Directions: Each of the questions given below is followed by series of options among which you have to choose the best one. You can also review your choices by clicking into answer section.
1. b – [b -(a+b) – {b – (b – a+b)} + 2a] = ?
A. 0
B. 4a
C. a
D. -2a
Answer
Explanation:
= b – [b -(a+b) – {b – (b – a+b)} + 2a]
= b – [b -a -b – {b -b +a -b} + 2a]
= b – [b -a -b – {a -b} + 2a]
= b – [b -a -b – a +b + 2a]
= b – [b]
= b – b
= 0
2. David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross?
A. 19
B. 28
C. 30
D. 37
Answer
Explanation:
Suppose their paths cross after x minutes.
Then, 11 + 57x = 51 – 63x
120x = 40
x = 1/3
Number of floors covered by David in (1/3) min = (1/3)x57=19
So, their paths cross at (11 +19) i.e., 30th floor.
3. A man has Rs. 312 in the denominations of one-rupee notes, five-rupee notes and twenty-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has?
a) 36
b) 24
c) 28
d) 32
Answer
Explanation:
Let the number of notes of each denomination be x
Then, x + 5x + 20x = 312
26x = 312
So, x = 312/26 = 12
The total number of notes that he has = 3x = 3 × 12 = 36
4. (31/10) * (3/10) + (7/5) / 20
A. 0
B. 107/200
C. 100
D. 1
Answer
Explanation:
No explanation
5. An organization decided to raise Rs. 6 lakh by collecting equal contribution from each of its employees. If each of them had contributed Rs. 60 extra, the contribution would have been Rs. 6.24 lakh. How many employees are there in that organization?
A. 400
B. 300
C. 200
D. 100
Answer
Explanation:
Required number of employees = (624000 – 600000)/60 = 24000/60 = 400
6. Find the value of [1-(1/3)][1-(1/4)][1-(1/5)]…..[1-(1/100)].
A. 2/54
B. 1/50
C. 5/49
D. 3/52
Answer: Option B
Answer
Explanation:
Given expression = (2/3)*(3/4)*(4/5) *….* (99/100) = 2/100 = 1/50.
7. The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
A. Rs. 3500
B. Rs. 3750
C. Rs. 3840
D. Rs. 3900
Answer
Explanation:
Let the cost of a chair and that of a table be Rs. x and Rs. y respectively.
Then, 10x = 4y or y = 5
15x + 2y = 4000
15x + 2 x (5x/2)=4000
20x=4000
X=200
So, y= (5x/2)
= (5x 200)/2
=500
Hence, the cost of 12 chairs and 3 tables = 12x + 3y
= Rs. (2400 + 1500)
= Rs. 3900.
8. (272 – 32)(124 + 176) / (17 * 15 – 15)
A. 0
B. 300
C. 2.25
D. None of these
Answer
Explanation:
No explanation
9. A man divides Rs.8600 among 5 sons, 4daughters and 2 nephews .If each daughter receives four times as much as each nephews and each son receives five times as much as each nephews ,how much does each daughter receive?
A. 100
B. 500
C. 200
D. 600
Answer: Option C
Answer
Explanation:
Let the share of each nephews be Rs.x
Then, share of each daughter=Rs.4x
Share of each son=Rs.5x;
So, 5*5x+4*4x+2*x=8600
or, 25x+16x+2x=8600
or, 43x=8600
So, x = 200
10. To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present?
A. 63
B. 64.5
C. 62.5
D. 60.5
Answer
Explanation:
Let capacity of 1 bucket = x
Capacity of the tank = 25x
New capacity of the bucket = 2x/5
Hence, number of buckets needed = 25x/(2x/5) = 25×5/2 = 62.5
11. One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund?
A. Rs. 30,000
B. Rs. 50,000
C. Rs. 60,000
D. Rs. 90,000
Answer
Explanation:
Let savings in N.S.C and P.P.F. be Rs. x and Rs. (150000 – x) respectively. Then,
(1/3)x=(1/2) (150000 – x)
(x/3) + (x/2)=75000
(5x/6)= 75000
X= (75000 x 6)/5= 90000
Savings in Public Provident Fund = Rs. (150000 – 90000) = Rs. 60000
12. Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed?
A. 602
B. 528
C. 413
D. 512
Answer
Explanation:
Let number of children be n
If the number children = n, number of books each child will get = n/8
Total books distributed =n×n/8=n2/8
If the number children = n/2, number of books each child will get = 16
Total books distributed =n/2×16=8n
Since total books are same, we can write as n2/8 =8n
n/8=8
So, n=64
Total number of notebooks those were distributed = n2/8
= 64×64/8
= 64×8
= 512
13. What fraction of 35 needs to be added become 214?
A. 54
B. 234
C. 214
D. 34
Answer
Explanation:
Let x be the required fraction, 35x+35=21435x+35=94⇒35x=94−35=(45−12)20=3320⇒x=3320×53=114=234
14. 5005 – (5000/10)
A. 0.5
B. 5000
C. 50
D. 4505
Answer
Explanation:
No explanation
15. A board 7ft. 9 inches long is divided into 3 equal parts . What is the length of each part?
A. 3ft. 6 inches
B. 5ft. 9 inches
C. 8ft. 5 inches
D. 2ft. 7 inches
Answer
Explanation:
Length of board = 7ft. 9 inches
= (7*12+9) inches
= 93 inches
=>Length of each part = (93/3) inches
= 31 inches
= 2ft. 7 inches
