The difference between the squares of two numbers is 256000 and the sum of the numbers is 1000. The numbers are- [67th BPSC Pre Exam-2022]
Anonymous Quiz
9%
(A) 600, 400
21%
(B) 640, 360
52%
(C) 628, 372
12%
(D) 650, 350
6%
(E) None of the above/More than one of the above
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A clock is set right at 8 amThe clock gains 10 minutes in 24 hours. What will be the true time when the clock indicates 1 p.m. on the following day? [67th BPSC Pre Exam-2022]
Anonymous Quiz
2%
(A) 12 noon
54%
(B) 48 minutes past 12 noon
23%
(C) 1 p.m
10%
(D) 2 p.m.
11%
(E) None of the above/More than one of the above
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The perimeter of a rhombus is 52 m and its shorter diagonal is 10 m. The length of the longer diagonal is- [67th BPSC Pre Exam-2022]
Anonymous Quiz
17%
(A) 12 m
29%
(B) 18 m
34%
(C) 10 m
15%
(D) 24 m
6%
(E) None of the above/More than one of the above
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Samar and Ankit start to do a piece of work. Samar can complete the piece of work in ‘D’ days. If Ankit can complete 25% of the same work in 5D/4 days, then find the ratio of efficiency of Ankit to that of Samar.
Anonymous Quiz
14%
(a) 2 : 5
22%
(b) 1 : 2
61%
(c) 1 : 5
3%
(d) 2 : 7
👆Ans. C
Explanation:
Let the total work be w units.
Total time taken by Samar to complete the work = D days
Now, Ankit does 0.25w units of work in 1.25D days.
Hence, Ankit will take 5D days to complete the total w units of work.
Efficiency of Samar = 1/D
Efficiency of Ankit = 1/5D
Hence, the required ratio of efficiency of Ankit to that of Samar = 1/5D : 1/D = 1 : 5
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Explanation:
Let the total work be w units.
Total time taken by Samar to complete the work = D days
Now, Ankit does 0.25w units of work in 1.25D days.
Hence, Ankit will take 5D days to complete the total w units of work.
Efficiency of Samar = 1/D
Efficiency of Ankit = 1/5D
Hence, the required ratio of efficiency of Ankit to that of Samar = 1/5D : 1/D = 1 : 5
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Arman is taller than Ranjana, who is shorter than Bhola. Arjun is shorter than Bhola, and Ranjana is taller than Pinki. Bhola is shorter than Arman. Who is the tallest among the five?
Anonymous Quiz
58%
(a) Arman
20%
(b) Arjun
16%
(c) Bhola
5%
(d) None of these
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👆Ans. A
Explanation:
Based on the information given in the question, the 5 concerned persons can be arranged in 3 possible ways.
Arman > Bhola > Arjun > Ranjana > Pinki
Or Arman > Bhola > Ranjana > Arjun > Pinki
Or Arman > Bhola > Ranjana > Pinki > Arjun
We can see that Arman is the tallest in all three possible arrangements.
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Explanation:
Based on the information given in the question, the 5 concerned persons can be arranged in 3 possible ways.
Arman > Bhola > Arjun > Ranjana > Pinki
Or Arman > Bhola > Ranjana > Arjun > Pinki
Or Arman > Bhola > Ranjana > Pinki > Arjun
We can see that Arman is the tallest in all three possible arrangements.
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Names of 6 friends are written on 6 different faces of a cube. If ‘Sita’ is in between ‘Ram’ and ‘Aum’, ‘Rohit’ is opposite to ‘Animesh’, then which name must be on the face opposite to ‘Kavita’?
Anonymous Quiz
2%
(a) Aum
23%
(b) Animesh
18%
(c) Ram
57%
(d) Sita
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👆Ans. d
Explanation:
Here it is clearly mentioned that Rohit is opposite to Animesh. Also, Sita is in between Ram and Aum, which means that Ram and Aum must be opposite to each other.
Now, we are left only with Kavita and Sita. So, they will be facing each other.
Ram ⟷ Aum
Rohit ⟷ Animesh
Kavita ⟷ Sita
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Explanation:
Here it is clearly mentioned that Rohit is opposite to Animesh. Also, Sita is in between Ram and Aum, which means that Ram and Aum must be opposite to each other.
Now, we are left only with Kavita and Sita. So, they will be facing each other.
Ram ⟷ Aum
Rohit ⟷ Animesh
Kavita ⟷ Sita
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Three German citizens A, B and C are related to each other. A, who is a female, is the ‘lassly’ of B and C. B is the ‘lassly’ of C. Which of the following may be the relation that is implied by the word ‘lassly’?
Anonymous Quiz
48%
(a) Sister
26%
(b) Mother
22%
(c) Niece
4%
(d) Brother
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👆Ans. A
Explanation:
As A is a female, we can eliminate option (D), i.e. brother, straightaway. Now, as A share the same relation with B and C that B shares with C, they must belong to the same generation. Hence, we can rule out options (B) and (C) too.
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Explanation:
As A is a female, we can eliminate option (D), i.e. brother, straightaway. Now, as A share the same relation with B and C that B shares with C, they must belong to the same generation. Hence, we can rule out options (B) and (C) too.
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Mr. Suresh owns a 5 metre × 4 metre coffee shop. He plans to tile the rectangular floor of this shop with grey-coloured square tiles. Each side of the tile measures 20 cm. What must be the total cost of fitting the tiles, if they cost Rs. 40 per piece?
Anonymous Quiz
1%
(a) Rs. 12,000
24%
(b) Rs. 16,000
21%
(c) Rs. 24,000
54%
(d) Rs. 20,000
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👆Ans. D
Explanation:
Area of coffee shop = 5 metre × 4 metre = 20 square metres
Area of one tile = 0.2 metres × 0.2 metre = 0.04 square metres
Number of tiles required = Area of rectangular region / Area of one square tile = 20 square metres / 0.04 square metres = 500
Therefore, total cost of fitting the tiles = number of tiles × cost of fitting 1 tile = 500 × 40 = Rs. 20,000
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Explanation:
Area of coffee shop = 5 metre × 4 metre = 20 square metres
Area of one tile = 0.2 metres × 0.2 metre = 0.04 square metres
Number of tiles required = Area of rectangular region / Area of one square tile = 20 square metres / 0.04 square metres = 500
Therefore, total cost of fitting the tiles = number of tiles × cost of fitting 1 tile = 500 × 40 = Rs. 20,000
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How many numbers with distinct digits are there, such that the product of digits of each number is 27?
Anonymous Quiz
8%
(a) 7
24%
(b) 9
63%
(c) 8
5%
(d) 6
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👆Ans. C
Explanation:
Two digit numbers: The two digits can be 3 and 9: Two possibilities - 39 and 93.
Three-digit numbers: The three digits can be 1, 3 and 9, i.e. 3! or 6 possibilities - 139, 193, 319, 391, 913, 931. We cannot have three digits as (3, 3, 3) as the digits have to be distinct.
Also, we cannot have numbers with 4 digits or more without repeating the digits. So, there are a total of 8 such numbers.
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Explanation:
Two digit numbers: The two digits can be 3 and 9: Two possibilities - 39 and 93.
Three-digit numbers: The three digits can be 1, 3 and 9, i.e. 3! or 6 possibilities - 139, 193, 319, 391, 913, 931. We cannot have three digits as (3, 3, 3) as the digits have to be distinct.
Also, we cannot have numbers with 4 digits or more without repeating the digits. So, there are a total of 8 such numbers.
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If in the year 2006 rate of simple interest is 20% per annum and rate of compound interest is 10% per annum, what will be the difference between interests earned by a money lender from simple interest and compound interest for a year?
Anonymous Quiz
6%
(a) Rs. 30,000
27%
(b) Rs. 10,000
59%
(c) Rs. 20,000
7%
(d) Rs. 40,000
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👆Ans. C
Explanation:
From the graph it is clear that amount lent on simple interest in year 2006 = Rs. 250000, rate of interest = 20 % per annum and time = 1 year
Simple interest = (250000 × 20 × 1)/100 = Rs. 50000
Amount lent on compound interest in year 2006 = Rs. 300000, rate of interest = 10 % per annum and time = 1 year
Compound interest = (300000 × 10 × 1) /100 = Rs. 30000
Difference between interests earned by money lender from simple interest and compound interest in year 2006 = 50000 – 30000 = Rs. 20,000
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Explanation:
From the graph it is clear that amount lent on simple interest in year 2006 = Rs. 250000, rate of interest = 20 % per annum and time = 1 year
Simple interest = (250000 × 20 × 1)/100 = Rs. 50000
Amount lent on compound interest in year 2006 = Rs. 300000, rate of interest = 10 % per annum and time = 1 year
Compound interest = (300000 × 10 × 1) /100 = Rs. 30000
Difference between interests earned by money lender from simple interest and compound interest in year 2006 = 50000 – 30000 = Rs. 20,000
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An encrypted code consists of two distinct English alphabets followed by two distinct numbers from 1 to 9. For example, YZ25 is an encrypted code. How many such distinct codes are possible?
Anonymous Quiz
4%
(a) 71950
24%
(b) 61580
27%
(c) 41080
45%
(d) 46800
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👆Ans. D
Explanation:
Here, first two positions are fixed for alphabets and the last two for numbers.
Let encrypted code be a1 a2 b1 b2. Where a1, a2 are English alphabets, and b1, b2 are numbers.
There are 26 English alphabets and we have to choose 2 distinct alphabets. First alphabet can be selected in 26 ways and second alphabet can be chosen in 25 ways.
Out of 9 digits (1 to 9), first digit can be selected in 9 ways and second digit can be selected in 8 ways. Thus, the number of possible distinct codes = 26 × 25 × 9 × 8 = 46800
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Explanation:
Here, first two positions are fixed for alphabets and the last two for numbers.
Let encrypted code be a1 a2 b1 b2. Where a1, a2 are English alphabets, and b1, b2 are numbers.
There are 26 English alphabets and we have to choose 2 distinct alphabets. First alphabet can be selected in 26 ways and second alphabet can be chosen in 25 ways.
Out of 9 digits (1 to 9), first digit can be selected in 9 ways and second digit can be selected in 8 ways. Thus, the number of possible distinct codes = 26 × 25 × 9 × 8 = 46800
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📌30 Nov 2023
Q1. Two trains A & B running in opposite directions take 5 minutes to cross each other. Their lengths are 2000 meters and 1600 meters respectively. Speeds of these trains are x & y kmph respectively. Which of the following relationship(s) between their speeds is/are true?
(a) 100x + 10y = 360
(b) 100x + 100y = 3600
(c) x + y = 43.2
(d) Both (b) & (c) are correct
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Q1. Two trains A & B running in opposite directions take 5 minutes to cross each other. Their lengths are 2000 meters and 1600 meters respectively. Speeds of these trains are x & y kmph respectively. Which of the following relationship(s) between their speeds is/are true?
(a) 100x + 10y = 360
(b) 100x + 100y = 3600
(c) x + y = 43.2
(d) Both (b) & (c) are correct
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