Simplification question for IBPS, SBI, RBI, clerk, PO, Railways, SSC

[Q] In a group of ducks and cows, the total number of legs are 28 more than twice the number of heads. Find the total number of cows.
(a) 17
(b) 33
(c) 24
(d) 14

Solution

Answer    (d)
Explanation
----
Let the number of ducks be d
and number of cows be c

Then, total number of legs = 2d + 4c = 2(d + 2c)

total number of heads = c + d

Given that total number of legs are 28 more than twice the number of heads
=> 2(d + 2c) = 28 + 2(c + d)
=> d + 2c = 14 + c + d
=> 2c = 14 + c
=> c = 14

i.e., total number of cows = 14

Simplification question for IBPS, SBI, RBI, clerk, PO, Railways, SSC

[Q] A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:
(a) 62
(b) 26
(c) 36
(d) 63

Solution

Answer    (b)
Explanation
----
Let the number of hens be x and the number of cows be y.
Then, x + y = 48 .... (i)
  and 2x + 4y = 140      x + 2y = 70 .... (ii)
Solving (i) and (ii) we get: x = 26, y = 22.
The required answer = 26.

Simplification question for IBPS, SBI, RBI, clerk, PO, Railways, SSC

[Q] In a class there are equal number of boys and girls. Eight girls left the room, leaving twice as many boys as girls in the room . What was the total number of boys and girls present in the room initially?
(a) 14
(b) 32
(c) 33
(d) 24

Solution

Answer    (b)
Explanation
----
Assume that initial number of boys = initial number of girls = x

2(x-8) = x
=> 2x - 16 = x
=> x = 16

Total number of boys and girls = 2x = 2 × 16 = 32

Simplification question for IBPS, SBI, RBI, clerk, PO, UPSC, State-PSC, Railways, SSC

[Q] If a - b = 3 and a² + b² = 29, find the value of ab.
(a) 40
(b) 10
(c) 30
(d) 20

Solution

Answer    (b)
Explanation
----
2ab = (a² + b²) - (a - b)²
   = 29 - 9 = 20
   ab = 10.

Simplification question for IBPS, SBI,Clerk, PO, RBI, clerk, Railways, SSC

[Q] Mohan has Rs. 720 in the denominations of 1-rupee coin, 2-rupee coin and 5-rupee coins. The number of coins of each denomination is equal. What is the total number of coins that he has ?
(a) 660
(b) 270
(c) 560
(d) 470

Solution

Answer    (b)
Explanation
----
Let number of coins of each denomination be x.
Then x + 2x + 5x =720
8x =720
x = 90.
Hence, total number of notes = 3x = (3 x 90) = 270.

Simplification question for clerk

[Q] 10 / 5 / 2 = ?
(a) 1
(b) 2
(c) 3
(d) 4

Solution

Answer    (a)
Explanation
----
10 / 5 / 2
= 10 / (5 x 2)
= 10 / 10
= 1 

Simplification question for IBPS, SBI,PO, RBI, clerk, Railways, SSC

[Q] b - [b -a -b - {a -b} + 2a]= ?
(a) 1
(b) 0
(c) 3
(d) 2

Solution

Answer    (b)
Explanation
----
b - [b -a -b - {a -b} + 2a]

= b - [b -a -b - a +b + 2a]

= b - [b]

= b - b

= 0

Simplification question for IBPS-clerk, Railways, SSC

[Q] 213+312+414 = ?
(a) 1
(b) 2
(c) 3
(d) 4

Solution

Answer    (a)
Explanation
----
213+312+414=73+72+174=(28+42+51)12=12112=10112