approximately what percentage more than the total number of employees working in department E?
विभाग A और B में मिलाकर कार्यरत कर्मचारियों की कुल संख्या, विभाग E में कार्यरत कर्मचारियों की कुल संख्या से लगभग कितने प्रतिशत अधिक है?
a) 6 %
b) 32 %
c) 17 %
d) 45 %
e) 58 %
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8 173
The following table shows the total number of employees working in 5 different departments and the percentage of females among them.
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8 173
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8 173
Repost from ENGLISH + VOCAB || THE HINDU
🔰The Hindu Vocabulary For All Competitive Exams | 24-02-2022🔰
1. ABHORRENT (ADJECTIVE): (घिनौना): hateful
Synonyms: detestable, detested
Antonyms: admirable
Example Sentence:
Racism is abhorrent to us all.
2. VOLATILE (ADJECTIVE): (अस्थिर): tense
Synonyms: strained, fraught
Antonyms: stable
Example Sentence:
The political situation was becoming more volatile.
3. DESPERATE (ADJECTIVE): (निराशाजनक): despairing
Synonyms: hopeless, anguished
Antonyms: cheerful
Example Sentence:
A desperate sadness had enveloped my mind.
4. RELUCTANT (ADJECTIVE): (अनिच्छुक): unwilling
Synonyms: disinclined, unenthusiastic
Antonyms: willing
Example Sentence:
He is always reluctant in trying anything new.
5. DISCARD (VERB): (अलग करना): throw away
Synonyms: throw out, get rid of
Antonyms: keep
Example Sentence:
She bundled up the clothes she had discarded.
6. IRONIC (ADJECTIVE): (ताने के तौर पर): sarcastic
Synonyms: sardonic dry
Antonyms: sincere
Example Sentence:
His mouth curved into an ironic smile.
7. ABOLISH (VERB): (समाप्त करना): put an end to
Synonyms: do away with, get rid of
Antonyms: retain
Example Sentence:
The tax was abolished in 1977.
8. ADULTERATE (VERB): (मिलावट करना): degrade
Synonyms: debase, spoil
Antonyms: refine
Example Sentence:
The brewer is said to adulterate his beer.
9. DEFAMATORY (ADJECTIVE): (अपवादक): libellous
Synonyms: slanderous, defaming
Antonyms: complimentary
Example Sentence:
He used a defamatory statement to mention her.
10. RIDICULE (VERB): (उपहास करना): deride
Synonyms: mock, laugh at
Antonyms: praise
Example Sentence:
His theory was ridiculed and dismissed.
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8 173
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8 173
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