Data Sufficiency Practice Questions & Answers PDF- Important for RBI Assistant Mains

RBI Assistant Mains 2023 exam is scheduled for 31st Dec which is just around the corner. It’s time for the candidates to revise the already learned concepts and since only a few days are left, aspirants can practice questions from important topics. In this blog today we have come up with Data Sufficiency Practice Questions & Answers PDF. Data Sufficiency is quite an important concept, however the best way to ace the concept and thus the section is to practice more and more questions on the same. Below we are providing a set of practice questions, answers along with detailed solutions. To begin with, let’s first take a look at the RBI Assistant Mains exam pattern. 

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RBI Assistant Mains Exam Pattern

Data Sufficiency Practice Questions & Answers PDF

Though, these data sufficiency questions can be practiced for all mains exams, however since RBI Assistant is just around the corner, so it’s better that you practice these as this may help you to attempt these types of questions in a perfect way. 

Question 1: The question consists of two statements numbered “I and II” given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.

A, B and C together can complete the work in 36 days. In how many days C alone can complete the work?

Statement I: B and C together can complete the work in 52 days.

Statement II: B is 50% more efficient than A.

A) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

B) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

C) The data either in statement I alone or in statement II alone are sufficient to answer the question.

D) The data given in both statements I and II together are not sufficient to answer the question.

E) The data in both statements I and II together are necessary to answer the question.

Question 2: The question consists of two statements numbered “I and II” given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.

The incomes of ‘A’ and ‘B’ are Rs. 28000 and Rs. 20000, respectively. The expenditure of ‘A’ is how much percent more/less than that of ‘B’?

Statement I: The savings of ‘A’ is 40% more than that of ‘B’.

Statement II: ‘A’ and ‘B’ both spends 25% of their respective incomes.

A) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

B) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

C) The data either in statement I alone or in statement II alone are sufficient to answer the question.

D) The data given in both statements I and II together are not sufficient to answer the question.

E) The data in both statements I and II together are necessary to answer the question.

Question 3: The question consists of two statements numbered “I and II” given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.

There are three persons ‘A’, ‘B’ and ‘C’. ‘A’ can complete 20% of work in 5 days. Find the ratio of efficiencies of ‘A’ to that of ‘C’.

Statement I: ‘B’ takes 10 days less than ‘C’ to complete the work, while ‘A’ and ‘B’ together can complete 72% of the work in 8 days.

Statement II: ‘C’ is least efficient among all.

A) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

B) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

C) The data either in statement I alone or in statement II alone are sufficient to answer the question.

D) The data given in both statements I and II together are not sufficient to answer the question.

E) The data in both statements I and II together are necessary to answer the question.

Question 4: The question consists of two statements numbered “I and II” given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.

In a bag there are (x + y) black balls, 5 red balls and ‘y’ blue balls. Find the value of ‘x’.

Statement I: The probability of picking a black ball at random is 1/2.

Statement II: The probability of picking a red ball at random is 1/6.

A) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

B) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

C) The data either in statement I alone or in statement II alone are sufficient to answer the question.

D) The data given in both statements I and II together are not sufficient to answer the question.

E) The data in both statements I and II together are necessary to answer the question.

प्रश्न 1: इस प्रश्न में दो कथन I और II दिए गए हैं|आपको यह तय करना है कि कथन में दी गई जानकारी उत्तर देने के लिए पर्याप्त है या नहीं|

एक कार्य को A, B और C साथ में 36 days में कर सकते हैं|अकेले C कार्य को कितने days में कर सकता है?

कथन I: B और C साथ में कार्य को 52 days में कर सकते हैं|

कथन II: B A से 50% अधिक कार्यकुशल है|

A) सिर्फ कथन I में दी गयी जानकारी प्रश्न का उत्तर देने के लिए पर्याप्त है, जबकि सिर्फ कथन II में दी गई जानकारी उत्तर देने के लिए पर्याप्त नहीं है|

B) सिर्फ कथन II में दी गयी जानकारी प्रश्न का उत्तर देने के लिए पर्याप्त है, जबकि सिर्फ कथन I में दी गई जानकारी उत्तर देने के लिए पर्याप्त नहीं है|

C) या तो सिर्फ कथन I या सिर्फ कथन II में दी गयी जानकारी उत्तर देने के लिए पर्याप्त है|

D) दोनों कथन I और II में दी गई संयुक्त जानकारी उत्तर देने के लिए पर्याप्त नहीं है|

E) दोनों कथन I और II में दी गई संयुक्त जानकारी उत्तर देने के लिए आवश्यक है|

प्रश्न 2: निम्नलिखित प्रश्न में दो कथन I और II दिए गए हैं|आपको यह तय करना है कि कथन में दी गई जानकारी उत्तर देने के लिए पर्याप्त है या नहीं|

‘A’ और ‘B’ की आय क्रमशः Rs. 28000 और Rs. 20000 है|‘A’ का व्यय ‘B’ के व्यय से कितना प्रतिशत अधिक/कम है?

कथन I: ’A’ की बचत ‘B’ की बचत से 40% अधिक है।

कथन II: ‘A’ और ‘B’ दोनों ही अपनी-अपनी आय का 25% खर्च करते हैं।

A) सिर्फ कथन I में दी गयी जानकारी प्रश्न का उत्तर देने के लिए पर्याप्त है, जबकि सिर्फ कथन II में दी गई जानकारी उत्तर देने के लिए पर्याप्त नहीं है|

B) सिर्फ कथन II में दी गयी जानकारी प्रश्न का उत्तर देने के लिए पर्याप्त है, जबकि सिर्फ कथन I में दी गई जानकारी उत्तर देने के लिए पर्याप्त नहीं है|

C) या तो सिर्फ कथन I या सिर्फ कथन II में दी गयी जानकारी उत्तर देने के लिए पर्याप्त है|

D) दोनों कथन I और II में दी गई संयुक्त जानकारी उत्तर देने के लिए पर्याप्त नहीं है|

E) दोनों कथन I और II में दी गई संयुक्त जानकारी उत्तर देने के लिए आवश्यक है|

प्रश्न 3: निम्नलिखित प्रश्न में दो कथन I और II दिए गए हैं|आपको यह तय करना है कि कथन में दी गई जानकारी उत्तर देने के लिए पर्याप्त है या नहीं|

तीन व्यक्ति ‘A’, ‘B’ और ‘C’ हैं।‘A’ 5 दिनों में 20% काम पूरा कर सकता है।‘A’ और ‘C’ की क्षमता का अनुपात ज्ञात करें?

कथन I: ‘B’ काम को पूरा करने के लिए ‘C’ से 10 दिन कम लेता है, जबकि ‘A’ और ‘B’ एक साथ 8 दिनों में 72% काम पूरा कर सकते हैं।

कथन II: सभी व्यक्तियों में से ‘C’ की क्षमता सबसे कम है|

A) सिर्फ कथन I में दी गयी जानकारी प्रश्न का उत्तर देने के लिए पर्याप्त है, जबकि सिर्फ कथन II में दी गई जानकारी उत्तर देने के लिए पर्याप्त नहीं है|

B) सिर्फ कथन II में दी गयी जानकारी प्रश्न का उत्तर देने के लिए पर्याप्त है, जबकि सिर्फ कथन I में दी गई जानकारी उत्तर देने के लिए पर्याप्त नहीं है|

C) या तो सिर्फ कथन I या सिर्फ कथन II में दी गयी जानकारी उत्तर देने के लिए पर्याप्त है|

D) दोनों कथन I और II में दी गई संयुक्त जानकारी उत्तर देने के लिए पर्याप्त नहीं है|

E) दोनों कथन I और II में दी गई संयुक्त जानकारी उत्तर देने के लिए आवश्यक है|

प्रश्न 4: निम्नलिखित प्रश्न में दो कथन I और II दिए गए हैं|आपको यह तय करना है कि कथन में दी गई जानकारी उत्तर देने के लिए पर्याप्त है या नहीं|

एक बैग में (x + y) black balls, 5 red balls और ‘y’ blue balls होती हैं। ‘x’ का मान ज्ञात करें?

कथन I: यादृच्छिक रूप से एक black ball चुनने की प्रायिकता 1/2 है।

कथन II: यादृच्छिक रूप से red ball चुनने की प्रायिकता 1/6 है।

A) सिर्फ कथन I में दी गयी जानकारी प्रश्न का उत्तर देने के लिए पर्याप्त है, जबकि सिर्फ कथन II में दी गई जानकारी उत्तर देने के लिए पर्याप्त नहीं है|

B) सिर्फ कथन II में दी गयी जानकारी प्रश्न का उत्तर देने के लिए पर्याप्त है, जबकि सिर्फ कथन I में दी गई जानकारी उत्तर देने के लिए पर्याप्त नहीं है|

C) या तो सिर्फ कथन I या सिर्फ कथन II में दी गयी जानकारी उत्तर देने के लिए पर्याप्त है|

D) दोनों कथन I और II में दी गई संयुक्त जानकारी उत्तर देने के लिए पर्याप्त नहीं है|

E) दोनों कथन I और II में दी गई संयुक्त जानकारी उत्तर देने के लिए आवश्यक है|

ANSWER KEYS and SOLUTIONS:

Solution 1: E)

Statement I:

Let the total work = 468 units (LCM of 36 and 52 days)

Amount of work done by A, B and C together in one day = 468/36 = 13 units

Amount of work done by B and C together in one day = 468/52 = 9 units

Amount of work done by A alone in one day = 13 – 9 = 4 units

Since, we cannot find the efficiency of C.

So, data in statement I alone is not sufficient to answer the question.

Statement II:

Efficiencies of A and B are given but the efficiency of C is not known.

So, data in statement II alone is not sufficient to answer the question.

Combining statement I and statement II:

Let the total work = 468 units (LCM of 36 and 52 days)

Amount of work done by A, B and C together in one day = 468/36 = 13 units

Amount of work done by B and C together in one day = 468/52 = 9 units

Amount of work done by A alone in one day = 13 – 9 = 4 units

Amount of work done by B alone in one day = 1.5 × 4 = 6 units

Amount of work done by C alone in one day = 9 – 6 = 3 units

Time taken by C alone to complete the work = 468/3 = 156 days

So, The data in both statements I and II together are necessary to answer the question.

Hence, option e.

Solution 2: C)

Ratio of the incomes of ‘A’ and ‘B’ = 28000:20000 = 7:5

Statement I:

Ratio of the savings of ‘A’ and ‘B’ = 14:10 = 7:5

Since the ratio of incomes and savings both of ‘A’ and ‘B’ is 7:5 therefore, the ratio of their expenditure will also be 7:5.

Required percentage = {(7 – 5)/5} × 100 = 40%

So, data in statement I alone is sufficient to answer the question.

Statement II:

Ratio of the expenditure of ‘A’ and ‘B’ = 0.25 × 7x: 0.25 × 5x = 7:5

Since the ratio of incomes and savings both of ‘A’ and ‘B’ is 7:5 therefore, the ratio of their expenditure will also be 7:5.

Required percentage = {(7 – 5)/5} × 100 = 40%

So, data in statement II alone is sufficient to answer the question.

So, data either in statement I alone or in statement II alone are sufficient to answer the question.

Hence, option c.

Solution 3: A)

Time taken by ‘A’ to complete the work = 5/0.2 = 25 days

Statement I:

Let the time taken by ‘B’ to complete the work be ‘x’ days

Let the total work = 25x units

Efficiency of ‘A’ = 25x/25 = ‘x’ units/day

Efficiency of ‘B’ = 25x/x = 25 units/day

According to the question,

(25 + x) × 8 = 0.72 × 25x

Or, x = 20 days

Therefore, time taken by ‘C’ to complete the work = 20 + 10 = 30 days

Ratio of efficiencies is inverse of number of days taken to complete the work

Therefore, required ratio = 30:25 = 6:5

So, data in statement I alone is sufficient to answer the question.

Statement II:

‘C’ is least efficient among all.

So, data in statement II alone is not sufficient to answer the question.

So, data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

Hence, option a.

Solution 4: A)

Statement I:

According to the question,

{(x + y)/(x + y + 5 + y)} = 1/2

Or, 2x + 2y = 5 + x + 2y

Or, x = 5

So, data in statement I alone is sufficient to answer the question.

Statement II:

According to the question,

5/(x + y + 5 + y) = 1/6

Or, x + 2y = 15

So, data in statement II alone is not sufficient to answer the question.

So, data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

Hence, option a.

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