Simplification for IBPS PO test 8-Solved questions with detailed explanations for SSC, IBPS PO, SBI PO, RRB, RBI, CSE, CGL, CHSL, CDA, CSE, UPSC

16)

Raveena could get equal number of ₹ 55, ₹ 85 and ₹ 105 tickets for a movie. She spent ₹ 2940 for all the tickets. How many of each did she buy?

[IBPS PO/MT CWE, 2011]

A)
12
B)
18
C)
16
D)
Cannot be determined
E)
None of these

Answer: Option A

Explanation

Let the number of tickets of each value be 'x'

$\begin{array}{l} ∴ 55 x + 85 x + 105 x = 2940 \\ \Rightarrow 245 x = 2940 \\ \Rightarrow x = \frac{2940}{245} =12 \end{array}$

Hence, option A is correct.

Discussion

17)

There are two numbers such that the sum of twice the first number and thrice the second number is 100 and the sum of thrice the first number and twice the second number is 120. Which is the larger number?

[Corporation Bank (PO), 2010]

A)
32
B)
12
C)
14
D)
35
E)
None of these

Answer: Option A

Explanation

$\begin{array}{l} Let the numbers be x and y, where \\ x > y. \\ ∴ 2 x + 3 y = 100 ----(i) \\ 3 x + 2 y = 120 ----(ii) \\ From Eq. (ii) x 3- Eq. (i) x 2, we have \\ \Rightarrow 9 x + 6 y - 4 x - 6 y = 360 - 200 \\ \Rightarrow 5x = 160 \\ ∴ x = \frac{160}{5} = 32 \end{array}$

Hence, Option A is correct.

Discussion

18)

There are some parrots and some tigers in a forest. If the total number of animal heads in the forest are 858 and total number of animal legs are 1746, what is the number of parrots in the forest?

[Corporation Bank (PO), 2010]

A)
845
B)
833
C)
800
D)
Cannot be determined
E)
None of these

Answer: Option E

Explanation

$\begin{array}{l} If the number of parrots in the forest is x, \\ then number of tigers = 858 - x \\ ∴ x \times 2+ (858- x) \times 4=1746 \\ \Rightarrow 2 x = 3432 - 1746 = 1686 \\ \Rightarrow x = \frac{1686}{2} \\ = 843 \end{array}$

Hence, option E is correct.

Discussion

19)

There are some parrots and some tigers in a forest. If the total number of animal heads in the forest are 858 and total number of animal legs are 1746, what is the number of parrots in the forest?

[Bank of India Banking Officer, 2010]

A)
6
B)
12
C)
9
D)
Cannot be determined
E)
None of these

Answer: Option C

Explanation

Here,

The number of extra sweets for 150 absnet children = 300×3= 900

∴ Number of sweets each student gets

$\begin{array}{l} = \frac{900}{150} + 3 = 9 \end{array}$

Hence, option C is correct.

Discussion

20)

The bus fare for one person is ₹ 420 from Agra to Aligarh and train fare between the same places for one person is equal to three-fourth the bus fare for two persons between the same places. What is the total fare paid by 2 persons travelling by bus and 4 persons travelling by train between the two places?

[Central Bank of India (PO), 2010]

A)
₹ 3360
B)
₹ 3440
C)
₹ 3460
D)
₹ 3406
E)
None of these

Answer: Option A

Explanation

Here,

Bus fare for one person = Rs. 420

Train fare for one person = $\frac{3}{4} \times 840$

=3×210=Rs. 630

Total fare paid = 2×420+4×630

= 840+2520= Rs. 3360

Hence, option A is correct.

Discussion

Simplification-Test 8 (Based on Algebraic formulae/Statement simplifications)

Answer: Option A

Answer: Option A

Answer: Option E

Answer: Option C

Answer: Option A