Practice Data sufficiency - verbal reasoning Online Quiz (set-1) For All Competitive Exams
Directions:
In each of the following problems, there is one question and three statements I, II and III given below the question. You have to decide whether the data given in the statements is sufficient to answer the question. Read all the statements carefully and find which of the statements is/are sufficient to answer the given question. Choose the correct alternative in each question.
Q-1) Who among A, B, C, D and E was the first to reach the station?
(1) B reached earlier than E, A and C were not the first to reach.
(2) A reached earlier than both C and E, but could not reach earlier than D, who was at the station before B.
(3) C didn't reach just after A
(a)
(b)
(c)
(d)
(e)
From (1) E > B (B is earlier than E) and A and C are not first From (2) C,E > A (A reached earlier than C and E) and also A > D (D is earlier than A) and B > D (D was at station before B ) so we get D is first to reach the station From 3) we can't say anything
Directions:
In each of the questions below consists of a question and 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.
Q-2) In a four floor building, on which floor does P live?(Ground floor is numbered 1)
I. P lives exactly above R's flat, whose flat is exactly above S's flat
II. Q lives above P's flat and S lives on the first floor
(a)
(b)
(c)
(d)
(e)
Q P R S
Directions:
In each of the questions below consists of a question and 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.
Q-3) How many pens does A have ?
I. A has 12 pens less than what B have
II. D has eight pens, which are twenty percent less than what B has
(a)
(b)
(c)
(d)
(e)
D =8 B = 8*100/20 = 40 A = 40-12 = 28
Directions:
In each of the questions below consists of a question and 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.
Q-4) Seven friends P, Q, R, S, T, U and V are sitting in a circular table facing the centre. Who is sitting on the immediate left of R.
I. Q is fourth to the right of P, who is not an immediate neighbour of either S or R, V sits third to the right of T.
II. U sits second to the right of V and T sits second to the right of U.
(a)
(b)
(c)
(d)
(e)
Here either or condition used for R. So we cant find the exact position.
Directions:
In each of the questions below consists of a question and 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.
Q-5) How is ' home' written in a given language?
I. 'go to home' is written as ' sa la da' and 'on the way' is written as 'ni da ka'
II. 'way for market is written as ' sh da pi' and way to home is written as ' da pi ma'
(a)
(b)
(c)
(d)
(e)
go to home => pi ma da way for market => sh da si way to home => da pi ma way => da, to/home=> ma/pi
Directions:
Each of the questions below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
Q-6) What is the height of a right-angled triangle ?
(1) The area of the right-angled triangle is equal to the area of a rectangle whose breadth is 12 cm.
(2) The length of the rectangle is 18 cm.
(a)
(b)
(c)
(d)
(1) ⇒ Area of right-angled triangle = 12 × L
(2) ⇒ L = 18 cm.
∴ Using (1) and (2) we can only calculate the area of right-angled triangle. Since we don't know the base of triangle, the height cannot be calculated.
Directions:
Each of the questions below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
Q-7) What is Sudha's present age ?
(1) Sudha's present age is five times her son's present age.
(2) Five years ago her age was twenty-five times her son's age that time.
(a)
(b)
(c)
(d)
(1) ⇒ M = 5S
(2) ⇒ M – 5 = 25 (S – 5)
Solving these equations, we get the value of M. Therefore, both statements together are required to answer the question.
Directions:
Each of the questions below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
Q-8) ABCD is a square. What is the value of circumference of the inner circle?
(1) The radius of the outer circle is 10 cm.
(2) The difference between the radii of the two circles is 2.929 cm.
(a)
(b)
(c)
(d)
(1) ⇒ OC = 10 cm
∴ Diagonal of square = 20 cm
⇒ Side of square = ${20}/√2 = 10√2$ cm
∴ radius of the inner circle OE = ${10 √2}/2 = 5√2$ cm. Hence circumference of inner circle can be determined. Therefore, statement (1) alone is sufficient to answer the question.
(2) ⇒ It is not sufficient to answer the question.
Directions:
Each of the questions below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
Q-9) Average age of 50 employees working in a departmental store is 30 years. In the next year, ten workers will retire. What will be the average age in the next year?
(1) Retirement age is sixty years.
(2) There are 100 workers in the department.
(a)
(b)
(c)
(d)
Given : Sum of ages of employees = 1500
(1) ⇒ In the next year, sum of ages = 1500 – 10 × 59
and remaining employees = 50 – 10 = 40
Hence, average age in next year can be calculated.
(2) ⇒ It is insufficient to answer the question.
Directions:
Each of the questions below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
Q-10) If t is a multiple of prime number S, is t a multiple of $S^2$?
(1) S < 4
(2) t = 18
(a)
(b)
(c)
(d)
Given, t = nS
From (1) : The value of S will be either 3 or 2
From (2) : t = 18
Hence, we can find the answer using both the statements.
Directions:
Each of the questions below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
Q-11) How many houses on the street are painted blue ?
(1) Houses on the east side with number 122 through 182 are painted blue ?
(2) Houses on the west and east sides have consecutive odd and even number respectively.
(a)
(b)
(c)
(d)
(2) ⇒ Houses on east side have only even number i.e. 122, 124, 126,......., 180, 182.......
(1) ⇒ Houses with number 122, 124, 126,......., 182 are painted blue.
⇒ 31 houses are painted blue.
∴ Both statements together are necessary to answer the question.
Directions:
Each of the questions below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
Q-12) Who among the three friends A, B and C reached the school first?
(1) A reached the school at 7.15 am five minutes before the bell rang.
(2) B reached before C, who reached the school before the bell rang.
(a)
(b)
(c)
(d)
(1) ⇒ Bell range at 7.15 + 5 = 7.20 am
(2) ⇒ Both B and C reached the school before 7.20am (using 1).
But exact time of reaching can't be determined. Hence, comparison is not possible.
Directions:
Each of the questions below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
Q-13) Is the integer divisible by 3?
(1) the last digit in n is 3.
(2) n + 5 is divisible by 6.
(a)
(b)
(c)
(d)
(1) ⇒ Last digit of n is 3
⇒ n may be 3, 13, 23, 33, 43, 53, 63, .........
(2) ⇒ n + 5 is divisible by 6
⇒ n may be 1, 7, 13, 19, 25, 31, 37, 43, .........
Hence, we cannot be determined that integer is divisible by 3 even using both the statements.
Directions:
Each of the questions below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
Q-14) Is y larger than 1 ?
(1) y is larger than 0
(2) $y^2$ - 4 > 0
(a)
(b)
(c)
(d)
(2) ⇒ $y^2$ > 4 ⇒ -2 < y < 2
(1) ⇒ y > 0 ⇒ 0 < y < 2
Hence, using both the statements we cannot be determined whether y is larger than 1 or smaller than 1.
Directions:
Each of the questions below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
Q-15) What is the value of a two-digit number ?
(1) The sum of the two digits is 4.
(2) The difference between the two digits is 2.
(a)
(b)
(c)
(d)
(1) ⇒ x + y = 4
(2) ⇒ x – y = 2
Solving above equations, we get x and y. But the numbers may be either 10x + y or 10 y + x. Hence, we can't get the solution.
∴ Both statements together are not sufficient to answer the question.
Directions:
Each of the questions below consists of a question and 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. Read both the statements and give answer
Q-16) What is the percentage of families in the city have telephones?
(I) 50 % of the families of the city have televisions.
(II) 30% of the television owners of the city have telephones.
(a)
(b)
(c)
(d)
Let total families in city = x
(I) ⇒ Families having television = $x/2$
(II) ⇒ Families having telephones = 30% of $x/2 = {3x}/{20}$
∴ Required % = ${3x\20}/x$ × 100
Hence, both statements together are necessary to answer the question.
Directions:
Each of the questions below consists of a question and 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. Read both the statements and give answer
Q-17) 
What is the length of AB + CD ?
(I) AD = 30
(II) BC = 10
(a)
(b)
(c)
(d)
Here, AD = AB + BC + CD
AB + CD = AD – BC
Hence, both the statements together are necessary to answer the question.
Directions:
Each of the questions below consists of a question and 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. Read both the statements and give answer
Q-18) What percentage rate of simple interest per annum did Ashok pay to Sudhir ?
(I) Ashok borrowed Rs.8000 from Sudhir for four years.
(II) Ashok returned Rs.8800 to Sudhir at the end of two years and settled the loan.
(a)
(b)
(c)
(d)
(I) gives P
(II) gives A and T
Now, since I = A – P and R = ${I × 100}/{P × T}$
Hence, both the statements together are sufficient to answer the question.
Directions:
Each of the questions below consists of a question and 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. Read both the statements and give answer
Q-19) What is the average monthly income per family member?
(I) Each male earns Rs.1,250 a month and each female earns Rs.1,050 a month.
(II) Ratio of males to females in the family is 2 : 1
(a)
(b)
(c)
(d)
(I) ⇒ M = 1,250 and F = 1,050
(II) ⇒ M : F = 2 : 1
Combining both the statements, we get
Average = ${2K × 1250 + K × 1050}/{3K}$
⇒ Both statements together are sufficient to answer the question.
Directions:
Each of the questions below consists of a question and 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. Read both the statements and give answer
Q-20) What is the rate of simple interest per annum ?
(I) The sum triples in 20 years at simple interest.
(II) The difference between the sum and the simple interest earned after 10 years is Rs.1000.
(a)
(b)
(c)
(d)
∵ I = ${P × R × T}/{100}$ = and Amount = P + I
(I) ⇒ Amount = 3P = P + I ⇒ I = 2P
∴ R = ${I × 100}/{P × T} = {2P × 100}/{P × 20}$ = 10%
(II) ⇒ P – I = 1000; here neither the sum nor interest is given.
∴ Hence, only statement I alone is sufficient.